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Home » Solutions are \( n = 20 \) or \( n = -21 \). - Tacotoon

Solutions are \( n = 20 \) or \( n = -21 \). - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Question: A linguistâs model for word frequency is $ p(x) = x^2 - 2x + m $. Find the largest $ x $ such that $ p(x) = 0 $ when $ m = -3 $.

📌 Solution: Substitute $ m = -3 $:

📌 x^2 - 2x - 3 = 0.

📌 The largest value is $ 3 $.

📌 oxed{3}Question: A soil scientist mixes two fertilizers, one containing 15% nitrogen and another containing 40% nitrogen, to create 10 liters of a 25% nitrogen solution. How many liters of the 15% fertilizer are used?

📌 Solution: Let $ x $ be the liters of 15% fertilizer and $ y $ be the liters of 40% fertilizer. The system is:

📌 x + y = 10 \

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