19. The operation * on the set \( R \) of real numbers is defined by \[ a * b=\frac{2 a-1}{2}+b \text { for all } a, b \in R \] (a) Is the set \( R \) closed under \( * \) ? (b) Is the operation*commutative in (c) Is the operation* associative in \( R \) ? (d) Determine the identity element in

A. Déterminer la forme canonique de chacun des polynômes suivants : 1. \( P(x)=3 x^{2}-6 x+9 \) 2. \( P(x)=-5 x^{2}+3 x+12 \) 3. \( P(x)=9 x^{2}-7 x \)

1) \( y=6 x \)

Show A and Show B are two television shows. The number of eplsodes of each show are consecutive integers whose sum is 233 . If there are more episodes of Show B, how many episodes of each were there? Show A Show B episodes Submit Answer

Use the point-slope form to write an equation of the line with the given slope and point. Then write the equation in slope-intercept form. slope 4 , passes through \( (4,6) \)

Find the \( x \) - and \( y \)-intercepts of the graph of the equation. Do not graph the line. \[ \begin{array}{l}7 x+5 y=35 \\ x \text {-intercept } \quad(x, y)=(\square) \\ y \text {-intercept } \quad(x, y)=(\square)\end{array} \]