Question
oes (–4, 4) make the equation y = x^2 − 5x true?
Answers
GPT-4o mini
To determine if the ordered pair \((-4, 4)\) makes the equation \(y = x^2 - 5x\) true, we need to substitute \(x = -4\) into the equation and see if the resulting \(y\) value matches \(4\).
Starting with the equation:
\[
y = x^2 - 5x
\]
Substituting \(x = -4\):
\[
y = (-4)^2 - 5(-4)
\]
Calculating \((-4)^2\):
\[
y = 16 - 5(-4)
\]
Calculating \(5(-4)\):
\[
y = 16 + 20
\]
Adding the values:
\[
y = 36
\]
Now we have \(y = 36\) when \(x = -4\). Since \(36\) does not equal \(4\), the ordered pair \((-4, 4)\) does not satisfy the equation \(y = x^2 - 5x\). Thus, the answer is **no**.
Starting with the equation:
\[
y = x^2 - 5x
\]
Substituting \(x = -4\):
\[
y = (-4)^2 - 5(-4)
\]
Calculating \((-4)^2\):
\[
y = 16 - 5(-4)
\]
Calculating \(5(-4)\):
\[
y = 16 + 20
\]
Adding the values:
\[
y = 36
\]
Now we have \(y = 36\) when \(x = -4\). Since \(36\) does not equal \(4\), the ordered pair \((-4, 4)\) does not satisfy the equation \(y = x^2 - 5x\). Thus, the answer is **no**.