For every 1/4 metric ton it takes 1/8 hours
then multipling by 8 to make the hours =1
for every 2 metric tons it take 1 hour
so the quotient is 2 metric tons per 1 hour
The hurdle and runner form a right triangle (see attached picture) such that
sin(30°) = <em>h</em> / (5 ft)
and
cos(30°) = <em>x</em> / (5 ft)
where <em>h</em> is the height of the hurdle and <em>x</em> is the horizontal distance from where the runner jumps to the hurdle. So
<em>h</em> = (5 ft) sin(30°) = 5/2 ft = 2.5 ft
<em>x</em> = (5 ft) cos(30°) = (5√3)/2 ft ≈ 4.33 ft
Answer: y = 3 (x -4)^3
Step-by-step explanation: horizontal shift of 4 units to the right (subtract 4 units from the x): y = 3(x - 4)^3
Vertical shift 3 units down (subtract 3 units from the function): y = 3(x - 4)^3 - 3