Perform the Indicated Operation $$\frac { 10 x - 4 } { x ^ { 2 } + 10 x + 21 } + \frac { 7 - 9 x } { x ^ { 2 } + 10 x + 21 }$$

question 282

Multiple Choice

Perform the indicated operation. Simplify if possible.
- $$\frac { 10 x - 4 } { x ^ { 2 } + 10 x + 21 } + \frac { 7 - 9 x } { x ^ { 2 } + 10 x + 21 }$$

• A) \(\frac { 1 } { x + 7 }\)
• B) \(\frac { 1 } { x + 3 }\)
• C) \(\frac { 1 } { x ^ { 2 } + 10 x + 21 }\)
• D) \(\frac { x - 3 } { x ^ { 2 } + 10 x + 21 }\)

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Definitions:

Metabolic Reaction

Biochemical processes that occur within living organisms to maintain life, including breaking down substances for energy and constructing new substances.

Chemical Work

The energy required to drive chemical reactions necessary for cellular processes.

Building a Protein

The process of translating mRNA into a polypeptide chain, which then folds into a functional protein.

Enzymes

Biological catalysts that speed up chemical reactions in living organisms without being consumed in the process.