Question

question 6 of 6
select the correct answer.
what is the value of the expression when f = -4, g = 5, and h = \\(\frac{3}{4}\\)?
\\(-8h - 2(5 + f^3) + 7g^2\\)
options: 51, 299, 31, 287
submit

Explanation:

Step1: Substitute the values of \( f \), \( g \), and \( h \)

Given \( f = - 4 \), \( g = 5 \), \( h=\frac{3}{4} \), substitute into the expression \( - 8h-2(5 + f^{3})+7g^{2} \).
First, calculate each part:

• For \( - 8h \): \( - 8\times\frac{3}{4}=-6 \)
• For \( f^{3} \): \( (-4)^{3}=-64 \), then \( 5 + f^{3}=5+( - 64)=-59 \), and \( - 2(5 + f^{3})=-2\times(-59) = 118 \)
• For \( 7g^{2} \): \( 7\times5^{2}=7\times25 = 175 \)

Step2: Combine the results

Now, add the three parts together: \( - 6+118 + 175 \)
First, \( - 6+118=112 \)
Then, \( 112 + 175 = 287 \)

Answer:

287