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Home » Mephistopheles Exposed: The Reason Evil Always Returns with a Sinister Twist! - Carbonext

Mephistopheles Exposed: The Reason Evil Always Returns with a Sinister Twist! - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 #### Nouvelle moyenne = 110, Nouveau Ã©cart type = 20

📌 Le bÃ©nÃ©fice \( P(x) \) d'une entreprise de fabrication de \( x \) unitÃ©s est modÃ©lisÃ© par \( P(x) = -2x^2 + 120x - 1000 \). Trouver le nombre d'unitÃ©s qui maximise le bÃ©nÃ©fice et le bÃ©nÃ©fice maximal.

📌 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.

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