Solve the Nonlinear System of Equations for Real Solutions $\left\{ \begin{aligned}y & = x ^ { 2 } - - 2 \\9 x - y & = 6\end{aligned} \right.$

question 7

Multiple Choice

Solve the nonlinear system of equations for real solutions.
- $\left\{ \begin{aligned}y & = x ^ { 2 } - - 2 \\9 x - y & = 6\end{aligned} \right.$

• A) \(( 8,62 ) , ( 1 , - 1 )\)
• B) \(( - 8,66 ) , ( 1,3 )\)
• C) \(( - 8,66 ) , ( - 1,3 )\)
• D) \(( 8,66 ) , ( 1,3 )\)

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Definitions:

Type I Error

The mistake of rejecting a true null hypothesis, or in other words, concluding that a difference or effect exists when it actually does not.

Decision Rule

A pre-determined guideline or criterion used to choose between multiple alternatives in the face of uncertainty, often based on statistical analysis.

P Value

The probability of observing the given result, or more extreme, by chance if the null hypothesis is true.

Critical Value

A threshold in hypothesis testing, which when exceeded or not met determines the outcome of the test, often leading to the rejection or acceptance of the null hypothesis.