help with this example, I'm from Kazakhstan, sorry, help in any way you can ​

Help With This Example, I'm From Kazakhstan, Sorry, Help In Any Way You Can

Answers

Answer 1

The inequalities are factorized to;

1. x > 5 and x > -1          

x > 2 and x > -6

2. x < 2

x < -4 and x < 2

3. x > 7

x> 1 and x> 3

How to solve the inequalities

From the information given, we have the inequalities;

(x - 5)(x + 1)> 0

expand the bracket, we get;

x² + x - 5x - 5> 0

x(x + 1) - 5(x + 1) > 0

x > 5 and x > -1

2. x-2/x + 3 < 0

cross multiply the values

x - 2< 0

make 'x' the subject

x < 2

3. x -7/x + 4 > 0

cross multiply the values

x - 7> 0

make 'x' the subject

x > 7

x² + 4x - 12 > 0

x² + 6x - 2x - 12> 0

Factorize

x(x + 6) - 2(x + 6)> 0

x > 2 and x > -6

x² - 2x - 8< 0

x² -2x + 4x - 8 < 0

Factorize

x(x - 2) + 4(x -2 )< 0

x < -4 and x < 2

x² - 4x + 3 > 0

x² - 3x - x + 3> 0

factorize

x(x - 3) - 1(x - 3)> 0

x> 1 and x> 3

Learn about inequalities at: https://brainly.com/question/25275758

#SPJ1


Related Questions

I will mark you brainiest!

Which of the following choices is matched with ∠MLA to make alternate interior angles? A) ∠GAL
B) ∠FAH
C) ∠LMB
D) ∠CLH

Answers

Answer:BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB TRUST ME

Step-by-step explanation:

the answer is B) angle FAH

penny would love to open a coffee shop at her local shopping centre, so she decides to hand out a questionnaire at the shopping center's entrance in order to do market research. draw up a questionnaire that penny could use to gather the information she requires

Answers

Penny plans to distribute a questionnaire at the entrance to the coffee shopping center in order to do market research because she would love to build a coffee shop there which are explained.

Explain about the term questionnaire?

Market research is crucial for helping you understand the present status of the coffee shop business as well as for figuring out how to shape various areas of your company to draw in the suitable clients.

Penny plans to distribute a questionnaire at the entrance to the shopping center in order to do market research because she would love to build a coffee shop there.

Penny may utilize a questionnaire to collect the data she needs, which would include the following:

What are the current consumption patterns of customers at coffee shops? Do they stop by for a quick take-out latte on their way to work or come in for a sit-in coffee plus snack at lunchtime?What qualities define a normal coffee shop patron? Are families as well as teenage groups of friends much more prevalent than offices?What is the typical client budget?What are the best-selling products? What about flapjacks and scones for a snack or a flat white or an americano?

know more about the questionnaire

https://brainly.com/question/29393829

#SPJ1

15. Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized.
60°
2√6
Oz=4√6.y=6√2
Oz= 8√3,y=6
= 4√6, y=6
Oz=6√2y = 8√3

Answers

Thus, the length of the missing side for the given Right triangles using  the Trigonometric Ratios is found as :x = 18.47 units.

What is meant by Trigonometric Ratios?In order to examine the sides of both a right triangle, which will depend on an acute angle, trigonometric ratios are used. Right triangles what about those produced by the intersection of the legs, which have an internal angle of 90 degrees. We can determine the right triangle's missing sides or sharp angles using trigonometric ratios.

The leg, denoted as, that is next to the 30 degree angle θ is represented by Side BC. To get the length of side BD, the hypotenuse of triangle BCD, we use the cosine ratio.

cos θ = Adjacent leg / Hypotenuse = BC/BD

cos 30° = 8√2 / BD

Now, we know.

cos 30° = √3/2

√3/2 =  8√2 / BD

BD = 8√2 / √3/2

BD = 16√2 / √3

On rationalising;

BD = 16√2*√3 / √3*√3

BD = 16√6 / 3

Sin A = Opposite leg /Hypotenuse = BD / x

Sin 45° = (16√6 / 3) / x =  16√6 / 3x

We know that:

Sin 45° = 1/√2

(1/√2) = 16√6 / 3x

(1/√2) * x = 16√6 /3

Or,

√2/2 * x = (16√6 /3) * (2/√2)

x = 32√3 / 3

x = 18.47

Thus, the length of the missing side for the given Right triangles using  the Trigonometric Ratios  is found as :x = 18.47 units.

Know more about the Trigonometric Ratios

https://brainly.com/question/24133971

#SPJ1

The correct question is-

Find the missing side length. Give the answer as radicals in simplest form.

what us the order of 5 x 10^4, 7 x 10^-5, 3 x 10^-9, 8 x 10^4 from the least to greatest

Answers

Answer: 5x10^4, 8x10^4, 10^-5, 10^4

Step-by-step explanation: calculator

12. The large triangular figure below is composed of triangles that each have a base and height of 4 cm.
What is the area of the large figure?
A. 64 cm2
B. 72 cm 2
C. 128 cm 2
D. 144 cm2

Answers

By answering the above question, we may state that The solution is triangle closest to option d: 58% x, 42% y.

What precisely is a triangle?

A triangle is a polygon because it contains four or more parts. It features a simple rectangular shape. A triangle ABC is a rectangle with the edges A, B, and C. When the sides are not collinear, Euclidean geometry produces a single plane and cube. If a triangle contains three components and three angles, it is a polygon. The corners are the points where the three edges of a triangle meet. The sides of a triangle sum up to 180 degrees.

The total sales of product x may be computed as follows: 5,000 units * $110/unit selling price = $550,000

The total sales of product y may be computed as follows: 35,000 units * $70/unit selling price = $2,450,000

The total sales of both goods are as follows: $550,000 + $2,450,000 = $3,000,000

Hence the proportion of revenue provided by product x is: $550,000 / $3,000,000 = 0.1833 or 18.33%

And the proportion of sales produced by product y is: $2,450,000 / $3,000,000 = 0.8167 or 81.67%

As a result, Rusty Co.'s sales mix was 18.33% x and 81.67% y last year.

The solution is closest to option d: 58% x, 42% y.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

How do I solve for the answer please?

Answers

The value of the 5 measurements according to the given function is 66.

What is summation of values?

When a group of numbers, known as addends or summands, are added together in mathematics, the outcome is their sum or total. Functions, vectors, matrices, polynomials, and, generally, any sort of mathematical object on which an operation labelled "+" is specified can all be added together, in addition to integers. The position of the items in a sequence is frequently used to characterise them through a regular pattern. Long sequences can be summarised for basic patterns by replacing most summands with ellipses.

The function is given as:

[tex]\sum_{i = 1}^5 (x_i^2)\\\\\sum_{i = 1}^5 = x_1 + x_2 + x_3 +x_4 + x_5\\\\\sum_{i = 1}^5 (x_i^2) = 12 + 14 + 16 + 7 + 17 = 66[/tex]

Hence, the value of the 5 measurements according to the given function is 66.

Learn more about integers here:

https://brainly.com/question/490943

#SPJ1

Ball Bearings, Inc., faces costs of production as follows:
Quantity
Total Fixed Costs
Total Variable Costs
(Dollars)
(Dollars)
0 120 0
1 120 60
2 120 80
3 120 100
4 120 140
5 120 200
6 120 320
Complete the following table by calculating the company's total cost, marginal cost, average fixed cost, average variable cost, and average total cost at each level of production.
Quantity
Total Cost
Marginal Cost
Average Fixed Cost
Average Variable Cost
Average Total Cost
(Dollars)
(Dollars)
(Dollars)
(Dollars)
(Dollars)
0

1

2

3

4

5

6


The price of a case of ball bearings is $60. Seeing that the company can't make a profit, the company's chief executive officer (CEO) decides to shut down operations.
The firm's profit in this case is
$
. (Note: If the firm suffers a loss, enter a negative number in this cell.)
True or False: This was a wise decision.

True
False
Vaguely remembering an introductory economics course, the chief financial officer tells the CEO it is better to produce 1 case of ball bearings, because marginal revenue equals marginal cost at that quantity.
At this level of production, the firm's profit is
$
. (Note: If the firm suffers a loss, enter a negative number in this cell.).
True or False: This is the best decision the firm can make.

True
False

Answers

The firm's profit in this case is = $360.

What is the total cost?

The total economic cost of production is made up of two types of costs: the variable cost, which changes depending on how much of a good is produced and includes inputs like labour and raw materials, and the fixed cost, which is unaffected by how much of a good is produced and includes inputs like buildings and machinery that cannot be changed in the short term, possibly including sunk costs.

In economics, the whole cost of each unit of production, whether fixed or variable, includes the total opportunity cost (benefits from the next-best alternative).

Example:

Q        Fixed       Variable    Total    Marginal    Aver.     Aver.     Aver.

       Costs        Costs         Cost    Cost           FC         VC         TC      

0          100             0              100         -               -             -             -

1           100           50               150       150           100         50         150

2          100           70               170         20            50         35          85

3          100           90               190        20           33.33      30        63.33

4          100          140               240       50            25          35          60

5          100         200               300       60            20          40          60

6          100         360              460      160           16.67       60        76.67

The firm's profit in this case is = $360.

To know more about total cost, visit:

brainly.com/question/25109150

#SPJ9

The number 72 lies between the perfect squares. So the square root of 72 lies between the numbers

Answers

Answer:

To find the numbers between which the square root of 72 lies, we need to determine the perfect squares that are closest to 72.

The perfect squares closest to 72 are 64 (8^2) and 81 (9^2). Since 72 is closer to 81 than to 64, we know that the square root of 72 is closer to 9 than to 8.

Therefore, the square root of 72 lies between the numbers 8 and 9. We can write this as:

8 < √72 < 9y-step explanation:

Martin recorded data on the temperature one day in two of his favorite places.
Temperature
-12 degrees F
82 degrees F
He was surprised when he calculated the difference as 94 degrees F. Do you think he was correct?

Answers

The actual difference between the twο temperatures is: 94 degrees F

What is Temperature?

Temperature is measure οf  degree οf hοtness οr cοldness οf  οbject οr substance. It is  physical quantity that describes average kinetic energy οf  particles that make up οbject οr substance.

Temperature is a usually measured using thermοmeter, which cοnsists οf  narrοw, unifοrm tube filled with  liquid, like mercury οr alcοhοl

Nο, Martin's calculatiοn is nοt cοrrect. The difference between twο temperatures cannοt be greater than the sum οf the twο temperatures. In this case, the difference Martin calculated is 94 degrees F, which is greater than the sum οf the twο temperatures (-12 degrees F + 82 degrees F = 70 degrees F). Therefοre, Martin must have made an errοr in his calculatiοn οr recοrded the temperatures incοrrectly.

The actual difference between the twο temperatures is:

82 degrees F - (-12 degrees F) = 94 degrees F

This cοnfirms that Martin must have recοrded οne οf the temperatures incοrrectly οr made a mistake in his calculatiοn.

To know more about Thermometer visit:

brainly.com/question/13421662

#SPJ1

graph the equation f(x)=4x-3

Answers

Answer:

Step-by-step explanation:

SEE THE GRAPH

Which of the following represent a linear inequality in open-sentence form? (Select all that apply.) 2x + 8 = 10y 2x - 7y > 10 8 + x > 5 3 < 5

Answers

The linear inequality in open-sentence form are

2x - 7y > 10 8 + x > 5

What are open sentences?

An open sentence is a mathematical statement that contains at least one blank or unknown and that becomes true or false when the blank is filled or a quantity is substituted for the unknown.

Now, since we have the expressions,

2x + 8 = 10y 2x - 7y > 10 8 + x > 5 and3 < 5

First, we note that there are 3 open sentences and only two of them are inequalities.

The 3 open sentences are

2x + 8 = 10y 2x - 7y > 10 8 + x > 5

The two inequalities are

2x - 7y > 10 8 + x > 5

So, the linear inequality in open-sentence form are

2x - 7y > 10 8 + x > 5

Learn more about open sentences here:

https://brainly.com/question/5956263

#SPJ1

PLEASE HELP ASAP!! i really really need it

Answers

Answer:

The number of hamburgers is 136.

Step-by-step explanation:

What we know:

We got cheeseburgers and hamburgers

The total: 408

The number of cheese burgers was 2 times the number of hamburgers

This is pretty much all the info we need to know.

Lets define our variables:

x = hamburgers

y = cheeseburgers

Now, we need our two equations to make a system.

[tex]x+y=408[/tex]

[tex]y=2x[/tex]

To find hamburgers, x, we plug the value of y into our first equation.

[tex]x+2x=408[/tex]

Add like terms

[tex]3x=408[/tex]

Divide by 3

[tex]x=136[/tex]

The number of hamburgers is 136.

Just to check our work, lets find the cheeseburgers.

[tex]y=2(136)[/tex]

[tex]y=272[/tex]

[tex]272+136=408[/tex]

A certain airline requires that rectangular packages carried on an airplane by passengers be such that the sum of the three dimensions is at most 270 centimeters. Find the dimensions of the​ square-ended rectangular package of greatest volume that meets this requirement.

Answers

The dimensions of the square-ended rectangular package of greatest volume that meets the airline's requirement are x = y = 90 cm and z = 90 cm.

What is dimensions?

Dimensions refer to measurements or quantities that describe the size, shape, or extent of an object or space, often expressed in length, width, and height.

Let x, y, and z represent the dimensions of the rectangular package. Since the package has square ends, we know that x = y.

We want to maximize the volume of the package, which is given by V = x² × z.

The airline requires that the sum of the three dimensions is at most 270 centimeters, so we have the constraint x + y + z ≤ 270.

Substituting x = y, we get 2x + z ≤ 270.

We can solve for z in terms of x: z ≤ 270 - 2x.

Substituting this inequality into the expression for V, we get V = x^2 * (270 - 2x) = 270x² - 2x³.

To maximize V, we take the derivative of V with respect to x, set it equal to zero, and solve for x:

dV/dx = 540x - 6x² = 0

6x(90 - x) = 0

x = 0 or x = 90

Since x represents a length, it must be positive, so x = 90.

Since x = y, y = 90 as well.

Substituting x = y = 90 into the inequality z ≤ 270 - 2x, we get z ≤ 270 - 2(90) = 90.

To know more about volume visit:

https://brainly.com/question/4678941

#SPJ1

You currently have $9,300 (Present Value) in an account that has an interest rate of 5% per year compounded annually (1 times per year). You want to withdraw all your money when it reaches $15,810 (Future Value). In how many years will you be able to withdraw all your money?

Answers

Answer:

heueuehehhrahfzngzjfsjtzjg

What is the total payment
required to pay off a promissory
note issued for $600.00 at 10%
ordinary interest and a 180-day
term?

Answers

Answer:

$630.00

Step-by-step explanation:

IF THIS IS WRONG I AM SORRY BUT I KNOW THIS IS RIGHT AND IF YOU NEED MORE ANSWERS I AM ALWAYS OPEN!

Differentiate in respect to yS(siny + y cosy)dy

Answers

Answer:

The derivative of yS(siny + ycosy)dy with respect to y is yS(cosy - ysiny) + S(siny + ycosy).

Explanation:

To differentiate the expression yS(siny + y cosy)dy, we need to apply the product rule of differentiation. The product rule states that for two functions u(x) and v(x), the derivative of their product is given by:

(d/dx)(u(x) v(x)) = u'(x) v(x) + u(x) v'(x)

Using this rule, we can differentiate the expression as follows:

Let u(y) = yS and v(y) = siny + ycosy. Then,

u'(y) = S (the derivative of yS with respect to y is S)

v'(y) = cosy + y(-siny) = cosy - ysiny (using the product rule again)

Using the product rule, we have:

(d/dy)(u(y) v(y)) = u'(y) v(y) + u(y) v'(y)
= yS (cosy - ysiny) + S(siny + ycosy)

Therefore, the derivative of yS(siny + ycosy)dy with respect to y is yS(cosy - ysiny) + S(siny + ycosy).

Need help with question

Answers

1.

To determine whether the given vectors are a basis for mathbb R^3, we need to check whether they span mathbb R^3 and whether they are linearly independent.

To check whether the vectors span mathbb R^3, we can form a matrix with the vectors as columns and row reduce it to see if we get a matrix in reduced row echelon form with three nonzero rows:

[1 3 -3]
[0 2 -5]
[-2 -4 1]

Row reducing this matrix, we get:

[1 0 0]
[0 1 0]
[0 0 1]

Since we have three nonzero rows, the vectors span mathbb R^3.

To check whether the vectors are linearly independent, we can set up the equation:

a[1] * [1] + a[2] * [3] + a[3] * [-3] = [0]
[0] [2] [-4] [0]
[-2] [-4] [1] [0]

where a[1], a[2], and a[3] are constants. We can solve this system of equations using row reduction:

[1 3 -3 0]
[0 2 -5 0]
[-2 -4 1 0]

R2 = R2 - R1 * 3/2
R3 = R3 + R1 * 2

[1 3 -3 0]
[0 2 -5 0]
[0 2 -5 0]

R3 = R3 - R2

[1 3 -3 0]
[0 2 -5 0]
[0 0 0 0]

Since we have a row of zeros, we can see that the vectors are linearly dependent.

Therefore, the given vectors do not form a basis for mathbb R^3.

2.

To find a basis for the nullspace of the given matrix, we need to solve the system of equations:

[1 0 -3 2][x1] [0]
[0 1 -5 4][x2] = [0]
[3 -2 1 -2][x3] [0]

We can set up the corresponding augmented matrix and row reduce it:

[1 0 -3 2 | 0]
[0 1 -5 4 | 0]
[3 -2 1 -2 | 0]

R3 = R3 - 3R1
R3 = R3 + 2R2

[1 0 -3 2 | 0]
[0 1 -5 4 | 0]
[0 -2 8 -2 | 0]

R3 = R3 + 2R2

[1 0 -3 2 | 0]
[0 1 -5 4 | 0]
[0 0 -2 6 | 0]

R3 = -R3/2

[1 0 -3 2 | 0]
[0 1 -5 4 | 0]
[0 0 1 -3 | 0]

R1 = R1 + 3R3
R2 = R2 + 5R3

[1 0 0 -7 | 0]
[0 1 0 11 | 0]
[0 0 1 -3 | 0]

Therefore, the solution to the system of equations is x1 = 7x4, x2 = -11x4, x3 = 3x4, where x4 is a free variable.

A basis for the nullspace of the matrix is the vector:

[7]
[-11]
[3]
[1]

3.

To find a basis for the space spanned by the given vectors, we can form a matrix with the vectors as columns and row reduce it to find the pivot columns. The vectors corresponding to the pivot columns will form a basis for the space spanned by the vectors.

[1 0 -3 2 0]
[0 1 2 -3 0]
[-3 -8 1 6 0]
[2 7 -8 9 0]

Row reducing this matrix, we get:

[1 0 0 1 0]
[0 1 0 2 0]
[0 0 1 -1 0]
[0 0 0 0 0]

The pivot columns are the first three columns, so a basis for the space spanned by the vectors is:

[[1], [0], [-3], [2]]
[[0], [1], [2], [-3]]
[[-3], [-8], [1], [6]]

4.

To find a linear dependence among the given polynomials, we need to find constants c1, c2, and c3, not all zero, such that:

c1 * p1(t) + c2 * p2(t) + c3 * p3(t) = 0

Substituting the given polynomials, we get:

c1 * (1 + t) + c2 * (1 - t) + c3 * 2 = 0

Simplifying, we get:

(c1 + c2) + t(c1 - c2) + 2c3 = 0

This equation must hold for all values of t. Therefore, we can equate the coefficients of t and the constant term to get a system of equations:

c1 - c2 = 0
2c3 = 0

From the second equation, we get c3 = 0, which means that c1 + c2 = 0 from the first equation. Therefore, we have a non-trivial linear dependence:

c1 * p1(t) + c2 * p2(t) = 0

Taking c1 = c2 = 1, we get:

p1(t) + p2(t) = 0

Therefore, a non-trivial linear dependence among the given polynomials is p1(t) + p2(t) = 0.

To find a basis for the span of these three polynomials, we can use the linearly independent polynomials as a basis. Since p1(t) and p2(t) are linearly independent, we can use them as a basis. Therefore, a basis for the span of the given polynomials is:

{1 + t, 1 - t}

Find all critical points for the function
4x + 6
x² + x + 1
on (-∞, ∞) and then list them (separated by commas) in the box below.
List of critical points:
f(x) =

Answers

Answer:  [tex]\frac{-3+\sqrt{7}}{2}, \ \frac{-3-\sqrt{7}}{2}[/tex]

========================================================

Explanation:

Let

g(x) = 4x+6h(x) = x^2+x+1

Each derivative is,

g ' (x) = 4h ' (x) = 2x+1

which will be useful in the next section.

--------------

[tex]f(\text{x}) = \frac{4\text{x}+6}{\text{x}^2+\text{x}+1} = \frac{g(\text{x})}{h(\text{x})}\\\\f(\text{x}) = \frac{g(\text{x})}{h(\text{x})}\\\\[/tex]

Apply the derivative with respect to x. We'll use the quotient rule.

[tex]f(\text{x}) = \frac{g(\text{x})}{h(\text{x})}\\\\\\f'(\text{x}) = \frac{g'(\text{x})h(\text{x})-g(\text{x})h'(\text{x})}{\big[h(\text{x})\big]^2}\\\\\\f'(\text{x}) = \frac{4(\text{x}^2+\text{x}+1)-(4\text{x}+6)(2\text{x}+1)}{(\text{x}^2+\text{x}+1)^2}\\\\[/tex]

The critical value(s) occur when either...

f ' (x) = 0f ' (x) doesn't exist, when x is in the domain of f(x)

The first criteria will be handled in the next section.

The second criteria is handled in the section after that.

-------------------------

f ' (x) is in the format A/B. It means f ' (x) = 0 leads to A/B = 0 and A = 0.

We set the numerator equal to zero and solve for x.

[tex]4(\text{x}^2+\text{x}+1)-(4\text{x}+6)(2\text{x}+1) = 0\\\\4(\text{x}^2+\text{x}+1)-(8\text{x}^2+16\text{x}+6) = 0\\\\4\text{x}^2+4\text{x}+4-8\text{x}^2-16\text{x}-6 = 0\\\\-4\text{x}^2-12\text{x}-2 = 0\\\\-2(2\text{x}^2+6\text{x}+1) = 0\\\\2\text{x}^2+6\text{x}+1 = 0\\\\[/tex]

From here we use the quadratic formula.

Plug in a = 2, b = 6, c = 1.

[tex]\text{x} = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{x} = \frac{-6\pm\sqrt{(6)^2-4(2)(1)}}{2(2)}\\\\\text{x} = \frac{-6\pm\sqrt{28}}{4}\\\\\text{x} = \frac{-6\pm2\sqrt{7}}{4}\\\\\text{x} = \frac{2(-3\pm\sqrt{7})}{4}\\\\\text{x} = \frac{-3\pm\sqrt{7}}{2}\\\\\text{x} = \frac{-3+\sqrt{7}}{2} \text{ or } \text{x} = \frac{-3-\sqrt{7}}{2}\\\\[/tex]

If x is equal to either of those values, then f ' (x) = 0 would be the case. Therefore, these are the critical points of f(x).

There may be other critical values. We'll still need to check the second criteria.

-------------------------

f ' (x) doesn't exist when we divide by zero.

Set the denominator equal to 0 and solve for x.

[tex](\text{x}^2+\text{x}+1)^2 = 0\\\\\text{x}^2+\text{x}+1 = 0\\\\[/tex]

Plug a = 1, b = 1, c = 1 into the quadratic formula.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-1\pm\sqrt{(1)^2-4(1)(1)}}{2(1)}\\\\x = \frac{-1\pm\sqrt{-3}}{2}\\\\[/tex]

We have a negative number as the discriminant, which leads to complex number solutions in the form a+bi where [tex]i = \sqrt{-1}[/tex]

Therefore, there aren't any real number values for x that lead [tex](\text{x}^2+\text{x}+1)^2[/tex] to be zero.

No matter what we pick for x, the expression [tex](\text{x}^2+\text{x}+1)^2[/tex] will never be zero.

In short, the second criteria yields no real value critical points (assuming your teacher is only focused on real-valued functions and not complex-valued functions).

-------------------------

Summary:

The first criteria f ' (x) = 0 led to [tex]\text{x} = \frac{-3+\sqrt{7}}{2} \text{ or } \text{x} = \frac{-3-\sqrt{7}}{2}[/tex] as the critical valuesThe second criteria, f ' (x) doesn't exist where x is in the domain of f(x), leads to no critical values (assuming your teacher is not focusing on complex-valued functions).

Therefore, the only critical values are [tex]\text{x} = \frac{-3+\sqrt{7}}{2} \text{ or } \text{x} = \frac{-3-\sqrt{7}}{2}[/tex]

-------------------------

Extra info:

A critical value is where a local/absolute min, a local/absolute max, or a saddle point would be at this x value. The 1st derivative test or 2nd derivative test would be used to determine the nature of each critical value.

A real world application of a critical value would be to determine the max revenue. Another example is to minimize the surface area while holding the volume constant. Linear regression relies on a similar concept.

To check the answer, you can type in "critical points of (4x+6)/(x^2+x+1)" without quotes into WolframAlpha.

Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62, 88, 90, 100, 96, 89, 98 Which statements are true? Check all that apply. The range of scores is 38. Without the outlier, the range of scores would be 12. The outlier impacts the range more than it impacts the interquartile range. The interquartile range is 9. The interquartile range is 4. Without the outlier, the interquartile range would be 9.5. Mark this and return Save and Exit Next 4655​

Answers

The interquartile range, according to the provided assertion, is 9.5.

The interquartile range is what?

The spread of your data's centre quarter is measured by the interquartile range (IQR). It is the limit for your sample's centre 50%. Assess the diversity where the majority of your numbers are by using the IQR. Larger numbers denote a wider distribution of your data's centre region.

The following statements are true:

The range of scores is 38.

The spread of results without the outlier would be 12.

The interquartile range is less affected by the anomaly than the range.

9 is the interquartile number.

The interquartile range would indeed be 9.5 if there were no anomaly.

To calculate the range, we subtract the smallest score from the largest score

Range = 100 - 62 = 38

If we remove the outlier, 62, then the range becomes:

without an anomaly= 100 - 88 = 12

The outlier has a greater impact on the range than on the interquartile range because the interquartile range only considers the middle 50% of the data, whereas the range considers all of the data.

To calculate the interquartile range, we need to find the values of the first and third quartiles. The median of a lower half of the data is represented by the first quartile (Q1), and the median of the higher half is represented by the third quartile (Q3).

Arranging the scores in ascending order:

62, 88, 89, 90, 92, 95, 96, 98, 100, 100

The median is the middle value, which is 93.

Q1 is the median of the lower half of the data, which is 62, 88, 89, 90, 92. The median of this set is (88 + 89) / 2 = 88.5.

Q3 is the median of the upper half of the data, which is 95, 96, 98, 100, 100. The median of this set is (98 + 100) / 2 = 99.

The disparity between Q3 and Q1 is the interquartile range (IQR):

IQR = Q3 - Q1 = 99 - 88.5 = 10.5 ≈ 9

If we remove the outlier, the scores become:

88, 89, 90, 92, 95, 96, 98, 100, 100

Q1 is the median of the lower half of the data, which is 88, 89, 90, 92. The median of this set is (89 + 90) / 2 = 89.5.

Q3 is the median of the upper half of the data, which is 95, 96, 98, 100, 100. The median of this set is (96 + 98) / 2 = 97.

The IQR is:

IQR = Q3 - Q1 = 97 - 89.5 = 7.5 ≈ 9.5

To know more about Interquartile range visit:

brainly.com/question/4102829

#SPJ9

Simplify to a single trig function with no fractions.

Answers

The simplified cos(t)/sec(t) to the trig function 1 - sin²(t), which is equivalent to cos²(t).

Recall that the secant function is defined as the reciprocal of the cosine function. In other words, sec(t) = 1/cos(t). Therefore, we can rewrite cos(t)/sec(t) as cos(t)/(1/cos(t)).

To simplify this expression, we can multiply both the numerator and the denominator by cos(t), which gives:

cos(t)/(1/cos(t)) = cos(t) * (cos(t)/1) = cos²(t)

Now, we have simplified cos(t)/sec(t) to cos²(t). Alternatively, we could have used the identity cos²(t) = 1 - sin²(t) to simplify the expression. This identity follows directly from the Pythagorean identity cos²(t) + sin²(t) = 1.

Starting with cos(t)/sec(t), we can substitute sec(t) = 1/cos(t) to get:

cos(t)/sec(t) = cos(t)/(1/cos(t)) = cos²(t)/1

Then, we can use the identity cos²(t) = 1 - sin²(t) to substitute cos²(t) in terms of sin(t):

cos(t)/sec(t) = cos²(t)/1 = (1 - sin²(t))/1 = 1 - sin²(t)

So, we have simplified cos(t)/sec(t) to the trig function 1 - sin²(t), which is equivalent to cos²(t).

To learn more about trig function please click on below link.

https://brainly.com/question/10765106

#SPJ1

f(x)=3x^2-7x-4 determine el valor de f(0)

Answers

The numeric value of f(x) = 3x² - 7x - 4 at x = 0 is given as follows:

f(0) = -4.

How to obtain the numeric value of a function or of an expression?

To obtain the numeric value of a function or of an expression, we substitute each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

f(x) = 3x² - 7x - 4

We want to find the numeric value of the function at x = 0, hence both instances of x in the definition of the function are replaced by zero and then we add the terms, as follows:

f(0) = 3(0)² - 7(0) - 4

f(0) = -4.

Learn more about the numeric values of a function at brainly.com/question/28367050

#SPJ1

Suppose that the local government of Tulsa decides to institute a tax on soda producers. Before the tax, 35,000 liters of soda were sold every week at a price of $11 per liter. After the tax, 30,000 liters of soda are sold every week; consumers pay $14 per liter, and producers receive $6 per liter (after paying the tax).
The amount of the tax on a liter of soda is
$
per liter. Of this amount, the burden that falls on consumers is
$
per liter, and the burden that falls on producers is
$
per liter.

Answers

To find the amount of the tax per liter of soda, we can use the information given in the problem:

- Before the tax, 35,000 liters of soda were sold every week at a price of $11 per liter.
- After the tax, 30,000 liters of soda are sold every week; consumers pay $14 per liter, and producers receive $6 per liter (after paying the tax).

The total revenue from soda sales before the tax was:

35,000 liters × $11/liter = $385,000 per week

The total revenue from soda sales after the tax is:

30,000 liters × $14/liter = $420,000 per week

The difference in revenue is due to the tax. Let's call the amount of the tax per liter of soda "t". Then we have:

(30,000 liters × $6/liter) + (30,000 liters × t/liter) = $420,000 per week

Simplifying and solving for t, we get:

t = ($420,000 per week - $180,000 per week) / 30,000 liters

t = $8 per liter

Therefore, the amount of the tax per liter of soda is $8.

To find the burden that falls on consumers and producers, we can use the price of soda before and after the tax. Before the tax, consumers paid $11 per liter and producers received $11 per liter. After the tax, consumers paid $14 per liter and producers received $6 per liter. The difference in price is due to the tax. Let's call the burden that falls on consumers "bc" and the burden that falls on producers "bp". Then we have:

bc + bp = $14 - $11

bc + bp = $3 per liter

And we know that:

bp = $11 - $6 = $5 per liter

Substituting this value into the previous equation, we get:

bc + $5 per liter = $3 per liter

bc = $3 per liter - $5 per liter

bc = -$2 per liter

Since the burden that falls on consumers is negative, we can say that the burden falls entirely on producers, who bear the full $3 per liter increase in price due to the tax.

Therefore, the burden that falls on consumers is $0 per liter, and the burden that falls on producers is $3 per liter.

Bridgette and her friends, Jill and Barb, are talking about how much money they earn. Bridgette makes $615 biweekly, Jill makes $670 semimonthly, and Barb makes $300 a week. Who earns the most?

Answers

Answer: Jill earns the most money.

Step-by-step explanation:

Bridgette:1230

Jill: 1340

Barb:300

Revise the suggested questionnaire so that it is more suitable. Include 5 reasons for taking a GAP YEAR. Submit a copy of a new revised questionnaire

Answers

The revised questionnaire that is more suitable that includes reasons for taking a GAP year is given below:

The Questionnaire

The new questionnaire includes four questions aimed at gaining insight into the participant's motivations, goals, and timeframe for taking a gap year:

Have you considered taking a gap year before starting your next academic or professional endeavor?

What are your top 5 reasons for considering a gap year? (Please list in order of importance)

What are your goals for your gap year? (e.g., travel, volunteer work, internships, personal development, etc.)

How long do you plan to take for your gap year?

Reasons for taking a gap year may vary from person to person, but here are five common motivations for doing so:

To gain life experience and personal growth

To travel and explore new cultures

To gain work experience or internships in a desired field

To take a break from academic or professional responsibilities

To pursue passions or hobbies that may not be feasible during a regular academic or work schedule.

Read more about questionnaires here:

https://brainly.com/question/15204986

#SPJ1

Revise the suggested questionnaire so that it is more suitable. Include 5 reasons for taking a GAP YEAR. Submit a copy of a new revised questionnaire

Have you considered taking a gap year before starting your next academic or professional endeavor?

What are your reasons for considering a gap year?

What are your goals for your gap year?

How long do you plan to take for your gap year?

Find a 5th degree polynomial with real coefficients that has zeros 0, -7i, and 2-i. show work

Answers

Answer:

f(x) = x^5 - 4x^4 + 54x^3 - 196x^2 + 245x.

Step-by-step explanation:

If a polynomial has a complex root, then its conjugate is also a root. Therefore, if 0 and -7i are zeros of the polynomial, then so are 7i and the conjugate of 2-i, which is 2+i.

The factors of the polynomial are then:

(x-0)(x-7i)(x+7i)(x-(2-i))(x-(2+i))

Simplifying the factors, we get:

x(x^2+49)(x^2-4x+5)

Expanding the last factor, we get:

x^5 - 4x^4 + 5x^3 + 49x^3 - 196x^2 + 245x

Finally, we have the 5th degree polynomial:

f(x) = x^5 - 4x^4 + 54x^3 - 196x^2 + 245x

Therefore, the polynomial with zeros 0, -7i, and 2-i and 5th degree with real coefficients is f(x) = x^5 - 4x^4 + 54x^3 - 196x^2 + 245x.

The solution is, f(x) = x^5 - 4x^4 + 54x^3 - 196x^2 + 245x, is  a 5th degree polynomial with real coefficients that has zeros 0, -7i, and 2-i.

What are Polynomials?

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here, we have,

If a polynomial has a complex root, then its conjugate is also a root. Therefore, if 0 and -7i are zeros of the polynomial, then so are 7i and the conjugate of 2-i, which is 2+i.

The factors of the polynomial are then:

(x-0)(x-7i)(x+7i)(x-(2-i))(x-(2+i))

Simplifying the factors, we get:

x(x^2+49)(x^2-4x+5)

Expanding the last factor, we get:

x^5 - 4x^4 + 5x^3 + 49x^3 - 196x^2 + 245x

Finally, we have the 5th degree polynomial:

f(x) = x^5 - 4x^4 + 54x^3 - 196x^2 + 245x

Therefore, the polynomial with zeros 0, -7i, and 2-i and 5th degree with real coefficients is f(x) = x^5 - 4x^4 + 54x^3 - 196x^2 + 245x.

Know more about Polynomials here:

brainly.com/question/2833285

#SPJ2

The equation, A=P(1+0.045/12)^12t
represents the amount of money earned on a compound interest savings account with an annual interest rate of 4.5% compounded monthly. if after 20
years the amount in the account is $18,539.38, what is the value of the principal investment? Round the answer to the nearest hundredths place.

$6,872.98
$7,550.25
$10,989.13
$17,202.73

Answers

Therefοre , the sοlutiοn οf the given prοblem οf amοunt cοmes οut tο be Optiοn B ($7,550.25) is the cοrrect chοice.

What is an amοunt?

Aggregate attempting tο calculate the duratiοn, tοtal cοst, οr quantity. The quantity that is in frοnt οf οurself οr οn yοur mind is extremely busy. the result, its impοrtance, οr its relevance. Principal, interest, and third bοοkkeeping make up the tοtal. Amοunted, amοunts, and amοunting are sοme οf the wοrd variants. flexible term Its quantity refers tο hοw much that anything is.

Here,

The cοmpοund interest expressiοn is as fοllοws:

=> [tex]A = P(1 + r/n)^{(nt)[/tex]

Here are the facts:

=> A = $18,539.38 (the sum after 20 years) (the amοunt after 20 years)

The yearly interest rate, which is 4.5 percent, is r = 0.045.

n = 12 (the interest is cοmpοunded mοnthly, sο there are 12 cοmpοunding times per year) (the interest is cοmpοunded mοnthly, sο there are 12 cοmpοunding periοds per year)

t = 20 (the periοd in years) (the time in years)

By rearranging the sοlutiοn, we can find P:

=>[tex]A = P(1 + r/n)^{(nt)[/tex]

Adding the numbers we are familiar with

=>[tex]P = \$18,539.38 / (1 + 0.045/12)^{(12*20)[/tex]

=> P ≈ $7,550.25

Cοnsequently, the initial investment is wοrth rοughly $7,550.25. The number is $7,550.25, rοunded tο the nearest hundredth.

Optiοn B ($7,550.25) is the cοrrect chοice.

To know more about amount visit :-

brainly.com/question/8082054

#SPJ1

Consider the following function.

h(x)=(x−4)2−1
Step 3 of 4 : Find two points on the graph of the parabola other than the vertex and x-intercepts.

Answers

Two points on the graph of the parabola h(x) = (x-4)^2 - 1 other than the vertex and x-intercepts are (1, 8) and (6, 3).

How to determine the points on the function

To find two points on the graph of the parabola other than the vertex and x-intercepts

We can simply choose two values of x and find their corresponding y values using the function h(x).

Let's choose x = 1:

h(1) = (1-4)^2 - 1 = 9 - 1 = 8

So one point on the graph is (1, 8).

Now let's choose x = 6:

h(6) = (6-4)^2 - 1 = 4 - 1 = 3

So another point on the graph is (6, 3).

Hence, the two points are (1, 8) and (6, 3)

Read more about quadratic function at

https://brainly.com/question/24334139

#SPJ1

Weights of female cats of a certain breed are normally distributed with mean 4.1 kg and standard deviation 0.6 kg.

Six female cats are chosen at random. What is the probability that exactly one of them weights more than 4.5 kg.

(I did the first part to this question already, the probability that one chosen at random will weigh more than 4.5 kg is 0.2514.)

Answers

The prοbabiIity that exactIy οne οf the six chοsen femaIe cats weighs mοre than 4.5 kg is apprοximateIy 0.2834 οr 28.34%.

The binοmiaI distributiοn fοrmuIa:    

The binοmiaI distributiοn fοrmuIa gives the prοbabiIity οf οbtaining exactIy k successes in n independent BernοuIIi triaIs, where each triaI has a prοbabiIity οf success p.

The formuIa is:

[tex]P(X = k) = ^{n}C_{k} P^{k} \times(1-P)^{n-k}[/tex]

Here we have

Weights οf female cats οf a certain breed are nοrmally distributed with a mean οf 4.1 kg and a standard deviatiοn οf 0.6 kg.

The prοbability that οne chοsen at randοm will weigh mοre than 4.5 kg is 0.2514.

Tο find the prοbability that exactly οne οf the six chοsen female cats weighs mοre than 4.5 kg, we can use the binοmial distributiοn with parameters

Using the binοmial distributiοn fοrmula  

[tex]P(X = k) = ^{n}C_{k} P^{k} \times(1-P)^{n-k}[/tex]

where:

n = 6 and p = 0.2514,  

The probabiity of exacty one success in six trias can be cacuated as

P(X = 1) = (6 choose 1) × 0.2514¹ × (1 - 0.2514)⁵

P(X = 1) = 6 × 0.2514 ×  0.7486⁵

P(X = 1) = 0.2834

Therefore,  The probabIIty that exacty one of the sIx chosen femae cats weIghs more than 4.5 kg Is approxImatey 0.2834 or 28.34%.

Learn more about Binomial distribution at  

https://brainly.com/question/30889771

#SPJ1

Please help and show a method, I have no idea how to do this :/

Answers

Answer:

30.4 meters

Step-by-step explanation:

Just plug in the given values of
V = 24.4 and

g = 9.8

in the given equation and you can solve for H

[tex]H = \dfrac{V^2}{2g}\\\\= \dfrac{(24.4)^2}{2\times 9.8}\\\\= 30.37551 \dots\\\\= 30.4\\\\[/tex]correct to 3 significant figures

i need help pleaseee ​

Answers

The dataset is evenly distributed, so the appropriate measure of variability is the range

The dataset is evenly has no outliers, so the appropriate measure of center is the mean

How to determine the appropriate measures

Measure of variability

When the data set is evenly distributed, a measure of variability appropriate for stem and leaf plot would be the range

The range is simply the difference between the largest and smallest value in the data set.

It is a simple measure of spread that can be easily calculated from a stem and leaf plot.

Measure of center

When there are no outliers in a dataset, the appropriate measure of center to use in a stem and leaf plot is the mean

The mean, also known as the average, is calculated by summing all the values in the dataset and then dividing by the total number of values.

Read more about stem and leaf plots at

https://brainly.com/question/8649311

#SPJ1

Other Questions
If the exponential model f(x)=8(9)x is written with the base e, it will take the form A0ekx. What is A0 and what is k? Note: This is actually supposed to be in psychics.(Best Answer Gets Brainliest And Also NO ASKING FOR BRAINLIEST I will give it to the best answer Okay?) Imagine that you ran some jeans through a dryer and they became positively charged. How would you draw field lines around the jeans? Challenge) Solve for a. Answer as a mixed number. A=______ What is the length of the hypotenuse?8ft 6ft c=? What does a decrease in salmon population due to an increase in river temperature indicate? 15. The expression x is equivalent to 14i3. What is the value of x?a.-588b. -588ic.588d. 588i16. An expression is shown below.x^5 + 6x^3 +8xWhich value of x makes the expression equal to 0?a. -2ib. -2ic. 4id. 4i simplify: 12+2 34-38 it may seem strange that the selected velocity does not depend on either the mass or the charge of the particle. (for example, would the velocity of a neutral particle be selected by passage through this device?) the explanation of this is that the mass and the charge control the resolution of the device--particles with the wrong velocity will be accelerated away from the straight line and will not pass through the exit slit. if the acceleration depends strongly on the velocity, then particles with just slightly wrong velocities will feel a substantial transverse acceleration and will not exit the selector. because the acceleration depends on the mass and charge, these influence the sharpness (resolution) of the transmitted particles. Wave heights at Folly Beach are normally distributed with a mean of 4 feet and a standard deviation of 1.5 feet. What is the probability that a wave has a height of exactly 3 feet? True or false a rare faction is the area of a sound wave where particles are less dense 2. Consider an organism that has two pairs of homologous chromosomes in each of its diploid (2n) somatic cells. How many chromosomes would the organisms cell have during each of the following stages? saralee and wally are both sent to training to learn a new data entry system. saralee is provided access to a computer-based training environment that duplicates the system she will be working in on the job. wally, however, sits through a lecture and is shown screen shots of an older version of the system in a slide presentation. when they return to the job after training, saralee has an easier time accessing and performing in the live system than wally does. based on the information in this scenario, why is that? group of answer choices saralee has a more adaptable personality than wally. saralee has stronger cognitive abilities than wally. saralee was trained with more identical elements than wally. saralee works in a more supportive climate than wally. During several major events in the life of Frederick Douglass, he chooses to focus on whether they make him feel like a man. Compare and contrast the two incidents below. What do these incidents tell us about Douglass? In pages 43-52, Douglass describes how he came to be at Edward Coveys farm, and the fight between the two men (ending on p. 52, where he discusses manliness). Later, Douglass meets President Lincoln on p. 141 (when Douglass was the first black man received in the White House as an official guest) and again focuses on his feelings as a man. Fill in the gaps below:a. from A to Bb. from B to Cc. from A to C Grammar checkWhat is the adverb and the plural noun in the sentence below? Scientists study the virus closely because it is deadly. NEED HELP ASAP. SEE IMAGE BELOW. BRAINLIEST + 100PTS!!matching!! someone help me asap 2 + 3x = 12 - 5xWhy I am having so much trouble with this? How many moles of magnesium hydroxide, used to treat heartburn and indigestion, ismanufactured from the reaction of 2.55 moles of magnesium oxide and excess water? Are there particular evaluation approaches and methodologiesthat you consider may be appropriate for the envisaged evaluationactivities?