Simplify the Complex Fraction $\frac { \left( \frac { 3 } { x + 5 } \right) } { \left( \frac { 1 } { 2 x + 10 } + \frac { 7 } { x + 5 } \right) }$

question 69

Multiple Choice

Simplify the complex fraction. $\frac { \left( \frac { 3 } { x + 5 } \right) } { \left( \frac { 1 } { 2 x + 10 } + \frac { 7 } { x + 5 } \right) }$

• A) \(\frac { 21 } { x + 5 } , x \neq 5\)
• B) \(\frac { 6 } { 7 } , x \neq 5\)
• C) \(\frac { x + 5 } { 35 } , x \neq - 5\)
• D) \(\frac { 3 } { 7 ( x + 5 ) } , x \neq - 5\)
• E) \(\frac { 6 } { 15 } , x \neq - 5\)

Comprehend how shifts in Lorenz curves indicate changes in income inequality.

Recognize the role of non-cash transfers and government policies in affecting income distribution.

Assess the impact of individual qualities and external factors on earnings and income inequality.

Analyze the temporal aspect of income inequality and the significance of income mobility.

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Definitions:

Quantitative Variables

Variables that represent numerical amounts or quantities, which can be measured and expressed numerically.

Associated

Pertains to the connection or relationship between two or more variables or factors.

Response Variable

The outcome or variable of interest that is measured or observed in a study, experiment, or analysis to see how it is affected by explanatory variables.

Fuel Efficiency

The measure of how far a vehicle can travel per unit of fuel.