Which of the following is the quotient of the rational expressions shown below? Make sure your answer is in reduced form.
2x-1
.
x +1
3x?
x² + x
A.
3x2 + 2x - 1
x2 + 2x + 1
B.
2x-1
3x
C.
x² + 32-1
3x2 + x + 1
6x5 - 3x2
D.
++ 2x²+x
E.
6x4 - 3x
x2 + 2x + 1

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.

If y varies directly as x2 and y=6 when x=6, find the constant of variation.

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?