Rewrite the Rational Expression as an Equivalent Rational Expression with the Given

question 6

Multiple Choice

Rewrite the rational expression as an equivalent rational expression with the given denominator.
- $\frac { 6 } { x ^ { 2 } + 9 x } = \frac { } { x ( x + 9 ) ( x + 4 ) }$

• A) \(\frac { 6 ( x + 9 ) } { x ( x + 9 ) ( x + 4 ) }\)
• B) \(\frac { 6 ( x - 4 ) } { x ( x + 9 ) ( x + 4 ) }\)
• C) \(\frac { 6 } { x ( x + 9 ) ( x + 4 ) }\)
• D) \(\frac { 6 ( x + 4 ) } { x ( x + 9 ) ( x + 4 ) }\)

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Definitions:

Individual Selfishness

The tendency for individuals to prioritize their own interests over the welfare of others.

Self-indulgence

The act of allowing oneself to enjoy the pleasure of consuming goods, services, or experiences to an excessive or unwarranted degree.

Carl Rogers

A prominent American psychologist known for developing the client-centered therapy approach, emphasizing empathy, unconditional positive regard, and the importance of the self in psychological therapy.

Self-transcendence

A state in which individuals extend beyond the personal to encompass wider aspects of humanity, nature, or the cosmos.