Find the expression that is equivalent to the given rational expression. -11k +3 13k +6 O 11k-3 -13k-6 O-11k-3 13k-6 O11k+3 -13k + 6 O-11k +3 13k-6

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### QUESTION 14

**Find the expression that is equivalent to the given rational expression.**

Given Expression:
\[
\frac{-11k + 3}{13k + 6}
\]

Options:

1. \[
\frac{11k - 3}{-13k - 6}
\]

2. \[
\frac{-11k - 3}{13k - 6}
\]

3. \[
\frac{11k + 3}{13k - 6}
\]

4. \[
\frac{-11k + 3}{13k - 6}
\]

### Instructions:
Click "Save and Submit" to save and submit your answer. Click "Save All Answers" to save all answers.

(Note: The first option is selected, as indicated by the blue highlighted circle.)

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**Explanation of Options:**

1. **Option 1:**
   - Numerator: \( 11k - 3 \)
   - Denominator: \( -13k - 6 \)

2. **Option 2:**
   - Numerator: \( -11k - 3 \)
   - Denominator: \( 13k - 6 \)

3. **Option 3:**
   - Numerator: \( 11k + 3 \)
   - Denominator: \( 13k - 6 \)

4. **Option 4:**
   - Numerator: \( -11k + 3 \)
   - Denominator: \( 13k - 6 \) 

The objective is to determine which of the options, when simplified or rearranged, gives a ratio equivalent to the original expression provided.
Transcribed Image Text:### QUESTION 14 **Find the expression that is equivalent to the given rational expression.** Given Expression: \[ \frac{-11k + 3}{13k + 6} \] Options: 1. \[ \frac{11k - 3}{-13k - 6} \] 2. \[ \frac{-11k - 3}{13k - 6} \] 3. \[ \frac{11k + 3}{13k - 6} \] 4. \[ \frac{-11k + 3}{13k - 6} \] ### Instructions: Click "Save and Submit" to save and submit your answer. Click "Save All Answers" to save all answers. (Note: The first option is selected, as indicated by the blue highlighted circle.) Below the question, there is a toolbar with icons such as a folder, ruler, calculator, and various browser tabs. The search bar at the bottom left shows the text "Type here to search." **Explanation of Options:** 1. **Option 1:** - Numerator: \( 11k - 3 \) - Denominator: \( -13k - 6 \) 2. **Option 2:** - Numerator: \( -11k - 3 \) - Denominator: \( 13k - 6 \) 3. **Option 3:** - Numerator: \( 11k + 3 \) - Denominator: \( 13k - 6 \) 4. **Option 4:** - Numerator: \( -11k + 3 \) - Denominator: \( 13k - 6 \) The objective is to determine which of the options, when simplified or rearranged, gives a ratio equivalent to the original expression provided.
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