Question

In: Math

1. A manufacturing company manufactures a cardboard box with a square base and a height of...

1. A manufacturing company manufactures a cardboard box with a square base and a height of 15 inches. Suppose the equation x² +60x- 7,200 = 0 can be used to find the length and width of the base of the box, each measuring x inches.

Write the equation in factored form.

Use the zero product property to solve the equation. Show all the steps needed to find both answers.

Explain how the solution relates to this situation

2. City engineers decide to build a rectangular dog park that has an area of 3,600 square yards, where the length of the park is 10 more yards than twice its width. The equation x² +5x-1,800 = 0 can be used to find the width of the dog park.

Write the equation in factored form

Use the zero product property to solve the equation. Show all the steps needed to find both answers.

Explain how the solution relates to this situation.

3. A graphic designer uses a photo editing program to increase both the height and width of a square image by 3 inches. Suppose the equation x² +6x-55 = 0 can be used to find the height and width of the original image.

Write the equation in factored form.

Use the zero product property to solve the equation. Show all the steps needed to find both answers.

Explain how the solution relates to this situation.

Solutions

Expert Solution

Solution:

(1)

This is the equation in factored form.

Using zero product property

[NOT Acceptabe because of negative value].

So, the lenght and width of the squard base is 60 inches.

(2)

This is the equation in factored form.

Using zero product property

[NOT Acceptable because of negative value]

So, width of the park=40 yards

and length of thr park=10+(2*width)=10+2*40=10+80=90 yards

(3)

This is the equation in factored form.

Using zero product property

[NOT Acceptable]

So, height=5 inches

and width=5 inches.

milcah answered 1 year ago

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