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Home » $1020 \cdot 19 = 19380$ - Treasure Valley Movers

$1020 \cdot 19 = 19380$ - Treasure Valley Movers

📅 April 15, 2026 👤 scraface

Apr 15, 2026

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📌 Total distance: \(120 + 180 = 300\) km.

📌 Total time: \(1.5 + 2 = 3.5\) hours.

📌 Average speed: \(\frac{300}{3.5} \approx 85.71\) km/h.

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

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