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
Paraphin [41]
3 years ago
14

Let f(x)=20/1+9e^3x .

Mathematics
2 answers:
Alex777 [14]3 years ago
6 0
The answer is the last one
butalik [34]3 years ago
5 0

Answer:

y = 0 and y = 20

Step-by-step explanation:

The given function is \left(\frac{20}{\left(1+9e^{3x}\right)}\right)

There is no vertical asymptotes because the denominator will never be zero.

Horizontal asymptotes are given by

y=\lim _{x\to -\infty }f(x)\\\\y=\lim _{x\to \:-\infty \:}\left(\frac{20}{1+9e^{3x}}\right)

Take the constant 20 out of the limit

20\cdot \lim \:_{x\to \:-\infty \:}\left(\frac{1}{1+9e^{3x}}\right)

Now, we can further simplify as follows

y=20\cdot \frac{\lim _{x\to \:-\infty \:}\left(1\right)}{\lim _{x\to \:-\infty \:}\left(1+9e^{3x}\right)}\\\\y=20\cdot \frac{1}{1}\\\\y=20

Similarly, the second horizontal asymptote is

y=\lim _{x\to \infty }\left(\frac{20}{\left(1+9e^{3x}\right)}\right)

We can simplify this limit as we did the previous one

y=20\cdot \frac{\lim _{x\to \infty \:}\left(1\right)}{\lim _{x\to \infty \:}\left(1+9e^{3x}\right)}\\\\y=20\cdot \frac{1}{\infty \:}\\\\y=0

Hence, asymptotes of the graph of f(x) are

y = 0 and y = 20

You might be interested in
Find the value of x and the value of y
steposvetlana [31]

Answer:

B.   x = 7, y = 4√2

Step-by-step explanation:

Drop a vertical from the upper left corner

This creates a rectangle and a 45-45-90 triangle

The bottom of the rectangle is 3

The legs of the triangle are 4

Therefor

x = 4 + 3

x = 7

For a 45-45-90 triangle

the hypotenuse = leg * √2

y = 4√2

4 0
2 years ago
Work the following problem
neonofarm [45]

Answer:

Option B is the correct answer.

Step-by-step explanation:

Given

List Price=$720

The percentage of discount=13%

In order to find the amount of discount, 13% of the amount has to be calculated. To calculate 13% , the amount is multiplied by 13/100.

Amount of discount=13% of list price

=720*13/100

=720*0.13

=$93.60

The amount of discount is $93.6..

5 0
3 years ago
What is the answer for 222,702 round to the nearest ten thousand
Dafna11 [192]

222,702 rounded to the nearest ten thousand would be 220,000

5 0
3 years ago
PLEASE HELP I RLY NEED THIS! I BEG YALL PLEASE HELP ME !
GalinKa [24]

Answer:

The answer would be 30/13.

Step-by-step explanation:

Votes for the skating rink= 30

Votes for the bowling alley= 13

Ratio of the # of votes for skating <u>TO</u> the # of votes for the bowling alley= 30/13.

Hope this helps! :)

8 0
2 years ago
The sector of a circle shown to the left has its center at point OO. The arc XYZXYZ has length 10.810.8, and the central angle X
BARSIC [14]

Answer: Length of the radius of the sector is 6 units.

Step-by-step explanation:

Since we have given that

Length of an arc = 10.8

Radian of a central angle = 1.8

First we convert radian into degrees,

1\ radian= 57.295779513\textdegree\\\\1.8\ radians=1.8\times  57.3\textdegree\\\\1.8\ radians=103.14\textdegree

As we know the formula for "Length of an arc":

\text{Length of an arc}=\frac{\theta}{360\textdegree}\times 2\pi r\\\\10.8=\frac{103.14}{360\textdegree}\times 2\times \frac{22}{7}\times r\\\\10.8=1.8r\\\\r=\frac{10.8}{1.8}\\\\r=6

Hence, Length of the radius of the sector is 6 units.

3 0
2 years ago
Other questions:
  • A diner has collected data about customer coffee-drinking habits. They have calculated that P(cream) = 0.5, P(sugar) = 0.6, and
    15·2 answers
  • The circumference of a circle F is about 25 cm
    15·1 answer
  • Step 1: pick a number
    15·1 answer
  • -13.11-8.67-18.1f=-16.1f+.22 solve for X
    6·1 answer
  • Please Help Me ASAP<br> Picture Included
    11·2 answers
  • An irrational number between 5 and 7
    12·1 answer
  • Sandra has 46 fewer coins than Martha. Sandra has 57 coins . how many coins does Martha have?
    11·1 answer
  • How many different 4-digit numbers can be made from the digits 0, 1, 3, 5, and 7 if no digit is repeated in a number and zero ca
    9·1 answer
  • Write and solve an inequality that represents the number of days driven without the warning light coming on. Explain clearly wha
    11·1 answer
  • Find the y-intercept and x-intercept of the line.<br> −5x+6y=9
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!