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3 years ago

Simplify the rational expression.

Mathematics

1 answer:

o-na [289]3 years ago

7 0

Answer:

$\large\boxed{\dfrac{x^2-4x-32}{x+4}=x-8}$

Step-by-step explanation:

$\dfrac{x^2-4x-32}{x+4}=\dfrac{x^2+4x-8x-32}{x+4}=\dfrac{x(x+4)-8(x+4)}{x+4}\\\\=\dfrac{(x+4)(x-8)}{x+4}\\\\\text{canceled}\ (x+4)\\\\=x-8$

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Answer:

The equations represent the situation is $y=2x+6$ and $y=5+3x$ .

Step-by-step explanation:

Consider the provided information.

First convert the statement into mathematical representation.

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y, is equal to twice the sum of a smaller number and 3.

This information can be written as: $y=2(x+3)$

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The larger number is also equal to 5 more than 3 times the smaller number.

This information can be written as: $y=5+3x$

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