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Home » Watch Rush Hour 1 Now—This Edition Broke the Fast Track and Stole Every Heart! - Crankk.io

Watch Rush Hour 1 Now—This Edition Broke the Fast Track and Stole Every Heart! - Crankk.io

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 \theta_2 = \sin^{-1}(0.3333) \approx 19.47^\circ

📌 #### 19.47

📌 The function \( f(x) = ax^2 + bx + c \) has roots at \( x = 2 \) and \( x = -3 \). If \( f(1) = 6 \), find the value of \( a \).

📌 The function can be expressed in factored form based on the roots:

📌 f(x) = a(x - 2)(x + 3)

📌 Expand the expression:

📌 f(x) = a(x^2 + 3x - 2x - 6) = a(x^2 + x - 6)

📌 Substitute \( x = 1 \) into the expanded form and set it equal to 6:

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Substitute $ a = 15 $ into (i):
$$ 6(15) + b = 120 \Rightarrow 90 + b = 120 \Rightarrow b = 30 $$
Substitute $ a = 15 $, $ b = 30 $ into (1):
$$ 4(15) + 2(30) + c = 120 \Rightarrow 60 + 60 + c = 120 \Rightarrow c...
p(t) = 15t^2 + 30t
\boxed{15t^2 + 30t}
Question: A science fiction writer models the energy output $ E(t) $ o...
Solution: Let $ E(t) = at^3 + bt^2 + ct + d $. Use the given values:
$ E(1) = a + b + c + d = 20 $
$ E(2) = 8a + 4b + 2c + d = 58 $

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