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how many fluid ounces in a pint - Roya Kabuki

📅 May 8, 2026 👤 scraface

May 08, 2026

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📌 A function \( f(x) = 3x^2 - 12x + 7 \) is given. Find the vertex of this quadratic function.

📌 The x-coordinate of the vertex is given by \( x = -\frac{b}{2a} \), where \( a = 3 \) and \( b = -12 \).

📌 \( x = -\frac{-12}{2 \times 3} = \frac{12}{6} = 2 \).

📌 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, \( 2^{3x} = 2^6 \).

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