Write the Form of the Partial Fraction Decomposition of the Rational

question 255

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression. $\frac { 5 x - 1 } { x ^ { 2 } ( x - 7 ) }$

• A) \(\frac { A } { x } + \frac { B } { x ^ { 2 } } + \frac { C x + D } { x - 7 }\)
• B) \(\frac { A } { x ^ { 2 } } + \frac { B } { x + 7 }\)
• C) \(\frac { A } { x ^ { 2 } } + \frac { B x + C } { x + 7 }\)
• D) \(\frac { A x + B } { x } + \frac { C x + D } { x + 7 }\)
• E) \(\frac { A } { x } + \frac { B } { x ^ { 2 } } + \frac { C } { x - 7 }\)

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Definitions:

Normally Distributed Populations

Refers to groups or sets of data that follow a normal distribution, characterized by a symmetric bell-shaped curve where most observations cluster around the mean.

Population Variances

A metric that quantifies the degree to which a set of values in a population varies.

Sampling Distribution

The probability distribution of a statistic based on a large number of samples drawn from a specific population.

Unequal-variances T-test

A statistical test used to compare the means of two groups that do not have the same variance.