Questions: Find the value C(-2), where C is defined below. C(t)=t^2-2t-4 Provide your answer below: C(-2)=

Find the value C(-2), where C is defined below.
C(t)=t^2-2t-4

Provide your answer below:
C(-2)=
Transcript text: Find the value $C(-2)$, where $C$ is defined below. \[ C(t)=t^{2}-2 t-4 \] Provide your answer below: \[ C(-2)= \]
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Solution

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Find the value of \( C(-2) \) using the given function \( C(t) = t^{2} - 2t - 4 \).

Substitute \( t = -2 \) into the function.

\[ C(-2) = (-2)^{2} - 2(-2) - 4 \]

Calculate each term separately.

\[ (-2)^{2} = 4, \quad -2(-2) = 4, \quad -4 = -4 \]

Combine the results.

\[ C(-2) = 4 + 4 - 4 = 4 \]

\[ \boxed{C(-2) = 4} \]

The value of \( C(-2) \) is \(\boxed{4}\).

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