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Home » This means $ n = 7k + 3 $ for some integer $ k $. - Treasure Valley Movers

This means $ n = 7k + 3 $ for some integer $ k $. - Treasure Valley Movers

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 \( x = \frac{-(-4) \pm \sqrt{64}}{2 \times 2} = \frac{4 \pm 8}{4} \).

📌 Solutions are \( x = \frac{4 + 8}{4} = 3 \) and \( x = \frac{4 - 8}{4} = -1 \).

📌 A company produces widgets that sell for $15 each. The cost to produce \( x \) widgets is given by \( C(x) = 5x + 200 \). How many widgets must be sold to break even?

📌 Revenue from selling \( x \) widgets is \( 15x \).

📌 Break-even occurs when revenue equals cost: \( 15x = 5x + 200 \).

📌 Solve for \( x \): \( 15x - 5x = 200 \), thus \( 10x = 200 \).

📌 Divide both sides by 10: \( x = 20 \).

📌 A sequence is defined by \( a_n = 3n^2 - 2n + 1 \). Find the 5th term.

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