The average rates of change of f(x) and their corresponding intervals are given as:
Interval Rate of Change
[-5, -1] -8
[-4, -1] -7
[-3, 1] -4
[-2, 1] -3.
<h3>What is the explanation for the above?
</h3>
Step 1 - See Table Attached
Step 2 - State the formula for rate of change
The formula for rate of change is given as:
= [change in f(x)] / [change in x]
a) For interval [5, -1] ⇒
Rate of Change - [ f(1) - f(-5) ] / [-1 - (-5)]
= [-1 - 35] / [-1+5]
= -36 / 4
= - 8
b) For interval [-4, -1] ⇒
rate of change = [ f(-1) - f(-4) ] / [ -1 - (-4) ]
= [3 - 24] / [-1 + 4]
= -21/3
= - 7
c) interval [-3,1] ⇒
rate of change = [ f(1) - f(-3) ] / [ 1 - (-3) ]
= [-1 - 15] / [1 + 3]
= -16/4
= - 4
d) interval [-2,1] ⇒
rate of change = [f (1) - f(-2)] / [1 - (-2)]
= [ -1 - 8] / [1 + 2]
= -9/3
= -3
Learn more about rate of change at:
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Answer:
12 inches
Step-by-step explanation:
So you know that the perimeter of a picture frame (a rectangle) is 2 widths plus 2 lengths.
Let x= lengths and w= widths
From the question we already know that w=7, so we can set up an equation that says:
2x + 2w = 38
2x + 2(7) = 38
2x+14 = 38
2x +14 -14 = 38-14
2x = 24
2x/2 = 24/2
x= 12
Since x= lengths =12
the length of the frame is 12 inches.
The answer is 6 5/6.
Do you understand why?
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Glad to help!
-8, 3 Do you need me to explain
Answer:
(F). People may have a career following their passion, but have a low income or a long commute.
(A). A working spouse could affect all three variables. (C).People might be very satisfied with their career as long as the income is high.
(E). One-way commute times may be long because affordable housing is distant from the job.
Step-by-step explanation:
a. People may have a career following their passion, but have a low income or a long commute.
sometimes people can get jobs based on their passion but might still have low income and a long commute.
b. A working spouse could affect all three variables.
Yea a working spouse considers the income rate, job satisfaction and commute time involved in a job because it can affect their daily lives.
c. People might be very satisfied with their career as long as the income is high.
Most people are more satisfied with their career when the income rate is high.
d. One-way commute times may be long because affordable housing is distant from the job.
Income rate affects the choice of accommodation and housing.
