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Home » First, find the radius using the circumference formula: - Tacotoon

First, find the radius using the circumference formula: - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 The solution is \( x pprox 2.615 \), \( y pprox 4.0775 \).

📌 #### (2.615, 4.0775)

📌 A companyâs profit \( P \) is given by \( P(x) = -5x^2 + 150x - 1000 \), where \( x \) is the number of units sold. Find the number of units sold to maximize profit.

📌 The vertex \( x \)-coordinate is \( x = -rac{b}{2a} = -rac{150}{-10} = 15 \).

📌 To maximize profit, 15 units should be sold.

📌 The roots of the equation \( x^2 - 6x + 9 = 0 \) are:

📌 Factor as \( (x - 3)^2 = 0 \).

📌 The root is \( x = 3 \) (double root).

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