Define the linear transformation T by T(x) = Ax. Find ker(T), nullity(T), range(T), and rank(T). A = 0 −4 2 8 0 19 (a) ker(T) (If there are an infinite number of solutions use t as your parameter.) (b) nullity(T) (c) range(T) {(s, 0): s is any real number} R2 R3 {(0, t): t is any real number} {(8s, 4t, 19s − 2t): s, t are any real number} (d) rank(T)

Use the multiplier method to incrases £258 by 43%

Eight people were asked what the balance of their savings account at the beginning of the month was and how much it increased or decreased by the end of the month. create a scatter plot that represents the data that is shown in the table. the x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the savings account in hundreds of dollars. name beginning balance (in thousands of dollars) change in savings account (in hundreds of dollars) jimmy 5 3 kendra 4 7 carlos 5 4 yolanda 3 1 shawn 2 5 laura 3 2 andy 5 6 georgia 4 3

Select the quadratic that has root x = 8 and x = -5