For a function f(x), the difference quotient is 21x2 + 21xh + 7h2 + 2. Which statement describes how to determine the average rate of change of f(x) from x = –3 to x = 2? Substitute –3 for x and 2 for h in the difference quotient. Substitute –3 for x and 5 for h in the difference quotient. Substitute 2 for x and –3 for h in the difference quotient. Substitute 2 for x and –5 for h in the difference quotient.

Answers

Answer 1

Answer:

Substitute –3 for x and 5 for h in the difference quotient.

Step-by-step explanation:

The difference quotient for the function f(x) is  21x² + 21xh + 7h² + 2. Now, we know that the difference quotient equal f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. The change in x is h = x₂ - x₁. So, if x changes from x = -3 to x = 2,  where x₁ = -3 and x₂ = 2, h = x₂ - x₁ = 2 - (-3) = 2 + 3 = 5.

So to find the average rate of change of f(x) from x = -3 to x = 2, we substitute x = -3 and h = 5 into the difference equation  f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. Since, x starts at x = -3 and increases by 5 units to x = 2.

Answer 2

Answer:

(on edge) B. Substitute –3 for x and 5 for h in the difference quotient.

Step-by-step explanation:


Related Questions

2x+y=7 solve for y. what is the answer?

Answers

Y=7-2x I apologize if this is wrong, I don’t remember this that well

Answer:

Step-by-step explanation:

There is no numeric answer, or there are many.

y = 7 - 2x is the first answer that you have to get.

Now you are away. The domain is anything.

The range (the y value) is also anything.

The picture below shows the solution set for which system of inequalities? A. y>x y<2 B. y>x y>2 C. y2 D. y

Answers

Answer:

Y<x

Y<2

Step-by-step explanation:

Apex

NEED HELP! ASAP! 50 POINTS!

What is the slope intercept form of 4x-3y=18? Explain.

A) y = 3/4x - 6

B) y = -3/4x - 6

C) y = 4/3x - 6

D) y = -4/3x + 6

Answers

Answer:

D

You use algebra and solve it for y.

Step-by-step explanation:

4x-3y=18

3y=4x+18

y=4/3x +6

Answer:

D

Step-by-step explanation:

Please help ASAP Cool Down: Graph the Relationship
Sketch a graph that shows the
relationship between grams of
honey and grams of salt needed
for a bakery recipe. Show on
the graph how much honey is
needed for 70 grams of salt.

Answers

Answer:

105

Step-by-step explanation:

15/10= 1.5

30/20= 1.5

70x1.5= 105

5.22 write the decimal as a fraction or mixed number in simplest form​

Answers

Answer:  

5 and 11/50  

Step-by-step explanation:

5.22 = 261/50 = 5 and 11/50

please help MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

[tex] \frac{5(q + p)}{2} = 3 + 4p \\ [/tex]

Multiply sides by 2

[tex]5(q + p) = 2(3 + 4p)[/tex]

[tex]5q + 5p= 6 + 8p[/tex]

Subtract sides minus 5p

[tex]5q = 6 + 8p - 5p[/tex]

[tex]5q = 3p + 6[/tex]

Divided sides by 5

[tex]q = \frac{3p + 6}{5} \\ [/tex]

a = 3 , b = 6 , c = 5

They're all positive.

So we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

solve for z (show your work)

Answers

Answer:

z=-3

Step-by-step explanation:

combine like terms then solve

The mean,mode,median in
2, 5, 5, 6, 7, 3, 2, 6?

Answers

the median is 5
the mean is 4.5.
the mode is 2,5,6,7

help please! step by step if possible

Answers

9514 1404 393

Answer:

use the formula for slope2/3

Step-by-step explanation:

The formula for slope (m) of a line between two points is ...

  m = (y2 -y1)/(x2 -x1)

Pick two points from the table and fill in the values. Using the last two table entries, we have ...

  m = (7 -5)/(5 -2) = 2/3

The slope is 2/3.

What number is 40% of 307
Input only whole numbers.

Answers

Answer:

123 is 40% of 307.

10% is 30.7 so
30.7 x 4 = 122.8

*DOMAIN AND RANGE HELP PLEASE
if u can tell me the answers like *A. then say the two numbers that would be helpful*
but please help me!!!!!!

Answers

Answer:

Step-by-step explanation:

A) Domain: 8 Range: 7

B) Domain: 5 Range: 6

C) Domain: 1 Range: 2

D) Domain: 3 Range: 4

The question is on the screenshot

Answers

Answer:

green

Step-by-step explanation:

What is a slope of A and B

A.1/3
B.1/2
C.1/4
D.3/4

Answers

Answer:

A. 1/3

Step-by-step explanation:

to find slope (rise over run), you count how many points up and how many points over it is to get from one point to another on the line graphed.

from point A to point B, it is 4 up and 12 over (4/12). then, you have to simplify it, making it 1/3.

hopefully that helped! please consider brainliest! :)

(I need one more to move up a rank lol)

combine like terms
5x + X =

Answers

Answer:

6x

Step-by-step explanation:

5x + x = ?

5x + x = 6x

This is because x means 1x

Answer:

Today: Monday, 12 October 2020

Hour: 09.15 WIB (in Indonesian)

_________________________

5x + x =

x = 1

5x + x = 6x

HIGH SCHOOL
od knowledge Matters
Spotting the opportunity Math Quiz
QUESTION 3 of 10: There are about 30.2 million small businesses in the United States and about 30,000 other larger businesses. What
percent of all businesses in the U.S. are small businesses?
a) 30%
b) 99%
c) 99.9%
d) 100%
Submit

Answers

Answer:99.9

Step-by-step explanation:

The percent of small businesses to all businesses is equal to 99.99%.

It is given that there are about 30.2 million small businesses and about 30000 large businesses.

We have to find out what percent of all businesses in the U.S. are small businesses.

What do you mean by percentage ?

A percentage is a number or say ratio that can be expressed as a fraction of 100.

As per the question ;

The approximate number of small businesses is ;

= 30.2 million

= 30200000

The number of large businesses is ;

= 30000

Total number of businesses will be ;

=  30200000 + 30000

= 30230000

The percent of small businesses to all businesses ;

= [tex]\frac{30200000}{30230000}[/tex] × 100 %

= 0.999 × 100 %

= 99.99 %

Thus , the percent of small businesses to all businesses is equal to 99.99%.

To learn more about percentage click here ;

https://brainly.com/question/18811795

#SPJ2

Sausages come in packets of 12. Bread rolls come in packets of 9. Brian wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?

Answers

Disheveled shelve should 263

John took a 5 1/2 mile walk to his friend's house. He left at 11 a.m. and
arrived at his friend's house at 12:45 p.m. What was his average speed of
walking in miles per hour?*

Answers

Answer:

3.14 mph

Step-by-step explanation:

5.5 divided by 1.75

5.5 is the miles

1.75 is the hours

Answer: The average speed on the return trip is 2.44 miles/h

Step-by-step explanation:

Describe what you think "domain" means

Answers

Answer:

the set of possible values of the independent variable or variables of a function.

Step-by-step explanation:

Answer:

All the x-values in the ordered pairs together make up the domain

Step-by-step explanation:

Which expression is equivalent to -2y+10x−2y+10x?

Answers

Answer:

-4y + 20x

Step-by-step explanation:

A new car is purchased for 24900 dollars. The value of the car depreciates at 6.75% per year. To the nearest tenth of a year, how long will it be until the value of the car is 15900 dollars?

Answers

Answer:

5.5 years

Step-by-step explanation:

24900 times 6.75% = 1,680.75

so this is how much it goes down per year, but we have to find it were the price reaches 15900. so 9000-1680.75=

7,319.25( one year)

7,319.25-1680.75 = 5,638.5 (second year)

5,638.5-1680.75= 3,957.75 (third year)

3,957.75-1680.75 = 2,277 (fourth year)

2,277-1680.75= 596.25 (fifth year)

Answer:

the correct answer would be 5.5

Step-by-step explanation:

I solved it and got it correct on the test

The gardener plans to fertilize the region of grass. The
gardener can buy only full bags of fertilizer and will
use at least 1 bag per 225 square feet of grass. What is
the minimum number of bags of fertilizer the gardener
needs to buy?

Answers

Answer:4

Step-by-step explanation:

A recipe asks for 6 1/4cups of flour.

How many cups of flour are needed to make 1/2 of a recipe?

Express the answer in simplest form.

Enter the answer in the box.

Answers

3 1/8 cups of flour

Hope it works!

Helppp fasttt! also always contains brainliest!

Answers

Answer:

Im pretty sure it's F

Step-by-step explanation:

Sorry if im wrong

Can anybody help me please with question 1 please and thank you .I would really appreciate it so much. Please

Answers

Do you want the answer for question 1!? It's already done! It says Given right there, that's an example answer :)

1. multiply x^2-16/6x • 7x/x+4
a. 7(x-4)/6
b. 7(x+4)/6
c. (x+4)^2(x-4)/42x^2
d. (x-4)^2(x+4)/42x^2

2. multiply y^2-9/-2y • -5y/y+3
a. -5(y+3)/-2
b. -5(y-3)/-2
c. (y+3)/-2
d. y-3/-2

Answers

Answer:

1. b

2.c

Step-by-step explanation:

Answer:

1.A

2.B

Step-by-step explanation:

Hope this helps



What is the smallest possible value for x when î x plus 5 is greater than or equal to 3?

Answers

Answer:

x = - 2

Step-by-step explanation:

Given

x + 5 ≥ 3 ( subtract 5 from both sides )

x ≥ - 2

Thus smallest possible value for x is - 2

What value of m makes this equation true?
m/4-3 = 9
Drag and drop the number that correctly completes the equation

Answers

Answer:

m = 9

Step-by-step explanation:

m/4-3=9

m/(4-3)=9

m/1=9

m=9

(2x + 19)°
(3x + 8)°
How do I solve it?

Answers

The answer is 11° . U can see answer step by step in above picture.

Thank you ☺️☺️

Answer: X=11

(2x+19)=(3x+8)

-2x -2x

19=(x+8)

-8 -8

11=x

x2 - 10x + 21 = 0
How do you work this problem?

Answers

Answer:

x = 3, 7

Step-by-step explanation:

Step 1: Write equation

x² - 10x + 21 = 0

Step 2: Factor

(x - 7)(x - 3) = 0

Step 3: Find roots

x - 7 = 0

x = 7

x - 3 =0

x = 3

Eric sells boxes of cookies for $8 each. Yolanda sells boxes of cookies for $10. Each of them sold the same dollar amount. How many boxes did Eric sell

Answers

Answer:

If Eric sells boxes of cookies for $8 each, and Yolanda sells boxes of cookies for $10 each, and they made the same amount of money, then Eric sold 5 boxes.

Step-by-step explanation:

To solve this problem, you must find the lowest common multiple of eight and ten. That would be 40, which is how much they both made. $40 / $8 per box = 5 boxes.

...And you don't need to know this, but Yolanda sold 4.

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