Lin has two small baking pans, each shaped like a rectangular prism. A. Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil is 11\frac{1}{4}11
4
1

square inches. Its length is 4\frac{1}{2}4
2
1

inches. What is the width of the foil?

B. Lin’s second pan has a length of \frac{8}{3}
3
8

inches, a width of \frac{15}{4}
4
15

inches, and a height is \frac{3}{2}
2
3

inches. What is the volume of the second pan?

A. The width of the foil is
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inches. B. The volume of the second pan is
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cubic inches.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

step-by-step explanation:

the given 6 = w/p is equivalent to 6p = w, where w is the total area of the walls and p is the area covered by a single can of paint.

knowing that 6 cans of paint will be needed, 6p = w becomes 6(6) = w = 36.   this tells us that the total area to be painted is 36 square units.