Simplify the Rational Expression $\frac { x + 3 } { x ^ { 2 } + 9 }$

question 8

Multiple Choice

Simplify the rational expression. If the rational expression cannot be simplified, so state.
- $\frac { x + 3 } { x ^ { 2 } + 9 }$

• A) \(\frac { 1 } { x - 3 }\)
• B) \(\frac { 1 } { x + 3 }\)
• C) cannot be simplified
• D) \(\frac { 1 } { 3 }\)

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Definitions:

Probability Density Function

A probability density function is a function that describes the probability of a random variable taking on certain values, used for continuous variables where the probability of any single value is zero.

Normal Approximation

A mathematical method used to approximate the binomial distribution with the normal distribution when the sample size is large and the probability of success is not too close to 0 or 1.

Binomial Distribution

A probability distribution describing the number of successes in a fixed number of binary, independent trials given a specific success probability.

Random Sample

A group selected from a broader population where every individual has the same likelihood of being chosen.