A(b)(-c), for a=7, b = -2, c= 15

Mathematics

2 answers:

Alexus [3.1K]3 years ago

8 0

A(b)(-c) = 7 (-2)(-15) = 7 (30) = 210. 210 is your answer. Hope this helped!

-Dominant- [34]3 years ago

4 0

You just have to plug in the numbers and solve
7(-2)(-15)
7(30)
210

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Given:
l = length of the rectangle
w = width of the rectangle
P = 4 ft, constant perimeter

Because the given perimeter is constant,
2(w + l) = 4
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Part A.
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A = w*l
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This is a quadratic function or a parabola.

Part B.
Write the parabola in standard form.
A = -[l² - 2l]
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= -(l -1)² + 1
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The maximum value occurs at the vertex, so the maximum value of A = 1.
From equation (1), obtain
w = 2 - l = 2 - 1 = 1.
The maximum value of the area occurs when w=1 and l=1 (a square).

Answer:
The area is maximum when l=1 and w=1.
The geometric argument is based on the vertex of the parabola denoting maximum area.