Use the Graphical Method to Find All the Solutions of the System

question 139

Essay

Use the graphical method to find all the solutions of the system of equations. $$\left\{ \begin{array} { l } \frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1 \\y = 4 x ^ { 2 } - 4\end{array} \right.$$

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Definitions:

Fixed Manufacturing

Costs that do not vary with the level of production or sales, associated with the operation of a production facility.

Break-Even Level of Sales

The sales amount at which a company's total revenues equal its total expenses, resulting in no net profit or loss.

Variable Production Costs

Costs that fluctuate with the level of production output, including direct materials, direct labor, and variable manufacturing overhead.

Monthly Fixed Cost

Expenses that do not change regardless of the level of production or sales, such as rent or salaries, calculated on a monthly basis.