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Home » Surprising Hospital Drawing Went Viral—You Won’t Believe What It Illustrates! - Parker Core Knowledge

Surprising Hospital Drawing Went Viral—You Won’t Believe What It Illustrates! - Parker Core Knowledge

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 \[ f(3) = 3(3)^2 - 2(3) + 1 = 3 \times 9 - 6 + 1 = 27 - 6 + 1 = 22. \]

📌 Next, substitute \( f(3) \) into \( g(x) \).

📌 \[ g(f(3)) = g(22) = 22 - 4 = 18. \]

📌 Thus, \( g(f(3)) = \boxed{18} \).

📌 Determine the largest integer \( x \) that satisfies the inequality \( 2x^2 - 9x + 7 < 0 \).

📌 Solve the quadratic inequality \( 2x^2 - 9x + 7 < 0 \).

📌 First, find the roots of the equation \( 2x^2 - 9x + 7 = 0 \) using the quadratic formula:

📌 where \( a = 2 \), \( b = -9 \), \( c = 7 \).

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We use the known combinatorial result: the number of ways to choose $k...
\frac{n}{n} \cdot \binom{n - k}{k} + (-1)^k \cdot \frac{n}{n - k} \cdo...
But for small $n=8$, $k=3$, we use a constructive method.
Fix one station as selected. By rotational symmetry, fix station 1. Th...
So available: 3, 4, 5, 6, 7, excluding 2 and 8 → valid: 3–7.
We need 2 non-adjacent from {3,4,5,6,7}.
List all 2-element non-adjacent pairs in 5 consecutive positions:
Total: 6 valid pairs with station 1 selected.
But each selection is counted 3 times (once for each selected station)...
\frac{8 \times 6}{3} = 16

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