Cuál es la inversa de la matriz: \( \left[\begin{array}{lll}1 & 2 & 1 \\ 0 & 1 & 0 \\ 2 & 0 & 3\end{array}\right] \) a. \( \left[\begin{array}{ccc}-3 & 6 & 1 \\ 0 & 1 & 0 \\ 2 & 4 & -1\end{array}\right] \) b. \( \left[\begin{array}{ccc}-3 & 0 & 2 \\ 6 & 1 & 4 \\ 1 & 0 & 1\end{array}\right] \) c. \( \left[\begin{array}{ccc}3 & 0 & -2 \\ -6 & 1 & 4 \\ 1 & 0 & 1\end{array}\right] \) d. \( \left[\begin{array}{ccc}3 & -6 & 1 \\ 0 & 1 & 0 \\ -2 & 4 & 1\end{array}\right] \)

Le plan est muni d'un repère orthonormé \( (O, I, J) \). Soit la fonction \( g \) définie sur \( \mathbb{R} \backslash\{-1\} \) par : \( g(x)=\frac{2 x+5}{x+1} \). On désigne par (C) la courbe représentative de \( f \) dans le plan muni du repère \( (O, I, J) \). 1. a) Démontre que pour tout \( x \) élément de \( \mathbb{R} \backslash\{-1\} g(x)=2+\frac{3}{x+1} \). 2. Démontre que: \( \frac{g(-1-x)+g(-1+x)}{2}=2 \). 3. Justifie que le point \( A(-1 ; 2) \) est un centre de symétrie de (C). 4. a) Calcule \( g(4) \). b) Sans utiliser une des expressions de \( g \), calcule \( g(-6) \).

4. Diketahui \( f(x)=a \), maka \( f(2)=\ldots \) A. \( 2 f(x) \) B. \( 2 a \) C. 2 D. \( f(x) \) E. \( a \)

(a4) The solution set of the equation : \( \sqrt[3]{x^{2}}-3 \sqrt[3]{x}+2=0 \) is \( \{1,8\} \) \( \begin{array}{llll}\text { (a) }\{1, & \text { (b) }\{9,3\} & \text { (c) }\{8\} & \text { (d) }\{1\}\end{array} \)

Factor completely: \[ 32 v^{3}-2 v^{3} x^{4} \]

The height \( h \), in feet, of a projectile can bo modelod by the equation \( h(t)=-16 t^{2}+v_{0} t+h_{0} \) where \( t \) is the time in seconds, \( h_{0} \) is the projectile's ini height in feet, and \( v_{0} \) is the projectile's initial vertical velocity in feet per second. Solve the projectile motion problem by completing the square. A lacrosse playor throws a ball into the air from a hoight of 8 foet with an initial vertical volocity of 30 feot per second. When will the ball hit the groun Round to the nearest tenth of a second. Enter the correct value in tho box. Show Hints The ball will hit the ground in \( \square \) seconds.