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zloy xaker [14]
3 years ago
5

If f(x) = 2x2 – x – 6 and g(x) = x2 – 4 Find f(x) ÷ g(x)

Mathematics
1 answer:
Alexxx [7]3 years ago
5 0
When you divide these, factor both the numerator and the denominator to see if anything cancels out.  That's the best way to do it.  Easier than long division of polynomials, although it can also be done that way.  Factoring both the numerator and denominator gives you this:  \frac{(x-2)(2x+3)}{(x-2)(x+2)}.  The (x-2) factor cancels out in the top and bottom leaving you with just \frac{2x+3}{x+2}.  That's your answer.
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  -10 or (0, -10) as an ordered pair

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Answer:

Step-by-step explanation:

x          12x - 6         3x + 3        6(2x - 1)

1            6                  6                6

2            18                9                18

3             30              12                30

4 0
2 years ago
If T(x, y) = (x + 5, y + 6) and Pris the image of P, what is the rule for the translation in which P is the image of P'? T(x, y)
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Answer:

The translation is;

T(x,y)=(x-5,y-6)

Explanation:

Given the translation rule;

T(x,y)=(x+5,y+6)

when P' is the image of P.

For the inverse, when P is the image of P', the Translation rule would become;

\begin{gathered} x=x^{\prime}+5 \\ x^{\prime}=x-5 \\ y=y^{\prime}+6 \\ y^{\prime}=y-6 \\ So,\text{ the translation rule becomes;} \\ T(x,y)=(x-5,y-6) \end{gathered}

The translation is;

T(x,y)=(x-5,y-6)

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