Question
Does the point (–7, 0) satisfy the equation y = 9x^2 + –7?
Answers
GPT-4o mini
To determine whether the point \((-7, 0)\) satisfies the equation \(y = 9x^2 - 7\), we can substitute \(x = -7\) into the equation and check if the resulting \(y\) value equals 0.
Starting with the equation:
\[
y = 9x^2 - 7
\]
Substituting \(x = -7\):
\[
y = 9(-7)^2 - 7
\]
Calculating \((-7)^2\):
\[
(-7)^2 = 49
\]
Now substituting back into the equation:
\[
y = 9(49) - 7
\]
Calculating \(9 \times 49\):
\[
9 \times 49 = 441
\]
Now subtracting 7:
\[
y = 441 - 7 = 434
\]
We find that when \(x = -7\), \(y = 434\).
Since the point \((-7, 0)\) has \(y = 0\) and we computed \(y = 434\), the point does **not** satisfy the equation.
Thus, the answer is **no**, the point \((-7, 0)\) does not satisfy the equation \(y = 9x^2 - 7\).
Starting with the equation:
\[
y = 9x^2 - 7
\]
Substituting \(x = -7\):
\[
y = 9(-7)^2 - 7
\]
Calculating \((-7)^2\):
\[
(-7)^2 = 49
\]
Now substituting back into the equation:
\[
y = 9(49) - 7
\]
Calculating \(9 \times 49\):
\[
9 \times 49 = 441
\]
Now subtracting 7:
\[
y = 441 - 7 = 434
\]
We find that when \(x = -7\), \(y = 434\).
Since the point \((-7, 0)\) has \(y = 0\) and we computed \(y = 434\), the point does **not** satisfy the equation.
Thus, the answer is **no**, the point \((-7, 0)\) does not satisfy the equation \(y = 9x^2 - 7\).