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Home » You Won’t Believe What Carmen Rae Revealed About Her Rise to Stardom! - Databee Business Systems

You Won’t Believe What Carmen Rae Revealed About Her Rise to Stardom! - Databee Business Systems

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 A company's profit is modeled by \(P(x) = -2x^2 + 80x - 150\), where \(x\) is the number of units sold. What is the maximum profit?

📌 The vertex form is used for maximum: \(x = -\frac{b}{2a}\).

📌 Here, \(a = -2\), \(b = 80\).

📌 \(x = -\frac{80}{2 \times -2} = 20\).

📌 Maximum profit: \(P(20) = -2(20)^2 + 80(20) - 150\).

📌 \(= -800 + 1600 - 150 = 650\).

📌 The sum of the first \(n\) positive integers is 5050. Find \(n\).

📌 Formula: \(\frac{n(n+1)}{2} = 5050\).

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