Find All Values of X Satisfying the Given Conditions $y _ { 1 } = \frac { 6 } { x + 3 } , y _ { 2 } = \frac { 8 } { x - 3 } , y _ { 3 } = \frac { 14 } { x ^ { 2 } - 9 }$

question 384

Multiple Choice

Find all values of x satisfying the given conditions.
- $y _ { 1 } = \frac { 6 } { x + 3 } , y _ { 2 } = \frac { 8 } { x - 3 } , y _ { 3 } = \frac { 14 } { x ^ { 2 } - 9 }$ , and $y _ { 1 } - y _ { 2 } = y _ { 3 }$

• A) \(\{ - 28 \}\)
• B) \(\{ 28 \}\)
• C) \(\{ \sqrt { 43 } \}\)
• D) \(\{ 56 \}\)

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Definitions:

Sampling Distribution

A distribution indicating the probabilities of a statistic, which is calculated from a random sample.

Sample Proportion

The fraction of the sample that represents a particular attribute or characteristic.

Normal Probability Distribution

A bell-shaped distribution characterized by its mean and standard deviation, representing a continuous random variable.

Central Limit Theorem

A statistical theory that states that the distribution of sample means approximates a normal distribution as the sample size becomes larger, regardless of the population's distribution.