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
ra1l [238]
3 years ago
15

Consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)

Mathematics
2 answers:
klemol [59]3 years ago
8 0

Answer:

Consider the following equation:

Name the vertical asymptote(s).

A). x = -1 and x = 2

__________________________________________________________

because E). this is where the function is undefined

__________________________________________________________

                       x^2 + 4

 f (x) =         ------------------

                   4x^2 - 4x - 8

Name the horizontal asymptote(s).

D). v = 1/4

__________________________________________________________

because B). m = n

zhenek [66]3 years ago
3 0

ANSWER

The vertical asymptotes are


\Rightarrow x=2\:or\:x=-1

<u>EXPLANATION</u>

We have

f(x)=\frac{x^2+4}{4x^2-4x-8}


For vertical asymptotes we set the denominator to zero and solve the quadratic equation;

4x^2-4x-8=0


\Rightarrow x^2-x-2=0

We split the middle term to obtain,

x^2+x-2x-2=0

\Rightarrow x(x+1)-2(x+1)=0


\Rightarrow (x-2)(x+1)=0


\Rightarrow x=2\:or\:x=-1


Therefore the vertical asymptotes are


x=2\:or\:x=-1





You might be interested in
John Doe estimates that the price elasticity of demand for new SUVs to be 0.75. If the price of SUVs rose by 15%; would the quan
Charra [1.4K]
If the coefficient of demand for the SUV is 0.75 this means that it has a relatively inelastic demand since it is less than. In other words, there is only a little alteration in demand when prices change.
So when the price of SUV rise by 15%, and it has a coefficient of 0.75, we can anticipate only 11.25% decrease in its demand. This is for the reason that the SUVs do not have many substitutes for it.
So to solve:
(x/15%) = 0.75
Then simply solve for x:
 x = (0.75)(0.15) = 11.25%
4 0
2 years ago
ABC bank requires a 20% down payment on all of its home loans if a house is priced at 185000 what is the amount of the down paym
Alekssandra [29.7K]

It would be 37’000 because 20% of 185000 is 37’000 which you get by 20 x 185000 and dividing the answer to 100.

3 0
3 years ago
If u evenly divide 3/4 of a pizza among 3 people. How much will each person get?
Dafna11 [192]
I’m pretty sure it’s 2 but i’m not 100 percent on that
7 0
3 years ago
Equation for ( 6, 13) ( 7900, 5 )
tia_tia [17]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

y=mx+b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

(x_ {1}, y_ {1}) :( 6,13)\\(x_ {2}, y_ {2}): (7900,5)

We find the slope of the line:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-13} {7900-6} = \frac {-8} {7894} = - \frac {4} {3947}

Thus, the equation of the line is of the form:

y = - \frac {4} {3947} x + b

We substitute one of the points and find b:

13 = - \frac {4} {3947} (6) + b\\13 = - \frac {24} {3947} + b\\13+ \frac {24} {3947} = b\\b = \frac {51335} {3947}

Finally, the equation is:

y = - \frac {4} {3947} x + \frac {51335} {3947}

Answer:

y = - \frac {4} {3947} x + \frac {51335} {3947}

5 0
3 years ago
Write an equation to represent the following statement.<br> The sum of j and 47 is 55<br> .
scZoUnD [109]

Answer:

j + 47 = 53

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Give me example of a unit rate used in real life
    12·1 answer
  • Find the missing term in each pair of equivalent ratios <br> ____:13=48:104
    15·1 answer
  • Can someone help with this question
    15·1 answer
  • What two numbers have: <br> A sum of 17 and a difference of 1 ?
    8·1 answer
  • write an equation of the line that passes through (-1,7) and is parrallel to the line whose equation is y=-2x-5
    8·1 answer
  • What is the function f(x) = 2(x + 6), find x if f(x) = 22
    8·1 answer
  • PLEASE HELP ASAP #12!!!
    8·2 answers
  • Add. Write your answer in simplest form. 5 3/4 - 2 11/12
    6·1 answer
  • Mrs.dimitri purchased a caasw of yogurt cups. Out of every 10 yogurt cups. 6 are strawberry. There are 30 yogurt cups in the cas
    5·1 answer
  • HHHHEEEELLLLPPPPP<br> PPPPLLLLLLSSSSS<br> 10 points
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!