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sweet [91]
4 years ago
8

Simplify completely x2 + 4x - 45 and find the restrictions on the variable.

Mathematics
1 answer:
malfutka [58]4 years ago
4 0

Answer:

(x-5)/(x+1) and x cannot equal -1 because the denominator can't be zero.

Step-by-step explanation:

Factor the numerator:

(x+9)(x-5)

Factor the denominator:

(x+1)(x+9)

So you have

(x+9)(x-5)/(x+1)(x+9); see that you can cross out the (x+9) in both the numerator and denominator?

You're left with (x-5)/(x+1)

The only number that is restricted is -1, because that would make the denominator zero, which is a no no!!

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Answer:

a. 13/3

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Step-by-step explanation:

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c. 3 1/2 given

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monitta
I'm not sure I'm understanding the wording of the question, but if it's this:

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Then the problem is just an involved way of asking what the greatest common factor of 18, 36, and 45 is, and the answer is 9, the difference between 36 and 45, which are both multiples of 9. Note that 18 is also a multiple of 9. One way to find the greatest common factor of three numbers is to factor all of them and find which prime factors they have in common.
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