Final answer:
The simplified expression is found by multiplying numbers within the parentheses and then applying the coefficients outside the parentheses. The calculation results in -20 + 28, which simplifies to 8. Thus, the correct answer is d) -2x + 8.
Step-by-step explanation:
The simplified expression for −1/5 (5×20) - 1/4(4×-28) is calculated by first multiplying the numbers inside the parentheses and then applying the coefficients (the fractions in front of the parentheses).
First, we multiply 5 by 20 to get 100, then we multiply 4 by -28 to get -112. Next, we multiply these results by the coefficients. −1/5 of 100 is -20, and 1/4 of -112 is -28. Now we add the results of these two multiplications together:
-20 + 28 = 8
Therefore, the simplified expression is d) -2x + 8.