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Home » Discover the Amazing Charges of Periodic Elements—Science Won’t Ignore This! - DNSFLEX

Discover the Amazing Charges of Periodic Elements—Science Won’t Ignore This! - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 La ganancia \( P \) de una compañía en miles de dólares se modela por \( P(x) = -2x^2 + 12x - 16 \), donde \( x \) es el número de productos vendidos en cientos. Encuentra el número de productos vendidos para maximizar la ganancia.

📌 La forma vértice de una cuadrática \( ax^2 + bx + c \) da el máximo en \( x = -\frac{b}{2a} \).

📌 Aquí, \( a = -2 \), \( b = 12 \).

📌 \( x = -\frac{12}{2 \times -2} = 3 \).

📌 Entonces, 300 productos maximizan la ganancia.

📌 Si \( \log_2(x) + \log_2(x-4) = 3 \), encuentra \( x \).

📌 Combina logaritmos: \( \log_2(x(x-4)) = 3 \).

📌 Entonces, \( x(x-4) = 2^3 = 8 \).

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