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how to do slope and y intercept form - inBeat

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Question: A patent attorney reviews 4 algorithms that take $2x + 1$, $x + 5$, $3x - 2$, and $4x + 3$ seconds respectively to complete. If the average time is 10 seconds, what is the value of $x$?

📌 Solution: The average of the four times is given by:

📌 \frac{(2x + 1) + (x + 5) + (3x - 2) + (4x + 3)}{4} = 10

📌 2x + x + 3x + 4x + 1 + 5 - 2 + 3 = 10x + 7

📌 Now solve the equation:

📌 \frac{10x + 7}{4} = 10

📌 Multiply both sides by 4:

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