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Home » Thus, the range of \(f(x)\) is: - AMAZONAWS

Thus, the range of \(f(x)\) is: - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 $$ (10a + b) - (6a + b) = 180 - 120 \Rightarrow 4a = 60 \Rightarrow a = 15 $$

📌 Substitute $ a = 15 $ into (i):

📌 $$ 6(15) + b = 120 \Rightarrow 90 + b = 120 \Rightarrow b = 30 $$

📌 Substitute $ a = 15 $, $ b = 30 $ into (1):

📌 $$ 4(15) + 2(30) + c = 120 \Rightarrow 60 + 60 + c = 120 \Rightarrow c = 0 $$

📌 p(t) = 15t^2 + 30t

📌 \boxed{15t^2 + 30t}

📌 Question: A science fiction writer models the energy output $ E(t) $ of a fusion reactor on Mars as a cubic polynomial satisfying $ E(1) = 20 $, $ E(2) = 58 $, $ E(3) = 132 $, and $ E(4) = 26^3 $. Find $ E(0) $.

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