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:
A. y = -2/3x + 2
Step-by-step explanation:
Your is to isolate the y. The first thing you would do is subtract the 2x,
2x + 3y = 6
-2x =
3y = -2x +6
then to isolate the ,y, you would next divide everything by 3, so that the ,y, stays by itself.
3y/3 = -2x/3 +6/3
Simplify,
y = -2/3x + 2
Rate of discount = (old price - new price)/old price x 100 = (1280 - 1030)/1280 x 100 = 250/1280 x 100 = 19.5%
Amount of discount = old price - new price = $1,280 - $1,030 = $250
Answer: 990.9 .9+ 990
Step-by-step explanation: you have to do order of operations witch is PEMDAS so you do Parentheses then exponents multiplication or division and addition or subtraction but you do it depending how it starts and in this case you have to subtract the 2 numbers and then add the answer of the multiplication problem
Answer:
Step-by-step explanation:
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Given:
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Combine like terms.
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Add 12 to both sides.
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Divide both sides by 9.
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Hope this is helpful.
