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Home » \( P(A \cup B) = P(A) + P(B) - P(A \cap B) \) - Nelissen Grade advocaten

\( P(A \cup B) = P(A) + P(B) - P(A \cap B) \) - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A virologist is studying the rate of viral spread, modeled by \( R(x) = rac{x^2 - 4x + 3}{x - 1} \). Determine the values of \( x \) where the rate \( R(x) \) is undefined and analyze the behavior as \( x \) approaches these values.

📌 The function \( R(x) = rac{x^2 - 4x + 3}{x - 1} \) is undefined where the denominator is zero. Set the denominator equal to zero:

📌 Thus, \( R(x) \) is undefined at \( x = 1 \).

📌 Next, analyze the behavior as \( x \) approaches 1. Factor the numerator:

📌 \[ x^2 - 4x + 3 = (x - 1)(x - 3). \]

📌 Thus, for \( x

📌 \[ R(x) = rac{(x - 1)(x - 3)}{x - 1} = x - 3. \]

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- 24 = 144
Thus, the sum of all even divisors of 60 is:
\boxed{144}
What is the remainder when the sum \( 1^3 + 2^3 + 3^3 + \dots + 10^3 \...
We use the formula for the sum of cubes:
Now compute \( 3025 \mod 11 \).
First, reduce 55 modulo 11:
\div 11 = 5 \quad \Rightarrow \quad 55 \equiv 0 \pmod{11}
55^2 \equiv 0^2 = 0 \pmod{11}
\equiv 0 \pmod{11}

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