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Home » Probability of first red = \( \frac312 = \frac14 \). - Tacotoon

Probability of first red = \( \frac312 = \frac14 \). - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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The vertex \( (h, k) \) of a parabola \( ax^2 + bx + c \) is given by:
\[ h = -\frac{b}{2a} \]
Here, \( a = 3 \), \( b = -12 \).
Calculate \( h \):
\[ h = -\frac{-12}{2 \times 3} = \frac{12}{6} = 2 \]
Substitute \( x = 2 \) into \( f(x) \) to find \( k \):
\[ k = 3(2)^2 - 12(2) + 7 = 12 - 24 + 7 = -5 \]
The vertex is \( (2, -5) \).
#### (2, -5)
3x + 4y &= 10 \\

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