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Home » Discover the Hidden Secrets of the Crow City of Angels: A Mystical Journey! - High Altitude Science

Discover the Hidden Secrets of the Crow City of Angels: A Mystical Journey! - High Altitude Science

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 #### 3, -1

📌 Los ingresos de una empresa se modelan por la función \( R(x) = -5x^2 + 150x \), donde \( x \) es el número de unidades vendidas. ¿Cuál es el ingreso máximo?

📌 El máximo ocurre en el vértice, \( x = -\frac{b}{2a} = -\frac{150}{2 \times -5} = 15 \).

📌 Sustituyendo de nuevo, \( R(15) = -5(15)^2 + 150 \times 15 = -1125 + 2250 = 1125 \).

📌 Un tanque se llena con agua a una tasa de 8 litros por minuto. Si el tanque puede contener 500 litros, ¿cuánto tiempo tardará en llenarse?

📌 El tiempo requerido es \( \frac{500 \text{ litros}}{8 \text{ litros/minuto}} = 62.5 \) minutos.

📌 Un triángulo tiene lados de longitudes 7, 24 y 25 unidades. ¿Es un triángulo rectángulo?

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Substitute \( a = 1 \) back into \( 3a + b = 5 \):
3(1) + b = 5 \implies b = 2.
Substitute \( a = 1 \) and \( b = 2 \) into \( a + b + c = 6 \):
+ 2 + c = 6 \implies c = 3.
Thus, the polynomial is \( f(x) = x^2 + 2x + 3 \).
Now, calculate \( f(x+1) \):
f(x+1) = (x+1)^2 + 2(x+1) + 3.
= x^2 + 2x + 1 + 2x + 2 + 3 = x^2 + 4x + 6.
\(\boxed{x^2 + 4x + 6}\)
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