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Home » \binom64 = \frac6!4!2! = \frac72024 \cdot 2 = 15 - Coaching Toolbox

\binom64 = \frac6!4!2! = \frac72024 \cdot 2 = 15 - Coaching Toolbox

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 f(3) = 3(3)^2 + 2(3) - 5 = 3 \times 9 + 6 - 5 = 27 + 6 - 5 = 28

📌 Now, substitute \( f(3) = 28 \) into \( g(x) \):

📌 g(28) = \sqrt{28 + 7} = \sqrt{35}

📌 Thus, the value of \( g(f(3)) \) is \(\sqrt{35}\).

📌 \boxed{\sqrt{35}}

📌 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

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