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Home Question Bank Math Archive 2024 November 06

Math Questions from Nov 06,2024

Browse the Math Q&A Archive for Nov 06,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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b) \( \int\left(\frac{9 x^{4}}{6}-\frac{3 x^{3}}{7}+\frac{7 x^{2}}{5}-\frac{8 x}{9}+\frac{5}{8}\right) d x \) a. \( \quad f(x)=5 x \sqrt{25-x^{2}} \) Determine the number and type of solutions of the quadratic equation. \( -4 x^{2}-4 x-1=0 \) two imaginary solutions two real solutions one real solution one imaginary solution \begin{tabular}{l} Function Evaluation \\ \hline Given the function \( f(x)=24(0.71)^{x} \), evaluate each of the following. \\ Round answers to the nearest hundredth as needed. \\ \( \qquad f(-3)=67.03 \) \\ \( f(-1)=47.62 \) \\ \( f(0)=24 \) \\ \( f(1)=17.04 \) \\ \( f(2)=12.10 \) \\ \( f(3)=1 \)\end{tabular} Trabajando 8 horas al día, 2.500 obreros de una industria ensambladorà de motos, producen 500 motos en 30 días. ¿Cuántos días son necesarios para que 1.200 trabajadores produzcan 450 motos, trabajando 10 horas al día? 4. Gegeben sind die Funktionen \( f_{a} \) mit \( f_{a}(x)=x^{2}+a x+a, a \in \mathbb{R} \). a) Zeichnen Sie die Graphen für \( a=-1, a=0 \) und \( a=2 \) mit einem Rechner. b) Berechnen Sie den Wert von \( a \), für den der Graph von \( f_{a} \) seinen Tiefpunkt an der Stelle \( x=2,5 \) hat. Determine the number and type of solutions of the quadratic equation. \( x^{2}+10 x-25=0 \) one real solution one imaginary solution two imaginary solutions two real solutions Lin's bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels? (2) \( \left\{\begin{array}{l}6 x+5 y=23 \\ -4 y+y=-11\end{array}\right. \) I. \( \quad \) "Solve for \( \mathbf{x}^{\prime \prime} \) Write your solution. 1. \( 16^{2 x-3}=4^{x+2} \)
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