Graph the Equations to Determine Whether the System Has Any $$\left\{ \begin{array} { r } 2 x + y = 12 \\x ^ { 2 } + y ^ { 2 } = 36\end{array} \right.$$

question 37

Multiple Choice

Graph the equations to determine whether the system has any solutions. Find any solutions that exist. $$\left\{ \begin{array} { r } 2 x + y = 12 \\x ^ { 2 } + y ^ { 2 } = 36\end{array} \right.$$

• A) \(( 6,0 ) \left( - \frac { 18 } { 5 } , - \frac { 24 } { 5 } \right)\)
• B) \(( - 6,0 ) \left( \frac { 18 } { 5 } , \frac { 24 } { 5 } \right)\)
• C) \(( 6,0 ) \left( \frac { 18 } { 5 } , \frac { 24 } { 5 } \right)\)
• D) \(( - 6,0 ) \left( - \frac { 18 } { 5 } , - \frac { 24 } { 5 } \right)\)
• E)no solution exists

Interpret statistical results in the context of the research question.

Understand the role of sample size in statistical analysis.

Demonstrate knowledge of specific distributions such as Poisson and multinomial in real-world contexts.

Understand the significance of Joe Louis's 1938 victory over Max Schmeling and its impact on pre-World War II sentiments.

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Definitions:

Economies of Scale

Cost advantages that enterprises obtain due to their scale of operation, leading to a reduction in average costs per unit as output increases.

Diseconomies of Scale

The situation in which a business grows so large that the costs per unit increase, as opposed to economies of scale where costs per unit decrease with the increase in output.

Long-Run Average Cost Curve

A graphical representation that shows the minimum average cost at which any output level can be produced after all inputs are adjustable. It reflects economies and diseconomies of scale.

Economies of Scale

Cost advantages that enterprises obtain due to their scale of operation, leading to a reduced cost per unit of output.