\( f(x)=x^{2}-x-1 \). On pose \( x_{0}=2 \). a. Résoudre l'équation \( x^{2}-x-1=0 \). On note \( \Phi \) la solution positive de cette équation. b. Montrer que pour tout entier naturel \( n \), on a: \( x_{n+1}=\frac{x_{n}^{2}+1}{2 x_{n}-1} \). c. Soit \( g \) la fonction définie sur \( [1 ;+\infty[ \) par \( g(x)=\frac{x^{2}+1}{2 x-1} \). Étudier les variations de la fonction \( g \).

HOW DOES THIS ACTIVITY SHOW THE LOSS OF CONTROL AN ADDICTED PERSON EXPERIENCES?

Solve using the Quadratic Formula. \( \begin{array}{l}6 x^{2}+7 x-5=0 \\ x=\frac{-7 \pm i \sqrt{71}}{12} \\ x=-\frac{1}{2} \text { and } x=\frac{5}{3} \\ x=\frac{-7 \pm i \sqrt{71}}{2} \\ x=\frac{1}{2} \text { and } x=-\frac{5}{3}\end{array} \)

\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}

Solve the system by back substitution. \( \begin{array}{l}7)+4 y+5 z=3 \\ 4 y+3 z=0 \\ 2 z=8 \text { B) }(-5,-3,4) \\ \text { A) }(-6,-3,4)\end{array} \)

1. \( \frac{a+2}{a^{2}+2 a+4} \cdot \frac{a^{3}-8}{2 a^{2}-8} \)