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Scilla [17]
10 months ago
13

What is the equation of the slant asymptote of the rational function?

Mathematics
1 answer:
marta [7]10 months ago
6 0

The equation of the slant asymptote of the rational function is; y = 2x - 3

<h3>What is the equation of the slant asymptote of the rational function?</h3>

We want to find the equation of the slant asymptote of the rational function given as;

f(x) = (10x³ - 15x² + x - 1)/(5x² - 2)

To solve this question, we will divide the numerator by the denominator.  The result (not including the remainder) will be the equation of the slant asymptote.

We can tell the first term of the quotient will be 2x since 10x³/5x² = 2x. Thus, the answer from the given options will be either 2x − 3 or 2x − 11/5.

The easiest method to apply here is to simply multiply these options by the denominator to get;

(5x² − 2) (2x − 3) = 10x³ − 15x² − 4x + 6

(5x² − 2) (2x − 11/5) = 10x³ − 11x² − 4x + 22/5

So the answer must be 2x − 3

Thus, the equation of the slant asymptote of the rational function is; y = 2x - 3

Read more about Equation of Slant Asymptote at; brainly.com/question/17256965

#SPJ1

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You purchased concentrated cleaner that must be diluted (watered down)
abruzzese [7]

Answer:

The volume of the concentrated 80 gallons mixture is 20 gallons

The volume of water in the 80 gallons mixture is 60 gallons

Step-by-step explanation:

The given parameters are;

The content of Container A = The cleaner

The concentration of the cleaner = 20% solution

The content of Container B = Pure water

The concentration of the desired solution = 5%

The volume of the required solution = 80 gallons

Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture

Therefore, we have;

20/100 × x + y×0 = 5/100×80

x + y = 80

y = 80 - x

20/100 × x + (80 - x)×0 = 5/100×80

0.2·x = 4

x = 4/0.2 = 20

x = 20 gallons

y = 80 - x = 80 - 20 = 60

y = 60 gallons

The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons

The volume of water in the 80 gallons mixture = y = 60 gallons.

8 0
2 years ago
One terameter equals 1012 meters. One micrometer equals 10 meter.
Butoxors [25]

Answer:

<h2>a)  10⁶metres</h2><h2>b) 10¹⁸metres</h2>

Step-by-step explanation:

Given One terameter equals 10¹² meters. One micrometer equals 10⁻⁶ meter, one nanometer equals 10⁻⁹meter;

a) The product of one terameter and one micrometer will be expressed as;

10¹²  * 10⁻⁶

Since the both have the same base, we will add their power according to one of the law in indices as shown

10¹²  * 10⁻⁶ = 10⁻⁶⁺¹²

= 10⁶metres

b) The quotient of one terameter and one micrometer can be gotten by taking their ratio as shown below;

Note that when taking the quotient, the power are subtracted

= \frac{10^{12} }{10^{-6} } \\= 10^{12-(-6)}  \\= 10^{12+6} \\= 10^{18}metres

3 0
3 years ago
This is not math but i need help <br><br><br>what is a allusion​
wariber [46]

Answer:

an expression designed to call something to mind without mentioning it explicitly; an indirect or passing reference.

Step-by-step explanation:

4 0
3 years ago
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A). A(n)= 46-n * (4-1)<br> B). A(n)= 46 - (n-1)*4<br> C). A(n)= 46 - 4^n-1<br> D). A(n)= 46 - 4^n+1
UkoKoshka [18]
I think it is answer C.
4 0
3 years ago
Gina has been present at school for 40 of the first 45 days of the school year. The school year is 180 days long. If Gina contin
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The answer is going to be 160.

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3 years ago
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