Question
Does (0, 7) make the equation y = –2x2 − –51x − –7 true?
Answers
GPT-4o mini
To check if the point (0, 7) makes the equation \( y = -2x^2 - 51x - 7 \) true, we can substitute \( x = 0 \) into the equation and see if it equals \( y = 7 \).
Starting with the equation:
\[
y = -2x^2 - 51x - 7
\]
Substituting \( x = 0 \):
\[
y = -2(0)^2 - 51(0) - 7
\]
This simplifies to:
\[
y = 0 - 0 - 7
\]
\[
y = -7
\]
Now we check if this is equal to 7:
\[
-7 \neq 7
\]
Therefore, the point (0, 7) does not make the equation \( y = -2x^2 - 51x - 7 \) true.
Starting with the equation:
\[
y = -2x^2 - 51x - 7
\]
Substituting \( x = 0 \):
\[
y = -2(0)^2 - 51(0) - 7
\]
This simplifies to:
\[
y = 0 - 0 - 7
\]
\[
y = -7
\]
Now we check if this is equal to 7:
\[
-7 \neq 7
\]
Therefore, the point (0, 7) does not make the equation \( y = -2x^2 - 51x - 7 \) true.