At top speed, a fox can cover 7 miles in 12 minutes. If a fox could continue at this rate indefinitely, how long would take the
2 answers:
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Answer:
S'(x)=-0.006x2+0.8x+9
Step-by-step explanation:
The rate of change of the sales S(x) with respect to the amount of money spent on advertising x is then the derivative of S(x) with respect to x. What we have to calculate is S'(x).
We know that the derivative of is
(where a is a constant), and the derivative of a sum is the sum of the derivatives, so we can calculate the derivative of each term independently:
S'(x)=(−0.002x3 + 0.4x2 + 9x + 500)'=(−0.002)(3)x2 + (0.4)(2)x + 9
Which means:
S'(x)=-0.006x2+0.8x+9
Answer:
y = + 2
Step-by-step explanation:
The y-intercept of the line is (0,2)
The slope of the line is
We derive the slope of a line by dividing the change in y by the change in x
So,
=
y - 2 =
The equation of the line therefore is;
y = + 2