Question

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

Explanation:

Step1: Substitute x = -7 into h(x)

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

Step2: Calculate the multiplication part

First, calculate \( 19\times(-7) \). When we multiply a positive number by a negative number, the result is negative. But here we have \( - 19\times(-7) \), and the product of two negative numbers is positive. So \( 19\times7 = 133 \), so \( -19\times(-7)=133 \).

Step3: Calculate the final result

Now we have \( h(-7)=5.7 + 133 \) (because \( -19\times(-7) = 133 \)). Adding 5.7 and 133, we get \( 5.7+133 = 138.7 \).

Answer:

B. 138.7