Answer:
Part A - 4x + 8 dollars
Part B - $45
Step-by-step explanation:
Answer:
The vertex is at (1, -108).
Step-by-step explanation:
We have the function:

And we want to find its vertex point.
Note that this is in factored form. Hence, our roots/zeros are <em>x</em> = 7 and <em>x</em> = -5.
Since a parabola is symmetric along its vertex, the <em>x-</em>coordinate of the vertex is halfway between the two zeros. Hence:

To find the <em>y-</em>coordinate, substitute this back into the function. Hence:

Therefore, our vertex is at (1, -108).
Answer:
You're answer has be written as an inequality, therefore it would be;
=> p ≥ -17
Hope this helps!
Let the length = x
2 lengths are 2x.
Then you have 400 - 2x for both widths, so the width is 200 - x.
The are if the rectangle is
y = x(200 - x)
y = 200x - x^2
y = -x^2 + 200x
Take the first derivative ans set equal to zero to find a maximum value.
y' = -2x + 200
-2x + 200 = 0
-2x = -200
x = 100
Since the side of the rectangle is 100, all sides measure 100 ft, and you have a square.
The maximum area is 100 ft * 100 ft = 10,000 ft.