Answer:

Step-by-step explanation:
According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one <em>c</em> within (a, b) such that f'(c) = 0.
We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a <em>c</em> in (5, 8) such that g'(c) = 0.
So, differentiate the function. We can take the derivative of both sides with respect to <em>x: </em>
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Differentiate:

Let g'(x) = 0:

Solve for <em>x</em>. First, divide everything by negative seven:

Factor:
<h3>

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Zero Product Property:

Solve for each case. Hence:

Since the first solution is not within our interval, we can ignore it.
Therefore:

Answer:
The actual building will be 7.5 m tall
Step-by-step explanation:
Given the scale model value of the building, we want to find the actual height of the building
From the scale model;
1 cm = 0.5m
Thus 15 cm will be 15 * 0.5 = 7.5 m
The lines on the triangles
Answer:
The answer is C, 281.25 cubic feet.
Step-by-step explanation:
First, you need to multiply all three sides of the rectangular prism.
10x4.5=45
45x6.25=281.25
So the answer is 281.25
Hope this helps!