Let b = {(1,2), (-2,4)} and b2 = {(1, -,1)}. (a) prove the set of vectors b, is independent. thus b, is a basis for r2 (b) compute pb1-b2. (c) let p(1,3), be a point given in coordinates in b1. what are the coordinates of p in the standard basis? what are the coordinates of p in the basis b2?

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. find the number.

If (x + 8) is a factor of f(x), which of the following must be true? both x = –8 and x = 8 are roots of f(x). neither x = –8 nor x = 8 is a root of f(x). f(–8) = 0 f(8) = 0