$\dfrac{3y}{y^2+7y+10}+\dfrac{2}{y+2}\\\\=\dfrac{3y}{(y+2)(y+5)}+\dfrac{2(y+5)}{(y+2)(y+5)}=\dfrac{3y+2(y+5)}{(y+2)(y+5)}\\\\=\dfrac{5y+10}{(y+2)(y+5)}=\dfrac{5(y+2)}{(y+2)(y+5)}=\boxed{\dfrac{5}{y+5}}$

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<em>Comment on rational expressions</em>

When writing ratios in plain text, it is imperative to put parentheses around numerators and denominators. (If the numerator is a product only, then parentheses are optional.)

Your expression might be properly written as ...

3y/(y^2 +7y +10) +2/(y+2)

As you have written it, it simplifies to ...

3(y/y)2 +7y +10 +2/y +2 = 3·2 +7y +2/y +12

= 7y +2/y +18

Please note, too, the exponentiation symbol (^).

6 0

3 years ago

What is the solution to the system of equations

Arada [10]

Answer:

(3,-2)

Step-by-step explanation:

Got it right!!

6 0

2 years ago

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3. 40% of x is 35. Write an equation. Then use your equation to find x.

MrRissso [65]

Answer: x = 87.5

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5 0

2 years ago

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A parallelogram has one angle that measures 80 degrees. What are the measures of the three other angles in the parallelogram?

san4es73 [151]

The opposite angle is also 80°. since consecutive angles must total 180, the other 2 angles are 100 each. 100+100+80+80=360, as needed for a parallelogram

6 0

3 years ago

Read 2 more answers