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:
108
Step-by-step explanation:
The cubes has a volume 1/27 because 1/3 *1/3 *1/3 =1/27. Now we just take 4 and divide by 1/27. Which equals 108 cubes.
Answer:
Step-by-step explanation:
x/2
Answer:
Sample space = {(MTR), (MTV) (MPR) (MPV) (ATR) (ATV) (APR) (APV)}
Step-by-step explanation:
When they ask for the sample space they want to know all the possible combinations for:
Toppings Meats Dressings
M = Mushrooms T = Turkey R = Ranch
A = Asparagus P = Pepperoni V = Vinaigrette
The easiest way to see all the combinations is doing a tree diagram in which you put all the posible options, as in the image.
After that you just follow each of the lines to make all the posible combinations form which we get:
Sample space = {(MTR), (MTV) (MPR) (MPV) (ATR) (ATV) (APR) (APV)}
Answer:
-60
Step-by-step explanation:
<em>We'd solve anything inside the parentheses first:</em>
-5 * 4 = -20
<em>Now multiply:</em>
-20 * 3 = -60
Our answer would be -60
