To find the output of the function \( y = -3x - 7 \) when the input \( x \) is \( -5 \), we can substitute \( -5 \) for \( x \):
\[ y = -3(-5) - 7 \]
Calculating this step-by-step:
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Multiply \( -3 \) by \( -5 \): \[ -3 \times -5 = 15 \]
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Now substitute this result into the equation: \[ y = 15 - 7 \]
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Finally, subtract \( 7 \) from \( 15 \): \[ y = 8 \]
Thus, the correct output is \( 8 \).