Simplify the Complex Fraction $\frac { \left( \frac { 4 x ^ { 2 } } { x - 2 } \right) } { \left( \frac { 14 x } { 18 - 7 x - x ^ { 2 } } \right) }$

question 10

Multiple Choice

Simplify the complex fraction. $\frac { \left( \frac { 4 x ^ { 2 } } { x - 2 } \right) } { \left( \frac { 14 x } { 18 - 7 x - x ^ { 2 } } \right) }$

• A) \(- \frac { x + 9 } { 2 } , x \neq - 7 , x \neq 0 , x \neq 9\)
• B) \(- \frac { 2 x ( x + 9 ) } { 7 } , x \neq - 9 , x \neq 0 , x \neq 2\)
• C) \(\frac { 9 - x } { 7 } , x \neq - 2 , x \neq 0 , x \neq 7\)
• D) \(\frac { 7 x ( x - 9 ) } { 2 } , x \neq - 9 , x \neq - 2 , x \neq 0\)
• E) \(\frac { 4 x ( 9 - x ) } { 7 } , x \neq 0 , x \neq 7 , x \neq 9\)

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Saving

The act of setting aside money for future use, reducing current consumption.

Induced Consumption

Consumer spending that increases or decreases as a result of changes in income, as opposed to autonomous consumption that does not change with income.

Disposable Income

Income available to a household or individual after taxes have been paid, available for spending or saving.

Autonomous Consumption

The level of spending on goods and services that occurs even when income is zero, representing non-discretionary, baseline consumption.