These tables represent a quadratic function with a vertex at (0,3). What is the
average rate of change for the interval from x = 7 to x = 8?
х
Interval
0
1
2
у
3
2
-1
-6
-13
--22
--33
Average rate
of change
-1
1-2
-3
1-2
-5
1-2
-7
]-2
-9
13-2
-11
O to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
3
4
5
6
O
A. -15
B. -61
C.-2
D. -46

Answers

Answer 1

Answer:

These tables represent a quadratic function with a vertex at (0,-1) what is the average rate of change for the interval from x=7 to x=8?

B.-15

Step-by-step explanation:

Answer 2

The average rate of change from 7 to 8 = -15

How to determine the average rate of change?

The average rate of change of a quadratic function is calculated using:

Rate = (f(b) - f(a))/(b - a)

The interval is from x = 7 to 8.

So, we have:

(a,b) = (7,8)

The equation becomes

Rate = (f(8) - f(7))/(8 - 7)

Evaluate the difference

Rate = (f(8) - f(7))/1

This gives

Rate = f(8) - f(7)

From the table, we have:

Rate from 5 to 6 = -11 where the constant is -2

So, we have:

Rate from 6 to 7 = -11 - 2

Rate from 6 to 7 = -13

Also, we have:

Rate from 7 to 8 = -13 -2

Rate from 7 to 8 = -15

Hence, the average rate of change from 7 to 8 = -15

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Related Questions

What is the median of this list of grades: 78,55,98,86,92,70,60 ?

Answers

Answer:

the median of this list is 78

Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?

Answers

Answer:

The answer is 15 ounces

Step-by-step explanation:

33/4 ÷ 4 pounds.

(4 × 3 + 3)/4 ÷ 4 pounds.

15/4 ÷ 4 pounds.

15/4 × 1/4 pounds.

15/16 pounds.

Now we know that, 1 pound = 16 ounces.

So, 15/16 pounds = 15/16 × 16 ounces = 15 ounces.

Thus, The answer is 15 ounces

Jina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jina $4.35 per pound, and type B coffee costs $5.80 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $510.40. How many pounds of type A coffee were used?

Number of pounds of type A coffee:

Answers

9514 1404 393

Answer:

  32 pounds

Step-by-step explanation:

Let 'a' represent the number of pounds of Type A coffee used. Then the number of pounds of Type B coffee in the mix is 2a, and the total cost of the mix is ...

  4.35a +5.80(2a) = 510.40

  15.95a = 510.40 . . . . collect terms

  a = 32 . . . . . . . . . . . divide by 15.95

Number of pounds of type A coffee: 32.

Find the 14th term of the arithmetic sequence x-4, 7x-9, 13x-14, ...

Answers

Answer:

14x-9

Step-by-step explanation:

Graduates A random sample of the average debt (in dollars) at graduation from 30 of the top 100 public colleges and universities is listed below. Is there sufficient evidence at a _ 0.01 to conclude that the population mean debt at graduation is less than $18,000? Assume s _ 2605
16,012 15,784 16,597 18,105 12,665 14,734
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13,607 13,374 19,410 18,385 22,312 16,656
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a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results

Answers

Answer:

H0 : μ = 18000

H1 : μ < 18000 - - - > Claim

Test value = - 3.578

Critical value = ±2.58

There is significant evidence to accept the claim that mean debt at graduation is less than $18000

Step-by-step explanation:

H0 : μ = 18000

H1 : μ < 18000

From the data:

Sample size, n = 30

Sample mean, x = 16298.37

The test statistic :

(16298.37 - 18000) ÷ (2605/sqrt(30))

−1701.63 / 475.60575

= - 3.578

The critical value :

Using the standard normal table;

Critical value at α = 0.01

Critical value = ±2.58

Decison region :

|test statistic | > |Critical value | ; reject H0

|3.578| > |2.58| ; We reject H0 and conclude that Mean debt at graduation is less than $18000

Find the value of x. 2x - 5 > 7 *

Answers

Answer:

[tex]x>6[/tex]

Step-by-step explanation:

Answer:

x > 6

Step-by-step explanation:

Can someone help me please

Answers

Answer:

It's 2/15

Step-by-step explanation:

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Answers

Evaporation changes liquid water and even solid water (ice) to water vapor, which is a gas. This all part of the water cycle! Hope this helps!!

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

ahhhhh uh you are looking for things less than that line so you would pretty much shade in the under side of the line and any point that is in that shaded region is the answer

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Answer:

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Step-by-step explanation:

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An assistant receives a wage of $16.24 per hour this amount is 112% of last year's wage what is the dollar increase in the hourly wage over last year use proportion method

Answers

9514 1404 393

Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

5y+8=-6

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Hello, I hope the answer is correct if not let me know and i will work step by step on it with you. Your welcome and Happy to help.

The surface area of the design is 384 inches².

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

The given design is a cube.

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Answers

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Step-by-step explanation:

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Answers

Answer:

5x -3y + 11 = 0 .

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

yes it is because its a triangle and its acute

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For the given equation, what is the step to clear the fractions and what is the result?
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Answers

Answer:

The first choice

Step-by-step explanation:

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Answers

Answer: Your question has some missing data attached below is the missing data

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