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Question: Complete the following function machines so that the inputs give the correct outputs. 170 ----- +..... -------90
Let's break down the process to find the correct operation (+.....) that transforms the input to the given output. 1. **Write down the equation:** \[ 170 + x = 90 \] 2. **Isolate x:** \[ x = 90 - 170 \] 3. **Solve for x:** \[ x = -80 \] So, the operation required to transform the input (170) into the output (90) is to add \( -80 \) (which is effectively subtracting 80). **The function machine:** \[ 170 \quad --- \quad +(-80) \quad--- \quad 90 \] Or more straightforwardly: \[ 170 \quad --- \quad -80 \quad--- \quad 90 \] Therefore, the function is to subtract 80 from the input to get the output.
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