Simplify the Expression $$2 x \sqrt { 3 x - 4 } + x ^ { 2 } \left( \frac { 1 } { 4 } \right) \frac { 1 } { \sqrt { 3 x - 4 } } ( 4 )$$

question 191

Multiple Choice

Simplify the expression. Do not rationalize the denominator.
- $$2 x \sqrt { 3 x - 4 } + x ^ { 2 } \left( \frac { 1 } { 4 } \right) \frac { 1 } { \sqrt { 3 x - 4 } } ( 4 )$$

• A) \(\frac { 7 x ^ { 2 } - 8 } { \sqrt { 3 x - 4 } }\)
• B) \(\frac { x ( 7 x - 4 ) } { \sqrt { 3 x - 4 } }\)
• C) \(\frac { x ( 7 x - 8 ) } { \sqrt { 3 x - 4 } }\)
• D) \(\frac { 7 x ^ { 2 } - 4 } { \sqrt { 3 x - 4 } }\)

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Definitions:

Null Hypothesis

A default hypothesis that there is no effect or difference, and any observed change in the data is due to random chance.

Confidence Interval

An interval estimate of a population parameter that provides a range of values which is likely to include the parameter of interest.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, describing how much individual data points differ from the mean.

Sample Mean

The average of a set of numerical values drawn from a sample of a population, used as an estimate of the population mean.