In set of prime numbers P 2ℙ2, find the change-of-coordinates matrix from the basis Upper B equals StartSet 1 minus 2 t plus t squared comma 3 minus 5 t plus 4 t squared comma 2 minus 2 t plus 5 t squared EndSetB=1−2t+t2,3−5t+4t2,2−2t+5t2 to the standard basis Upper C equals StartSet 1 comma t comma t squared EndSetC=1,t, t2. Then find the B-coordinate vector for negative 6 plus 10 t minus 7 t squared−6+10t−7t2.

State whether weight is a function of height for the six students and explain. a. yes, height is a function of weight because two students weigh 165 pounds but have different heights. b. no, height is not a function of weight because two students weigh 165 pounds but have different heights. c. yes, weight is a function of height because for each value of height there is one corresponding value of weight. d. no, weight is not a function of height because there is not enough data to determine a function.

Complete the statements about the system of linear equation respresented by the tables the equation respented the left table is

X+y=-4 x-y=2 use elimination with adding and subtraction