All categories

3 years ago

What is the average value of the function f(x) = x^3 - 2x + 5 on [ -2,2]?

1 answer:

5 0

Average value = (value of fx) at x = 2 minus value of f(x) at x = - 2) / (2 -(-2))(
= [[2^3 - 2(2) + 5] - [ -2^3 - 2(-2) + 5] ] / 4

= ( 9 - 1) / 4 = 2

You might be interested in

Solve the equation and graph the solution(s), if possible. 9|4p + 2| + 8 = 35

Cerrena [4.2K]

Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation. A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. Whatever we do to one side, has to be done on the opposite side.

$9|4p + 2| + 8 = 35$

$
9|4p+2|=35-8
 
$ $Subtract \ 8 \ from \ both \ sides$

$9|4p+2|=27

 
$

$|4p+2|= \dfrac{27}{9}$ $Divide \ both \ sides \ by \ 9$

$|4p+2|=3$

$Break \ down \ the \ problem \ into \ these \ 2 \ equations$

$
4p+2=3
 
$

$-(4p+2)=3$

$Solve \ the \ 1st \ equation: \ 4p+2=3$

$4p=3-2$ $Subtract \ 2 \ from \ both \ sides$

$4p=1$

$p= \dfrac{1}{4}$ $Divide \ both \ sides \ by \ 4$

$Solve \ the \ 2nd \ equation: \ -(4p+2)=3$

$-4p−2=3$ $Simplify \ brackets$

$-4p=3+2$ $Add \ 2 \ to \ both \ sides$

$-4p=5$

$p= -\dfrac{5}{4}$

$Collect \ all \ solutions$

$p= -\dfrac{5}{4}$ , $p= \dfrac{1}{4}$

8 0

3 years ago

The ___ of the ___ angle of an isosceles triangle is also the what of the base

kvv77 [185]

Maybe . the sum of the interior angle of an iscosoles triangle is also... idk but 2 sides of an iscosoles triangle are equal and the part that's not is the base

4 0

4 years ago

What are the factors of X squared -100?

SVEN [57.7K]

Answer:

mmmmmmmkk

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Susan tossed a die 630 times. Which of the following would be a good estimate of the number of times she got the number 3 on the

Anit [1.1K]

Assuming the die had 6 sides, there would be a 1/6 chance of getting the number 3.

630 / 6 = the theoretical amount of times you should get any number on the dice
630 / 6 = 105

105 is closest to B. The answer is B.

Please make my answer the brainliest if I was helpful

5 0

3 years ago

The line plot below shows the distances of discus throws in a contest.

Scrat [10]

I think is 40 meters

6 0

3 years ago