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Home » v_1 & v_2 & v_3 \\ - Aurero

v_1 & v_2 & v_3 \\ - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 Question:** A geographer is studying elevation data and finds that the elevation at Point A is modeled by $ h(x) = 3x^2 - 6x + 5 $, and at Point B by $ k(x) = 2x^2 - 4x + m $. If the elevation at $ x = 2 $ is the same for both points, what is the value of $ m $?

📌 Evaluate both functions at $ x = 2 $ and equate them:

📌 $ h(2) = 3(2)^2 - 6(2) + 5 = 12 - 12 + 5 = 5 $

📌 $ k(2) = 2(2)^2 - 4(2) + m = 8 - 8 + m = m $

📌 Since $ h(2) = k(2) $, we have:

📌 $$Question: How many numbers are in the list \( 3, 8, 13, \ldots, 98 \)?

📌 Solution: The given sequence is an arithmetic sequence with the first term \( a = 3 \) and common difference \( d = 5 \). The general term of the sequence is given by:

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