Is it possible for a fifth degree polynomial function with
integer coefficients to have no real zeroes?

Answer:

I will cryy because I only want to write 78 why it recorded as 98

9514 1404 393

Answer:

  f(x) = -3/2x +5

Step-by-step explanation:

The differences between the x-values are all 2.

The differences between the y-values are all -3.

When the ratios of the differences are constant, the function is linear. The slope is ...

  m = Δy/Δx = -3/2

The y-intercept is given by the table value where x=0: b=5.

Then the slope-intercept equation is ...

  f(x) = mx +b

  f(x) = -3/2x +5

Answer:

y = mx + c ......( general form)

y = -1/5X - 3

Answer:

10 times for each number

Step-by-step explanation:

:)

Answer:

10

Step-by-step explanation:

if the dice is fair, the sides will land one time every 8, so if its rolled 80 time, and it was equal 10 would be your answer.

Use the Chain Rule:

[tex]\frac{d}{dx} [f(g(x))] = f'(g(x)) * g'(x)[/tex]

Given Information:

[tex]f(x) = x^5\\ g(x) = \frac{cos(x)}{1} +sin(x)\\ f(g(x)) = ( \frac{cos(x)}{1} +sin(x))^5\\ \\ f'(x)=5x^4\\ g'(x)=\frac{-sin(x)}{1} + cos(x)\\f'(g(x))*g'(x)=5(\frac{cosx)}{1} + sin(x))^4*(\frac{-sin(x)}{1} + cos(x))[/tex]

The answer is:

[tex]5(\frac{cosx)}{1} + sin(x))^4*(\frac{-sin(x)}{1} + cos(x))[/tex]

Answer:

18000

Step-by-step explanation:

you multiply 12 by 300 which is 3600 then you would multiply by 5 and its 18000.

Answer:

12

Step-by-step explanation:

20% is 20/100 = 0.2

60% is 60/100 = 0.6

So 20% of 60%= 0.2*0.6=0.12

0.12 in % = 0.12*100 = 12%

Yes i know… Math sucks

Anyways have a great day and if its correct please give brainliest

Stay Safe And Healthy

Thank you

Answer:

5 tickets

Step-by-step explanation:

Each ticket costs $224 including the travel insurance and they are charged $22 regardless of the number of tickets they buy.

Therefore, the equation is 224x + 22 = 1142

First, you have to subtract the 22 from both sides to amount to 224x = 1120

Now, you divide 224 from 1120 to get 5

The family bought 5 tickets.

ATQ

[tex]\\ \tt\longmapsto 2(x+6x)=1190[/tex]

[tex]\\ \tt\longmapsto 2(7x)=1190[/tex]

[tex]\\ \tt\longmapsto 7x=595[/tex]

[tex]\\ \tt\longmapsto x=595/7[/tex]

[tex]\\ \tt\longmapsto x=85[/tex]

Answer:

[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex] or [tex]x = 2[/tex]

Or:

[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex] or [tex]x = \frac{4}{5}[/tex]

Step-by-step explanation:

Step 1 - Simplify by expanding the brackets:

[tex](5x - 7)^2\\(5x - 7)(5x - 7)\\25x^2 - 35x - 35x + 49\\25x^2 - 70x + 49 - 1\\25x^2 - 70x + 48 = 8[/tex]

Step 2 - Subtract 8 from both sides so the equation equals 0:

[tex]25x^2 - 70x + 48 - 8 = 8 - 8\\25x^2 - 70x + 40 = 0[/tex]

Step 3 - Use the quadratic formula:

[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\a = 25\\b = -70\\c = 40[/tex]

Plug variables in:

[tex]\frac{-(-70) +- \sqrt{(-70)^2 - (4 * 25 * 40)} }{2 * 25}[/tex]

[tex]\frac{70 +- \sqrt{4900 - 4000} }{50}\\\\\frac{70 +- \sqrt{900} }{50}\\[/tex]

So x is either:

[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex]

[tex]x = 2[/tex]

Or:

[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex]

[tex]x = \frac{4}{5}[/tex]

Hope this helps!

Answer:

178

Step-by-step explanation:

All right!!

Line l is parellel to line m.

So if r is 91 then we can infer that s helps it make a 180 degree angle/straight line.

So 180 - 91 = 89

s = 89

If the two lines are parallel then s = u because of inner angles/outer angles stuff.

If s=u then u = 89 as well.

And because of vertical angles, t =u so t = 89.

Now the question asks to find t + u, so t + u = 89 + 89 = 178

Hope that helps!!

Step-by-step explanation:

4w(-6w)

= (4*6)(w.-w)

= 24 * -w²

= -24w²

Answer:

Step-by-step explanation:

Needs a picture to be solved, please put one.

Answer:

i know

Step-by-step explanation:

I know have a amazing day

Answer:

The answer is A

Step-by-step explanation:

0.2% of 500 is 1 so in two year she would have 502$

Answer:

They are not.

Step-by-step explanation:

Let's first calculate the vectors joining the first point to the second and the first to the third, they will be useful later.

[tex]\vec v_1_2 = \vec P_2 -\vec P_1 = <3; -7; -7>\\\vec v_1_3= \vec P_2 -\vec P_1 = <6; -14; -13>[/tex]

At this point we have at least three options:

Write down the line between P1 and P2 in vector form, and then see if we can fit the third point in there.

Calculate the cross product between the two, if it's non-zero the three point are not in a line.

Try to determine the plane passing for the 3 points: if we find one they are not in a line.

Option 1:

The vector form of the lne between the firs two points is [tex]<6+3t;9-7t;7-7t>[/tex]. Let's check the coordinates of the third point:

[tex]x_3:\ 6+3t= 12 \rightarrow t=2\\y_3:\ 9-7t = -5 \rightarrow t =2\\7z_3:\ 7-7t=-6 \rightarrow t = 13/7\ne 2[/tex]

So the three points are not in a line.

Option 2:

Let's calculate the cross product of the two vectors we found at the beginning.

[tex]\vec v_1_2 \times \vec v_1_3 = det \left[\begin{array}{ccc}\hat i&\hat j&\hat k\\3&-7&-7\\6&-14&-13\end{array}\right] = \hat i [-7(-13)-(-14)(-7)] - \hat j[3(-13)-6(-7)]+\hat k [3(-14)-6(-7)] = 7\hat i -3 \hat j + 0 \hat k \ne 0[/tex]

Since the result is not the null vector, the three points are not in a line.

Option 3:

Let's write the plane (in the [tex]z= ax+by+c[/tex] form that contain the three points. If the thre points are in a line, means that we can find only two of these parameters.

[tex]P1: 7= 6a+9b+c\\P2: 0= 9a+6b+c\\P3: -6= 12a-5b +c[/tex]

Since you can determine a, b and c ( I ended up with [tex]a=-\frac {10}3; b=-\frac18; c= \frac{123}8[/tex] but I probably messed something in there) the thre points are not in a line

Answer:

Drayven has more

Step-by-step explanation:

If you look at the fractions through a drawing you would see that my claim is correct.

Answer:

13

Explanation-

It is 13 because it is the only one out of all of them that makes sense.

For the ²⁰ P ₉ the required number of choices are 6.0949324 x 10¹⁰.

Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,

In the given question,

In ²⁰ P ₉, the number of choices are to be found.

To find the choices,

Expand ²⁰ P ₉ by using a formula,

[tex]\rm ^nP_r = n!/(n-r)![/tex]

The number of choices

= 20!/ (20 -9)!

= 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11!/ 11!

= 6.0949324 x 10¹⁰

The required number of choices are 6.0949324 x 10¹⁰.

To know more about Permutation and Combination on:

https://brainly.com/question/13387529

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The complete question is given below.

Answer:

A, C, D

Step-by-step explanation:

All of the plot curves contain (0, -8) and (-2, 0)

B doe NOT contain (-3, 4), though the plot lines seem kind of fuzzy and other curves may miss, but not by much.

Answer:

Graph A , B, and D

Step by-step explanation:

All the points are one these three graphs.

Option D

step by step explanation:

[tex] \sf f(x) = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{y + 10} \\ \sf y = {x}^{3} - 10 \\ \sf {f}^{ - 1} (x) = {x}^{3} - 10[/tex]

The inverse of the given function is represented as f' ( x ) = x³ - 10

A function is a mathematical object that takes an input (or several inputs) and produces an output. The rule of a function describes how the input is transformed to produce the output. It can be written using mathematical notation, words, or a combination of both.

Functions are used in many areas of mathematics, science, engineering, and other fields to model relationships between variables, make predictions, and solve problems.

Given data ,

Let the function be represented as A

Now , the value of A is

Now , the function is depicted as f ( x ) = ∛( x + 10 )    

Simplifying results in

The function's inverse is obtained by swapping the x and y variables.

So ,

y = ∛( x + 10 )

x = ∛( y + 10 )

On solving for y , we get

y = x³ - 10

And , the inverse is f' ( x ) = x³ - 10

The function is therefore f' (x) = x³ - 10.

Go here to read more about the function rule.

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only figure 1 and figure 3 are similar.

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

In figure 1, two of the sides (16 and 9 ) are perfect square and third is not.

If we take the ratio of three side as

16:9:12

(4)²:(3)²:(2√3)²

Similarly, In figure 3 two of the sides (64 and 36 ) are perfect square and third is not.

If we take the ratio of three side as

64:36:48

(8)²:(6)²:(4√3)²

Comparing the ratios of both figure, the figure 3  has twice the measurement of figure 1 sides.

Hence, only figure 1 and 3 are similar.

Learn more about this concept here:

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Answer:

Yes.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

The correct answer is "Option A".

Step-by-step explanation:

Hope this helps :)

Answer:

30 dinner rolls

Step-by-step explanation:

There are 5 dinner rolls per basket and there are 6 baskets

So there are 6 groups of 5:

5 + 5 + 5 + 5 + 5 + 5

In other words, multiply 5 and 6

5 dinner rolls x 6 = 30 dinner rolls

Answer:

AB, CD

Step-by-step explanation:

there is ⊥ 90° angle sign between them AB and CD.

They are perpendicular

7. The zeros of the quadratic function described by the graph below is

1

A. 2,1

B. -2,1

C. 2,-1

D. -2,-1

Answer:

They are equal, so =

Step-by-step explanation:

We know that one-half is .50.  3/2 is an improper fraction and when we solve to a decimal, we get 1.5.