What is the vertex of the graph of the function f(x) = 2(x − 2)2 + 3? Enter your answer in the boxes.

David and alton are training for a race. they spend 35 minutes stretching and then go on a 5 mile practice run. david runs at a pace of 7 min/mile. alton runs at a pace of 8 min/mile. write an equation for each runner that shows the total length of their workout. then solve each equation showing your work

Julius went on a volunteer trip to centralamerica and took medical supplies with him.he packed a bag with 50 pounds of supplies.he brought pieces of equipment that weighed10 pounds each and bottles of medicine thatweighed pound each prepresents thenumber of pieces of equipment he broughtand b represents the number of bottles ofmedicine he brought then the total weight canbe represented by the equation 10p+b 50.the brought 3 pieces of equipment, how manybottles of medicine did he bring?

What is the value of x in the equation 15(x + 4) - 3 = 4.5(x - 2)?