Provide an appropriate response.
-You are graphing $2 x ^ { 2 } + 3 y ^ { 2 } 5$. You have drawn the graph of $2 x ^ { 2 } + 3 y ^ { 2 } = 5$. What single point will allow you to determine the correct region?
A) The origin
B) (3, 5)
C) (2, 3)
D) (2, 5)

Question

Provide an appropriate response.
-You are graphing $2 x ^ { 2 } + 3 y ^ { 2 } > 5$. You have drawn the graph of $2 x ^ { 2 } + 3 y ^ { 2 } = 5$. What single point will allow you to determine the correct region?
A) The origin
B) (3, 5)
C) (2, 3)
D) (2, 5)

Quizplus · Accepted Answer

The origin (0,0) is the most effective single point to test because if it satisfies the inequality, then the region containing the origin is the solution. Plugging (0,0) into $2x^2 + 3y^2 > 5$ simplifies to $0 > 5$, which is false, indicating the region not containing the origin is the solution.

Provide an Appropriate Response 2x2+3y2>52 x ^ { 2 } + 3 y ^ { 2 } > 52x2+3y2>5

Provide an Appropriate Response $2 x ^ { 2 } + 3 y ^ { 2 } > 5$