9514 1404 393
Answer:
17 2/3
Step-by-step explanation:
A calculator or spreadsheet can figure this. The maximum of f(x) is found where 3x-2 intersects 25-x.
2x +3 = 25 -x
3x = 22
x = 22/3 = 7 1/3
25 -7 1/3 = 17 2/3 . . . . maximum value of f(x)
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Note in the graph that the slope of f(x) decreases at about x=5. The expression with the lower positive slope is 2x+3. So, it is that expression that must equal the expression with the negative slope.
