Simplifying Radicals
sqrt (28x2y3)
2xy sqrt(7y)
sqrt (3k-11) = sqrt (5-k)
k=4
sqrt (x + 4) > 5
x>21
The number of bricks laid varies directly with the amount of time spent. If 45 bricks are laid in 65 minutes, how much time would it take to lay 500 bricks? (Round to the nearest minute)
722 minutes
What shifts have occurred to the following function from y = 2/x to result in y = 2/(x+3) - 7
5x4y2z3 sqrt(3yz)
sqrt (-10+7p) = p
sqrt (2x-3) < 7
3/2 < x < 26
A bottle of 150 vitamins costs $5.25. If the cost varies directly with the number of vitamins in the bottle, what should a bottle of 250 vitamins cost?
$8.75
sqrt (56x9y12)
2x4y6 sqrt(14x)
sqrt (162ab6c4)
9b3c2 sqrt(2a)
sqrt (2v-7) = v - 3
v = 4
x > 10
The number of revolutions made by a tire traveling over a fixed distance varies inversely with the radius of the tire. A 12-inch radius tire makes 100 revolutions to travel a certain distance. How many revolutions would a 16-inch radius tire require to travel the same distance?
75 revolutions
A printing company charges $18 to print 120 flyers. If the cost per flyer stays the same, how much would it cost to print 350 flyers?
$52.50
4m2n5 sqrt(5mn)
sqrt (3x+11) + 5 = x
x = 9
sqrt (x - 3) + 5 < 1
No Solution
The time to prepare a field for planting is inversely proportional to the number of people who are working. A large field can be prepared by 5 workers in 24 days. In order to finish the field sooner, the farmer plans to hire additional workers. How many workers are needed to finish the field in 15 days?
8 workers
What shifts have occurred to this sqrt function?
y = sqrt (x-4) + 5
cbrt (128c4d8e2)
4cd2 cbrt(2cd2e2)
-3 = sqrt (37 - 3n) - n
-3 sqrt (2x+6) + 12 > 0
-3 < x < 5
The time it takes to mow a large field varies inversely with the number of workers. If 6 workers can mow the field in 18 hours, how many workers are needed to mow the same field in 8 hours?
14 workers
What is the equation to the function graphed on Desmos? (Coach Poole will show this graph)
y = sqrt (-x+3) - 2