Use a Graphing Utility to Solve the System of Equations $$\left\{ \begin{array} { r } 3 x ^ { 3 } + y ^ { 2 } = 6 \\x ^ { 4 } y = 2\end{array} \right.$$

question 85

Multiple Choice

Use a graphing utility to solve the system of equations. Express the solution rounded to two decimal places.
- $$\left\{ \begin{array} { r } 3 x ^ { 3 } + y ^ { 2 } = 6 \\x ^ { 4 } y = 2\end{array} \right.$$

• A) \(x = 1.18 , y = 1.03 ; x = 1.07 , y = 1.52 ; x = - 0.91 , y = 2.88\)
• B) no solution
• C) \(x = 1.81 , y = 0.28 ; x = 0.20 , y = 2.45 ; x = - 0.20 , y = - 2.45\)
• D) \(x = 1.99 , y = 0.13 ; x = 1.04 , y = 1.70 ; x = - 0.91 , y = 2.95\)

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Groupthink

A psychological phenomenon occurring within a group of people, where the desire for harmony or conformity results in an irrational or dysfunctional decision-making outcome.

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The extent to which members of a group feel bonded and united towards achieving common goals or tasks.

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Choices made under uncertainty where the outcomes can include significant loss or failure.

Quality Circle

A small group of employees who work voluntarily on company time, typically one hour per week, to address work-related problems such as quality control, cost reduction, production planning and techniques, and even product design.