q(x)= x 2 −6x+9 x 2 −8x+15 q, left parenthesis, x, right parenthesis, equals, start fraction, x, squared, minus, 8, x, plus, 1
AURORKA [14]
According to the theory of <em>rational</em> functions, there are no <em>vertical</em> asymptotes at the <em>rational</em> function evaluated at x = 3.
<h3>What is the behavior of a functions close to one its vertical asymptotes?</h3>
Herein we know that the <em>rational</em> function is q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15), there are <em>vertical</em> asymptotes for values of x such that the denominator becomes zero. First, we factor both numerator and denominator of the equation to see <em>evitable</em> and <em>non-evitable</em> discontinuities:
q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15)
q(x) = [(x - 3)²] / [(x - 3) · (x - 5)]
q(x) = (x - 3) / (x - 5)
There are one <em>evitable</em> discontinuity and one <em>non-evitable</em> discontinuity. According to the theory of <em>rational</em> functions, there are no <em>vertical</em> asymptotes at the <em>rational</em> function evaluated at x = 3.
To learn more on rational functions: brainly.com/question/27914791
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Answer:
1st one: -3,-4 away
2nd one: Lets just say I got kinda confused on that one so sorry for any inconvenience on my behalf from this question.
Step-by-step explanation:
I will call (-3,-4) Point A and I'll call (0,0) Point B. Point A is at (-3,-4) and Point B is obviously at the origin. That makes it easy, because you just subtract Point A by Point B to find how far away they are.
The answers are very blurry, but I think it would pop because of its fragile material rubbing against the sharp pointy rod. The air would then burst out of its container, the balloon, and spread in the atmosphere. Plz repost the picture so I could give you a more accurate answer choice
Answer:
- 9°C is less than -4°C
Step-by-step explanation:
The reason that why these temperatures are related because when we start counting the numbers from left, it becomes smaller. For ex- 3 is on the left of 5. So, 3 is smaller than 5. That's how when we start counting from the left in negative numbers, the negative numbers gets smaller.
Answer:
15%
Step-by-step explanation:
