Let
f
be the function defined by
f(x)=
a
x
2
+bx+2
2
x
2
−8

, where
a
and
b
are constants. The graph of
f
has a horizontal asymptote at
y=3
, and
f
has a removable discontinuity at
x=2
.To make
f
continuous at
x=2
,
f(2)
should be defined as what value? Justify your answer.

You decide instead to take the train there. the train will take 135 minutes. convert this into hours and minutes.

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.

An internet company charges $8.95 per month for the first 3 months that it hosts your web site. then the company charges $11.95 per month for web hosting. how much money, in dollars, will the company charge for 8 months of web hosting?