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Home » Simplify: \( 60 \times \textheight = 240 \). - AMAZONAWS

Simplify: \( 60 \times \textheight = 240 \). - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 f(1) = 15,\quad f(2) = 30,\quad f(3) = 45,\quad f(4) = 60

📌 We observe that the values increase linearly: $ f(x) = 15x $ fits all given points.

📌 Since $ f(x) $ is a cubic polynomial and agrees with a linear function at four points, and a cubic can only differ from a linear function by a cubic term that vanishes at those points, define:

📌 f(x) = 15x + k(x - 1)(x - 2)(x - 3)(x - 4)

📌 But since $ f(x) $ is only cubic, the quartic term must vanish, so $ k = 0 $. Therefore:

📌 f(x) = 15x

📌 f(5) = 15 \cdot 5 = \boxed{75}

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