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Lynna [10]
3 years ago
7

Use factoring to simplify the expression x^2-x-6/x-3 assume that x does not equal 3

Mathematics
1 answer:
Gre4nikov [31]3 years ago
3 0
This works out beautifully.  You COULD use long division here, but since your numerator is a quadratic, your first instinct should be to try and factor it.  If you factor it, it works out to be (x - 3)(x + 2).  Now it just so happens that when you do that, the (x - 3) in the numerator will cancel with the (x - 3) in the denominator leaving you with one sad and lonely (x + 2) as your answer.
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The quotient of two less than a number and five is eight
postnew [5]

Answer:

The number is 42.

Step-by-step explanation:

Let x be the unknown number.

"two less than a number" is x - 2

Quotient means the result of a division.

(x - 2)/5 = 8

Multiply both sides by 5.

x - 2 = 40

Add 2 to both sides.

x = 42

Answer: The number is 42.

Check.

Start with 42. 2 less than 42 is 40. The quotient of 40 and 5 is 40/5 which is 8. The answer is correct.

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3 years ago
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Answer:

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Step-by-step explanation:you have a blessed thanksgiveing

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