Simplify the Rational Expression $\frac { a + 3 } { a ^ { 2 } + 6 a + 9 }$

question 47

Multiple Choice

Simplify the rational expression. $\frac { a + 3 } { a ^ { 2 } + 6 a + 9 }$

• A) \(\frac { 1 } { 7 a + 3 } , a \neq - \frac { 3 } { 7 }\)
• B) \(\frac { 1 } { a ^ { 2 } + 9 } , a \neq 3\)
• C) \(\frac { 1 } { a + 9 } , a \neq - 9\)
• D) \(\frac { 1 } { a + 3 } , a \neq - 3\)
• E) \(\frac { 1 } { 3 a + 9 } , a \neq - \frac { 3 } { 1 }\)

Comprehend how the production possibilities frontier (PPF) illustrates efficiency, trade-offs, and opportunity costs.

Identify the causes and implications of shifts and shapes in the production possibilities frontier.

Distinguish between efficient, inefficient, and infeasible production levels.

Understand the impact of unemployment and economic growth on an economy's production capabilities.

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Definitions:

Decant

The process of gently pouring a liquid from one container to another, usually to separate it from precipitated solids or sediments.

Clarity

The quality of being easily understood, specifically in speech or writing, or the clearness in thought and expression.

CLIA-waived

Refers to tests that are simple laboratory examinations and procedures that have an insignificant risk of an erroneous result under the Clinical Laboratory Improvement Amendments.

Bilirubin

A yellow substance that is produced during the normal breakdown process of heme in vertebrates and is eliminated through the bile.