1. Domain.
We have
in the denominator, so:
![x^2-2x-3\neq0\\\\(x^2-2x+1)-4\neq0\\\\(x-1)^2-4\neq0\\\\(x-1)^2-2^2\neq0\qquad\qquad[\text{use }a^2-b^2=(a-b)(a+b)]\\\\(x-1-2)(x-1+2)\neq0\\\\ (x-3)(x+1)\neq0\\\\\boxed{x\neq3\qquad\wedge\qquad x\neq-1}](https://tex.z-dn.net/?f=x%5E2-2x-3%5Cneq0%5C%5C%5C%5C%28x%5E2-2x%2B1%29-4%5Cneq0%5C%5C%5C%5C%28x-1%29%5E2-4%5Cneq0%5C%5C%5C%5C%28x-1%29%5E2-2%5E2%5Cneq0%5Cqquad%5Cqquad%5B%5Ctext%7Buse%20%7Da%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5D%5C%5C%5C%5C%28x-1-2%29%28x-1%2B2%29%5Cneq0%5C%5C%5C%5C%0A%28x-3%29%28x%2B1%29%5Cneq0%5C%5C%5C%5C%5Cboxed%7Bx%5Cneq3%5Cqquad%5Cwedge%5Cqquad%20x%5Cneq-1%7D)
So there is a hole or an asymptote at x = 3 and x = -1 and we know, that answer B) is wrong.
2. Asymptotes:
We have only one asymptote at x = -1 (and hole at x = 3), thus the correct answer is A)
Answer: y = 21x
Step-by-step explanation:
y in this expression represents the total amount of money, in dollars, the students raise from selling x flowerpots.
21 is the price of each flower pot.
x is the number of flower pots sold.
If for instance, they sold 30 flower pots, y(total amount in dollars) would be;
= 21x
= 21 * 30
= $630
Answer:
Answer: 4(x+1) over (x-5)
Step-by-step explanation:
Answer:
<em>The probability of obtaining the letter p twice is 1/121</em>
Step-by-step explanation:
<u>Probability of Recurring Events</u>
There are 11 letters in the word 'independent', one of which is the letter 'p'.
When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.
This means the individual probability of getting a 'p' is:
The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:
We'll use the multiplication rule. Just multiply the probability of the first event by the second.
The probability of obtaining the letter p twice is 1/121
82.75 minus the cost of the mug
Which equals 75 dollars and 75 divided by the cost of the refills which is 3.25 equals 24 refills
