How does the graph of g(x)=2⌈x⌉ differ from the graph of f(x)=⌈x⌉? a. multiplying by 2 compresses the graph of g(x)=2⌈x⌉ vertically by a factor of 2. b. multiplying by 2 stretches the graph of g(x)=2⌈x⌉ vertically by a factor of 2. c. multiplying by 2 shifts the graph of g(x)=2⌈x⌉ up 2 units. d. multiplying by 2 shifts the graph of g(x)=2⌈x⌉ down 2 units.

In the image, point a marks the center of the circle. which two lengths must form a ratio of 1 : 2? (options are in the images since thought they were harmful phrases)

Graph the line that represents a proportional relationship between d and t with the property that an increase of 33 units in t corresponds to an increase of 44 units in d. what is the unit rate of change of dd with respect to t? (that is, a change of 11 unit in t will correspond to a change of how many units in d? )

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?