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ella [17]
3 years ago
6

The larger of two numbers is 10 more than three times the smaller number. The larger number decreased by the smaller number is 8

0. What are the two numbers?
I need help getting the answer and I need all my questions answered by tomorrow
Mathematics
1 answer:
wolverine [178]3 years ago
5 0
1(larger)- 3x+10
2-x

3x+10-x=80
2x+10=80
2x=70
x= 35
35 and 115
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Answer:

1. P(x) ÷ Q(x)---> \frac{-3x + 2}{3(3x - 1)}

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Step-by-step explanation:

Given that:

1. P(x) = \frac{2}{3x - 1}

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Thus,

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Flip the 2nd function, Q(x), upside down to change the process to multiplication.

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2. P(x) + Q(x) = \frac{2}{3x - 1} + \frac{6}{-3x + 2}

Make both expressions as a single fraction by finding, the common denominator, divide the common denominator by each denominator, and then multiply by the numerator. You'd have the following below:

\frac{2(-3x + 2) + 6(3x - 1)}{(3x - 1)(-3x + 2)}

\frac{-6x + 4 + 18x - 6}{(3x - 1)(-3x + 2)}

\frac{-6x + 18x + 4 - 6}{(3x - 1)(-3x + 2)}

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3. P(x) - Q(x) = \frac{2}{3x - 1} - \frac{6}{-3x + 2}

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P(x)*Q(x) = \frac{2*6}{(3x - 1)(-3x + 2)}

P(x)*Q(x) = \frac{12}{(3x - 1)(-3x + 2)}

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