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Home » We want to find the **maximum value of $r$** for which this equation has a solution. - Silent Sales Machine

We want to find the maximum value of $r$ for which this equation has a solution. - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 c = \frac{60}{3} = 20

📌 Substitute \( c = 20 \) back into Equation 1:

📌 2(20) + d = 50

📌 d = 50 - 40 = 10

📌 Thus, the values of \( c \) and \( d \) are:

📌 \boxed{c = 20, \ d = 10}

📌 An entomologist is studying insect pollination and models the number of flowers \( F \) pollinated by bees as a quadratic function of time \( t \) in hours: \( F(t) = pt^2 + qt + r \). If 15 flowers are pollinated after 1 hour, 40 after 2 hours, and 75 after 3 hours, determine the values of \( p \), \( q \), and \( r \).

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