Question

select the correct answer.
find the value of h(-7) for the function below.
h(x) = 5.7 -19x
a. 0.67
b. -127.3
c. 138.7
d. -138.7

Explanation:

Step1: Substitute x = -7 into the function

To find \( h(-7) \), we substitute \( x = -7 \) into the function \( h(x) = 5.7 - 19x \). So we get \( h(-7)=5.7 - 19\times(-7) \).

Step2: Calculate the multiplication part

First, calculate \( 19\times(-7) \). We know that multiplying a positive number by a negative number gives a negative result, but here we have \( - 19\times(-7) \), and the product of two negative numbers is positive. So \( -19\times(-7)=133 \).

Step3: Calculate the final result

Now we have \( h(-7)=5.7 + 133 \) (because \( -19\times(-7) = 133 \), so the expression becomes \( 5.7+133 \)). Adding these two numbers together: \( 5.7+133 = 138.7 \).

Answer:

C. 138.7