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Home » If \( x + y = 10 \), then \( x^2 - y^2 = 4 \cdot 10 = 40 \) - Veritas Home Health

If \( x + y = 10 \), then \( x^2 - y^2 = 4 \cdot 10 = 40 \) - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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P(t) = 4t^2 - 16t + 20, \quad 0 \leq t \leq 6 \text{ hours}
Find the minimum power usage during this period.
Vertex of parabola: \(t = -\frac{b}{2a} = \frac{16}{8} = 2\)
P(2) = 4(4) - 16(2) + 20 = 16 - 32 + 20 = 4
Check endpoints:
\(P(0) = 20\), \(P(6) = 144 - 96 + 20 = 68\)
Minimum is 4 kW.
Answer:** \(\boxed{4}\)
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