i) The given function is

We can rewrite in factored form to obtain;


The domain is



ii) To find the vertical asymptotes equate the denominator to zero.



iii) To find the roots, equate the numerator to zero.



iv) To find the y-intercept, substitute
into the equation.

We simplify to obtain;


v) The horizontal asymptote is

The equation of the horizontal asymptote is y=1
vi) The function does not have a variable factor that is common to both the numerator and the denominator.
The function has no holes in it.
vii) The given function is a proper rational function.
Proper rational functions do not have oblique asymptotes.
Answer:
2(x - 9.46)(x + 2.54)
Step-by-step explanation:
2(x² - 12x + 24)
since there are no factors that multiply to 24 and add to -12 then i used the quadratic formula to get:
6+2
, 6-2
Answer:
x = 128°
Step-by-step explanation:
123 + 109 + x = 360
x = 360 - (123 + 109)
x = 360 - 232
x = 128°
First 8.58
Second 8.508
Third 7.5
Fourth 7.058
Answer:
Some students were asked how many books they were carrying in their backpacks. The data is given in this frequency table. What is the mean number of pens carried by these students in their backpacks?
Pens Frequency
0 4
1 5
2 8
3 4
4 3
5 1
A.2
B.3.5
C.4
D.5.5