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Home » The vertex is \( (1, -1) \). - Sterling Industries

The vertex is \( (1, -1) \). - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 Let \( y = 2^x \), so \( f(x) = y + \frac{1}{y} \).

📌 By AM-GM, \( y + \frac{1}{y} \geq 2 \), with equality when \( y = 1 \), i.e., \( x = 0 \).

📌 Thus, the minimum value is 2.

📌 A cube has a surface area of 6 square meters. What is the volume of the cube in cubic meters?

📌 Let \( s \) be the side length. Surface area = \( 6s^2 = 6 \).

📌 So, \( s^2 = 1 \), and \( s = 1 \).

📌 Volume = \( s^3 = 1 \).

📌 Find the number of integer solutions to the inequality \( |2x - 5| \leq 7 \).

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