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tankabanditka [31]
3 years ago
15

1/3x+y=4 help please?

Mathematics
2 answers:
professor190 [17]3 years ago
8 0
\frac{1}{3}x+y=4\ \ \ \ \ |subtract\ \frac{1}{3}x\ from\ both\ sides\\\\y=4-\frac{1}{3}x
klio [65]3 years ago
8 0
OK..... so we know 4-y=1/3x. multiply everything by 3... 12-3y=x
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F(x)= x-2/ x-4
hodyreva [135]

Answer:

The discontinuity is x = 4

There no holes

The equation of the vertical asymptote is x = 4

The x intercept is 2

The equation of the horizontal asymptote is y = 1

Step-by-step explanation:

* Lets explain the problem

∵ f(x)=\frac{x-2}{x-4}

- To find the point of discontinuity put the denominator = 0 and find

 the value of x

∵ The denominator is x - 4

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

* The discontinuity is x = 4

- A hole occurs when a number is both a zero of the numerator

 and denominator

∵ The numerator is x - 2

∵ x - 2 = 0 ⇒ add 2 to both sides

∴ x = 2

∵ The denominator is x - 4

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

∵ There is no common number makes the numerator and denominator

   equal to 0

∴ There no holes

- Vertical asymptotes are vertical lines which correspond to the zeroes  

  of the denominator of the function

∵ The zero of the denominator is x = 4

∴ The equation of the vertical asymptote is x = 4

- x- intercept is the values of x which make f(x) = 0, means the

 intersection points between the graph and the x-axis

∵ f(x) = 0

∴ \frac{x-2}{x-4}=0 ⇒ by using cross multiplication

∴ x - 2 = 0 ⇒ add 2 to both sides

∴ x = 2

* The x intercept is 2

- If the highest power of the numerator = the highest power of the

 denominator, then the equation of the horizontal asymptote is

 y = The leading coeff. of numerator/leading coeff. of denominator

∵ The numerator is x - 2

∵ The denominator is x - 4

∵ The leading coefficient of the numerator is 1

∵ The leading coefficient of the denominator is 1

∴ y = 1/1 = 1

* The equation of the horizontal asymptote is y = 1

6 0
3 years ago
can you plz help me with question 9 asp and if you get the answer plz show me how you got it or i will loose points on my homewo
olga2289 [7]
The answer is 123 I got the answer by multiplying length ×width×hight
6 0
3 years ago
Read 2 more answers
ABCD is a parallelogram and this figure is NOT drawn to scale.
dimulka [17.4K]
The angle does not matter. Think of it as finding the other side to a triangle. Use a ^{2} +b^2 =c^2

a=39 (line AB)
b=b (the leg we need to find)
c=89 (line BD)

39^2 + b^2 = 89^2
1521 + b^2 = 7921
(subtract the 1521 from both sides)
b^2 = 6400
(square root both sides)
\sqrt{(b^2)} =  \sqrt{6400} 


b = 80
AD=80
7 0
3 years ago
Read 2 more answers
Write a cubic function whose graph passes through the points.
SpyIntel [72]

Answer:

(0,9) (-1,0), (2,0), (3,0),

Step-by-step explanation:

add me on discord LD BrxzyYT#8144 :)

7 0
3 years ago
HELP!! PLEASE!!! QUICK!!! 30 PTS!!!
FromTheMoon [43]
X + 2/3 = -2(4/5x-7)
Is equivalent to -2(x+2/3)=4/5x-7
So the answer would be A
8 0
3 years ago
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