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Home » \[ f'(x) = 6x - 2 \] - RoadRUNNER Motorcycle Touring & Travel Magazine

\[ f'(x) = 6x - 2 \] - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 10x - 8 = 7x + 2 → 3x = 10 → x = 10/3 — not whole.

📌 But ratio 5:7 → try x=2 → boys=10, girls=14 → after: boys=6, girls=16 → ratio 6:16 = 3:8 ≠ 1:2.

📌 x=1 → 5,7 → 3:12 = 1:4.

📌 x=3 → 15,21 → 11:23.

📌 x=4 → 20,28 → 14:28 = 1:2 → yes!

📌 So initially boys = 20, girls = 28 → total = 48.

📌 A rectangular prism has dimensions 4 cm, 6 cm, and 9 cm. What is the surface area of the prism?

📌 Surface area = 2(lw + lh + wh) = 2(4×6 + 4×9 + 6×9) = 2(24 + 36 + 54) = 2(114) = 228 square centimeters.

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