Connect with knowledgeable individuals and find the best answers at IDNLearn.com. Get the information you need from our community of experts, who provide detailed and trustworthy answers.

Which expression is equal to (screenshot)

Which Expression Is Equal To Screenshot class=

Sagot :

Answer:

D. 6x + 4 / x² + 5x

Step-by-step explanation:

Dividing a fraction is same as multiplying its inverse.

Therefore,

  • (3x + 2)/(4x) × 8/(x + 5)
  • (3x + 2)/x × 2/(x + 5)
  • 2(3x + 2)/x(x + 5)
  • 6x + 4 / x² + 5x
  • Option D

Answer:

[tex]\textsf{D.} \quad \dfrac{6x+4}{x^2+5}[/tex]

Step-by-step explanation:

When dividing fractions, multiply the first fraction by the reciprocal of the second fraction:

[tex]\begin{aligned}\left(\dfrac{3x+2}{4x}\right) \div \left(\dfrac{x+5}{8}\right) & =\left(\dfrac{3x+2}{4x}\right) \times \left(\dfrac{8}{x+5}\right)\\\\& = \dfrac{(3x+2) \times 8}{4x \times (x+5)}\\\\& = \dfrac{8(3x+2)}{4x(x+5)}\\\\& = \dfrac{2(3x+2)}{x(x+5)}\\\\& = \dfrac{6x+4}{x^2+5}\\\end{aligned}[/tex]