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First, factor 120: - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \[ H = \frac{(25)^2}{2 \times 9.8} = \frac{625}{19.6} \approx 31.8878 \, \text{meters} \]

📌 The function \( f(x) = 3x^2 - 12x + 7 \) represents a parabola. Find the vertex of the parabola.

📌 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 \( k \):

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Problem:
A rectangle has a length that is three times its width. If the perimet...
The perimeter is given by \( 2(w + 3w) = 96 \).
Simplifying, \( 2 \times 4w = 96 \) leads to \( 8w = 96 \).
So, \( w = \frac{96}{8} = 12 \) cm.
The length is \( 3 \times 12 = 36 \) cm.
The area is \( 12 \times 36 = 432 \) cm².

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