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Home » How 30 Consecutive Dark Days Changed My Life Forever! - 500apps

How 30 Consecutive Dark Days Changed My Life Forever! - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 Substitute \( x = \frac{4}{3} \) back into either original equation to find \( y \). Using \( y = 2x + 3 \):

📌 y = 2\left(\frac{4}{3}\right) + 3 = \frac{8}{3} + 3 = \frac{8}{3} + \frac{9}{3} = \frac{17}{3}

📌 Thus, the intersection point is \( \left(\frac{4}{3}, \frac{17}{3}\right) \).

📌 \boxed{\left(\frac{4}{3}, \frac{17}{3}\right)}

📌 A bioinformatician is analyzing a genetic sequence transformation where the function \( f(x) = x^2 - 4x + k \) and \( g(x) = x^2 - 4x + 9k \) must yield the same result when \( x = 3 \). Determine the value of \( k \).

📌 Evaluate both functions at \( x = 3 \):

📌 For \( f(x) = x^2 - 4x + k \):

📌 f(3) = 3^2 - 4(3) + k = 9 - 12 + k = -3 + k

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