(linear algebra)
choose one of the following problems and determine whether the given set (together with the usual operations on that set) forms a vector space over r. in all cases, justify your answer carefully.
1. the set of polynomials of degree 5 or less whose coefficients are even integers.
2. the set of all polynomials of degree 5 or less whose coefficients of x^² and x^³ are zero.

Abike shop sells you a bicycle for $63 and a helmet for $21. the total cost is 150% of what the shop spent originally. how much did the shop spend originally? how much profit did the bike shop earn by selling the bicycle and helmet to you ?

What is the value of y? round to the nearest tenth

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.