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\frac1150 = \boxed\frac1150 - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 assuming linearity, the function satisfies this by the very definition of linearity (additivity and homogeneity). Thus, the only functions meeting the criteria are those of the form \( f(x) = kx \). Since \( k \) can be any real number, there are infinitely many such linear functions, one for each real number \( k \). Therefore, the number of such functions is:

📌 \boxed{\infty}

📌 Question: The perimeter of a rectangle is 50. What is the largest possible area of the rectangle?

📌 Solution: Let the length and width of the rectangle be \( l \) and \( w \), respectively. The perimeter is given by:

📌 \[ 2l + 2w = 50 \quad \Rightarrow \quad l + w = 25. \]

📌 \[ A = lw. \]

📌 Express \( w \) in terms of \( l \): \( w = 25 - l \). Sub

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