Question

Evaluate the expression for t = –4.

–3t2 − 36 + 67 + t

Answer 1

To evaluate the expression \(-3t^2 - 36 + 67 + t\) for \(t = -4\), we will substitute \(-4\) in place of \(t\) and then simplify.

1. Substitute \(t = -4\):
\[
-3(-4)^2 - 36 + 67 + (-4)
\]

2. Calculate \((-4)^2\):
\[
-3(16) - 36 + 67 - 4
\]

3. Multiply by \(-3\):
\[
-48 - 36 + 67 - 4
\]

4. Combine the terms step by step:
- First, combine \(-48 - 36\):
\[
-48 - 36 = -84
\]
- Next, add \(67\):
\[
-84 + 67 = -17
\]
- Finally, subtract \(4\):
\[
-17 - 4 = -21
\]

So the evaluated expression for \(t = -4\) is \(-21\).