To determine the value of the expression [tex]\( 45x - 16 \)[/tex] when [tex]\( x \)[/tex] is equal to [tex]\(-6\)[/tex], follow these steps:
1. Start with the given expression:
[tex]\[
45x - 16
\][/tex]
2. Substitute the given value of [tex]\( x \)[/tex], which is [tex]\(-6\)[/tex], into the expression:
[tex]\[
45(-6) - 16
\][/tex]
3. Perform the multiplication [tex]\( 45 \times (-6) \)[/tex]:
[tex]\[
45 \times (-6) = -270
\][/tex]
4. Now the expression becomes:
[tex]\[
-270 - 16
\][/tex]
5. Perform the subtraction:
[tex]\[
-270 - 16 = -286
\][/tex]
Therefore, the value of the expression [tex]\( 45x - 16 \)[/tex] when [tex]\( x \)[/tex] is [tex]\(-6\)[/tex] is:
[tex]\[
-286
\][/tex]
So, the correct answer is:
[tex]\[
\boxed{-286}
\][/tex]
