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:
52
Step-by-step explanation:
(2×5)+(8×5)+2
10+40+2
52
The number that is a perfect square is 16
Answer:
a ) hl
Step-by-step explanation:
thats it its rhs actually but hl is still correct
Answer:
The probability of picking a black card at random, from a deck with 3 black cards and 7 red ones is 0.3.
Step-by-step explanation:
We will assume that we have 3 black cards and 7 black cards, for a total of 10 cards. Since we are taking one card at random, we can assume that each card is equally likely to be drawn. We have the following event A: The drawn card is a black. We will find the probability of A as counting the number of outcomes that make A to occur and divide it by the total number of possibilities. We are drawing one card, so we have 10 possibilities to be picked. Out of those 10, only 3 cards are black, hence we have 3 possibilites of picking a black card.
Then,
P(A) = 3/10 = 0.3.