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Find the value of [tex]$h(-7)$[/tex] for the function below.
[tex]
h(x) = 5.7 - 19x
[/tex]

A. -127.3
B. [tex] \quad 0.67[/tex]
C. -138.7
D. [tex] \quad 138.7[/tex]

Sagot :

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]