Perform the Indicated Operation Involving Rational Expressions $\frac { 2 x + 14 } { 11 y } \div \frac { x ^ { 2 } + 14 x + 49 } { x ^ { 2 } + 2 }$

question 28

Multiple Choice

Perform the indicated operation involving rational expressions. $\frac { 2 x + 14 } { 11 y } \div \frac { x ^ { 2 } + 14 x + 49 } { x ^ { 2 } + 2 }$

• A) \(\frac { 2 x ^ { 2 } + 4 } { x y + 7 y }\)
• B) \(\frac { x ^ { 2 } + 2 } { 11 x y + 77 y }\)
• C) \(\frac { 2 x - 4 } { 11 x y - 77 y }\)
• D) \(\frac { 2 x ^ { 2 } + 4 } { 11 x y + 77 y }\)

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Definitions:

Generation Times

The average time between the birth of parents and the birth of their offspring, which can vary significantly among different organisms.

K-selected Species

Species characterized by long gestation periods, few offspring, and a strategy focused on survival and longevity over reproduction.

Offspring

The direct descendants or young produced by an organism, either through sexual or asexual reproduction.