1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alekssandra [29.7K]
3 years ago
8

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

Mathematics
2 answers:
sleet_krkn [62]3 years ago
5 0

Answer:

x=2 is the vertical asymptote.

horizontal asymptote is y=0

Step-by-step explanation:

Find the vertical and horizontal asymptotes

y=\frac{x^3}{(x-2)^4}

To find out the vertical asymptote, we set the denominator =0 and solve for x

(x-2)^4=0

Take fourth root on both sides

x-2=0

Add 2 on both sides , so x=2 is the vertical asymptote.

To find horizontal asymptote , we look at the degree of both numerator and denominator

Degree of numerator is 3 and the degree of denominator is 4

When the degree of numerator is less than the degree of numerator then horizontal asymptote is y=0

Here, 3 so the horizontal asymptote is y=0

alexira [117]3 years ago
4 0
The answer is A. Just took the test and got it right. 
You might be interested in
4x + 1 over 3 y2
vampirchik [111]

Answer:

1/3 =0.33

Step-by-step explanation:

<em>ju</em><em>st</em><em> </em><em>subst</em><em>itute</em><em> </em><em>the</em><em> </em><em>va</em><em>lues</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>and </em><em>y</em><em> </em><em>int</em><em>o</em><em> </em><em>th</em><em>e</em><em> </em><em>exp</em><em>ression</em><em> </em><em>to</em><em> </em><em>get</em>

<em>4</em><em>(</em><em>2</em><em>)</em><em>+</em><em>1</em><em> </em><em>/</em><em>3</em><em>(</em><em>3</em><em>)</em><em>^</em><em>2</em>

<em>=</em><em>8</em><em>+</em><em>1</em><em> </em><em>/</em><em>3</em><em>×</em><em>9</em>

<em>=</em><em>9</em><em>/</em><em>2</em><em>7</em>

<em>=</em><em>1</em><em>/</em><em>3</em>

<em>=</em>0.33

4 0
3 years ago
Read 2 more answers
A large pizza at palanizo pizzeria costs 6.80$ plus 0.90$ for each topping. The cost of a large cheese pizza at guido’s pizza is
r-ruslan [8.4K]

we are going to create a table in excel and we will assign different values ​​of topping to know when the price is equal in both pizzerias

 

see the attached figure

 

the answer is

5 toppings from palanzio’s pizzeria

6 toppings from guido’s pizza

cost palanzio’s pizzeria----> 6.80+0.90*5-----> $11.30

cost <span>guido’s pizza------> 7.40+0.65*6----------> $11.30</span>

 

5 0
3 years ago
Simplify the expression. Write your answer as a power.<br> <img src="https://tex.z-dn.net/?f=%285%5E%7B4%7D%20%29%5E%7B3%7D" id=
Charra [1.4K]

Answer:

5^{12}

Step-by-step explanation:

Lets say there's a number 'x' and there's an expression (x^a)^b where 'a' & 'b' are also numbers , <u>the simplified form of the expression is </u>x^{a \times b}<u>.</u>

So ,

(5^4)^3 = 5^{4 \times 3} = 5^{12}

6 0
3 years ago
Join my server! ahywCt7VE7<br><br> Also 2-290= ?
anyanavicka [17]

Answer:

uhm if you mean 290-2 its 288 but if you mean 2-290 then its  -288

Step-by-step explanation:

mark me brainliest pls i just need 2 ,more

6 0
3 years ago
Read 2 more answers
The equation that passes through (3,6) and is perpendicular to 3x - 4y = - 2
Fynjy0 [20]

Answer:

C

Step-by-step explanation:

We want the equation of the line that passes through (3, 6) and is perpendicular to:

3x-4y=-2

First, convert the second equation into slope-intercept form:

-4y=-3x-2\Rightarrow \displaystyle y=\frac{3}{4}x+\frac{1}{2}

So, we can see that the slope of the line is 3/4.

The slopes of perpendicular lines are negative reciprocals of each other.

Therefore, the slope of the new line is -4/3.

It passes through the point (3, 6).

We can use the point-slope form:

y-y_1=m(x-x_1)

Substitute:

\displaystyle y-(6)=-\frac{4}{3}(x-3)

Distribute:

\displaystyle y-6=-\frac{4}{3}x+4

Therefore:

\displaystyle y=-\frac{4}{3}x+10

The answer is C.

5 0
3 years ago
Other questions:
  • Please me<br><br>please me noww​
    10·2 answers
  • The ratio 30 in. To 9ft in simplest form
    7·1 answer
  • How many different combinations are there of the digits 46987?
    13·1 answer
  • Nydia flips affair quarter twice. What is the probability that the coin will land on heads both times
    11·2 answers
  • Can you help me please 15=3-4x
    15·1 answer
  • Ardi and Lei are both travelling by train.
    13·1 answer
  • Can y’all help me please like bro omg idk
    7·2 answers
  • A scuba diver is swimming 28 feet below the water’s surface. The diver swims up slowly at a rate of 0.3 feet per second for 6 se
    12·2 answers
  • Question 1: In Math mean means..<br><br> A. average <br> B. divide<br> C. GCF<br> D. LCM
    7·1 answer
  • Solve for the following proportion for v.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!