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 (1,5) left parenthesis 1 comma 5 right parenthesis (−1,3) left parenthesis negative 1 comma 3 right parenthesis (−1,43)
To determine which of the ordered pairs is part of the solution set, we substitute the x-coordinate into the equation and check if it satisfies the equation.
For the equation y = 5x^2 - 2, let's substitute the x-coordinate of each ordered pair into the equation:
1) For (-1, 5):
y = 5(-1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3
Since y = 3 and (-1, 5) is not one of the given ordered pairs, it is not part of the solution set.
2) For (1, 5):
y = 5(1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3
Since y = 3 and (1, 5) is one of the given ordered pairs, it is part of the solution set.
3) For (-1, 3):
y = 5(-1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3
Since y = 3 and (-1, 3) is one of the given ordered pairs, it is part of the solution set.
4) For (-1, 43):
y = 5(-1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3
Since y = 3 and (-1, 43) is not one of the given ordered pairs, it is not part of the solution set.
Therefore, the ordered pairs that are part of the solution set are (1, 5) and (-1, 3).