Question

evaluate the expression for the given value of the variable. 3t^2 - 4t + 13 for t = -1

Explanation:

Step1: Substitute t value

Substitute $t = - 1$ into the expression $3t^{2}-4t + 13$. We get $3\times(-1)^{2}-4\times(-1)+13$.

Step2: Calculate powers

Calculate $(-1)^{2}=1$. The expression becomes $3\times1-4\times(-1)+13$.

Step3: Calculate multiplications

$3\times1 = 3$ and $-4\times(-1)=4$. The expression is now $3 + 4+13$.

Step4: Calculate sums

$3+4+13=20$.

Answer:

$20$