Give the next term and the nth term of 8,13,18,23,28

Find the vertex of the function given below y=x^2-6x+1

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

What is the measure of angle tvu shown in the diagram below