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Lelu [443]
2 years ago
8

7B%202%20%7D%20-%2017%20x%20-%206%20%7D" id="TexFormula1" title="\frac { 5 x ^ { 2 } - 29 x - 6 } { 3 x ^ { 2 } - 17 x - 6 }" alt="\frac { 5 x ^ { 2 } - 29 x - 6 } { 3 x ^ { 2 } - 17 x - 6 }" align="absmiddle" class="latex-formula">
Factor

Find vertical and horizontal asymptote

Find oblique asymptote ​
Mathematics
1 answer:
olganol [36]2 years ago
4 0

Answer:

Step-by-step explanation:

Vertical Asymptote: x=2Horizontal Asymptote: NoneEquation of the Slant/Oblique Asymptote: y=x 3+23 Explanation:Given:y=f(x)=x2−93x−6Step.1:To find the Vertical Asymptote:a. Factor where possibleb. Cancel common factors, if anyc. Set Denominator = 0We will start following the steps:Consider:y=f(x)=x2−93x−6We will factor where possible:y=f(x)=(x+3)(x−3)3x−6If there are any common factors in the numerator and the denominator, we can cancel them.But, we do not have any.Hence, we will move on.Next, we set the denominator to zero.(3x−6)=0Add 6 to both sides.(3x−6+6)=0+6(3x−6+6)=0+6⇒3x=6⇒x=63=2Hence, our Vertical Asymptote is at x=2Refer to the graph below:enter image source hereStep.2:To find the Horizontal Asymptote:Consider:y=f(x)=x2−93x−6Since the highest degree of the numerator is greater than the highest degree of the denominator,Horizontal Asymptote DOES NOT EXISTStep.3:To find the Slant/Oblique Asymptote:Consider:y=f(x)=x2−93x−6Since, the highest degree of the numerator is one more than the highest degree of the denominator, we do have a Slant/Oblique AsymptoteWe will now perform the Polynomial Long Division usingy=f(x)=x2−93x−6enter image source hereHence, the Result of our Long Polynomial Division isx3+23+(−53x−6)

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Sloan [31]
It would have to be C.
8 0
3 years ago
Pls help me asap stuck on this
mylen [45]

Answer:

B

Step-by-step explanation:

Morning: 4\frac{7}{8} +1\frac{2}{3} =\frac{39}{8} +\frac{5}{3} =\frac{117}{24} +\frac{40}{24}=\frac{157}{24}

Afternoon: 3\frac{5}{6} +2\frac{7}{12} =\frac{23}{6} +\frac{31}{12} =\frac{92}{24} +\frac{62}{24}=\frac{154}{24}

Therefore, the hiker's hiked \frac{3}{24} more in the morning than in the afternoon.

3 0
2 years ago
Nick's rectangular bedroom has a length of (2x−5) and a width of (x+1). Which equation describes the area, A, of Nick's bedroom
Mrac [35]

Answer:

A = 2x²-3x-5

Step-by-step explanation:

Given that,

The length of the bedroom, l = (2x-5)

Width of the bedroom, b = (x+1)

We need to find an equation for the area of the bedroom. We know that,

Area of a rectangle = lb

Put all the values,

A = (2x-5)(x+1)

= 2x²+2x-5x-5

= 2x²-3x-5

Hence, the area of the bedroom is equal to 2x²-3x-5.

5 0
2 years ago
In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample
Rasek [7]

Answer:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

p = \frac{17}{25}=0.68

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

X \sim Binom(n=6, p=0.68)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727

6 0
3 years ago
Please help need help djhdhdhdj
suter [353]

Answer:

SAS

Step-by-step explanation:

3 0
2 years ago
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