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:
B
Step-by-step explanation:
Substitute the x value into the right side of the function and if the value obtained is equal to the y value of the point then it is a solution.
(0, - 4) → y = 5(0) - 4 = 0 - 4 = -4 ← True
(2, 6) → y = 5(2) - 4 = 10 - 4 = 6 ← True
(4, 20) → 5(4) - 4 = 20 - 4 = 16 ← False
(4, 16) → 5(4) - 4 = 20 - 4 = 16 ← True
(0, - 4), (2, 6), (4, 16) ← possible inputs and outputs
Answer:
12. 114 Laps
13. 234 students don't ride the bus.
14. 1.5% of 26,500.60 is 397.50 so the answer is $26,500.60
15. 24% × 63.4 = 15.2 so the original weight of the bag is 63.4 pounds
Step-by-step explanation:
Answer:
S=20
Step-by-step explanation:
we want P(s) = 60
so P(s) = 3s = 60
s = 20