Use the Quadratic Formula to Solve For $y$ $14 x ^ { 2 } - 10 x y + 9 y ^ { 2 } - 41 = 0$

question 477

Multiple Choice

Use the Quadratic Formula to solve for $y$ . $14 x ^ { 2 } - 10 x y + 9 y ^ { 2 } - 41 = 0$

• A) \(y = \frac { 14 x \pm \sqrt { 100 x ^ { 2 } + 36 \left( x ^ { 2 } - 9 \right) } } { - 18 }\)
• B) \(y = \frac { 14 x \pm \sqrt { 100 x ^ { 2 } + 36 \left( x ^ { 2 } + 9 \right) } } { 18 }\)
• C) \(y = \frac { 10 x \pm \sqrt { 100 x ^ { 2 } + 36 \left( 14 x ^ { 2 } - 41 \right) } } { - 18 }\)
• D) \(y = \frac { 10 x \pm \sqrt { 100 x ^ { 2 } + 36 \left( 14 x ^ { 2 } + 41 \right) } } { 18 }\)
• E) \(y = \frac { 10 x \pm \sqrt { 100 x ^ { 2 } - 36 \left( 14 x ^ { 2 } - 41 \right) } } { 18 }\)

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Definitions:

ANOVA Methods

Statistical techniques used to compare the means of three or more samples, investigating whether at least one sample mean differs from the others.

Random Samples

Random samples are selections made in such a way that each member of the population has an equal chance of being included, ensuring the sample's representativeness.

Statistically Significant

An observed effect so large that it would rarely occur by chance, indicating that the findings from the data are likely not due to random variation.

ANOVA Null Hypothesis

In Analysis of Variance, the null hypothesis that states there are no mean differences among the groups being compared.