, which of the following is the output of the function y=3x+6
?
options:
9
9
6.3
6.3
0.3
0.3
6.9
3 answers
To find the output of the function \( y = 3x + 6 \) when \( x = 0.3 \), you can substitute \( 0.3 \) into the equation:
\[ y = 3(0.3) + 6 \] \[ y = 0.9 + 6 \] \[ y = 6.9 \]
So, when \( x = 0.3 \), the output \( y \) is \( 6.9 \).
Therefore, the correct option is:
6.9
To find the value of the function \( y = \frac{1}{8x - 13} \) when \( x = -4 \), we substitute \(-4\) into the equation:
\[ y = \frac{1}{8(-4) - 13} \]
Calculating inside the parentheses first:
\[ y = \frac{1}{8 \cdot -4 - 13} \] \[ y = \frac{1}{-32 - 13} \] \[ y = \frac{1}{-45} \]
Thus, the value of the function when \( x = -4 \) is:
\[ y = -\frac{1}{45} \]
