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 138

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

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Definitions:

Variable Costs

Expenses that change in proportion to the activity of a business.

Fixed Costs

Expenses that do not change with the level of output or sales in the short term.

Marginal Cost Curve

Graphical representation showing how the cost to produce one more unit changes as production increases, typically U-shaped due to economies and diseconomies of scale.

Average Total Cost Curve

A graphical representation showing the average cost per unit of output, calculated by dividing total costs (both fixed and variable) by the number of units produced.