The Logan family is renting a beach house from Aqua Coast Beach Rentals. Mr. Logan called the rental agency ahead of time to get the total cost for 9 days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of \( \$ 25 \) applied to their rental cost. The Logans will pay \( \$ 920 \) in all. Which equation can you use to find \( d \), how much the agency charges per day? \( 9 d-25=920 \) \( 9(d-25)=920 \) \( 25(d-9)=920 \) How much does the agency charge per day? \( \$ \$ \)

a. Déterminer la forme canonique de la fonction \( f(x) \). b. Dresser le tableau de variation de la fonction \( f \). c. Déduire de la question \( b \). le signe de \( f(x) \) suivant les valeurs du réel \( x \). Que peut-on en déduire concernant la courbe \( f(x) \) ? d. Retrouver le résultat de la question d. en résolvant l'équation \( x^{2}-8 x+17=0 \). e. Peut-on factoriser \( f(x) \) ? f. Tracer la courbe \( f(x) \).

\( 4x-6y+7 \)

\begin{tabular}{l} 10) Eló los valores de \( m \in \Re \) para que \( S=\{(0 ; 1 ; 1),(-m ; 3 ;-1),(1 ; 0 ; m)\} \) constituya una base \( \Re^{3} \) son: \\ \( \begin{array}{ll}\text { a) } \nexists m \in \Re & \text { b) } m \neq-2 \wedge m \neq 2 \\ \square \text { c) } \forall m \in \Re & \square \text { d) } m=-2 \wedge m=2\end{array} \) \\ \hline\end{tabular}

The expression \( x^{\frac{1}{3}} x^{\frac{1}{4}} \) is equivalent to \( x^{r} \) where \( r \), the exponent of \( x \), is:

The functions \( f \) and \( g \) are defined as follows \[ f(x)=-3 x+4 \quad g(x)=4 x^{2}-x \] Find \( f(3) \) and \( g(-2) \). Simplify your answers as much as possible. \[ f(3)=\square \] \( g(-2)=\square \)