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:
Step-by-step explanation:
I think EFD because according to Google, "Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
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PEMDAS
multiply 2x2=4 and simplify the equation by looking for like terms to combine.
4+16x+y+34=0
4 and 34 are like terms so add them.
the simplified expression is 16x+y+38
Answer:
5/2
Step-by-step explanation:
Convert both fractions into improper fractions:
- To convert these fractions into an improper fraction you need to multiple the denominator with the mixed numeral/whole number. Then add that amount to the numerator. Do this for both fractions. This is what it should look like.
38/6 - 23/6.
The you subtract it
- 38/6 - 23/6 = 15/6
15/6 is your answer
If you want to simplify it the fraction it will be :
- 5/2
Answer:
Step-by-step explanation:
a) Estimate for population mean = Sum/n =
b) Variance = 0.099208
Std dev = 0.314974
Std error = 0.0950
For 95% margin of error = 1.96*Std error
=0.1861
Confidence interval = 
Interpretation of confidence interval:
A) if repeated samoles are taken, 95% of them will have a sample pH of rain water between [ ] & [ ].
For 99% CI, z value = 2.59
Conf interval = (4.6790, 5.1710)
C)if repeated samoles are taken, 99% of them will have a sample pH of rain water between [ ] & [ ].
As the level of confidence increases l, the width of the interval[ increases] this makes sense since the [ margin of error] [increases]
