Given the function f(x)=-x^2+6x+17 determine the average rate of change of the function over the interval −3≤x≤7.

Answers

Answer 1

Answer:

2

Step-by-step explanation:

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

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

Here [ a, b ] = [ - 3, 7 ] , then

f(b) = f(7 ) = - 7² + 6(7) + 17 = - 49 + 42 + 17 = 10

f(a) = f(- 3) = - (- 3)² + 6(- 3) + 17 = - 9 - 18 + 17 = - 10

average rate of change = [tex]\frac{10-(-10)}{7-(-3)}[/tex] = [tex]\frac{10+10}{7+3}[/tex] = [tex]\frac{20}{10}[/tex] = 2


Related Questions

Which graph is right?

Answers

Answer:

top one

Step-by-step explanation:

You are not including -2 (else it would be a greater or equal sign) so the dot has to be empty. You can rule out the middle options.

At this point you either remember that "greater than" means "to the right of" or you pick a convenient number, ie, 0. see that your inequality is true (zero is greater than -2) and you pick the graph where the solid line includes 0.

5.
Bread
Cost ($)
Weight (oz)
16
Whole wheat
2.24
Pita
20
3.60
7-grain
16
2.56
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are th
38
Help me

Answers

Answer:

search on chrome 4 mor answer mwa mwa

Step-by-step explanation:

I don’t know but I really need answers

8i

−8

8i2

−8i
NO LINKS

Answers

Answer:

Step-by-step explanation:

x² = -64

   = -1 · 64

Using -1 = i²:

x² = 64 · i²

Using 64 = 8²:

x² = 8² · i²

   = (8·i)²

Taking the square root of both sides:

x = 8i

!! WILL GIVE BRAINLIEST AND 6 THANKS ON ALT ACCOUNT!!
The answer is 150. I just need to know the explanation to get the answer. If you give a good and understandable answer, I will give what was listed in title.
Please don't troll, I really need this.


On Fan Appreciation day, fans will be receiving free gifts. Every person Who passes through the turnstyle gets a team cap. Every second person through will get a pennant. Every sixth person gats a bat. Every 25th person gets an autographed baseball. Which person is the first one to get all the free gifts?

Answers

I tihnk you can get 150 by multiplying 25 by 6 to get 150

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

The correct answer is approximately 20 ft !

Please mark me brainliest if you are able to do it :)

the answer is 20,336 ft

6,200 mm is 6,2 m and you multiply it with 3,28 feet then you get the answer.

Which equation has no solution?

Answers

Answer:  It should be the third one

Step-by-step explanation:

i need serious answers ppl keep putting those links

Answers

Answer:

Roman

Step-by-step explanation:

An easy way to solve this is looking at whether the line has a positive or negative slope. We read graphs from left to right so if the line is increasing from left to right, it has a positive slope while a line decreasing from left to right has a negative slope. Since the line shown is decreasing from left to right, it will have a negative slope and Roman is the only one out of the two that shows a negative slope. To check to see if he's correct, we can check the y-intercept. The y-intercept of the line is 8 and Roman also has 8 written in the expression. Hence, meaning Roman is correct.

Best of Luck!

35is what percent of 25

Answers

Answer: 140

Explanation: 35/25 = 1.4 = 140%

Would appreciate brainly <3

Answer:

Percentage Calculator: 35 is what percent of 25? = 140.

Step-by-step explanation:

hehe :)

How many solutions are there to the equation below?
5x + 15 = 5(x+4)

Answers

Answer:

I think it 2 solution to the problem you can add or multiple

Find the term-to-term rule of this sequence:5,6,8,12

Answers

Answer:

5,6,8,12,20,36,68

Harrison has 12 coins in quarters and nickels. He determines that they have a total value of $2.00.
a) Write a system of equations that could be used to find the number of each coin he has.

Answers

Answer:

See below

Step-by-step explanation:

Let the number of nickels is n, number of quarters is q.

We know that:

Nickel = 5¢, quarter = 25¢, $2 = 200¢

As per given we can set the following system:

n + q = 125n + 25q = 200

Solving this we get:

n = 5, q = 7

Mrs. Baynes is shopping for rulers for her classroom. She wants to spend $19.75 on rulers and they cost $0.79 each. How many rulers, (r), can she buy?

Answers

Answer: 25 rulers

Step-by-step explanation:

19.75/.79=25

Answer:

25

Step-by-step explanation:

Divide the total money, by the cost of each product:

$19.75/$0.79=25

The table gives information about the heights of 50 trees. Work out an estimate for the mean height of the trees.

Answers

Answer:

add h then divide by 2 for h times f

Step-by-step explanation:

can someone help me?!!! I need help!! ASAP

Answers

Answer:

look at the picture .......................

Chose the graph which represents the solution to the inequality

Answers

Answer:

See answers below.

Step-by-step explanation:

 x  =  - 4x + 15             Change the ≤ to an = and solve for x    

4x =   4x          

5x  =       15

  x =    3           Now replace the equal sign with ≤

    x ≤ 3

The graph: closed circle dot at point 3 and shaded to the left . Can not see the graph but pick the one that starts at 3 and shaded to the left.

12 liters to quarts rounded to nearest hundredth

Answers

Answer:

12.6

Step-by-step explanation:

have a wonderful day :)

What are all the factors of 54?

1, 2, 3, 6, 9, 18, 27, 54
1, 2, 6, 9, 27, 54
1, 2, 6, 9, 26. 54
1, 2, 3, 6, 9, 18, 26, 54​

Answers

Answer:

1,2,3,6,9,18,27,54

Step-by-step explanation:

1 x 54 = 54

2 x 27 = 54

3 x 18 = 54

6 x 9 = 54

9 x 6 = 54

18 x 3 = 54

27 x 2 = 54

54 x 1 = 54

Three people take 2½ hours to deliver leaflets to 270 houses. Assuming all people deliver leaflets at the same rate, how long will it take five people to deliver leaflets to 405 houses? Give your answer in hours and minutes.​

Answers

Answer:

3 hours 45 minutes

Step-by-step explanation:

270/2 1/2 = 108. This means they are delivering 108 leaflets an hour. Then you divide 405 by 108 and get 3.75, which is 3 hours and 3 quarters of an hour. since a quarter of an hour is 15 minutes it would be 3 hours 45 minutes.

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

Step-by-step explanation: she can read 15  pages an hour but she read for 2 hours so she read 30 pages

Step-by-step explanation:

The correct answer is 30 pages.
Since she reads 100 words per minute and there are 400 words on a page, divide 100 by 400 and you’ll get 4, so it takes her 4 minutes to read one page. Convert 2 hours to minutes by multiplying 60 by 2 and get 120 minutes. Then divide 4 by 120 to get 30.

Which value of m is a counterexample for the following statement?

If m is an odd prime number, then m + 2 is also prime.

7

3

5

9

11

Answers

Answer: 7

The prime numbers here are 3, 5, 7, and 11. This means that 9 is not prime. Since 7 +2 is 9, this disproves that m + 2 is also prime.

Would appreciate brainly <3

Answer:

true

Step-by-step explanation:

because you can start at zero and go on forever adding twos but it'll still be the same

someone help me pls
i need it now
just simply choose the letter of the correct answer​

Answers

Answer:

Step-by-step explanation:

1. D

2. A

3. A

4. B

5. B

dont know the rest sorry

Could someone please help me on this equation?

Answers

Answer:

y = (x+2)x7

Step-by-step explanation:

Answer:

y = 7x + 14

Step-by-step explanation:

1. Add 2 to x = x + 2

2. Multiply x + 2 by 7 = 7(x + 2)

3. Simplify: y = 7x + 14

A carnival ride has a sign at the beginning of the line that says "Must be at least 48 inches tall to ride." Which of the following inequalities best represents the allowable height of riders? h > 48 h < 48 h ≥ 48 h ≤ 48

Answers

Answer:

H is equal to and greater than 48 the last one because you must be equal to 48 inches or greater than 48 inches so = would be equal to and < would mean that you must be greater than

Step-by-step explanation:

Answer:

h ≥ 48

Step-by-step explanation:

Height must be greater than or equal to 48 inches tall to ride.

1,245 jellyfish were washed up onto shore over a
2-week period. About how many jellyfish is this,
rounded to the nearest thousand?

Answers

1000. 1245 rounded to the nearest thousands is 1000 because it’s closer to 1000 than 2000

Pls answer this 100 points if so

Answers

The answer is: F
To your question

Answer:

(f) can you plz mark brainiest

Step-by-step explanation:

Can someone pls help me...

Answers

It is not a function and that is becuase a vertical line would pass through it twice

P(x)=1/2(x-2)(x-3)(x+7) find the constant

Answers

Answer:

21

Step-by-step explanation:

p(x)=1/2(x-2)(x-3)(x+7)

costant term=1/2(-2)(-3)(7)=21

Rachel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55.96 and costs an additional $0.15 per mile driven. The second plan has an initial fee of $67.96 and costs an additional $0.11 per mile driven. How many miles would Rachel need to drive for the two plans to cost the same?​

Answers

Answer:

300 miles

Step-by-step explanation:

$67.96 + $0.11x = $55.96 + 0.15x

x = 300

I hope this helps!

Plz plz plz plz plz

Answers

B
C

Hope this helps brotato chip

Lucy has some number cards that each have a whole number on them.
If she chooses a card at random, the probability that the number on it is
even is
3/7

Work out the ratio of even cards to odd cards that Lucy has.
Give your answer in its simplest form.



PLEASE HELP BRAINLIST TO FASTEST AND CORRECT ANSWER

Answers

Answer:

Well lucy has a 50/50 chance to get a odd card so that is it

Step-by-step explanation:

The ratio of even cards to odd cards that Lucy has is 3:4 in its simplest form.

Let's denote the number of even cards as "x" and the number of odd cards as "y".

The probability of choosing an even card is given as [tex]\frac{3}{7}.[/tex]

The probability of choosing an even card is calculated by dividing the number of even cards by the total number of cards:

Probability of choosing an even card = Number of even cards / Total number of cards

Therefore, we have:

[tex]\frac{3}{7} = \frac{x}{x+y}[/tex]

To find the ratio of even cards to odd cards, we can set up the equation:

[tex]\frac{x}{y} = \frac{3}{4}[/tex]

Therefore, the ratio of even cards to odd cards that Lucy has is 3:4 in its simplest form.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ4

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