To find the value of [tex]\( h(-7) \)[/tex] for the function [tex]\( h(x) = 5.7 - 19x \)[/tex], we substitute [tex]\( x = -7 \)[/tex] into the function and follow these steps:
1. Start with the given function:
[tex]\[
h(x) = 5.7 - 19x
\][/tex]
2. Substitute [tex]\( x = -7 \)[/tex] into the function:
[tex]\[
h(-7) = 5.7 - 19(-7)
\][/tex]
3. Perform the multiplication inside the function:
[tex]\[
-19(-7) = 133
\][/tex]
4. Add the result to 5.7:
[tex]\[
h(-7) = 5.7 + 133
\][/tex]
5. Finally, sum the two values:
[tex]\[
5.7 + 133 = 138.7
\][/tex]
Therefore, the correct answer is:
[tex]\[
\boxed{138.7}
\][/tex]
