Answers
Answer:
Enter a problem...
Algebra Examples
Popular Problems Algebra Find the Asymptotes f(x)=10/(x^2-1)
f
(
x
)
=
10
x
2
−
1
Find where the expression
10
x
2
−
1
is undefined.
x
=
−
1
,
x
=
1
Since
10
x
2
−
1
→
∞
as
x
→
−
1
from the left and
10
x
2
−
1
→
−
∞
as
x
→
−
1
from the right, then
x
=
−
1
is a vertical asymptote.
x
=
−
1
Since
10
x
2
−
1
→
−
∞
as
x
→
1
from the left and
10
x
2
−
1
→
∞
as
x
→
1
from the right, then
x
=
1
is a vertical asymptote.
x
=
1
List all of the vertical asymptotes:
x
=
−
1
,
1
Consider the rational function
R
(
x
)
=
a
x
n
b
x
m
where
n
is the degree of the numerator and
m
is the degree of the denominator.
1. If
n
<
m
, then the x-axis,
y
=
0
, is the horizontal asymptote.
2. If
n
=
m
, then the horizontal asymptote is the line
y
=
a
b
.
3. If
n
>
m
, then there is no horizontal asymptote (there is an oblique asymptote).
Find
n
and
m
.
n
=
0
m
=
2
Since
n
<
m
, the x-axis,
y
=
0
, is the horizontal asymptote.
y
=
0
There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.
No Oblique Asymptotes
This is the set of all asymptotes.
Vertical Asymptotes:
x
=
−
1
,
1
Horizontal Asymptotes:
y
=
0
No Oblique Asymptotes
image of graph
The vertical asymptotes of the given function are x = 1 and x = -1,
We have given the rational function is 10/(x²-1).
We need to find the vertical asymptotes of this function.
Since Vertical asymptotes occur when the denominator of the function becomes zero and the numerator is not zero.
To determine the vertical asymptotes of the function, we need to solve the denominator for x²-1=0.
x²-1=0
x²=1
x=±√1
x=±1
Therefore, the vertical asymptotes of the given function are x = 1 and x = -1, since the denominator becomes zero at x=1 and x=-1.
To learn more about vertical asymptotes visit:
brainly.com/question/4084552
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Related Questions
write your answer as a fraction or as a whole or mixed number 4 4/5 times 2 1/5
Answers
Answer:
It would be 10 14/25
Step-by-step explanation:
You could use a calculator for this, but that’d be cheating so let me explain.
We make both of our fractions improper first
4 4/5 = 24/5
2 1/5 = 11/5
We won’t need to change the “bottom number“ since they’re already the same, so let’s multiply them now.
24 x 11 = 264
————
5 x 5 = 24
Ten 24s can fit into 264 so our final number is
10 14/25
What is the value of (–4) with an exponent of -3
Answers
Answer:
-64
Step-by-step explanation:
Because an exponent is basically a number repeated multiple times. So -4 x -4 x -4 would equal -64.
PLZ ANSWER!! ONLY ANSWER IF YOU ARE CORRECT!!
Answers
4b-8 = 180
4b = 188
B = 47
An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale. Let A be the amount of the sale in dollars and C be the charge of the online auction. Explain whether the solutions A=−5 and C=1.1 are viable. (1 point)
A. The solutions are viable because the amount charged is positive.
B .The solutions are not viable because the amount of the sale cannot be negative.
C. The solutions are viable because the amount of the sale is an integer.
D. The solutions are not viable because the amount charged is not a whole number.
Answers
Answer:
B .The solutions are not viable because the amount of the sale cannot be negative.
Step-by-step explanation:
In this scenario, the calculations would make sense since the online auction charges a flat fee of $1.20 plus 2% of the amount of the sale. Since the sale is said to be -5 the 2% would be -0.1 therefore, making the total charge $1.1 which is what is given in the question. Unfortunately, -5 is not a viable value for the sale because if a sale is made it means that money was paid to the seller and that would only be a positive integer not a negative one. Thus, making this solution not viable.
Which function translates each point on the graph of y=mx+b so that the slope of the segment from the original point to the translated point is 4/3?
g(x)=m(x+3)+b+4
s(x)=4/3x+b
t(x)=m(x−3)+b+4
h(x)=4/3mx+b
Answers
Function transformation involves changing the position of a function
The new function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]
The function is given as:
[tex]\mathbf{y = mx +b}[/tex]
The ratio of the slopes of both segments is given as:
[tex]\mathbf{Ratio = \frac 43}[/tex]
Let the slope of the new segment be m2.
The slope of [tex]\mathbf{y = mx +b}[/tex] is m.
So, we have:
[tex]\mathbf{m_2 : m = \frac 43}[/tex]
Express as fractions
[tex]\mathbf{\frac{m_2 } m = \frac 43}[/tex]
Multiply both sides by m
[tex]\mathbf{m_2 = \frac 43m}[/tex]
From the list of given options,
[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex] has a slope of [tex]\mathbf{m_2 = \frac 43m}[/tex]
Hence, the required function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]
Read more about function transformations at:
https://brainly.com/question/13810353
6 divided by 2/3 = tell me thee answer in fraction form
Answers
Answer:
There wouldn't be a fraction form because its a whole number which is 9
help me PLEASE I’m begging!!! ( question on photo
Answers
step by step explanation
Answer:
4.050 cm
Step-by-step explanation:
Multiply 2.25 and 1.8, make sure to add the decimal point!
answer correctly please !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
sanaol matalino
Step-by-step explanation:
kase dehins matalino
Two angles in a linear pair have a sum of 180 degrees. Since PAN and NAS have the same measure, divide 180 by 2. You would get 90 degrees, thus both angles are right angles.
Gina is using a grid to plan where to dig her garden. She has drawn this figure.
10
9
8
7
3
2
1
0 1 2
8 9 10
Gina decides to reflect her drawing so that Point G is at (1, 1). Which of the
following points will be a corner of her garden?
r
A (6,6)
B. (5, 1)
C. (0,0)
D. (5,7)
Answers
please may you help me quick timeee
Answers
Answer:
Step-by-step explanation:
tan e = x/(4x-1)
tan f = (6x+5)/(12x + 31)
since tan e = tan f
x/(4x-1) = (6x+5)/(12x+31)
x(12x+31) = (4x-1)(6x+5)
12x^2 +31x = 24x^2 +20x -6x -5
31x = 12x^2 +14x -5
0 = 12x^2 -17x -5
0 = (12x -5)(x -1)
x = 1, 5/12
How do you write 352 in expanded form
Answers
Answer:
300+ 50 + 2
Step-by-step explanation:
If you add 300+50+2 you get 352 all you need to do is break down the number to pieces! :)
Explanation:
The number 352 has 3 in the hundreds place, 5 in the tens place, and 2 in the ones place.
So that's why 352 = 300 + 50 + 2
Help me now plz it do in 30 min
Answers
Answer:
For the first row, write 5(0)-1 = 0-1. y is equal to -1.
For the second row, write 5(1)-1 = 5-1. y is equal to 4.
For the third row, write 5(2)-1 = 10-1. y is equal to 9.
For the fourth row, w rite 5(3)-1 = 15-1. y is equal to 14.
Step-by-step explanation:
Hope this helps!
Find the measure of m<CED
Answers
Answer:
I think it might be 4072 I forget how to do this kind of math sorry.
Step-by-step explanation:
The population of a town was 5000 in 2010. The population grows at a rate of 1.4% annually.
(a) Use the exponential growth model to write an equation that estimates the population t years after 2010.
(b) Estimate the population of the town in 2022. Show your work.
Answers
Answer:
a) P = 5000(1.014)^y
b) 5,908
Step-by-step explanation:
Here, we want to write an exponential growth model;
a)The model will be represented as;
P = 5000( 1.014)^y
where P is the population at a particular year after 2010
y is the number of years after 2010
b.) For 2022;
y = 2022-2010 = 12
P = 5000(1.014)^12
P = 5,908 approximately
(Please help!!) Arnold is paid a graduated commission on sales. He earns 7% on sales up to $10,000 and 10% on sales over that amount. His goal is to make $2,500 next month. How much will he need to sell?
Answers
Answer:
Step-by-step explanation:
10000*7%= $700.00
2500-700=1800
1800 is 10% of 18,000
So 18,000 +10,000 = 28,000 in sales is needed to get $2,500 in commission.
5)Write an algebraic equation for each statement, and then SOLVE for x
The sum of a number and six is fourteen. __________________________
The quotient of fifteen and a number equals three. __________________________
The product of seven and a number equals fifty-six. __________________________
The difference between the square of a number four is twelve. __________________________
One quarter of a number is ten. __________________________
Three times a number decreased by nine equals eighteen. __________________________
Ten less than half a number equals fourteen. __________________________
A number divided by eight is nine. __________________________
The product of double a number and three equals twenty-four. __________________________
The product of twenty and a number equals one hundred and forty.
Answers
Answer:
Step-by-step explanation:
1. x+6=14
14-6=8
x=8
2. 15/x=3
15/3=x
x=5
3. 7*x=56
56/7=8
x=8
4. x^2-4=12
x=4, x=-4
5. 1/4x=10
x/4 = 10
x = 40
6. 3x-9=18
x=9
7. 1/2x-10=14
x/2-10=14
x=48
8.x/8=9
8*9=72
x=72
9.2x+3=24
2x=21
x=21/2
10.20*x=140
140/20=7
x=7
[tex] \sqrt[4]{(132) \div (143)} - 2[/tex]
simplify plz fast
Answers
Answer:
Step-by-step explanation:
Answer:
fourth root of 12*13^3
-------------------------------- - 2
13
Step-by-step explanation:
First focus on the 132/143 expression inside the 4th root function.
132/143 = 12/13
and so we have:
fourth root of 12/13 - 2
We must rationalize the denominator of the expression shown above. In other words, 12/13 must be rewritten so that the denominator is the fourth power of 13. To do this, multiply that 12 by 13^3 and that 13 by 13^3:
12*13^3
fourth root of { -------------- }
13^3*13
This simplifies to:
fourth root of 12*13^3
--------------------------------
13
To obtain the final answer, subtract 2 as shown in the original problem:
fourth root of 12*13^3
-------------------------------- - 2
13
Y=6x+21
-x+3y=12
Find x and y please
Answers
Y=6x+21 can’t be changed
X=y/6-7/2
for the second
X=-12+3y
Y=4+x/3
A number y multiplied by —3 is less than
ore
Write this word sentence as an inequality.
An inequality is
Answers
Answer:
-3y < -2/5
Step-by-step explanation:
Multiplied means times
-3y
is less than means <
-3y < -2/5
1.maria’s age is five less than four times the age X of her son.Express Maria’s age as an algebraic expression
2.the length of a rectangle is three times the sum of five and its width X.express the perimeter as an algebraic expression
Answers
Answer:
1. m = 4x - 5
2. R = 3(5 + x)
Step-by-step explanation:
let x represent the age(X)
let M represent Maria's age(M)
m = 4x - 5
2.
Let R represent the length of a rectangle (R)
Let X represent it's width (X)
R = 3(5 + x)
solve an equation x/17= -4
Answers
Answer:
-68
Step-by-step explanation:
X/17=-4
X=-68
So the answer is -68
Solve this equation
2/3x−1/5x=x−1
Answers
Answer:
x=15/8
Step-by-step explanation:
Given: 2/3x-1/5x=x-1
Determine LCD: 10/15x-3/15x=x-1
Combine like terms: 7/15x=x-1
Get x on one side only: -8/15x=-1
Divide the coefficient on both sides: x=15/8
HELP NEEDED HELP! I SUCK at these
Answers
Answer:3:9
Step-by-step explanation: in this problem, it means "pears to apples". The "to" refers to the : . You put the amount of pears (3), then the "to" (:) then the amount of apples (9) to get your answer of 3:9. You can use this to help with other problems like this :D
Is quadrilateral ABCD a rectangle why or why not?
Answers
Answer:
Yes, quadrilateral ABCD is rectangle.
Step-by-step explanation:
This is because by looking at the terminology of ABCD, there are 4 variables in total together. This is also because when you see 4 variables together as one, it is a 4 sided quadrilateral.
Feel free to give brainliest.
Have an amazing day!
–1.0 ? |–4.4| Is it. Greater than. Less than or equal to
Answers
Answer:
Less Than
Step-by-step explanation:
Answer:
-1.0 is greater than -4.4
What is the value of x that makes the statement true?
9x - 22 = 11x - 54
x =
Answers
Answer:
Step-by-step explanation:
9x-22=11x-54 take 9x from each side
-22=2x-54 add 54 to each side
32=2x divide by 2
16=x
This table gives a few (x, y) pairs of a line in the coordinate plane.
x...........y
48 -30
61 -45
74 -60
What is the x-intercept of the line?
Answers
Answer:
The x-intercept is : (22, 0)
Step-by-step explanation:
From the table values, we determine that it is a straight line as there is a constant change in x and y values.
i.e.
Any previous value of y can be obtained by subtracting 15 from the successor y value.
i.e.
60 - 15 = 45
45 - 15 = 30
so if continue, we can also determine some of the other values of y such as
30 - 15 = 15
15 - 15 = 0
Also, there is a constant change in x values. so, any previous value of x is obtained by subtracting 13 from the successor x value.
i.e.
74-13 = 61
61-13 = 48
48-13=35
35-13=22
So, from the above analysis, we determine that when the value of y = 0, the value of x = 22.
We also know that the x-intercept is the point where the line crosses the x-axis. At this point y = 0.
so, at y = 0, the value of x = 22.
Therefore, the x-intercept is : (22, 0)
Answer:
(22, 0)
Step-by-step explanation:
I got it right on khan
Javier recibe $8.10 USD por cada pagina que traduce del español a l ingles. El mes pasado recibió un pago total de $550.8 USD. ¿Cuántas ´paginas tradujo en el mes?
Answers
at a school the number of boys: number of girls = 11 : 9
there are 124 more boys than girls
work out the total number of students at the school
Answers
b = boys
g = girls
[tex]b:g=11:9, b=g+124[/tex]
[tex]b=11g/9[/tex]
Insert in the second equation
[tex]11g/9=g+124[/tex]
Solve for g
[tex]11g=9g+124\cdot9[/tex]
[tex]2g=124\cdot9\implies g=62\cdot9=\boxed{558}[/tex]
Solve for b
[tex]b=g+124=\boxed{682}[/tex]
Hope this helps.
please helpp mecwith this question
Answers
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[tex] \frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\ [/tex]
[tex] \frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\ [/tex]
[tex] \frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\ [/tex]
[tex] \frac{1}{R} = \frac{3 + 2}{24} \\ [/tex]
[tex] \frac{1}{R} = \frac{5}{24} \\ [/tex]
Inverse both sides
[tex] \frac{R}{1} = \frac{24}{5} \\ [/tex]
[tex]R = \frac{24 \times 2}{5 \times 2} \\ [/tex]
[tex]R = \frac{48}{10} \\ [/tex]
[tex]R = 4.8 \: \: Ω[/tex]
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The correct answer is (( B )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️