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Home » Unlock Million-USE Set of Valentine’s Day Coloring Pages – Get Yours Today! - Sterling Industries

Unlock Million-USE Set of Valentine’s Day Coloring Pages – Get Yours Today! - Sterling Industries

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 Question: The functions $ f(x) = x^2 - 6x + m $ and $ g(x) = x^2 - 6x + 5m $ are evaluated at $ x = 3 $. If $ f(3) = 2g(3) $, find $ m $.

📌 Solution: Compute $ f(3) = 9 - 18 + m = -9 + m $, and $ g(3) = 9 - 18 + 5m = -9 + 5m $. Set $ -9 + m = 2(-9 + 5m) $:

📌 $ -9 + m = -18 + 10m \Rightarrow -9 + 18 = 10m - m \Rightarrow 9 = 9m \Rightarrow m = 1 $.

📌 \boxed{1}Question: What is the greatest common factor of 48 and 60?

📌 Solution: To find the greatest common factor (GCF) of 48 and 60, factor both numbers.

📌 Prime factors of 48: $2^4 \times 3$

📌 Prime factors of 60: $2^2 \times 3 \times 5$

📌 The common factors are $

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