Solve the System Graphically $\left\{\begin{array}{l}y=2 x^{3}+10 x^{2}+8 x \\y=-\frac{1}{2} x^{2}+x+\frac{39}{2}\end{array}\right.$ A) $( 1,20 ) , ( - 3,12 ) , \left( - \frac { 13 } { 4 } , \frac { 351 } { 32 } \right)$

question 106

Multiple Choice

Solve the system graphically.
- $\left\{\begin{array}{l}y=2 x^{3}+10 x^{2}+8 x \\y=-\frac{1}{2} x^{2}+x+\frac{39}{2}\end{array}\right.$

• A) \(( 1,20 ) , ( - 3,12 ) , \left( - \frac { 13 } { 4 } , \frac { 351 } { 32 } \right)\)
• B) \(\left( 1 , \frac { 39 } { 2 } \right) , \left( - \frac { 5 } { 2 } , 11 \right) , \left( - 4 , - \frac { 3 } { 4 } \right)\)
• C) \(( 1,20 ) , ( - 3,12 )\)
• D) \(( 1,21 )\)

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Definitions:

Supply Increase

A rise in the quantity of a product or service that is available for purchase, which can affect market prices and demand levels.

Equilibrium Price

The price at which the quantity of a good or service demanded equals the quantity supplied, resulting in market equilibrium.

Surplus

An excess amount of something, often referring to goods, services, or resources that exceed what is needed or used.

Equilibrium Price

The price at which the quantity of a good or service demanded equals the quantity supplied, leading to a situation where there is no tendency for the price to change unless external factors intervene.