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Home » 19b = 69 \Rightarrow b = \frac6919 - Crosslake

19b = 69 \Rightarrow b = \frac6919 - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Fonction quadratique \( P(x) = -2x^2 + 120x - 1000 \).

📌 Maximum Ã \( x = -rac{b}{2a} = -rac{120}{2(-2)} = 30 \).

📌 Substituez \( x = 30 \) : \( P(30) = -2(900) + 120(30) - 1000 = -1800 + 3600 - 1000 = 800 \).

📌 #### UnitÃ©s = 30, BÃ©nÃ©fice maximal = 800

📌 Une balle est lancÃ©e verticalement vers le haut avec une vitesse initiale \( v_0 = 20 \) m/s. Sa hauteur \( h(t) \) aprÃ¨s \( t \) secondes est \( h(t) = 20t - 5t^2 \). Trouver le temps pour atteindre la hauteur maximale et la hauteur maximale.

📌 Le sommet de la parabole \( h(t) = -5t^2 + 20t \) est Ã \( t = -rac{b}{2a} = rac{20}{10} = 2 \) secondes.

📌 Hauteur maximale : \( h(2) = 20(2) - 5(4) = 40 - 20 = 20 \) m.

📌 #### Temps = 2 secondes, Hauteur maximale = 20 m

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