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Home » Solving, \(n(n+1) = 420\). - Baxtercollege

Solving, \(n(n+1) = 420\). - Baxtercollege

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A climate model predicts urban energy usage with functions \( f(x) = 3x - 4 \) and \( g(x) = \sqrt{x + 5} \). What is \( f(g(4)) \)?

📌 First, evaluate \( g(4) \):

📌 g(4) = \sqrt{4 + 5} = \sqrt{9} = 3

📌 Now compute \( f(g(4)) = f(3) \):

📌 f(3) = 3(3) - 4 = 9 - 4 = 5

📌 In a sustainability initiative, the amount of waste recycled \( R \) and composted \( C \) in tons satisfy \( R + C = 60 \) and \( R^2 + C^2 = 2000 \). Find \( R^3 + C^3 \).

📌 R + C = 60

📌 R^2 + C^2 = 2000

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