Given the function h(x) = x2 – 7x + 6, determine the average rate of change of

the function over the interval 3 x < 7.

Answers

Answer 1

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(h(7) - (h(3)) / (7 - 3)

h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6

h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6

7 - 3 = 4

(6 - -6)/4 = 12/4 = 3

the average change rate in that interval is 3 (or fully 3/1).


Related Questions

Clyde bought a steak that weighs 1.4 pounds. The price is $4.50 per pound. how
much does the steak cost?

Answers

six dollars and 30 cents

factor the following equation

1263 + 14b2 + 30b + 35

Answers

Answer:

Step-by-step explanation:

2 ( 7 b 2 + 15 b + 649 )

Answer:

1298+28b+30b

1298+58b

2(649+29b)


The diagram shows a triangular prism.
AB=12cm, BC=6cm, PC=4cm, angle BCP=90° and angle QDC=90°.
Calculate the angle between AP and the rectangular base ABCD.

Answers

the answer is Angle PAC=16°

Naomi and Stefan are selling pies for a school fundraiser. Customers can buy cherry pies and pumpkin pies. Naomi sold 11 cherry pies and 4 pumpkin pies for a total of
$208. Stefan sold 13 cherry pies and 12 pumpkin pies for a total of $384. Write the
system of equations that would allow you to determine the cost each of one cherry
pie (c) and one pumpkin pie (p)?

Answers

The answer is the first option

The cost of one cherry pie (c) is $12 and one pumpkin pie (p) is $19 and the equation system will calculate the cost of one cherry 11c + 4p = 208  and 13c + 12p = 384 .

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

Let the number of cherry pies be c,

And the number of pumpkin pies be p,

As per the given information, an equation system will calculate the cost of one cherry.

11c + 4p = 208    ...(i)

13c + 12p = 384  ...(ii)

Multiplying 12 by equation (i) and 4 by equation (ii), we get

132c + 48p = 2496 …(iii)

52c + 48p = 1536 …(iv)

Equation (iii) subtracts from (iv) and we get c = 12 then substitute the value of 'c’ into equation (i) and we get

11(12) + 4p = 208

4p = 208 - 132

4p = 76

p = 19

Thus, the cost of one cherry pie (c) is $12 and one pumpkin pie (p) is $19

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Which expression is illustrated on the number line 4-2 -2+4 -2+6 4+(6)

Answers

The number line shown below is used to illustrate the expression 4 + (-6)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Number lines are the horizontal straight lines in which the integers are placed in equal intervals. Number lines can be used to show mathematical operations of addition and subtraction

The number line shown below is used to illustrate the expression 4 + (-6)

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14% of the towns population is over the age 65. If there are 320 residents over the age of 65, approximately what is the towns population?

Answers

Answer:

about 315

Step-by-step explanation:

2,250×0.14

hope this helps!

Find the perimeter of the figure below.
9x
8x-2
5x +11
17X-6
a. 45x - 14
b. 39x - 7
C. 58x + 8
d. 14x - 125
Please select the best answer from the choices provided
Ο Α
OB

Answers

Answer:

B

Step-by-step explanation:

Perimeter is the sum of all the lengths of its sides.

Perimeter of the figure

= 9x +8x -2 +17x -6 +5x +1

= 9x +8x +17x +5x -2 -6 +1

= 39x -7

Thus, the correct answer is option B.

for the functions u(t) = 7t - 2 and s(t) = t^2 - 9, what is s (u(2))?

Answers

Answer:

[tex]s(u(2)) = 135[/tex]

Step-by-step explanation:

[tex]u(t) = 7t - 2 \\ u(2) = 7(2) - 2 \\ u(2) = 14 - 2 \\ u(2) = 12 \\ \\ s(t) = {t}^{2} - 9 \\ s(u(2)) = {(12)}^{2} - 9 \\ s(u(2)) = 144 - 9 \\ \\ s(u(2)) = 135[/tex]

I hope I helped you^_^

For the functions u(t) = 7t - 2 and s(t) = t² - 9. s(u(2)) = 135

What is a function?

A function is a mathematical equation that shows the relationship between two variables.

For the functions u(t) = 7t - 2 and s(t) = t² - 9.To find what is s(u(2)), we proceed as follows.

Since u(t) = 7t - 2. Then u(2) is evaluated when t = 2. So, we have that

u(t) = 7t - 2

u(2) = 7(2) - 2

u(2) = 14 - 2

u(2) = 12

Now, since u(2) = 12 and s(t) = t² - 9

s(u(2)) is evaluated as follows

s(t) = t² - 9

s(u(2)) = 12² - 9

s(u(2)) = 144 - 9

s(u(2)) = 135

So, s(u(2)) = 135

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Can someone tell me the answer to this please I got this wrong on my first attempt .-.

Answers

Answer:

B

Step-by-step explanation:

In similar triangles corresponding sides are in same ratio

[tex]\dfrac{CV}{CE}=\dfrac{CU}{CD}\\\\\\\dfrac{CV}{54}=\dfrac{14}{98}\\\\CV=\dfrac{14}{98}*84\\\\CV = \dfrac{1}{7}*84\\\\CV = 12[/tex]

Answer:

B) 12

Step-by-step explanation:

CD - 98

CE - 84

~

CU - 14

CV = 12

-

You set up a proportion: 98/84 = 14/x

x=12

*HELP
What is the aspect ratio of a sheet of paper with the following dimensions:

20-inches x 8-inches

Round your answer to the nearest tenth.

Answers

Just multiply 20x8 and the answer will be 160 and just round it to the nearest tenth and the. It’ll be 200

PlsSSS answer this is due at 11 am today and i dont know

Answers

Answer:

where is the question???..............

The answers for this question is

A Y= 1/5 x+1

B Y= -5/1 X+1

C Y= -1/5 X+1

D Y= -1/5 X-1

Answers

Answer:

C

Step-by-step explanation: C is the best equation

Answer:

C. y = -1/5x + 1

Step-by-step explanation:

The graph is closer to a line:

With the y- intercept of 1With the negative slope close to horizontal line

According to above observation, the closest choice is C

Find the slope and use the point to write an equation of the line in point slope form.

Answers

Answer:

y - 3 = - 1/4(x + 2)

Step-by-step explanation:

m = - 1/4

Point = (-2,3)

y-intercept = 3 - (- 1/4) (-2)

= 3 - 1/2 = 5/2

y = - 1/4x + 5/2

Simplify to positive exponents(4^-4)^2A. 4^12B. 1/4^8C. 4^3D. 1/4^4

Answers

(4^-4)^2 =
4^-8 =
(1/4)^8
Answer is B.

The point A(−4,5) is reflected over the point (2,3) and its image is point B. What are the coordinates of point B?

Answers

Answer: (8,1)

Step-by-step explanation:

The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b

b = 3 2/3

The equation for the line is y = -(1/3)x + 3 2/3

The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1

The point is (8,1)

Direction: the indicated operation reduce the answer to lowest terms whenever possible.

1. 11/12 - 5/12 = ?

2. 6 ½ - 1 9/10 =?

3. 5 ¾ + 9 1/6 =?

4. 7 2/8 - 4 5/6 = ?

5. 5 1/3 - 1 4/5 = ?

6. 7 ¾ - 5 ½ = ?

7. 5/8 - 3/8 = ?

8. 7/15 + 8/15 + 2/15 = ?

9. ¾ + ½ + 2/8 = ?

10. 9/10 - 2/5 = ?

PLEASE HELP NOW
MATHEMATICS​

Answers

Answer:

1/24 3/5 14 11/122 5/ 123 8/ 152 1/ 41/ 41 2/ 151 1/ 21/ 2

∠2≅∠4, m∠2=110°. Find the measures of angles 1, 3, and 4 and explain how you know.

Answers

Answer:  ∠1 =70° ;   ∠3 = 70° ;  ∠4 = 110°

Step-by-step explanation:

∠2 ≅ ∠4 = 110°                       [exterior alternate angles are equal]  

∠1 = 180° - 110° = 70°             [since angles on a line have a sum of 180°]

∠1 = ∠3 = 70°                        [since vertically opposite angles are equal]

Please help, I’ll mark your answer as brainliest!

Answers

The answer would be -5a

just click on the image

Answers

Why does it have to be 20 characters The answer is -2/1

No Links Please!!I Need Help (I'm Not a Fan Of Math)Thank You So Much If You Help Me Out Here =D

Answers

Answer: 24 boxes

Step-by-step explanation:

Answer:

Arianna can move 24 boxes

5

3:5

256 fluid ounces

Step-by-step explanation:

Gene is creating a rectangular prism. The base of his prism is shown below. He plans to have a height of 5 cubes.

Answers

Answer:

its equals 30 cubic units

Happy To Help :)  Pls mark brainliest

Step-by-step explanation:

complete the simpliflication:
please help giving brainlest

Answers

Answer:

Step-by-step explanation:

i dont know, i just did this for reason

Answers

Hello, how is your day? :)

Evaluate 3/4+(1/2+1/4)^2⋅2

Answers

Answer:

1 7/8

Step-by-step explanation:

Exact Form 15/8

Decimal Form 1.875

Mixed Number 1 7/8

Round 34.628 to the nearest hundredth.

Answers

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Helppp I have three more

Answers

16b = 12

Divide both sides by 16

b = 12/16

Simplify 12/16 by dividing by the GCF of 12 and 16, which is 4

b = 3/4

Hope this helps!! :)

1 divided by 3/8

5 divided by 7/8​

Answers

Answer:

2.66666666667

1.14285714286

Step-by-step explanation:

Answer:

1 divided by 3/8=2 2/3 and 5 divided by 7/8=5 5/7

Step-by-step explanation:

first you have to divided the 1 and 3/8 you will get 8/3 then you divided that and you will get 2 2/3

After you do that one you go to 5 divided by 7/8 you will get 40/7 then you divided that and you will get 5 5/7

Can someone please write the points in a notebook please I really need help

Answers

Answer:

Step-by-step explanation:

I need to fill out the GRAPH plss

Answers

Answer:

1 rabbit is 4 dollars

Step-by-step explanation:

for every rabbit you have, multiply it by 4 to find the number of dollars

The triangles are congruent. Write the

congruence statement (LT#4)

Answers

Answer:

C

Step-by-step explanation:

Look at the angle markings. Angle C has one mark, Angles E and S have two marks, and Angles D and R have three marks.

Therefore, these angles correspond with one another and determine the order of the letters.

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