Tina thompson scored 34 points in a recent basketball game without making any 3-point shots. she scored 23 times, making several free throws worth 1 point each and several field goals worth two points each. how many free throws did she make? how many 2 point field goals did she make?

Write the system of equations represented by the matrix. 0 1 2 4 -2 3 6 9 1 0 1 3

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

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?