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3 years ago

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The graph of f(x) is shown. Over which interval on the x-axis is there a megative rate of change in the function?

1 answer:

ruslelena [56]3 years ago

5 0

Answer: A

Step-by-step explanation:

A negative rate of change means the graph is decreasing. Translating these terms, the question is asking on which interval is the graph decreasing. You read a graph from left to right. When you look at -2 to -1, the graph is decreasing. It doesn't increase at all.

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kumpel [21]

Answer:

side of 6.124 ft and height of 3.674 ft

Step-by-step explanation:

Let's s be the side of the square base and h be the height of the rectangular box.

The base and the roof would have an area of $s^2$ and cost of

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So the total cost for the material is

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$10sh = 450 - 6s^2$

$h = 45/s - 0.6s$

The volume of the shed has the following formula

$V = s^2h = s^2(45/s - 0.6s) = 45s - 0.6s^3$

To find the maximum value for V, we can take its first derivative, and set it to 0

$\frac{dV}{ds} = 45 - 1.2s^2 = 0$

$1.2s^2 = 45$

$s^2 = 45 / 1.2 = 37.5$

$s = \sqrt{37.5} = 6.124 ft$

h = 45/s - 0.6s = 3.674 ft

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