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ruslelena [56]
2 years ago
6

Philip and Laura want to build a pool in their backyard. The length and width of the pool can be represented by the equation

Mathematics
1 answer:
lakkis [162]2 years ago
3 0

The area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet

<h3>Area of a rectangle</h3>

Givene the dimensiion of Philip and Laura's pool as:

Length = (x - 5)

Width  = (3x + 2)

Given the area expressed as:

f(x) = (x - 5)(3x + 2)feet

Taking the product will give:

f(x) = 3x^2 + 2x -15x - 10

f(x) = 3x^2 - 13x - 10

Hence the area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet

Learn more on area of rectangle here: brainly.com/question/25292087

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In this question, a piece-wise function is asked to be graphed.

Piece-wise function:

A piece-wise function is a function that has different definitions, depending on the input.

In this question, the function has three different definitions:

When x is less than -2, the definition is:

g(x) = \frac{x}{2} + 3

When x is between -2 and 3, inclusive, the function is:

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The graphic is given by the image at the end here, with the closed circle indicating the inclusive on the intervals.

For another example of a piece-wise graphic, you can check brainly.com/question/24324639.

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