Question

Mary inputs the same number into both of these function machines. The output she is given is the same for both machines. What number has she input? Input: X-2 +7, Input: -7 × 5, Output: Output

Answer 1

Mary inputted the number 2 into both function machines.

Step-by-step explanation:

To find the number that Mary inputted into both function machines, let's analyze the two given functions.

1. Function 1: X-2 + 7
2. Function 2: -7 × 5

In Function 1, X is subtracted by 2 and then the result is added to 7. In Function 2, -7 is multiplied by 5. The fact that Mary receives the same output for both functions indicates that the input number must be such that its value is unchanged when subtracted by 2 and added to 7, as well as when multiplied by -7 and 5.

Therefore, the number Mary inputted is 2, as it remains unchanged in both functions: (2-2)+7 = 7 and (-7)×5 = -35.