What is the quotient?

StartFraction 3 y + 2 Over 3 y EndFraction divided by StartFraction 6 y squared + 4 y Over 3 y + 2 EndFraction

StartFraction 1 Over 2 y EnDfraction

StartFraction 3 y + 2 Over 6 y squared EndFraction

StartFraction 1 Over y EndFraction

StartFraction 2 (3 y + 2) Over 3 EndFraction

Respuesta :

Answer:

Its B on Edge, or 3y+2/6y^2

i just took the test.

The quotient of the given function is [tex]\frac{3y+2}{6y^2}[/tex]

Given the functions:

  • [tex]\frac{3y+2}{3y} \div\frac{6y^2+4y}{3y+2}[/tex]

This can be written as:

  • [tex]=\frac{3y+2}{3y} \times \frac{3y+2}{6y^2+4y}\\=\frac{3y+2}{3y} \times \frac{3y+2}{2y(3y+2)}\\[/tex]

Canceling out the like terms;

  • [tex]=\frac{3y+2}{3y(2y)}\\= \frac{3y+2}{6y^2}[/tex]

Hence the quotient of the given function is [tex]\frac{3y+2}{6y^2}[/tex]

Learn more on quotient of functions here:  https://brainly.com/question/8343420