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Andreyy89
2 years ago
12

Find the difference. Express your answer in simplest form. z-7/z+8-(-2z-7)/z+8​

Mathematics
1 answer:
Levart [38]2 years ago
3 0

Answer:

z^2x+10zx+8z^2+73z+7z/(z+8)(z+8)

(IMAGE DOWN BELOW)

Step-by-step explanation: Simplify the expression.

Hope this helps you out! ☺

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At Happy Pizza, an 8-inch pizza costs $6.00 and a 16-inch pizza costs $14.00. Which pizza is a better deal?​
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Step-by-step explanation:

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2 years ago
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A rectangular package sent by a postal service can have a maximum combined length and girth (perimeter of a cross sectio) of 108
Morgarella [4.7K]

Answer:

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

Step-by-step explanation:

This is a optimization with restrictions problem.

The restriction is that the perimeter of the square cross section plus the length is equal to 108 inches (as we will maximize the volume, we wil use the maximum of length and cross section perimeter).

This restriction can be expressed as:

4x+L=108

being x: the side of the square of the cross section and L: length of the package.

The volume, that we want to maximize, is:

V=x^2L

If we express L in function of x using the restriction equation, we get:

4x+L=108\\\\L=108-4x

We replace L in the volume formula and we get

V=x^2L=x^2*(108-4x)=-4x^3+108x^2

To maximize the volume we derive and equal to 0

\dfrac{dV}{dx}=-4*3x^2+108*2x=0\\\\\\-12x^2+216x=0\\\\-12x+216=0\\\\12x=216\\\\x=216/12=18

We can replace x to calculate L:

L=108-4x=108-4*18=108-72=36

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

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3 years ago
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