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0.25x + 30 - 0.10x = 45 - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 This expression resembles a perfect square trinomial:

📌 Check if it fits the pattern:

📌 16x^2 = (4x)^2, \quad 25 = (5)^2, \quad -40x = -2(4x)(5)

📌 So the expression is a perfect square trinomial:

📌 Thus, the factored form is $\boxed{(4x - 5)^2}$.

📌 Question: A hydrologist models the water level in a reservoir as $ W(t) = -2t^2 + 12t + 50 $, where $ t $ is time in months since the start of the drought. What is the maximum water level, and at what time does it occur?

📌 The function $ W(t) = -2t^2 + 12t + 50 $ is a quadratic in standard form $ at^2 + bt + c $, with $ a

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