1. (10 points) Let ei = (1,0), e2 = (0,1), yı = (2,5), and y2 = (-1,6). Let T:R2 + R2 be a linear transformation that maps e into yı and maps
e2 into y2. Find the image of (5, -3) under T. Is T onto? one-to-one?
Justify your answer.

How do the graphs of y = 1/x and y=5/x+6 compare?

11. minitab software was used to find the lsrl for a study between x=age and y=days after arthroscopic shoulder surgery until an athlete could return to their sport. use the output to determine the prediction model and correlation between these two variables. predictor coef se coef t p constant -5.054 4.355 -1.16 0.279 age 0.2715 0.1427 1.9 0.094 r-sq = 31.16%

Lin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. she knows that the total cost to download 3 videos was $12. her work to find the equation is shown below. joylin’s work step 1 k= 3/12= 0.25 step 2 y= 0.25x where did joylin make her first error?