Let (an) be a bounded (not necessarily convergent) sequence, and assume lim bn = 0. Show that lim(anbn) = 0. Why are we not allowed to use the algebraic limit theorem to prove this?.

Someone answer asap for ! a ball is rolled down a ramp. the height, f(x), in meters, of the ball x seconds after it is released is modeled by the function f(x) = x²- 10x + 25 for all values of x from 0 to 5. which statement about the ball is true? a. the maximum height of the ball is 5 meters b. the height of the ball increases from 0 to 5 meters above the ground. c. the ball has traveled 5 meters when it reaches the bottom of the ramp. d. the ball has been traveling for 5 seconds when it reaches the bottom of the ramp

3x = 729 solve for x plz . it's urgent. will mark

Graph the system of equations. {6x−4y=−244x−8y=−32 use the line tool to graph the lines.