ANSWER

EXPLANATION
We write the function such that both the numerator and the denominator are prime.
An example of a rational function with no vertical asymptotes and no holes is

For the above rational function, the denominator is never zero, so there are no vertical asymptotes.
Also the highest common factor for the numerator and the denominator is 1 so there are no holes.
First, note that

is always positive (except for x=0), so

must be always negative.
Thus, the only plausible graphs are 1 and 3 since they are below the x-axis.
Now,

and

are only defined for x≥0, because only for these x'es we can take the square root.
Note that the third graph has domain (-infinity, 0], so it is not the right one, while 1 is ok.
Answer: first graph
Answer:
C, 40
Step-by-step explanation:
You can set up the equation as 20+4x=180
180 is the total angle of the line
4x=160 and divide each side by 4
x=40
Parallel lines have the same slope.
So the graph of [ y = 3x + any number ] is parallel
to the graph of [ y = 3x - 10 ] .
Answer: 0.243.
Step-by-step explanation:
The probability in this case is approcimated by the probability distribution formula for random variables. This formula is denoted as:
P(X=r) = nCr * p^r * q^n-r
Where n = selected number to be sampled and in this case, n= 3
r = varied number of sample and in this case, r=1
P = probability of success and in this case p = 0.10
q = 1-p=1-0.1 = 0.9
P(X=1) = 3C1 × 0.1¹ × 0.9²
P(X=1) = 0.243.