Q19. Find the quotient.x+32x+6梅3x鈭�... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 11: Q19. (page 699)

Find the quotient.
$\frac{x + 3}{2 x + 6} 梅 \frac{3 x 鈭� 6}{4 x 鈭� 8}$

Short Answer

Expert verified

The final answer is $\frac{2}{3}$ .

Step by step solution

Step 1. Define a rational function.

A function of the form $y = \frac{p}{q}$ is called a rational function, where $p$ and $q$ are the polynomials and $q 鈮� 0$ .

Step 2. Define the quotient of two expressions ab and cd.

The quotient of two expressions $\frac{a}{b}$ and $\frac{c}{d}$ , where $b 鈮� 0$ and $d 鈮� 0$ , is given below.

$\frac{a}{b} 梅 \frac{c}{d} = \frac{a}{b} 脳 \frac{d}{c} = \frac{a c}{b d} 鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌� ........... (1)$

Step 3. Calculate the quotient x+32x+6÷3x−64x−8.

Use (1) to find the quotient $\frac{x + 3}{2 x + 6} 梅 \frac{3 x 鈭� 6}{4 x 鈭� 8}$ .

$\begin{matrix} \frac{x + 3}{2 x + 6} 梅 \frac{3 x 鈭� 6}{4 x 鈭� 8} = (\frac{x + 3}{2 x + 6}) 脳 (\frac{4 x 鈭� 8}{3 x 鈭� 6}) \\ = \frac{(x + 3) (4 x 鈭� 8)}{(2 x + 6) (3 x 鈭� 6)} \\ = \frac{(x + 3) 4 (x 鈭� 2)}{2 (x + 3) 3 (x 鈭� 2)} \\ = \frac{2}{3} \end{matrix}$

Therefore, the final answer is $\frac{2}{3}$ .

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91影视

Find the quotient.
$\frac{x + 3}{2 x + 6} 梅 \frac{3 x 鈭� 6}{4 x 鈭� 8}$

Short Answer

Step by step solution

Step 1. Define a rational function.

Step 2. Define the quotient of two expressions ab and cd.

Step 3. Calculate the quotient x+32x+6÷3x−64x−8.

One App. One Place for Learning.

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91影视

Find the quotient.x+32x+6梅3x鈭�64x鈭�8

Short Answer

Step by step solution

Step 1. Define a rational function.

Step 2. Define the quotient of two expressions ab and cd.

Step 3. Calculate the quotient x+32x+6÷3x−64x−8.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Calculus

Theoretical and Mathematical Physics

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Find the quotient.
$\frac{x + 3}{2 x + 6} 梅 \frac{3 x 鈭� 6}{4 x 鈭� 8}$