Question

Which of the following ordered pairs is part of the solution set for the equation y=5x2−2 ? (1 point) Responses
(1,5)
(−1,5)
(−1,3)
(−1,43)

Answer 1

To determine if an ordered pair is part of the solution set for the equation y=5x^2-2, we need to substitute the x and y values into the equation and see if it is true.

For the first ordered pair (1,5):
y = 5(1)^2 - 2
y = 5(1) - 2
y = 5 - 2
y = 3
The equation is not true, so (1,5) is not part of the solution set.

For the second ordered pair (-1,5):
y = 5(-1)^2 - 2
y = 5(1) - 2
y = 5 - 2
y = 3
The equation is not true, so (-1,5) is not part of the solution set.

For the third ordered pair (-1,3):
y = 5(-1)^2 - 2
y = 5(1) - 2
y = 5 - 2
y = 3
The equation is true, so (-1,3) is part of the solution set.

For the fourth ordered pair (-1,43):
y = 5(-1)^2 - 2
y = 5(1) - 2
y = 5 - 2
y = 3
The equation is not true, so (-1,43) is not part of the solution set.

Therefore, the ordered pair (-1,3) is the only one that is part of the solution set for the equation.