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Ket [755]
3 years ago
8

Find the vertical, horizontal, and slant asymptotes, if any for y=x^3/ (x-2)^4

Mathematics
1 answer:
VashaNatasha [74]3 years ago
7 0
This has both a horizontal and a vertical asymptote.  There are no slant (oblique) asymptotes cuz the degree of the numerator is not higher than that of the denominator.  If the degree of the numerator is less than the degree of the denominator, which is our case here, then the horizontal asymptote is 0.  But we also have a vertical asymptote, which occurs where the denominator = 0.  We all know that we break every rule known to mankind if we try to divide by 0, so there also a vertical asymptote at x = 2.
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How do you answer this MATH
raketka [301]
X = 5 or x = 13.

If you need details, please ask!
7 0
3 years ago
Read 2 more answers
The points (1, 5) and (0, –2) fall on a particular line. What is its equation in slope-intercept form?
Savatey [412]

The equation of the line in slope intercept form is y = 7x - 2

<h3>How to find the equation of a line?</h3>

The equation of the line can be solved with the following equation.

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore,

m = -2  - 5 / 0 - 1 = -7 / -1

m = 7

Hence, using (1, 5)

y = 7x + b

5 = 7(1) + b

5 - 7 = b

b = -2

Therefore,

y = 7x - 2

Hence, the equation of the line in slope intercept form is y = 7x - 2

learn more on equation of a line here: brainly.com/question/14956513

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7 0
2 years ago
Anyone know 14!!!!! Please help me!!!!!:(
asambeis [7]

-- They're losing employees . . . so you know that the line will slope down, and
its slope is negative;

-- They're losing employees at a steady rate . . . so you know that the slope is
the same everywhere on the line; this tells you that the graph is a straight line.

I can see the function right now, but I'll show you how to go through the steps to
find the function.  I need to point out that these are steps that you've gone through
many times, but now that the subject pops up in a real-world situation, suddenly
you're running around in circles with your hair on fire screaming "What do I do ? 
Somebody give me the answer !".

Just take a look at what has already been handed to you:

0 months . . . 65 employees
1 month . . . . 62 employees
2 months . . . 59 employees

You know three points on the line !

(0, 65) ,  (1, 62) ,  and  (2, 59) .

For the first point, 'x' happens to be zero, so immediately
you have your y-intercept !    ' b ' = 65 .

You can use any two of the points to find the slope of the line.
You will calculate that the slope is negative-3 . . . which you
might have realized as you read the story, looked at the numbers,
and saw that they are <u>firing 3 employees per month</u>.
("Losing" them doesn't quite capture the true spirit of what is happening.)

So your function ... call it ' W(n) ' . . . Workforce after 'n' months . . .

is           <em>W(n) = 65 - 3n</em> .


4 0
3 years ago
Find the values of x and y. State which theorem(s) you used.
Usimov [2.4K]

The required simplified value of x and y is 32 and 84 respectively.

Given that,
To find the values of x and y. State which theorem(s) you used.

<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Vertical opposite angles

3x = 5x - 64
2x = 64
x = 32

Now,

5x - 64 = 5*32 - 64
            = 160 - 64

            = 96°
Now complementary angle y
y = 180 - 96°

y = 84°


Thus, the required simplified value of x and y is 32 and 84 respectively.

Learn more about simplification here:
brainly.com/question/12501526

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5 0
1 year ago
4. Calculate the product of 8/15, 6/5, and 1/3.
RSB [31]
A because the 6 and 3 cancel out
Then 2 x 8 is (16) and 15 x 5 is (75)
Making it A
6 0
3 years ago
Read 2 more answers
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