Write the Partial Fraction Decomposition of the Rational Expression $\frac { - 3 x ^ { 2 } - 3 x + 27 } { x ^ { 2 } ( x + 3 ) }$

question 262

Multiple Choice

Write the partial fraction decomposition of the rational expression. $\frac { - 3 x ^ { 2 } - 3 x + 27 } { x ^ { 2 } ( x + 3 ) }$

• A) \(\frac { 1 } { x + 3 } + \frac { 9 } { x ^ { 2 } }\)
• B) \(\frac { 1 } { x + 3 } - \frac { 4 } { x } + \frac { 2 } { x ^ { 2 } }\)
• C) \(\frac { 1 } { x + 3 } - \frac { 4 } { x } + \frac { 9 } { x ^ { 2 } }\)
• D) \(\frac { 1 } { x + 3 } + \frac { 4 } { x } - \frac { 9 } { x ^ { 2 } }\)
• E) \(\frac { - 3 } { x + 3 } - \frac { 3 } { x ( x + 3 ) } + \frac { 27 } { x ^ { 2 } ( x + 3 ) }\)

Understand the concepts and applications of time studies in work measurement.

Identify the components that establish standard time for a task.

Distinguish between different time study techniques and their uses.

Recognize the significance of allowances and performance ratings in setting labor standards.

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Definitions:

Weighted Mean

An average where each data point contributes proportionally to the total based on its assigned weight, reflecting its importance.

Median

A measure of central tendency that identifies the middle value in a dataset when the numbers are arranged in ascending or descending order.

Central Tendency

A measure that represents the center point or typical value of a dataset.

Average

A statistical measure that determines the central tendency of a set of numbers by dividing the sum of all numbers by the count of the numbers.