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Home » \[ f(u) = (u - 1)^2 Q(u) + au + b \] - go-checkin.com

\[ f(u) = (u - 1)^2 Q(u) + au + b \] - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 $ u = 15 $: $ 15^3 = 3375 $, which exceeds 1500.

📌 Thus, the greatest multiple of 5 satisfying $ u^3 < 1500 $ is $ u = 10 $.

📌 Therefore, the greatest possible value is $ \boxed{10} $.

📌 Question: A palynologist analyzing pollen counts observes that the average of three counts — $ 3u+2 $, $ 5u+7 $, and $ 4u+1 $ — equals 62. What is the value of $ u $?

📌 Solution: The average of $ 3u+2 $, $ 5u+7 $, and $ 4u+1 $ is given by:

📌 \frac{(3u+2) + (5u+7) + (4u+1)}{3} = 62

📌 3u + 5u + 4u + 2 + 7 + 1 = 12u + 10

📌 \frac{12u + 10}{3} = 62

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