To solve this, plug 3 into x. The equation will be f(3)=-3-2. This simplifies to -5.
Answer:
2
Step-by-step explanation:
For a quadratic function the average rate of change on an interval is the rate of change at the midpoint of the interval. The rate of change of a function is given by its derivative.
The derivative of f(x) = x^2 is f'(x) = 2x. The midpoint of the interval is (4+(-2))/2 = 1. Then the average rate of change is ...
f'(1) = 2(1) = 2
The average rate of change of f(x) on [-2, 4] is 2.
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<em>Alternate solution</em>
The average rate of change is the slope of the line between the end points of the interval:
m = (y2 -y1)/(x2 -x1)
m = (f(4) -f(-2))/(4 -(-2)) = (20 -8)/(6) = 2
The average rate of change on [-2, 4] is 2.
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The attached graph shows the points on the curve and a line with slope 2 between them. It also shows the various slope calculations.
Answer: 67/1000
Step-by-step explanation:
Based on Molly's willingness to pay for the 8th trip, and the number of trips she can make over the bridge, her willingness to pay for the bridge repair would be<u> $1.00.</u>
<h3>What is Molly's willingness to pay for taxes to fix the bridge?</h3><h3 />
Molly's willingness to pay for trips is equal to the total consumer surplus she gets.
This means that her consumer surplus is $0.50.
With the bridge fixed, she can make 2 more trips than before because she can make 10 trips.
Her willingnesss to pay for the taxes will therefore be equal to her willingness to pay for the remaining trips:
= 0.50 x 2
= $1.00
Find out more on willingness to pay at brainly.com/question/8449170.
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Answer:
it stays the same until t=0, where it is undefined
Step-by-step explanation:
2t/t = 2 . . . . when t ≠ 0
2t/t = undefined when t = 0.
The value of t can increase or decrease and the value of the ratio remains the same. The value has a "hole" at t=0, where it is undefined. Otherwise, its value is always 2.
