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Home » \[ h^2 + 6^2 = 10^2 \] - Baxtercollege

\[ h^2 + 6^2 = 10^2 \] - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Probability of second red card: \(\frac{25}{51}\).

📌 Combined probability: \(\frac{1}{2} \times \frac{25}{51} = \frac{25}{102}\).

📌 #### \(\frac{25}{102}\)

📌 A company’s profit \(P(x)\) in thousands of dollars is modeled by \(P(x) = -2x^2 + 12x - 16\), where \(x\) is the number of units sold in hundreds. Find the number of units sold to maximize profit.

📌 The maximum occurs at \(x = -\frac{b}{2a}\).

📌 Here, \(a = -2\), \(b = 12\).

📌 \(x = -\frac{12}{2(-2)} = 3\).

📌 So, 300 units are sold.

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