Jovante decides to start a business by making buttons and selling them for 25 cents each. The button machine costs $125 and the
2 answers:
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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:
c = 2
d = 28
Step-by-step explanation:
Please see the attached file for explanation
Let's write it down:
<span>"60 is 75% of s" means:
60=75%*s
75% is
, (percent just means "out of 100" so we just divide it by 100) so we can also write:
60=</span><span>
s
now, let's multiply both sides by 4:
240=3s
and divide by 3:
80=s
So we have the result that the original value, s, is 80!
</span>
<span>"60 is 75% of s" means:
60=75%*s
75% is
60=</span><span>
now, let's multiply both sides by 4:
240=3s
and divide by 3:
80=s
So we have the result that the original value, s, is 80!
</span>