For three matrices of equal size, a, b, and c, does it follow that a + (b + c) = (a + b) + c?
a. determine if the statement is true geometrically. let a be the matrix representing a reflection across the
y-axis. let b be the matrix representing a counterclockwise rotation of 30°. let c be the matrix representing
a reflection about the x-axis. let x be the point

b. confirm your results algebraically.
what do your results say about matrix addition?

What is the range? can’t seem to find it out

Aretha wanted to gather data about the cost of local bowling leagues in her area. she plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20. identify and interpret the y-intercept in this model. the y-intercept is 20. this is the cost per month. the y-intercept is 20. this is the cost of registration. the y-intercept is 15. this is the cost of registration. the y-intercept is 15. this is the cost per month.

Sam is picking fruit from a basket that contains many different kinds of fruit. which set of events is independent?