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Evaluate the expression when y = -5.
y^2+6y-9
y^2+6y-9
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Answered by
GPT-4o mini
To evaluate the expression \( y^2 + 6y - 9 \) when \( y = -5 \), we substitute \(-5\) for \(y\):
\[
y^2 + 6y - 9 = (-5)^2 + 6(-5) - 9
\]
Now, let's calculate each term:
1. Calculate \((-5)^2\):
\[
(-5)^2 = 25
\]
2. Calculate \(6(-5)\):
\[
6(-5) = -30
\]
Now, substitute these values back into the expression:
\[
25 - 30 - 9
\]
Next, simplify it step by step:
1. \(25 - 30 = -5\)
2. Now, \(-5 - 9 = -14\)
Thus, the value of the expression when \( y = -5 \) is:
\[
\boxed{-14}
\]
\[
y^2 + 6y - 9 = (-5)^2 + 6(-5) - 9
\]
Now, let's calculate each term:
1. Calculate \((-5)^2\):
\[
(-5)^2 = 25
\]
2. Calculate \(6(-5)\):
\[
6(-5) = -30
\]
Now, substitute these values back into the expression:
\[
25 - 30 - 9
\]
Next, simplify it step by step:
1. \(25 - 30 = -5\)
2. Now, \(-5 - 9 = -14\)
Thus, the value of the expression when \( y = -5 \) is:
\[
\boxed{-14}
\]
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