Question

which of the following ordered pairs is part of the equation y=5x^2-2?

(1,5)
(-1,43)
(-1,5)
(-1,3)

Answer 1

To determine which of the ordered pairs is part of the equation \( y = 5x^2 - 2 \), we need to substitute the x-values of each pair into the equation and see if we get the corresponding y-values.

1. For the ordered pair \((1, 5)\):
\[
y = 5(1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3
\]
This does not match \( y = 5 \).

2. For the ordered pair \((-1, 43)\):
\[
y = 5(-1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3
\]
This does not match \( y = 43 \).

3. For the ordered pair \((-1, 5)\):
\[
y = 5(-1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3
\]
This does not match \( y = 5 \).

4. For the ordered pair \((-1, 3)\):
\[
y = 5(-1)^2 - 2 = 5(1) - 2 = 5 - 2 = 3
\]
This matches \( y = 3 \).

The correct ordered pair that is part of the equation \( y = 5x^2 - 2 \) is \((-1, 3)\).