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Ket [755]
2 years ago
8

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

Mathematics
1 answer:
VashaNatasha [74]2 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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Antonio finished the race in 28 minutes and 11.00 seconds. Julio finished 0.08 second faster than Antonio. Pete finished 0.1 sec
max2010maxim [7]

Answer:

It took Peter 28 minutes and 10.82 seconds to finish the race.

Step-by-step explanation:

We have that:

t_{A}: Antonio = 28 min + 11.00 s (1)

t_{J}: Julio = A - 0.08 s  (2)

t_{P}: Pete = J - 0.1 s   (3)

Then, the time at which Pete finished the race is:

t_{P} = t_{J} - 0.1   (4)

By entering equations (1), (2), (3) into (4) we have:

t_{P} = (t_{A} - 0.08) - 0.1            

t_{P} = 28 min + 11.00 s - 0.18 s = 28 min + 10.82 s

Therefore, it took Peter 28 minutes and 10.82 seconds to finish the race.    

I hope it helps you!

5 0
3 years ago
Y=6<br> X+2y=16<br><br> Can someone one help me out its a substitution and system of equations graph
Nikitich [7]
If you know that y = 6. You just have to switch Y by 6.

x + 2y = 16
x + 2*6 = 16
x + 12 = 16
x = 16 - 12
x= 4

4 + 2*6 = 16

Hope this helps !

Photon
7 0
3 years ago
At a restaurant, 25% of the dinner plates are clean. There are 80 total dinner
pochemuha

Answer:

20

Step-by-step explanation:

7 0
2 years ago
What’s the answer for A B and C?
dimaraw [331]

Answer:

a = 2

b = 3

c = 8

Step-by-step explanation:

       First, let us look at the first two (far left) fractions to solve for a.

Since 2^5 = 2^5, nothing needs to change in the numerator. 4 = 2^{2}

    a = 2.

       Next, we will look at the first and third fractions to solve for b.

2^5 = 32

32 / 4 = 8

2^3 = 8

    b = 3

       Lastly, we will solve for c.

All of these fractions simplify to 8 and are equal to each other.

    c = 8

6 0
1 year ago
Which pair of numbers has a GCF of 3? Group of answer choices (A) 3 and 18 (B) 8 and 24 (C)12 and 18 (D) 1 and 3
Arte-miy333 [17]

Answer:

A, B and C

Step-by-step explanation:

A) 3 and 18 = has 3 as factor

B) 8 and 24 = has 3 as factor

C) 12 and 18 = has 3 as factor

D) 1 and 3 = has as factor of 1 and 3

so the answer is A, B and C

5 0
3 years ago
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