(X-5)(X+6)
Expand and simplify

Answer:

#1) 3/2 #2) 13/10 #3) 1/3 #4) 49/15

Step-by-step explanation:

This may not be right because I don't know if you wanted the answers in fractions or not, but I tried. There's too much work to show. Sorry.

Answer:

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(x) = 57/84

The inverse function is used to find the angle.

  x = arccos(57/84)

  x ≈ 47.27°

__

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(x) = 53/76

The inverse function is used to find the angle.

  x = arcsin(53/76)

  x ≈ 44.22°

Answer:

-10

Step-by-step explanation:

The rate of change is also known as the slope of the function thus the slope will be -600.

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.

As per the given,

Bacteria are dying at a constant rate of $600$ an hour.

The rate of change = -600/hour

Slope = y/x = number of bacteria change/time taken

If the graph is a straight line then it will remain constant.

Slope = -600

Hence "The rate of change is also known as the slope of the function thus the slope will be -600".

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Answer:

[tex]m[/tex]

Step-by-step explanation:

Combine like terms

[tex]-3m+(-2x)+4m+2x[/tex]

[tex](-3m+4m)+(-2x+2x)[/tex]

[tex](1m)+(0)[/tex]

[tex]m[/tex]

Answer:

m

Step-by-step explanation:

Simplify like-terms first:

-3m + (-2x) + 4m + 2x

m + (-2x) + 2x

Both x's cancel each other out, so you're left with:

m

Answer:

y=x+6.

Step-by-step explanation:

the slope-interception form is: y=s*x+i, where s - slope, i - interception.

according to the data in the graph i=6, s=1, then finally,

y=x+6.

Answer:14.48

sorry if it is wrong.

Step-by-step explanation:0.25*57.90=14.475

Answer:

Step-by-step explanation:

-24 x 4 = -96

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

slope m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y2 - y1}{x2-x1}[/tex]= [tex]\frac{4-(-1)}{2-0} = \frac{5}{2}[/tex]

Answer:

18.33

Step-by-step explanation:

its easy divide 275 ÷ 15 = [18.33]333333333333 the only number you need is [18.33]333333333333

and boom that simple you get your answer

Answer:

It rises -4 and runs 6

Step-by-step explanation:

So the slope is -4/6

Answer:

8, -8

Step-by-step explanation:

  Let's say that x is the larger number,

x - y = 16

y = x - 16

xy = P  where P is a minimum  

x(x-16) = P.  

(We can find the vertex, which is the minimum, by writing it in vertex format)  

  Completing square:  

x2 - 16x = P  

x2 - 16x + 64 = P + 64  

(x - 8)2 = P + 64.

 So,

x = 8 and -8

(8 - -8 -> 8 + 8 = 16)

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

14 dollars off the original price

Step-by-step explanation:

Answer:

(x-7)(x^2-5)

Step-by-step explanation:

Answer is A

No; there is no constant change in x that corresponds to a constant change in y.

Luoa is not easy , I know that for a fact.

The slope of the line is not constant hence it does no satisfies the condition of a straight line therefore non-linear.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x,y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given a set of ordered pairs {(1, 2), (4, 10), (7, 17), (10, 22)}.

The first pair is y = 2x.

The second pair is 4y = 10x ⇒ y = (10/4)x ⇒ y = (5/2)x.

So, we can conclude that the slope of the line is not constant hence it does no satisfies the condition of a straight line therefore non-linear.

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Answer:

Sofia at 13.5 seconds

Step-by-step explanation:

These numbers aren't easily compared since they don't have the same number of digits.  Sofia's time of 13.5 seconds is less than that of the other two times, 13.524 and 13.51 seconds, but the lack of a zero after the 5 in Sofia's time is concerning.  If the other times were measured toi within a hundredth of a second, why not Sofia's time also?  Perhps her true time was 13.56 seconds, but the 0.05 was dropped.  She would be slower than the other two.  But, in the absence of helpful information, the only thing that can be said is that Sofia's time is reported to be less than either Jen and Ali.

Answer:

the first step would be to combine the x's

Step-by-step explanation:

1.) combine x (12=7+2x)

2.) subtract 7 from both sides of the equation (5=2x)

3.) divide by 2 to allow x to be by its self (5/2=x)

Answer:

3.5

Step-by-step explanation:

Answer:

50,000

Step-by-step explanation:

THE ANSWER IS 50,000

Answer:

a,c

Step-by-step explanation:

You would get $12 in the certificate of deposit, and

a. 12

b. 13.5

c. 12

d. 8

e. 24

so, a and c

Hope this helps!

Let me know if it does and if the answer is right

Interest earned in options $400 at 3% for 1 year, $400 at 3% for 1 year
and $50 at 48% for 6 months has the same interest earned by, as $150 earn 4% annual interest for 2 years.

As mentioned in the question, A certificate of deposit with a principal of $150 earns 4% annual interest for 2 years.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

here,
1. $300 at 2% for 2 years

Simple Interest = principal × rate × time / 100
Simple interest = 300 × 2 /100 × 2
Simple interest = $12

Similarly, interest earned by other options is given as,
2. $13.5
3. $12
4. $8
5. $12

Thus, Options A, C, and E are correct.

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1

Step-by-step explanation:

Answer:

114

Step-by-step explanation:

3.2 x 5 cause of the weekdays and 1.5 x 2 cause of the weekends. so then you have 16 and 3. Then you x's it soo 16x6 weeks and 3x6 weeks which equals 96 and 18 then you add thos together.

Answer:

-5

Step-by-step explanation:

g(x)= 3x+1

g(-2)

g(-2)= 3x+1

g(-2)= 3(-2)+1= -5

Answer:

-3

Step-by-step explanation:

slope formula is y2-y1 over x2-x1

if we plug in the values and solve, that gets you -3.

Answer:

-3

Explanation:

1-(-2) divided by 3-4

Answer:

m = √n/3 -k

Step-by-step explanation:

√n = 3(k + m)

=> √n/3 = k + m

∴ m = √n/3 -k

Hope this helps!!

Answer:

Step-by-step explanation: Y=6 is 36 if u subtract from 6 and add 20 plus 7

Answer:

y = 2x-1

Step-by-step explanation:

I'm guessing gradient of 2 means slope of 2

if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation

slope-intercept (y=mx+b)

m is the slope and b is the y-intercept (which we are trying to find)

so far, we have a point and a slope so we can fill in x,y, and m

(3) = (2)(2) + b

3 = 4 + b

3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)

-1 = b

we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation

y = 2x - 1

Answer:

Isosceles triangle. An Isosceles triangle is a triangle that has 2 equal sides and 2 equal angles

Step-by-step explanation: