Question
Which of the following ordered pairs is part of the solution set for the equation y=5x2−2 ?
(1 point)
Responses
(−1,5)
left parenthesis negative 1 comma 5 right parenthesis
(−1,3)
left parenthesis negative 1 comma 3 right parenthesis
(1,5)
left parenthesis 1 comma 5 right parenthesis
(−1,43)
(1 point)
Responses
(−1,5)
left parenthesis negative 1 comma 5 right parenthesis
(−1,3)
left parenthesis negative 1 comma 3 right parenthesis
(1,5)
left parenthesis 1 comma 5 right parenthesis
(−1,43)
Answers
GPT 3.5
To find the ordered pairs that are part of the solution set, we substitute the x-coordinate of each ordered pair into the equation and check if the resulting y-coordinate matches.
For the equation y = 5x^2 - 2,
For (−1,5):
Substituting x = -1 into the equation: y = 5(-1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3, which is not equal to 5.
For (−1,3):
Substituting x = -1 into the equation: y = 5(-1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3, which is equal to 3.
For (1,5):
Substituting x = 1 into the equation: y = 5(1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3, which is not equal to 5.
For (−1,43):
Substituting x = -1 into the equation: y = 5(-1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3, which is not equal to 43.
Therefore, the only ordered pair that is part of the solution set for the equation y = 5x^2 - 2 is (−1,3).
For the equation y = 5x^2 - 2,
For (−1,5):
Substituting x = -1 into the equation: y = 5(-1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3, which is not equal to 5.
For (−1,3):
Substituting x = -1 into the equation: y = 5(-1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3, which is equal to 3.
For (1,5):
Substituting x = 1 into the equation: y = 5(1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3, which is not equal to 5.
For (−1,43):
Substituting x = -1 into the equation: y = 5(-1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3, which is not equal to 43.
Therefore, the only ordered pair that is part of the solution set for the equation y = 5x^2 - 2 is (−1,3).