I believe the answer is D.
The expression in question is:
f(x) = x³ – 2x² – x + 2
To determine the roots, follow these steps:
1. Set the equation to zero:
0 = x³ – 2x² – x + 2
2. Factor the equation to get:
(x-2)(x-1)(x+1) = 0
3. The roots can be identified as follows:
x1 = -1
x2 = 1
x3 = 2
Let X be the amount of 90% alloy and Y be the amount of 70% alloy. The equations are: x + y = 60 0.9x + 0.7y = 0.85 * 60 By substituting, we have: 0.9x + 0.7(60 - x) = 0.85 * 60 This simplifies to: (0.9 - 0.7)x = (0.85 - 0.7)*60 Solving for x yields: x = (0.85 - 0.7)*60/(0.9 - 0.7) x = 45 ounces For Y, we find: y = 60 - 45 y = 15 ounces
