Given the function h(x)=-x^2+4x+12, determine the average rate of change of the function over the interval −2≤x≤4.

Answers

Answer 1

Answer:

2

Step-by-step explanation:

The average rate of change of h(x) in the closed interval [ a, b ] is

[tex]\frac{f(b) - f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 2, 4 ] , then

f(b) = f(4) = - (4)² + 4(4) + 12 = - 16 + 16 + 12 = 12

f(a) = f(- 2) = - (- 2)² + 4(- 2) + 12 = - 4 - 8 + 12 = 0

Then

average rate of change = [tex]\frac{12-0}{4-(-2)}[/tex] = [tex]\frac{12}{6}[/tex] = 2


Related Questions

Carla packed this box with 1-centimeter cubes. what is the volume of the box?

Answers

Answer: 60 cm three squared

You can observe in the picture attached that the box is a rectangular prism.

The volume of a rectangular prism can be found with this formula:

Where "l" is the length, "w" is the width and "h" is the height.

You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:

Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:

Finally, evaluating, you get that the volume of the box is:

223 units

Step-by-step explanation:

https://brainly.com/question/14536184

Factor completely.
2x^2 -40x +200=

Answers

factored: 2(x-10)^2
hope it helps

Answer:

2(x-10) exponet 2

Step-by-step explanation:

I dont really wanna do a explantion cuz its kida confusiong

buyer x books for P1.50 total cost is P6.00​

Answers

Answer:

Not 2 sure but i think its 7.50

Step-by-step explanation:

Answer: x books = 4

Step-by-step explanation:

6.00 / 1.50 = 4

8. Write an equation of the line that passes through (-2, 3) and is parallel to the line y = 2x - 1. ​

Answers

Answer:

y=2x+7

Step-by-step explanation:

Find the slope and write the equation to it and explain.
Pick one as your answer
A. Slope=1/2 with the equation y=0.5x
B. Slope=1 with the equation y=x
C. Slope=9 with the equation y=9x
D. Slope=10 with the equation y=10x​

Answers

B is your correct answer

use the equation
p = 2h + 11 to find p when h = 11

write your answer in mathematical expression

Answers

Answer:

24

Step-by-step explanation:

h=11

2*11=22

22+11=33

I need help plz plz

Answers

It would be 35 I think unless that a different assignment I did

11. Use this picture to find the value of x
66°
Х
Find the value of X. *



Please help!!!

Answers

Answer:x = 24°

Hope this will help you.

Answer:

x = 24°

Step-by-step explanation:

66° and x form a right angle , then

x + 66° = 90° ( subtract 66° from both sides )

x = 24°

I need help please thank you its for math!!!

Answers

the value of the pom pom sales is $547 in total
The value of it is $547

What is the equation for the input-output table shown below?
Just the numbers 2 and 3 please

Answers

Answer:

for number 2 it's A for number 3 it's D

Step-by-step explanation:

Check with desmos it'll make it a lot easier type in the question then the little screw and the first option should be a graph chart

ayuda porfavor es urgenteeeee

Answers

Answer:

Lo siento, no sé la respuesta a esas preguntas.

Please help me with this

Answers

Answer:

X=90-66

X=24 is the answer

Ygvhgvhgvhhvhhbhgvrx

Answers

Answer and Step-by-step explanation:

[tex]6^{21}[/tex] is the answer.

3 times 7 is 21.

When exponents are being raised by an exponent, they will multiply together, so 7 being raised by the 3 will become 21, thus making the expression be 6 to the power of 21.

#teamtrees #WAP (Water And Plant)

(3,2), y = x + 5 in slope intercept form

Answers

Answer:

Hows it going young blood Y=5x-13 is the answer

Step-by-step explanation:

just reply for me please​

Answers

Answer:

how is life

Step-by-step explanation:

The number 1000 has how many factors of 10

Answers

Answer:

10³ = 1000

∴ 1000 has 3 factors of 10.

Hope it will be helpful!!!

My Pleasure!!!

Anna received a gift card for $25 to an art store. The table shows the cost of the items.

Item Cost ($)
Bottle of Paint: 2.75
Brush: 1.09
Canvas: 7.99
Easel: 18.99
Palette: 4.50

She bought a canvas, two brushes, and three bottles of paint.

Which addition equation can be used to determine how much more money x Anna still has to spend?

A)
7.99 + (1.09) + (2.75) + x = 25


B)
7.99 + 3(1.09) + 2(2.75) + x = 25


C)
7.99 + 2(1.09) + 3(2.75) + x = 25


D)
7.99 + 2(1.09) + 3(2.75) + 25 = x

Answers

Answer:

7.99+2(1.09)+3(2.75)+x =25

Step-by-step explanation:

what's given are the prices of the canvas, brushes, and bottles of pain. 7.99 represents the one canvas Anna is buying, 2(1.09) represents the 2 brushes, and 3(2.75) represents the bottle of paints. Now what's left is x and x represents the amount of money left on the gift card. The gift card is $25 in total so that's why at the end of the equation it equals to $25.

2.What solid figure is described by a water hose?

A.circle
B.cylinder
C.prism
D.pyramid​

Answers

Answer:

cylinder <3

Step-by-step explanation:

Answer:

a cylinder

Explanation:

4x + 6y = -22
y + 3x = 1
Solution

Answers

Answer:

(-7,22)

Step-by-step explanation:

X=-7 and y=22

Express the product of 2x^2+7 and 5+ x in standard form

Answers

2x^3 + 17x^2 + 25x - 50

Please help me answer ASAP I need this due in a few minutes!! Please and thank you!!!

1. If you receive a 20% discount, how much of the original price are you paying?
A. 20%
B. 80%
C. 100%
D. 120%

2. if you pay 60% of the original price, how much is your discount?
A. 20%
B. 40%
C. 60%
D. 80%

Answers

Answer:

1. 80(B)

2. 40(B)

Step-by-step explanation:

100-20=80

100-60=40

just some simple math

Answer:

1.B

2.B

100% is the original price, so you just subtract the discount from the original price to get your answer.

Please help me!! Just look at the picture and help me with which ones a functions!

Answers

a is a function

b is Not a function

c is a function

d is a function

HELP HELP HELP PLEASE

I NEED THE ANSWER TO A

Answers

55

Step-by-step explanation:

What is the value of x in the equation 1/3x -2/3 = -18 0 -56 0-52 0 52 0 56​

Answers

Answer: x=−52

Step-by-step explanation: Hope this help :D

Plss help I don’t understand this

Answers

Answer: i believe the second 1

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

the .48 and 3.219 moved up 3 spaces.

whereas in an answer like A .48 moved 2 spaces. and 3.219 moved 3

Place these numbers in order from least to greatest:

16/5 -3 6 3.1 -2.5 1/4 -3/4 -3/8

Answers

Answer:

I hope this helps :)

Step-by-step explanation:

- Least:  -3

-  -2.5

-  -3/4

-  -3/8

-  1/4

-  3.1

-  16/5

- Greatest: 6

The arrangement is -3, -2.5, -0.75, -0.375, 0.25, 3.1, 3.2, 6.

What is Ascending order?

Arranged in a series that begins with the least or smallest and ends with the greatest or largest.

Given:

16/5 -3 6 3.1 -2.5 1/4 -3/4 -3/8

We can also write it as

3.2  -3  6  3.1  -2.5  0.25  -.075  -0.375

the smallest number is -3

and the largest number is 6

Hence, the arrangement is as follows : -3, -2.5, -0.75, -0.375, 0.25, 3.1, 3.2, 6

learn more about ascending order here:

https://brainly.com/question/320500

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please help me (wrong answers get reported)

Answers

Answer:

pretty confident it's D. Also your in testnav gl

Step-by-step explanation:

Answer:

Ralph give out 10 lollipops every 5 days.

Mrs. Mobley can jog 3 miles in 27 minutes. How many miles can she jog in 81 minutes?

Answers

Answer:

9 miles

Step-by-step explanation:

You need to get 27 minutes to 81 minutes so you multiply 27 by 3, and that is 81, so you simply multiply 3 by 3 and get 9! Hope this helps! ;)

(27 x 3) = 81

(3 x3) = 9

The graph shows a quadratic function, f(x), and a cubic function, g(x).
Select all values that are approximate solutions to the equation f(x) = g(x).
x=2
x=1
x=0.6
x=-0.3
x=-0.6
x=-1.4

Answers

Answer:

B,c,d

Step-by-step explanation:

0.6 and -0.6.

What is Function?

In mathematics, a function is a relationship between two values, x and y, from different sets—A and B. It connects inputs and outcomes.

Given a graph of a quadratic and a cubic equation. Sometimes you may figure out the answer by simply reading the presented problem. In order to determine the solution to the given problem, we must look at any (or any) point on the provided graph. Typically, we start by looking at the graph's x- or y-intercepts. Let's look at the following graph's y-intercept, where we can clearly understand what it looks like. We can tell that the graph's y-intercept is at -1 by looking at it. A position on the y-axis where the value of x is 0 is known as the y-intercept. Let's now examine the provided functions.

F(x) = a(x + 0.5) (x  + 1.5)

g(x) = b(x+1)³

Where after putting the value at x = 0,  b is 1 and a is 2.667.

Putting option in both equations only value which satisfying function F(x) =  g(x) is 0.6, -0.6.

Therefore,  values that are approximate solutions to the equation f(x) = g(x) are 0.6 and -0.6.

Learn more about Function here:

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-6x - y = 27 3x + 8y = 9

Answers

Answer:

-6x - y = 27 = x= −1 /6 y+ −9 /2

3x + 8y = 9 =  x= −8 /3 y+3

Step-by-step explanation:

be more specific and space out the equations next time please, i didn't know what you wanted me to do. but i solved them.

brainliest please?

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