Question

Which of the following ordered pairs is part of the solution set for the equation y=5x^2−2 ?

(1 point)
Responses

(−1,5)

(1,5)

(−1,43)

(−1,3)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if an ordered pair is part of the solution set for the equation, we substitute the given values into the equation and check if the equation is true.

For the ordered pair (-1,5), we substitute x=-1 and y=5 into the equation:

5(-1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3

So, the equation is not true for the ordered pair (-1,5).

For the ordered pair (1,5), we substitute x=1 and y=5 into the equation:

5(1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3

So, the equation is not true for the ordered pair (1,5).

For the ordered pair (-1,43), we substitute x=-1 and y=43 into the equation:

5(-1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3

So, the equation is not true for the ordered pair (-1,43).

For the ordered pair (-1,3), we substitute x=-1 and y=3 into the equation:

5(-1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3

So, the equation is true for the ordered pair (-1,3).

Therefore, the ordered pair (-1,3) is part of the solution set for the equation y = 5x^2 - 2.