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The Graph of Two Equations Along with the Points of Intersection

question 43

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The graph of two equations along with the points of intersection are given. Substitute the points of intersection into the
systems of equations. Are the points of intersection solutions to the system of equations (Y/N) ?
- The graph of two equations along with the points of intersection are given. Substitute the points of intersection into the systems of equations. Are the points of intersection solutions to the system of equations (Y/N) ? -    \begin{array} { l }  x ^ { 2 } + y ^ { 2 } = 25 \\ 2 y + x = 5 \end{array}  A)   \mathrm { No }  B)  Yes

x2+y2=252y+x=5\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 25 \\2 y + x = 5\end{array}

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Definitions:

Marginal Rate

A measure or rate of change of a variable (such as cost or benefit) as a result of a unit change in another variable.

Utility Function

A utility function is a mathematical representation of a consumer's preference structure, showing how different bundles of goods and services translate into levels of satisfaction or utility.

Exchange Equilibrium

Exchange equilibrium refers to a state in a market where the supply of goods is equal to the demand for goods, resulting in no excess supply or demand.

Perfect Competition

A market structure characterized by an infinite number of buyers and sellers, homogenous products, and no barriers to entry or exit, leading to price takers rather than price makers.

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