Solve the System by the Substitution Method $$\begin{array} { l } y = - 2 x ^ { 2 } + 39 \\x = \sqrt { y }\end{array}$$

question 72

Multiple Choice

Solve the system by the substitution method. $$\begin{array} { l } y = - 2 x ^ { 2 } + 39 \\x = \sqrt { y }\end{array}$$

• A) \(\{ ( 13 , \sqrt { 13 } ) \}\)
• B) \(\{ ( \sqrt { 13 } , 13 ) \}\)
• C) \(\{ ( 0,0 ) ( \sqrt { 13 } , 13 ) \}\)
• D) \(\{ ( 0,1 ) , ( 0,13 ) \}\)

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Definitions:

Positive

Affirmative, constructive, or based on factual data; often used in reference to positive statements in economics which describe the world as it is, rather than how it should be.

Good Y

A general term used to represent a specific product or commodity in economic models or discussions.

Demand Function

A mathematical representation that describes the relationship between the quantity of a good that consumers are willing and able to purchase at various prices, holding other factors constant.

Income Elasticity

A measure of how much the demand for a product changes in response to a change in consumers' income.