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Home » Total in a Gallon: The Shocking Count of Bottled Waters You Need to Know Now! - DNSFLEX

Total in a Gallon: The Shocking Count of Bottled Waters You Need to Know Now! - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 We know \( a + b = 10 \) and \( a^2 + b^2 = 58 \). Use the identity:

📌 a^2 + b^2 = (a+b)^2 - 2ab

📌 = 10^2 - 2ab \implies 58 = 100 - 2ab \implies 2ab = 42 \implies ab = 21

📌 Now substitute \( a+b \), \( a^2+b^2 \), and \( ab \) into the sum of cubes formula:

📌 Question:** A cartographer is designing a map transformation function \( T(x) = 3x^2 - 2x + 5 \). If \( x = g(y) = 2y + 1 \), find \( T(g(3)) \).

📌 First, find \( g(3) \):

📌 g(3) = 2(3) + 1 = 7

📌 Now substitute \( x = g(3) = 7 \) into \( T(x) \):

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