For a system of vectors U = {(1,2,9 ); (2,3, 1);(0,-1,1-9);(2,3,10);(1,0,2-9) } . a. Find the number of dimensions and a basis W of the subspace generated by the vector system U .
b. Find the parameter k so that u = (2,3,k3+1) is a linear combination of W , and deduce [ u]W .

F(x)=|x| is shifted down 4 units and to the right 3 units.

Joel wants to buy a new tablet computer fram a store having a 20% off sale on all tablets. the tablet he wants has an original cost of $190. he also wants to make sure he has enough money to pay the 5% sales tax. part one joel uses the incorect expression 0.95(190)(0.8) to calculate that the tablet will cost him a total of $144.40. describe his error and write the correct expression part two how much will joel pay for the tablet show your work if you answer this question correctly you will receive a prize of 99 points good luck

Including 6% sales tax, an inn charges $135.68 per night. find the inns nightly cost