How to find a rational function given 2 vertical asymptotes and an X intercept?
It’s question 20 by the way
Answers
Answer:
[tex]\frac{x-4}{(x+3)(x-5)}[/tex]
Step-by-step explanation:
Since the rational function has vertical asymptotes at -3, and 5, the denominator must equal 0 when x is -3 or 5. Therefore, the denominator must be:
(x+3)(x-5)
Now, to make the x-intercept at (4, 0), the numerator must be equal to 0 when x is 4. Therefore, the numerator must be:
x-4
Therefore, that rational function is:
[tex]\frac{x-4}{(x+3)(x-5_}[/tex]
Related Questions
1. A friend lends you $400 for a week, which you agree to repay with 5% one-time interest. How much will you have to repay?
Answers
Answer
a = 200 + 0.5 (200) = $210
Step-by-step explanation:
Prove: a^2+b^2/2 ≥ab
Answers
We know that the square of any number is greater than or equal to zero ;
So if have a number like x :
[tex]( {x})^{2} \geqslant 0[/tex]
_________________________________
Now we have a number which is
( a - b ) ;
So we have :
[tex]( {a - b})^{2} \geqslant 0 [/tex]
##############################
Reminder :
[tex]( {a - b})^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]
##############################
So we have :
[tex] {a}^{2} - 2ab + {b}^{2} \geqslant 0 [/tex]
Both sides plus 2ab :
[tex] {a}^{2} + {b}^{2} \geqslant 2ab [/tex]
Divided both sides by 2 :
[tex] \frac{ {a}^{2} + {b}^{2} }{2} \geqslant ab \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
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A line contains the points (45, - 52) and (48, -65). What is the slope of the line in simplified form?
Answers
The slope of the line is -13/3
Step-by-step explanation:
Equation for slope- change in y over change in x
-65-(-52) over 48-45 ... which simplifies to -13 over 3
... -13/3
What sybol is true for this equation? 9/5 - 7/5
<
>
=
Answers
Answer:
I think it's 9/5 > 7/5
Step-by-step explanation:
Well, because 9 has more value than 7. Please don't be mad if I'm wrong.
Answer:
9\5 IS GREATER THAN 7\5
Step-by-step explanation:
WELL IF YOU LOOK YOU WILL SEE NINE IS GREATER THAN 7 EASY MATH HOPE I COULD HELP. PLEAAE MARK BRAINLYIEST
-9(-2 -9)+(-16)-
——————
-8
Answers
Answer:[tex]-10\frac{3}{8}[/tex]
Step-by-step explanation:
I dont know if the live on the other side of 16 is a mistake but if it is than thats the answer above.
How do you write 2.8 × 10^5 in standard form?
Answers
Answer:
280,000
Step-by-step explanation:
10^5=100,000
2.8 x 100,000=280,000
Solve. 3(x-2)+17=2(x+7)
Answers
Answer:
3
Step-by-step explanation:
3x-6+17=2x+14
3x+11=2x+14
x=3
(6.2n - 8.3) + (-9.1 + 1.4n) simplify the expression
Answers
Answer:
7.6n−17.4
Step-by-step explanation:
Hope this helps :)
After simplification we get [tex]7.6n-17.4[/tex]
Given expression is,
[tex](6.2n-8.3)+(-9.1+1.4n)[/tex]
Now simplify,
[tex](6.2n-8.3)+(-9.1+1.4n)\\\\=6.2n-8.3-9.1+1.4n\\\\=6.2n+1.4n-8.3-9.1\\\\=7.6n-17.4[/tex]
Hence, after simplification we get [tex]7.6n-17.4[/tex]
Learn more:
https://brainly.com/question/12121002
Simplify using order of
operations.
52 + 3 x 8
P
E
MD
AS
The 2 is squared
Answers
Answer:
49
Step-by-step explanation:
Given expression:
5² + 3 x 8
The order of operation is:
P Parentheses
E Exponents
MD Multiplication and Division
AS Addition and subtraction
In this problem, first solve the exponent; 5² = 25
25 + 3 x 8
Now to the multiplication;
25 + 24 = 49
The solution is 49
please help me with domain and range of graphs Part 1
Answers
Answer:
see the attached for domainRange: (-∞, 4], [3, ∞), [-3, 1]Step-by-step explanation:
The domain is the horizontal extent of the graph. When the graph has arrows on the end, it extends to infinity in the indicated direction.
__
The range is the vertical extent of the graph.
Left Graph
We assume the curve is intended to touch, not cross, the line y=4, so the range is ...
range: (-∞, 4]
__
Middle Graph
We assume the graph continues along the line y=3 to the right indefinitely. Then this value is the minimum of the range.
range: [3, ∞)
__
Right Graph
The low point on the graph is at y=-3, and it looks like the graph continues to the right along the line y=1. Then the range is ...
range: [-3, 1]
wich graph and equation shows a proportional relation ship between x and y
1. y= 2.5 - 1.5
2. y= x= 1.5
3. y= 0.45x
4. y= 4.5
Answers
Answer: y=0.45x is the answer.
Step-by-step explanation:
How do you do this problem?
Answers
Answer:
400
Step-by-step explanation:
│an − L│< ε
│2 + (-1)ⁿ/√n − 2│< 1/20
│(-1)ⁿ/√n│< 1/20
1/√n < 1/20
√n > 20
n > 400
Find the distance between the parallel lines y=3x-1 and y=3x-11. Round
your answer to the nearest HUNDREDTH.
Answers
Answer:
x=1.5 y=-4.5
Step-by-step explanation:
What is the rate if change for y = x - 4
Answers
Answer:
The rate of change is 1
Step-by-step explanation:
This is because the slope is x, and -4 is just the y-intercept, which has nothing to do with the slope. Because the slope is x, that means that it is positive 1.
Answer:
Rate of Change = 1
Step-by-step explanation:
Rate of Change = Slope = m
y = mx + b
y = (1)x -4
m = 1
Solve the following system of equations
by substitution:
-X+y= -5
2x - 5y=1
Which ordered pair is the solution?
Help
Answers
Answer:
Step-by-step explanation:
y = x - 5
2x - 5y = 1
2x - 5(x - 5) = 1
2x - 5x + 25 = 1
-3x + 25 = 1
-3x = -24
x = 8
y = 8 - 5
y = 3
(8, 3)
dwayne used row operstions on an augmented matrix representing a system of equations and obtained the following result. how many solutions does dwayne's system of equations have?
Answers
Considering the given matrix, it is found that the number of solutions of the system of equations is given by:
B. 1.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The matrix form of the system can also be written as:
[tex]\left[\begin{array}{cc}1&0\\0&1\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}5\\6\end{array}\right][/tex]
Applying the multiplication of the matrices, we have that:
x + 0y = 5 -> x = 5.0x + y = 6 -> y = 6.Hence the system has one solution, given by (5,6), and option B is correct.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
Consider the population of the city of Beaumont. Over the course of a year, 800 people move into town. Of those that moved in, 180 have dark hair, 260 have red hair, and the remaining 360 are blonde. During this year a total of 1070 people move out, 470 with dark hair, 270 redheads, and 330 blondes. There are 223 newborns, 47 with dark hair, 90 with red hair, and 86 blondes. Finally, there are 168 deaths, 31 with dark hair, 66 with red hair, and 71 with blond hair. (Assume no one goes bald or changes their hair color.) What is the accumulation of red-haired people in Beaumont, for this year
Answers
Answer:
There were 14 red-haired people accumulated in Beaumont, for this year.
Step-by-step explanation:
The number of people who moved into town is = 800Number of dark haired people = 180
Number of red haired people = 260
Number of blonde haired people = 360
The number of people who moved out of town is = 1070Number of dark haired people = 470
Number of red haired people = 270
Number of blonde haired people = 330
The number of newborns in town is = 800Number of dark haired = 47
Number of red haired = 90
Number of blonde haired = 86
The number of deaths in town is = 168Number of dark haired people = 31
Number of red haired people = 66
Number of blonde haired people = 71
Compute the accumulation of red-haired people in Beaumont, for this year as follows:
Red hair = #Moved in - #Moved out + #Newborn - #Deaths
= 260 - 270 + 90 - 66
= 14
Thus, there were 14 red-haired people accumulated in Beaumont, for this year.
if a cliff 3ft above the sea level and the sea level is 0
how far is the cliff from
the sea level
Answers
Answer:
3ft bruh thx for points
Step-by-step explanation:
Find the distance between the points -6.2 and -9.8. Show your work.
Answers
Answer:
3.6
Step-by-step explanation:
subtract the numbers
Given f(x) = x2 – 2x, what is f(-6)?
Answers
-6*2-2*-6 is basically-12+12. The negatives make a positive
Help please?
Only right answers get five stars, and thanks.
Answers
Answer:
i know this isn't answering but this will help
Step-by-step explanation:
try the graphing Calculator app called Desmos
its free to use and easy to understand
hope this helped
Answer:
Slope:
−
3
2
y-intercept:
(
0
,
−
2
)
x
y
0
−
2
2
−
5
Step-by-step explanation:
Please answer I need help thank you
Answers
Answer:
what is the question
Step-by-step explanation:
what is the endpoints of 65.177
Answers
umm...
65= 5×13
117=3×3×13
therefore hcf of 65 and 177 is 13
so 65m _ 177=13
or 65m=130
therefore m=2
I need help please!!!
Answers
Answer:i think 39
Step-by-step explanation:
Solve for z.
z/4 −2
= 2
z =
Answers
Answer:
z=16
Step-by-step explanation:
z/4-2=2(take l.c.m)
or,(z-8)/4=2
or,z-8=8
z=16
Answer:
z = 16
I hope this helps!
The park has space for the base of the slide to be 7-feet wide. To keep the slide proportional to the model, what will the height of the slide be?
The slide will have a height of
feet.
Answers
Answer:
Step-by-step explanation:
It’s 6 feet
Answer:
The answer is 6
Step-by-step explanation:
I just did it on Edgenutiy
Everett is 6 ft in tall and casts a shadow 10 ft long. A flag pole next to him casts a shadow of 19 ft. How tall is the flag pole?
Answers
Answer:
31.7ft
Step-by-step explanation:
height of object /length of shadow
6/10=19/x
190=6x
x=31.666666666
Solve and check |2x + 1| = 9
Answers
Answer:
so the lines mean absolute value
which is the exact distance from zero that the number is
now
you subtract one from nine which makes it 2x=8
then
you divide nine by 2x which makes it
x=4
So the answer is four
if it helps mark me brainliest please
Answer:
-5,4
Step-by-step explanation:
I know that 2 numbers will work because it's an absolute function.
2x+1=9
2x=8
x=4
2(-5)+1=|-9| = 9
HELPPPPPPPPP
I WILL GIVE BRAINLIST TO WHOEVER ANSWERS CORRECTLY!! The graph below represents the path of a golf ball.
Answers
1. Linear
2. Yes, because it shows a curved line
3. Up, and Elevation
4. How high and far the ball goes.
Brainliest ??
What is the distance of Point A (4-i) from the origin of the complex plane?
Square root of 15
15
Square root of 17
17
Please someone help I will rate 5 stars
Answers
Answer:
1st im not sure
.
.
.
.
.pls rate 5 stars
