Question

select the correct answer.
what is the value of this expression when c = -4 and d = 10?
\\(\frac{1}{4}(c^3 + d^2)\\)
a. 2
b. 9
c. 21
d. 41

Explanation:

Step1: Substitute values of c and d

Substitute \( c = -4 \) and \( d = 10 \) into the expression \( \frac{1}{4}(c^{3}+d^{2}) \).
First, calculate \( c^{3} \): \( (-4)^{3} = -64 \).
Then, calculate \( d^{2} \): \( 10^{2} = 100 \).

Step2: Simplify the expression inside the parentheses

Add the results from Step 1: \( -64 + 100 = 36 \).

Step3: Multiply by \( \frac{1}{4} \)

Multiply 36 by \( \frac{1}{4} \): \( \frac{1}{4} \times 36 = 9 \).

Answer:

B. 9