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Home » e^-x(10x - 5x^2) = 0. - Get link 4share

e^-x(10x - 5x^2) = 0. - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 A logistic growth model for a population in an urban zone is given by the equation \( P(t) = \frac{1000}{1 + 9e^{-0.5t}} \). Find the \( y \)-intercept of this curve.

📌 The \( y \)-intercept occurs when \( t = 0 \). Substitute \( t = 0 \) into the equation:

📌 P(0) = \frac{1000}{1 + 9e^{0}} = \frac{1000}{1 + 9 \times 1} = \frac{1000}{10} = 100

📌 Therefore, the \( y \)-intercept is the point \( (0, 100) \), and the \( y \)-value is:

📌 A sustainability model predicts energy savings using the expression \( 4x^2 - 12x + 9 \). Factor this quadratic completely.

📌 We are given the quadratic expression:

📌 4x^2 - 12x + 9

📌 Check if it is a perfect square trinomial. Identify:

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