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Home » To find the intersection point, we solve the system of equations simultaneously. - ToelettAPP

To find the intersection point, we solve the system of equations simultaneously. - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 t = \frac{\ln\left(\frac{3}{2}\right)}{\ln\left(\frac{1.05}{1.03}\right)} \approx \frac{0.4055}{0.0198} \approx 20.48

📌 Since $ t $ must be a whole number, round up to the next month:

📌 \boxed{21}

📌 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:

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