Find the Missing Numerator and Denominator $$\frac { ( x - 10 ) ( x - 8 ) } { ( x - 4 ) ( x - 7 ) } \cdot \frac { ? } { ? } = \frac { ( x - 8 ) ( x - 11 ) } { ( x - 4 ) ( x - 2 ) }$$

question 146

Multiple Choice

Find the missing numerator and denominator.
- $$\frac { ( x - 10 ) ( x - 8 ) } { ( x - 4 ) ( x - 7 ) } \cdot \frac { ? } { ? } = \frac { ( x - 8 ) ( x - 11 ) } { ( x - 4 ) ( x - 2 ) }$$

• A) \(\frac { ( x + 11 ) ( x - 7 ) } { ( x + 2 ) ( x - 10 ) }\)
• B) \(\frac { ( x - 11 ) ( x + 7 ) } { ( x - 2 ) ( x + 10 ) }\)
• C) \(\frac { ( x + 11 ) ( x + 7 ) } { ( x + 2 ) ( x + 10 ) }\)
• D) \(\frac { ( x - 11 ) ( x - 7 ) } { ( x - 2 ) ( x - 10 ) }\)

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Definitions:

Price Controls

Government-imposed limitations on the prices that can be charged for goods and services in a market.

Illegal Exchanges

Transactions that violate the law, such as the trade of banned substances or services.

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The cost per unit of gasoline, determined by various factors including crude oil prices, taxes, supply and demand, and refining costs.

Efficiency

The extent to which resources are used in the best way possible to produce goods and services, minimizing waste and costs.