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Mathematics

1 answer:

fomenos3 years ago

7 0

5. y = -3 x - 8

6. y = - 1/2 x + 1

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Matthew is 7 years older than twice the age of his sister. If Matthew is 13, how old is his sister?

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Let sister be s. Matthew, M

Matthew is 7years older than twice the age of his sister

M = 7 + 2s

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13 - 7 = 2s

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6/2 = 2s/2

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What is the simplified form of the quantity of x plus 3, all over 4 + the quantity of x plus 2, all over 4 ? (2 points) the quan

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ANSWER

$\frac{2x + 5}{4}$

EXPLANATION

We want to simplify

$\frac{x + 3}{4} + \frac{x + 2}{4}$

The fractions have the same denominator so we write one denominator and add the numerators to obtain,

$\frac{x + 3 + x + 2}{4}$

Regroup in the denominator to get,

$\frac{x + x + 3 + 2}{4}$

This simplifies to;

$\frac{2x + 5}{4}$