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Home » 5) Benson of Regular Show: The Untold Story Behind His Coolest Secrets! - Nelissen Grade advocaten

5) Benson of Regular Show: The Untold Story Behind His Coolest Secrets! - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The profit function is a quadratic \( P = -2x^2 + 12x - 5 \), which opens downward.

📌 The vertex occurs at \( x = -\frac{b}{2a} = -\frac{12}{2(-2)} = 3 \).

📌 Substitute \( x = 3 \):

📌 \( P = -2(3)^2 + 12(3) - 5 = -18 + 36 - 5 = 13 \).

📌 The maximum profit is 13 thousand dollars, or $13,000.

📌 Problem:** A ball is thrown upward from a height of 2 meters with a velocity of 20 m/s. Its height \( h(t) = -5t^2 + 20t + 2 \). When does it hit the ground?

📌 \( -5t^2 + 20t + 2 = 0 \)

📌 Use quadratic formula: \( t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \)

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