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how long do yeast infections last - Anadea

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 The sum of the first \( n \) terms of an arithmetic sequence is given by \( S_n = rac{n}{2} (2a + (n-1)d) \). If the first term \( a = 3 \) and the common difference \( d = 5 \), find the sum of the first 10 terms.

📌 Using the formula, \( S_{10} = rac{10}{2} (2 imes 3 + (10-1) imes 5) \).

📌 Simplifying, \( S_{10} = 5 (6 + 45) = 5 imes 51 = 255 \).

📌 A quadratic function is given by \( f(x) = 2x^2 - 4x + 1 \). Find the vertex of the parabola.

📌 The vertex \( x \)-coordinate is given by \( x = -rac{b}{2a} = -rac{-4}{4} = 1 \).

📌 Substitute \( x = 1 \) into the function: \( f(1) = 2(1)^2 - 4(1) + 1 = 2 - 4 + 1 = -1 \).

📌 Multiply the second equation by 2:

📌 \[ x = rac{34}{13} pprox 2.615 \]

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