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
Stella [2.4K]
3 years ago
11

Sketch the graph of each rational function showing all the key features. Verify your graph by graphing the function on

Mathematics
1 answer:
xenn [34]3 years ago
8 0

Answer:

Rational Function

Step-by-step explanation:

Gives the function:

f(x) = \frac{x}{x^2-9}

It has the following,

Domain

x∈ \mathbb{R} : x\neq 3, x\neq -3

Range

\mathbb{R}  (All real numbers)

End behaviour

As xx \rightarrow \infty, y \rightarrow 0

Horizontal and Vertical Asymptote

Vertical x = 3, x=-3

Horizontal y = 0

<em>x-intercept: (0,0)</em>

<em>y-intercept: (0,0)</em>

<em>**The Graph is in the annex</em>

You might be interested in
In 2000, the population of a county was 25,300,987. The population decreased at a rate of 2% each year. What was the population
EastWind [94]

Answer: In 2008 the population was 21,525,144

Step-by-step explanation:

You need to use the following formula for Exponential decay:

P=P_0(1-r)^t

Where P_0 is the initial population in the year 0, r is the rate of decay and t is the time.

In this case, you can identify that:

P_0=25,300,987\\\\r=2\%\\\\t=8

Therefore, substituting these values into the formula for Exponential decay, you get:

P=P_0(1-r)^t\\\\P=(25,300,987)(1-\frac{2}{100})^8\\\\P=21,525,144

Then, in 2008 the population was 21,525,144

6 0
3 years ago
A principal of $1,000 is invested in an account paying an annual interest rate of 6%.
Evgesh-ka [11]

A(t) = P(1+(r/n))^(nt)

A(5) = 1000(1+0.12/2)^(2*5)

A(5) = 1000(1.06)^(10)

A(5) = $1790.85

6 0
3 years ago
Read 2 more answers
Consider the sequence 1, –3, 9, –27, 81, … Which statement describes the sequence?
ludmilkaskok [199]

Answer:

There is a similar problem with the same numbers except with no negatives so it goes 1 , 3 , 9 , 27, 81 for this question the answer is that it diverges.

Step-by-step explanation:

It was on the unit test review for edge and the answer was that it diverges.

8 0
3 years ago
Read 2 more answers
What is the solution to this equation 1/2n^2+18=0
ololo11 [35]

Answer:

n = ±6 .

Step-by-step explanation:

A quadratic equation is given to us and we need to find out the solution of the given equation . The given equation is ,

\rm\implies -\dfrac{1}{2}n^2+18=0

Subtracting 18 both sides ,

\rm\implies -\dfrac{1}{2}n^2 = -18

Multiplying both sides by -2 ,

\rm\implies -2\times\dfrac{1}{2}n^2 = -2\times -18

On simplyfing , we get ,

\rm\implies n^2= 36

Putting squareroot both sides ,

\rm\implies n= \sqrt{36}

This equals to ,

\rm\implies \boxed{\quad\blue{\rm n =\pm 6 }}

<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> </u><u>n </u><u>is </u><u>±</u><u>6</u><u> </u><u>.</u>

6 0
3 years ago
Very buys a basket of mangoes that is priced $14 before tax. ​ ​The sales tax is 6%. ​ ​What is the total price Avery pays for t
igor_vitrenko [27]

Answer:

Avery needs to pay $14.84

Step-by-step explanation:

When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:

\frac{14}{x} = \frac{100}{6} \frac{\%}{\%}

Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:

x = \frac{14*6}{100}\\x = \frac{84}{100}\\x = 0.84

The value to be paid is the product value plus the tax, therefore:

\text{paid} = 14 + 0.84 = 14.84

Avery needs to pay $14.84

6 0
3 years ago
Other questions:
  • THE RIGHT ANSWER WILL RECIEVE A BRAINLEST AND POINTS AND THANXS!!!
    10·1 answer
  • What is the sst for the data set (1,5),(2,8),(4,14)?
    9·2 answers
  • Debby is working on her typing.
    14·1 answer
  • Find the x- and y- intercept of the line. -4x +2y =24
    7·2 answers
  • Help pleaseeeee it’s urgent!!!
    6·1 answer
  • In the diagram of circle A, what is the measure of _XYZ?<br> 35 70 75 140
    14·1 answer
  • All possible square root of 100
    15·1 answer
  • Easy question. giving brainliest<br> 7g+8(6g+3)=849<br><br> g=
    12·2 answers
  • A pizzeria makes pizzas in different sizes and with different toppings. The pizzeria wants its customers to have 12 options when
    10·1 answer
  • A cylinder has volume 120 cm3.What is the volume of a cone with the same radius and height? ? 40 cm 60 cm O 240 cm 360 cm 3​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!