Write the Partial Fraction Decomposition of the Rational Expression $\frac { 50 - 7 x } { x ( x - 5 ) ^ { 2 } }$

question 179

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $\frac { 50 - 7 x } { x ( x - 5 ) ^ { 2 } }$

• A) \(\frac { 2 } { x } + \frac { - 2 } { x - 5 } + \frac { 3 } { ( x - 5 ) ^ { 2 } }\)
• B) \(\frac { 2 } { x } + \frac { 3 } { x - 5 } + \frac { - 2 } { ( x - 5 ) ^ { 2 } }\)
• C) \(\frac { 2 } { x } + \frac { - 2 } { x - 5 } + \frac { 6 } { ( x - 5 ) ^ { 2 } }\)
• D) \(\frac { - 2 } { x } + \frac { 2 } { x - 5 } + \frac { 3 } { ( x - 5 ) ^ { 2 } }\)

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Definitions:

Transfer Price

The price charged for goods or services transferred between departments or divisions of the same company.

Variable Cost

Costs that vary directly with the level of production or sales volume, increasing as business activity rises and decreasing as it falls.

Transfer Price

The price at which goods or services are sold between divisions within the same company.

Variable Cost

Expenses that vary directly with the level of production or sales volume, such as raw materials and labor.