1) A picture should be centered on a wall. The picture is 3 feet wide. The wall is 15 feet wide. How much space should be on the left \( (x) \) and right \( (x) \) of the picture? \( x+3+x=15 \) \( 2 x+3=15 \) What is the value of \( x \) ?

Add. \[ \frac{-5}{8 w^{2} y}+\frac{3}{4 w y^{2}} \] Simplify your answer as much as possible.

The height \( h \), in feet, of a projectile can be modeled 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 initial 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 soccer player kicks a soceer ball from the ground with an initial vertical velocity of var : \( v 0 \) feet per secoad. When will the ball land back on the ground? Round to the nearest tenth of a second. Enter the correct value in the box. Show Hints The ball will land on the ground again in \( \square \) second(s).

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

Determine the geometric sequence if the second term is \( \frac{1}{9} \) and the sixth term is \( \frac{1}{729} \)

Factor completely: \[ 2 u^{4} w^{4}-2 w^{4} \]