14. The length of a rectangle is 20 units more than its width. The area of the rectangle is x4 – 100. Which expression represents the width of the rectangle? A. x² + 10 because the area expression can be rewritten as (x² + 10) (x² – 10) which equals (x? + 10) ((x² + 10) – 20). B. x2 +30 because the area expression can be rewritten as (x² – 10) (x² + 10) which equals (x² – 10) ((x² + 30) – 20). - C. x2 10 because the area expression can be rewritten as - (x² – 10) (x² + 10) which equals (x2 – 10)((x² – 10) + 20). D. x2 – 30 because the area expression can be rewritten as (x2 + 10) (x² – 10) which equals (x? + 10) ((x² – 30) + 20).
14. The length of a rectangle is 20 units more than its width. The area of the rectangle is x4 – 100. Which expression represents the width of the rectangle? A. x² + 10 because the area expression can be rewritten as (x² + 10) (x² – 10) which equals (x? + 10) ((x² + 10) – 20). B. x2 +30 because the area expression can be rewritten as (x² – 10) (x² + 10) which equals (x² – 10) ((x² + 30) – 20). - C. x2 10 because the area expression can be rewritten as - (x² – 10) (x² + 10) which equals (x2 – 10)((x² – 10) + 20). D. x2 – 30 because the area expression can be rewritten as (x2 + 10) (x² – 10) which equals (x? + 10) ((x² – 30) + 20).
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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14. The length of a rectangle is 20 units more than its width. The area of the
rectangle is x4
– 100.
Which expression represents the width of the rectangle?
A. x² + 10 because the area expression can be rewritten as
(x² + 10) (x² – 10) which equals (x² + 10) ((x² + 10) – 20).
B. x² + 30 because the area expression can be rewritten as
(x² – 10) (x² + 10) which equals (x² – 10) ((x² + 30) – 20).
С. х?
- 10 because the area expression can be rewritten as
(x2 – 10) (x² + 10) which equals (x? – 10)((x² – 10) + 20).
D. x2 – 30 because the area expression can be rewritten as
(x2 + 10) (x² – 10) which equals (x² + 10) ((x² – 30) + 20).
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