Solve the System by the Substitution or Elimination Method $$\left( \begin{array} { l } y = - x ^ { 2 } + 2 \\y = x ^ { 2 } - 1\end{array} \right)$$

question 215

Multiple Choice

Solve the system by the substitution or elimination method. $$\left( \begin{array} { l } y = - x ^ { 2 } + 2 \\y = x ^ { 2 } - 1\end{array} \right)$$

• A) \(\left( - \frac { \sqrt { 3 } } { 2 } , \frac { 1 } { 2 } \right) , \left( \frac { \sqrt { 3 } } { 2 } , \frac { 1 } { 2 } \right)\)
• B) \(\left( - \frac { \sqrt { 6 } } { 2 } , \frac { 1 } { 2 } \right) , \left( \frac { \sqrt { 6 } } { 2 } , \frac { 1 } { 2 } \right)\)
• C) \(\left( - \frac { \sqrt { 6 } } { 2 } , \frac { 3 } { 2 } \right) , \left( \frac { \sqrt { 6 } } { 2 } , \frac { 3 } { 2 } \right)\)
• D) \(\left( - \frac { \sqrt { 6 } } { 2 } , - \frac { 1 } { 2 } \right) , \left( \frac { \sqrt { 6 } } { 2 } , - \frac { 1 } { 2 } \right)\)
• E) \(\left( - \frac { \sqrt { 3 } } { 2 } , - \frac { 1 } { 2 } \right) , \left( \frac { \sqrt { 3 } } { 2 } , - \frac { 1 } { 2 } \right)\)

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Definitions:

1788

The year when the United States Constitution was ratified by the necessary nine states, marking the founding of the United States government as it is known today.

Social Structure

The organized pattern of relationships and social institutions that together compose society, including roles, classes, and social hierarchies.

Republican Society

A social order that emphasizes the welfare of the community and operates on principles of democracy and the rule of law, often in contrast to a monarchy or dictatorship.

Common Good

The benefit or interests of all participants in a society, considered as a guiding principle for governance and public policy.