Two trains, train a, and train b, simultaneously depart station a and station b. station a, and station b are 252.5 miles apart from each other. train a is moving at 124.7mph towards station b, and train b is moving at 253.5mph towards station a. if both trains departed at 10: 00 am and it is now 10: 08, how much longer until both trains pass each other?

Mr. walker gave his class the function f(x) = (x + 3)(x + 5). four students made a claim about the function. each student’s claim is below. jeremiah: the y-intercept is at (15, 0). lindsay: the x-intercepts are at (–3, 0) and (5, 0). stephen: the vertex is at (–4, –1). alexis: the midpoint between the x-intercepts is at (4, 0). which student’s claim about the function is correct?

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.

Which expression and diagram represent “renee biked four times as far this month as last month”?