Perform the Indicated Operation and Express Your Answer in Simplest $\frac { 8 } { x } - \frac { 7 x + 39 } { x ^ { 2 } + 5 x } + \frac { x } { x + 5 }$

question 122

Multiple Choice

Perform the indicated operation and express your answer in simplest form. $\frac { 8 } { x } - \frac { 7 x + 39 } { x ^ { 2 } + 5 x } + \frac { x } { x + 5 }$

• A) \(\frac { x ^ { 2 } + x + 1 } { x ( x + 5 ) }\)
• B) \(\frac { x + 1 } { x ( x + 5 ) }\)
• C) \(\frac { ( x + 1 ) ( x - 1 ) } { x ( x + 5 ) }\)
• D) \(\frac { x ^ { 2 } - x + 1 } { x ( x + 5 ) }\)
• E) \(\frac { x ^ { 2 } + x - 1 } { x ( x + 5 ) }\)

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Definitions:

Overallocated

A situation where resources are distributed or used beyond their optimal or sustainable capacity, often leading to depletion or inefficiency.

Underallocated

A situation where resources are not distributed or utilized efficiently, leading to potential wastage and unmet needs or demands.

Health Care Insurance

A contractual arrangement through which individuals or entities receive financial coverage or reimbursement for medical services.

Equilibrium Price

The market price at which the quantity of a good supplied equals the quantity demanded.