Question
What is the value of this expression when \( c=-4 \) and \( d=10 \) ? \( \frac{1}{4}\left(c^{3}+d^{2}\right) \) A. 2 B. 9 C. 21 D. 41
Ask by Johnson Christensen. in the United States
Mar 09,2025
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Answer
The value of the expression is 9.
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Let's plug in the values of \( c \) and \( d \) into the expression \( \frac{1}{4}(c^{3}+d^{2}) \). First, calculate \( c^{3} \): \( c^{3} = (-4)^{3} = -64 \) Next, calculate \( d^{2} \): \( d^{2} = 10^{2} = 100 \) Now, add \( c^{3} \) and \( d^{2} \): \( -64 + 100 = 36 \) Now, multiply by \( \frac{1}{4} \): \( \frac{1}{4}(36) = 9 \) So the value of the expression is \( 9 \). The correct answer is B. 9.