i) The given function is

The domain is



ii) For vertical asymptotes, we simplify the function to get;

The vertical asymptote occurs at


iii) The roots are the x-intercepts of the reduced fraction.
Equate the numerator of the reduced fraction to zero.



iv) To find the y-intercept, we substitute
into the reduced fraction.



v) The horizontal asymptote is given by;

The horizontal asymptote is
.
vi) The function has a hole at
.
Thus at
.
This is the factor common to both the numerator and the denominator.
vii) The function is a proper rational function.
Proper rational functions do not have oblique asymptotes.
Answer:
C. The given value is a statistic statistic for the year year because the data collected represent a sample sample.
Correct. The value reported is an statistic since represent a SAMPLE of the population of interest.
Step-by-step explanation:
The sample mean obtained was :

A. The given value is a parameter parameter for the year year because the data collected represent a population population.
False. The data colected represent a sample of the population of interest, so for this case is not a parameter because we don't have the information about all the population of interest.
B. The given value is a parameter parameter for the year year because the data collected represent a sample sample.
False. First the sample average is not a parameter, and second the population mean is not equal to the sample mean most of the times.
C. The given value is a statistic statistic for the year year because the data collected represent a sample sample.
Correct. The value reported is an statistic since represent a SAMPLE of the population of interest.
D. The given value is a statistic statistic for the year year because the data collected represent a population.
False. If is an statistic can't represent the population, since the parameter represent the population not the statistic.
<h3>
Answer: B) $1.75</h3>
===================================================
Explanation:
To get the unit cost, we divide the total cost over the number of pounds.
We can do this for any row
- row one: ($17.50)/(10) = $1.75
- row two: ($35.00)/(20) = $1.75
- row three: ($52.50)/(30) = $1.75
- row four: ($70.00)/(40) = $1.75
You don't need to show all four row calculations. You can simply pick one row.
This tells us that each pound costs $1.75
Put another way: the price is $1.75 per pound
Answer:
E is not a subspace of 
Step-by-step explanation:
E is not a subspace of
In order to see this, we must find two points (a,b), (c,d) in E such that (a,b) + (c,d) is not in E.
Consider
(a,b) = (1,1)
(c,d) = (-1,-1)
It is easy to see that both (a,b) and (c,d) are in E since 1*1>0 and (1-)*(-1)>0.
But (a,b) + (c,d) = (1-1, 1-1) = (0,0)
and (0,0) is not in E.
By the way, it can be proved that in any vector space all sub spaces must have the vector zero.