A Nonlinear System Is Given, Along with the Graphs of Both

question 483

Multiple Choice

A nonlinear system is given, along with the graphs of both equations in the system. Determine if the points of
intersection specified on the graph are solutions of the system by substituting directly into both equations.
- $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 25 \\2 y + x = 5\end{array}$$

• A) Yes
• B) \(\mathrm { No }\)

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Definitions:

Total Revenue

The overall amount of money generated by a business from selling its goods or services, without subtracting any costs.

Price Elasticity

A measure of the responsiveness of the quantity demanded or supplied of a good to a change in its price, indicating how changes in price affect consumer demand or supply levels.

Linear Demand Curve

Represents a straight-line graph which shows the inverse relationship between the price of an item and the quantity demanded, assuming other factors remain constant.

Price Elasticity

An assessment of the responsiveness of the quantity demanded to price changes of a good.