Perform the Indicated Operation $\frac { 3 x } { x ^ { 2 } - 8 x + 15 } - \frac { 9 } { x ^ { 2 } - 8 x + 15 }$

question 282

Multiple Choice

Perform the indicated operation. Simplify if possible.
- $\frac { 3 x } { x ^ { 2 } - 8 x + 15 } - \frac { 9 } { x ^ { 2 } - 8 x + 15 }$

• A) \(\frac { 3 ( x + 3 ) } { ( x - 3 ) ( x - 5 ) }\)
• B) \(\frac { 3 } { x - 3 }\)
• C) \(\frac { 3 } { x - 5 }\)
• D) \(\frac { 3 ( x - 3 ) } { ( x + 3 ) ( x - 5 ) }\)

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Definitions:

Quantity Demanded

The total amount of goods or services that consumers are willing and able to purchase at a given price level.

Demand

The amount of a particular good or service that consumers are willing and able to purchase at various prices during a certain period of time.

Midpoint Formula

A more precise way of calculating percentages using the value halfway between P1 and P2 for the base in calculating the percentage change in price and the value halfway between Q1 and Q2 as the base for calculating the percentage change in quantity demanded.

Price Elasticity

A measure of how much the quantity demanded of a good responds to a change in the price of that good, indicating how sensitive consumers are to price changes.