Write the Form of the Partial Fraction Decomposition of the Rational

question 195

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression. $\frac { 6 x - 1 } { x ( x - 4 ) }$

• A) \(\frac { A x + B } { x } + \frac { C x + D } { x + 4 }\)
• B) \(\frac { A } { x } - \frac { B } { x + 4 }\)
• C) \(\frac { A } { x } + \frac { B x + C } { x + 4 }\)
• D) \(\frac { A } { x } + \frac { B } { x ^ { 2 } } + \frac { C } { x - 4 }\)
• E) \(\frac { A } { x } + \frac { B } { x - 4 }\)

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Definitions:

Demographic Transition Theory

A theory describing the transition from high birth and death rates to lower birth and death rates as a country develops from a pre-industrial to an industrialized economic system.

Crude Death Rate

The measure of the number of deaths in a given population, usually expressed as the number of deaths per 1,000 individuals per year.

Crude Birth Rate

A demographic measure representing the number of live births per 1,000 people in a population within a given year.

Capital Accumulation

The process of acquiring additional assets or wealth, particularly for reinvestment with the aim of generating further economic growth.