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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 quantity of 2x plus 5, all over 4 the quantity of x squared plus 5x plus 6, all over 4 the quantity of x squared plus 5x plus 6, all over 16 the quantity of x plus 3, all over the quantity x plus 2

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ANSWER

[tex]\frac{2x + 5}{4}[/tex]

EXPLANATION

We want to simplify

[tex] \frac{x + 3}{4} + \frac{x + 2}{4} [/tex]

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

[tex] \frac{x + 3 + x + 2}{4} [/tex]

Regroup in the denominator to get,

[tex] \frac{x + x + 3 + 2}{4} [/tex]

This simplifies to;

[tex] \frac{2x + 5}{4} [/tex]