The average rate of change of f(x) is given by the formula f(7)-f(3)/4 . Over what interval does this formula give the average rate of change for f(x)?The answer choices are
A. [4,7]
B. [-7,3]
C. [3,7]
D. [3,4]

Answers

Answer 1
Answer:

Answer:

Option C is correct

[3,7]

Step-by-step explanation:

Average rate of change(A(x)) of f(x) over an interval [a, b] is given by:

A(x) = (f(b)-f(a))/(b-a)

As per the statement:

The average rate of change of f(x) is given by the formula:

A(x) = (f(7)-f(3))/(4)

we can write this as:

A(x) = (f(7)-f(3))/(7-3)

By definition, we have

b = 7 and a = 3

⇒interval = [3, 7]

Therefore, the interval does this formula give the average rate of change for f(x) is,  [3,7]

Answer 2
Answer:

Answer:

the answer is c


Step-by-step explanation:



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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Match the reasons with the statement.Given: 12 - x = 20 - 5 x

To Prove: x = 2

1.
Division property of equality

A. 12 - x = 20 - 5 x

2.
Subtraction property of equality

B. 12 + 4 x = 20

3. Addition property of equality

C. 4 x = 8

4. given

D. x=2

Answers

To prove that x = 2 in the equation given, first, we write the given.
               (4) Given:    (A)  12 - x = 20 - 5x
   Then, add 5x to both sides of the equation,
               (3) Addition property of equality:    (B) 12 + 4x = 20
Then, subtract 12 from both sides of the equation
              (2) Subtraction property of equality:  (C) 4x = 8
Lastly, divide both sides by 4
              (1) Division property of equality :    (D) x = 2