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Home » From equation (3): $v_1 = -1 - 2v_2$. Substitute into equation (2): - Appfinity Technologies

From equation (3): $v_1 = -1 - 2v_2$. Substitute into equation (2): - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A train travels 120 km in 1.5 hours, then speeds up to cover the next 180 km in 2 hours. What is the average speed over the entire journey?

📌 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, \(a = -2\), \(b = 80\).

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

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