Use a Graphing Calculator to Solve the Nonlinear System $$\begin{array} { l } y = \ln ( 3 x - 2 ) \\x ^ { 2 } + 3 y ^ { 2 } = 7\end{array}$$

question 335

Multiple Choice

Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth.
- $$\begin{array} { l } y = \ln ( 3 x - 2 ) \\x ^ { 2 } + 3 y ^ { 2 } = 7\end{array}$$

• A) \(\{ ( 0.74 , - 1.47 ) , ( 1.73,1.16 ) \}\)
• B) \(\{ ( 5.25,2.62 ) \}\)
• C) \(\{ ( 1.73 , - 1.16 ) , ( 0.74,1.47 ) \}\)
• D) \(\{ ( 0.77,1.46 ) , ( - 0.59 , - 1.49 ) \}\)

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Definitions:

Confidence Interval

A sweep of values, pulled from statistical evaluations of samples, likely to carry the value of a hidden population parameter.

Finite Population

A population set with a limited number of elements or members, making it possible to enumerate its elements.

Sample Size

The total count of individual pieces of data used in a statistical analysis, reflecting the amount of information included in the study.

Confidence Limits

The upper and lower bounds of a confidence interval, typically set around a sample statistic, defining the range within which the true population parameter is expected to lie with a specified level of confidence.