Determine the Two Equations Necessary to Graph the Hyperbola with a Graphing

question 75

Multiple Choice

Determine the two equations necessary to graph the hyperbola with a graphing calculator.
- $$\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 144 } = 1$$

• A) \(y = \frac { 12 \sqrt { x ^ { 2 } } - 7 } { 7 }\) and \(y = - \frac { 12 \sqrt { x ^ { 2 } } - 7 } { 7 }\)
• B) \(y = \frac { 7 \sqrt { x ^ { 2 } + 49 } } { 12 }\) and \(y = - \frac { 7 \sqrt { x ^ { 2 } + 49 } } { 12 }\)
• C) \(y = \frac { 12 \sqrt { x ^ { 2 } - 49 } } { 7 }\) and \(y = - \frac { 12 \sqrt { x ^ { 2 } - 49 } } { 7 }\)
• D) \(y = \frac { 7 \sqrt { x ^ { 2 } - 49 } } { 12 }\) and \(y = - \frac { 7 \sqrt { x ^ { 2 } - 49 } } { 12 }\)

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Definitions:

Labor Force

The total number of people who are employed and unemployed but seeking work, representing the available labor supply in an economy.

Income Inequality

The unequal distribution of income and wealth among individuals or groups within a society.

Consumption Patterns

The tendencies or habits of consumers in acquiring and using goods and services over time.

Economies Of Scale

A situation where the cost per unit of output decreases as the scale of production increases.