Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 14 x - 54 } { ( x - 1 ) ( x - 9 ) }$$

question 133

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 14 x - 54 } { ( x - 1 ) ( x - 9 ) }$$

• A) \(\frac { 4 } { x - 1 } + \frac { 10 } { x - 9 }\)
• B) \(\frac { 5 } { x - 1 } + \frac { - 9 } { x - 9 }\)
• C) \(\frac { 13 } { x - 1 } + \frac { 1 } { x - 9 }\)
• D) \(\frac { 5 } { x - 1 } + \frac { 9 } { x - 9 }\)

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Definitions:

Mergers

The combination of two or more companies into one entity, often to enhance market share and reduce competition.

Celler-Kefauver Act

A U.S. law enacted in 1950, aimed at preventing anti-competitive mergers and acquisitions that could create monopolies or reduce competition.

Clayton Act

A U.S. antitrust law enacted in 1914, aimed at preventing anticompetitive practices, such as price discrimination and monopolies, not covered by the Sherman Act.

Sherman Act

A foundational statute in U.S. antitrust law prohibiting monopolistic behaviors and promoting competitive markets.