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Home » \( 2(2w + 3) = 34 \) - Veritas Home Health

\( 2(2w + 3) = 34 \) - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Solution: The slope $ m $ of the line is $ \frac{19 - 7}{9 - 3} = \frac{12}{6} = 2 $. Using point-slope form with point $ (3, 7) $: $ y - 7 = 2(x - 3) $. Simplify: $ y = 2x - 6 + 7 = 2x + 1 $. The $ y $-intercept occurs when $ x = 0 $, so $ y = 2(0) + 1 = 1 $. Thus, the $ y $-intercept is $ \boxed{1} $.

📌 Question: Factor the expression $ x^4 - 13x^2 + 36 $ completely over the real numbers.

📌 Solution: Let $ u = x^2 $, so the expression becomes $ u^2 - 13u + 36 $. Factor: $ (u - 9)(u - 4) $. Substitute back: $ (x^2 - 9)(x^2 - 4) $. Each is a difference of squares: $ (x - 3)(x + 3)(x - 2)(

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