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Home » Thus, maximum profit is at x = 40, y = 0 → $1600 - AMAZONAWS

Thus, maximum profit is at x = 40, y = 0 → $1600 - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 Substituting \( x = 2 \) into the function, \( f(2) = 3(2)^2 - 12(2) + 7 = 12 - 24 + 7 = -5 \).

📌 Thus, the vertex is \( (2, -5) \).

📌 Solve the exponential equation \( 2^{3x} = 64 \).

📌 Express 64 as a power of 2: \( 64 = 2^6 \).

📌 Therefore, \( 2^{3x} = 2^6 \).

📌 Since the bases are the same, equate the exponents: \( 3x = 6 \).

📌 Solving for \( x \), \( x = \frac{6}{3} = 2 \).

📌 The diameter of the circle is equal to the side length of the square, which is 10 cm.

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