Question

the value of $9x^2 + 4x - 11$ is $\boxed{}$ when $x = 3.2$ and $\boxed{}$ when $x = -2$.

Explanation:

Step1: Substitute $x=3.2$ into expression

$9(3.2)^2 + 4(3.2) - 11$

Step2: Calculate powers and products

$9(10.24) + 12.8 - 11 = 92.16 + 12.8 - 11$

Step3: Compute final value for $x=3.2$

$92.16 + 12.8 - 11 = 84.08$

Step4: Substitute $x=-2$ into expression

$9(-2)^2 + 4(-2) - 11$

Step5: Calculate powers and products

$9(4) - 8 - 11 = 36 - 8 - 11$

Step6: Compute final value for $x=-2$

$36 - 8 - 11 = 13$

Answer:

84.08, 13