MATHEMATICS COLLEGE

Suppose that 2 ≤ f '(x) ≤ 3 for all values of x. what are the minimum and maximum possible values of f(6) − f(4)?

Answers

Answer 1
Answer: If we let m represent the average value of f'(x) over the interval x ∈ [4, 6], then the value of f(6) will be
  f(6) = f(4) + m(6 -4)
  f(6) = f(4) + 2m
And the difference f(6) - f(4) is
  f(6) - f(4) = (f(4) +2m) - f(4) = 2m

The problem statement tells us that m must be in the range 2 ≤ m ≤ 3, so 2m is in the range 4 ≤ 2m ≤ 6.

The minimum possible value of f(6) - f(4) is 4.
The maximum possible value of f(6) - f(4) is 6.

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MIDDLE SCHOOL

What is the weight limit on a 30ft wingspan hand glider?

Answers

220 - 240lbs 
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HIGH SCHOOL

What value of x makes the equation true? –7.12 = –4.8 + x A. –11.92 B. –11.2 C. –2.32 D. 2.32

Answers

The opposite of negative is positive, so we add -4.8 to both sides. -7.12- -4.8=-2.32. So your answer is C. -2.32. Hoped I helped. :)
HIGH SCHOOL

Solve: negative 1 over 2 x 1 = −x 8
a. 7
b. 1 over 2
c. 14
d. 18

Answers

Answer:

Option c - x=14

Step-by-step explanation:

Given : Expression  

To find : Solve the expression ?

Solution :

Step 1 - Write the expression,

Step 2 - Take like terms together,

Step 3 - Solve the addition,

Therefore, Option c is correct.

None of these are correct if you typed the problem right. The correct answer would be x=1 over 16
MIDDLE SCHOOL

YOU PROBABLY CAN'T ANSWER THIS :/ Using the exponential function 2x + 3, what is the average rate of change between the values 1 ≤ x ≤ 5?

explain your answer step by step

Answers

Rate of change of the function: 60

Step-by-step explanation:

The exponential function in this problem is

The rate of change of a function between a certain interval is given by

where

is the value of the function calculated in

is the value of the function calculated in

In this problem, the interval is

So we have:

and

Therefore, the rate of change is:

Learn more about rate of change:

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brainly.com/question/12941985

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