Consider the Equation $6 x ^ { 2 } - 3 x y + 6 y ^ { 2 } - 25 = 0$

question 45

Multiple Choice

Consider the equation.​ $6 x ^ { 2 } - 3 x y + 6 y ^ { 2 } - 25 = 0$ ​ Without calculating,explain how to rewrite the equation so that it does not have an $$x y$$ -term.
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• A)To rewrite the equation \[6 x ^ { 2 } - 3 x y + 6 y ^ { 2 } - 25 = 0\] so that it does not have an \(x y\) -term,you can solve for \(y\) in terms of \(x\) by completing the square or using the Quadratic Formula.
• B)To rewrite the equation \(6 x ^ { 2 } - 3 x y + 6 y ^ { 2 } - 25 = 0\) so that it does not have an \(x y\) -term,you can solve for \(x\) in terms of \(y\) by completing the square or using the Quadratic Formula.
• C)To rewrite the equation \(6 x ^ { 2 } - 3 x y + 6 y ^ { 2 } - 25 = 0\) so that it has an \(x y\) -term,you can solve for \(y\) \(y\) in terms of \(x\) by taking square root or using the Quadratic Formula.
• D)To rewrite the equation \(6 x ^ { 2 } - 3 x y + 6 y ^ { 2 } - 25 = 0\) so that it has an \(x y\) -term,you can solve for \(x\) in terms of \(y\) by completing the square or using the Quadratic Formula.
• E)To rewrite the equation \(6 x ^ { 2 } - 3 x y + 6 y ^ { 2 } - 25 = 0\) so that it has an \(x y\) -term,you can solve for \(y\) in terms of \(x\) by completing the square or using the Quadratic Formula.

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Definitions:

Aggregate Demand Curve

A graphical representation showing the relationship between the overall price level in an economy and the total demand for goods and services at that price level.

Aggregate Demand Curve

A graphical representation that shows the total quantity of goods and services that all buyers in an economy (including consumers, businesses, and government) are willing and able to purchase at different price levels.

Nominal Income

The amount of income earned in current prices, without adjusting for inflation or deflation, representing the face value of wages, rents, interest, and profits.

Aggregate Supply Curve

A graphical representation showing the relationship between the overall price level and the total output produced by an economy.