The first thing to is factor the denominator of the rational function:
to do this we'll need to find two number whose product is -3 and its sum is -2; those numbers are 1 and -3, so:
Now we can rewrite our rational function as follows:
Notice that we have a common factor (x-3) in both numerator and denominator; therefore we can cancel them:
Taking all the above into consideration we realize that x=3 is a removable discontinuity; the correct answer is the first one: there is a hole in x=3 and asymptote at x=-1.
Answer:
512 inches cubed
Step-by-step explanation:
2/3 of a foot= 8in
8x8x8 or 8^3= 512
512 inches cubed
Step-by-step explanation:
quantitative variables are any variable where the data represent amount . for example height ,weight or age.
categorical variables are any variable where the data represent group. for example eye colour.
the best way to represent data by frequency table,pie chart and bar chart.
Factorize both the numerator and denominator then equate to zero ...you'll get X
Answer:
a) 
b) 
c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
Step-by-step explanation:
Information given
represent the mean for 1
represent the mean for 2
represent the population standard deviation for 1
represent the population standard deviation for 2
sample size for the group 1
sample size for the group 2
z would represent the statistic
Hypothesis to test
We want to check if the two means for this case are equal or not, the system of hypothesis would be:
H0:
H1:
The statistic would be given by:
(1)
Part a
Replacing we got:
Part b
The p value would be given by this probability:
Part c
Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
