Find the Quotient and Simplify $\frac { x - 8 } { - 5 - x } \div \frac { x ^ { 2 } + 7 x - 8 } { x ^ { 2 } + 13 x + 40 }$

question 132

Multiple Choice

Find the quotient and simplify.
- $\frac { x - 8 } { - 5 - x } \div \frac { x ^ { 2 } + 7 x - 8 } { x ^ { 2 } + 13 x + 40 }$

• A) \(- \frac { x - 8 } { x - 1 }\)
• B) \(\frac { x + 8 } { x - 1 }\)
• C) \(- \frac { ( x - 8 ) ( x + 8 ) } { ( x + 5 ) ^ { 2 } }\)
• D) \(- \frac { x + 8 } { x - 1 }\)

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Definitions:

Act Utilitarianism

A form of utilitarianism that assesses each separate act according to whether it maximizes pleasure or minimizes pain, focusing on the consequences of individual actions.

Utilitarian Ethic

A moral philosophy that evaluates the ethical worth of an action based on its consequences, specifically aiming to maximize overall happiness and minimize suffering.

General Welfare

A concept referring to the health, happiness, and fortunes of a person or group.

Consequentialism Critics

Those who critique consequentialism, a moral theory that judges the rightness or wrongness of an action based on its outcomes.