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Home » Adding: \( 2x = 64 \) → \( x = 32 \). - Sterling Industries

Adding: \( 2x = 64 \) → \( x = 32 \). - Sterling Industries

📅 April 15, 2026 👤 scraface

Apr 15, 2026

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📌 Si la función f(x) = 3x^2 - 4x + 2, ¿cuál es el valor de f(-2)?

📌 f(-2) = 3(-2)^2 - 4(-2) + 2 = 3(4) + 8 + 2 = 12 + 8 + 2 = 22.

📌 El área de un rectángulo es de 72 metros cuadrados. Si el largo es el doble del ancho, ¿cuáles son las dimensiones del rectángulo?

📌 Sea el ancho w, entonces el largo es 2w.

📌 La fórmula del área da 2w * w = 72.

📌 Esto se simplifica a 2w^2 = 72, por lo que w^2 = 36, y w = 6 metros.

📌 El largo es entonces 2 * 6 = 12 metros.

📌 #### 6 metros por 12 metros

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4x + 6y - 4x + 5y = -32 \\
11y = -32 \\
y = -\frac{32}{11}
Substitute $ y = -\frac{32}{11} $ into equation (2):
2x + 3\left(-\frac{32}{11}\right) = -6 \\
2x - \frac{96}{11} = -6 \\
2x = -6 + \frac{96}{11} = \frac{-66 + 96}{11} = \frac{30}{11} \\
x = \frac{15}{11}
Thus, the intersection point is $ \left( \frac{15}{11}, -\frac{32}{11}...
Final answer: $ \boxed{\left( \frac{15}{11}, -\frac{32}{11} \right)} $

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