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Mathematics
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a. 0 = -0.3x^2 + 12x + 14 x = -1.134489979... or 41.13448998... x ≈ 41 (reject x ≈ -1) The 41st day. 1.) The graph is opening downward, so it has a maximum point near the middle. 2.) x = -b/(2a) = -12/(2 • -0.3) = 20 After 20 days, it reaches a peak. 3.) -0.3(20^2) + 12(20) + 14 = 134 4) The vertex is (20, 134). The x-coordinate represents the day on which the maximum occurs; the y-coordinate represents the maximum value. (Where are parts e and f?) a. There are two solutions, because a parabola of this type has two x-intercepts. b. The solutions are given above. The solution, x ≈ 41, re
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