Answer:
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
Step-by-step explanation:
Given
VA; [tex]x = 2[/tex]
SLA: [tex]y = 5x - 1[/tex]
Zero of function: [tex](-1,0)[/tex]
Required
Determine the rational function in expanded form
Analyzing the vertical asymptote
The vertical asymptote is given as:
[tex]x = 2[/tex]
Subtract 2 from both sides
[tex]x - 2 = 2 - 2[/tex]
[tex]x - 2 = 0[/tex]
This means that the denominator must be [tex]x - 2[/tex]
Analyzing the zero of the function
The zero of the function is given as: [tex](-1,0)[/tex]
This means that [tex]x = -1[/tex], when [tex]y = 0[/tex]
Equate [tex]x = -1[/tex] to 0 by add 1 to both sides
[tex]x + 1 =- 1 + 1[/tex]
[tex]x + 1 =0[/tex]
This means that one of the numerators must be [tex]x + 1[/tex]
Analyzing the slant asymptote:
[tex]y = 5x - 1[/tex]
This means that one of the numerators must be [tex]5x - 1[/tex]
Hence, the function is:
[tex]f(x) = \frac{(5x - 1)(x+1)}{x - 2}[/tex]
Expand the numerator
[tex]f(x) = \frac{5x^2 + 5x - x - 1}{x - 2}[/tex]
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
What is the area of a rectangle with a length of 3 ft and a width of 16.1 ft? 48.3 ft2 38.2 ft2 24.15 ft2 19.1 ft2
Pls help. I don't know how to do this and pls don't answer if you don't know the answer.
Answer:
m = 3 5/18
All you need to do is rewrite the equation as 8 1/9- 4 5/6
PLEASE HELP I HAVE A TIME LIMIT I WILL GIVE BRAINLIEST AND 5 STARS show your work rex mixed x liters of fruit syrup with y liters of water to make fruit punch three times the number of liters of water he used is equal to 6 more than twice the number of liters of fruit syrup he used the total number of liters of syrup and water he mixed was 7 liters what is the number of liters of fruit syrup and water that rex added to make the fruit punch
graph of lines 3 y equals 2x plus 11 and y equals minus x plus 7. Lines intersect at ordered pair 2, 5
graph of lines 3 y equals 2 x minus 4 and y equals minus x plus 7. Lines intersect at ordered pair 5, 2
graph of lines 3 y equals 2 x plus 6 and y equals minus x plus 7. Lines intersect at ordered pair 3, 4
graph of lines 3y equals 2x plus 1 and y equals minus x plus 7. Lines intersect at ordered pair 4, 3
I don't know if it's right tho :C
Answer:
The amount of fruit syrup Rex added is: 3 liters
and the amount of water he added is: 4 liters.
Step-by-step explanation:
3y = 2x + 6
x + y = 7
y = 7 - x
3(7 - x) = 2x + 6
21 - 3x = 2x + 6
21 - 6 = 2x + 3x
15 = 5x
15/5 = x
3 = x
x + y = 7
3 + y = 7
y = 7 - 3
y = 4
Solution is (3,4)
Sharon correctly answered 21 out of 24 questions on a math quiz. Which is this ratio as a decimal?
0.625
0.667
0.840
0.875
pls help♡
Answer:
0.875
Step-by-step explanation:
To find the decimal, you divide the 21 by the 24.
21/24 = 0.875
An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. Consider the trinomial 6x2 + 13x + 6. The value of ac is . The value of b is . The two numbers that have a product of ac and a sum of b are 4 and .
Answer:
1. ac = 36
2. b = 13
3. 4 and 9
Step-by-step explanation:
Given
6x² + 13x + 6
Required
Fill in the gaps
Solving (1): The value of AC
The general form of an equation is:
ax² + bx + c
By comparison:
a = 6
b = 13
c = 6
So,
ac = a * c
ac = 6 * 6
ac = 36
Solving (2): The value of b
In (1) above, we showed that
b = 13
Solving (3): Two numbers that satisfy product ac and sum b
We have that.
ac = 36
If one of the numbers is 4, then the other number is
Other number = 36/4
Other number = 9
Alternatively, we have that.
b = 13
If one of the numbers is 4, then the other number would be:
Other number = 13 - 4
Other number = 9
Answer:
ac = 36
b = 13
The two numbers that have a product of ac and a sum of b are 4 and 9
Step-by-step explanation:
Luna entered a raffle for a new pair of running shoes. She purchased 20 tickets and was told that she had a 20% chance of winning. How many tickets were sold? P (Luna winning) = StartFraction Number of tickets purchased over Total number of tickets sold EndFraction. 20 percent = StartFraction 20 over x EndFraction. One-fifth = StartFraction 20 over x EndFraction. x = tickets
Answer:
100 ticketsStep-by-step explanation:
Probability of winning = amount of tickets purchased/Total number of tickets
20% = 20/total number of tickets
20/100 = 20/total number of tickets
cross multiply
20 * total number of tickets = 20 * 100
20 * total number of tickets = 100
total number of tickets sold = 100 tickets
Answer:
100 tickets
Step-by-step explanation:
Hi and goodbye
what is the slope of y= -1/6x - 3/2
Answer:
-1/6
Step-by-step explanation:
Answer: -1/6
Step-by-step explanation:
Use the slope-intercept form y=mx + b to find slope m
please help and answer this question
Answer:
-2x+9
This is the answer you are looking for
YOUR WELCOME! :D
-6n-4n please help because I have an improvement test
Answer:
-10n
Step-by-step explanation:
-6n-4n=-10
standard form for y=mx+b
Answer:
that's standard form for slope
Step-by-step explanation:
have a nice day :)
use the diagram below to find the lengths of the following answer question 18-25. Be sure to include all necessary work. Leave your answer in the simplest radical form when necessary.
Answer:
18. AE = 6
19. BG = 6
20. CF = 5
21. GF = 2
22. CE = 3
23. AC = 3·√5
24. A_F = 10
25. DA = 3·(√5 - 1)
Step-by-step explanation:
Whereby the point C is the center of the circle, we have;
CB = CG = CE = 3 = The radius of the circle with center at C
CE = 3
CF = √(4² + 3²) = 5 by Pythagoras' theorem
CF = 5
GF = CF - CG = 5 - 3 = 2
GF = 2
BG = CB + CG = 3 + 3 = 6
BG = 6
Whereby, BC is a tangent to the circle with center, C, we have;
A_F = √(8² + 6²) = 10 by Pythagoras' theorem
A_F = 10
AE = A_F - EF = 10 - 4 = 6
AE = 6
AC = √(6² + 3²) = 3·√5 by Pythagoras' theorem
AC = 3·√5
DA = AC - CD = 3·√5 - 3 = 3·(√5 - 1)
DA = 3·(√5 - 1).
PLEASE HELP! 5TH GRADE MATH! Select the best estimate of the product of Select the best estimate of the product of 52 x 89 = ____
Answer:
400
Step-by-step explanation:
50x80=400, you just ignore the ones digits so its easy to solve. (5x8x100)
Sarah’s job at a cellphone store pays 6% commission on the sales she makes. She also makes $1400 base pay. What will Sarah’s total paycheck be if she had $4000 in sales?
Answer:
255
Step-by-step explanation:
What's 4/5 as a percentage?
Answer:
80%
Step-by-step explanation:
% is out of 100 so make the denominator of 4/5 to be 100:
4/5 times 20/20 = 80/100 = 80%
Answer:
80%
Step-by-step explanation:
4 divided by 5 equal .8
.8 x 100 equals 80
It's multiplied by 100 because usually percentages are out of 100.
OR
You can move the decimal in .8 to 2 space to the right
gas is 2.09 per gallon if nate filled up his car and spent 33.44 how many gallons did he put in his car
Answer:
16 gallons
Step-by-step explanation:
33.44 divided by 2.09 is 16, so he put 16 gallons in his car.
b -2 = 9/b-2
Answer ?
Step-by-step explanation:
I don't know if it's correct
Eliot needs to replace a window that is in the shape of a
semicircle.
K 1.5 ft
>
What is the area of the window? Use 3.14 for 1. Round your
answer to the nearest hundredth of a square foot.
353.25
a=(3.14*15^2)/2
a=706.5/2
a=353 sq in
I need help it khan 4q+3+2q-1
Answer: 6q + 2
Step-by-step explanation:
Hector has 10 cups of flour. Which equation shows how to determine the number of Two-fifths of a cup servings there are in the 10 cups of flour?
Answer:
10 divided by two fifths = 25
Mrs. Lodge is having new floor tiles installed in her kitchen. She is paying the flooring company $170.25 for the tiles and an installation fee of $3.78 per square foot. She receives a total bill of $586.05 for the job.
Which equation could be used to find the number of square feet (x) of tile Mrs. Lodge is having installed?
A.
170.25 − 3.78x = 586.05
B.
170.25 + 3.78x = 586.05
C.
170.25x + 3.78 = 586.05
D.
170.25x − 3.78 = 586.05
Answer: $170.25 + $3.78x = $586.05
Step-by-step explanation:
PLZ HELP ITS URGENT!!! Which of the following represents the value of the series below? Also maybe if possible, could you please add an explanation?
Answer:
first one
Step-by-step explanation:
the sum of (9k-4) =3542
so it will be the first one because
28((5+248)/2)=3542
Answer:
a
Step-by-step explanation:
cuz i milk da cows homie, all fo my edge brothas, no cap on jaw, j keepin it real fo yall homies
In a shopping district with a variety of stores, 9 of the stores sell jewelry. The jewelry stores make up only 3% of the shopping district. How many stores are in the shopping district?
Answer:
When I did this in middle school, the teacher made it unnecessarily difficult (-_-), so here`s my own method for you.
Finding 1%:
If 9 is 3%, then 3 is 1%. This method only works when the sides are divisible.
You can use the 1% to find the total, which is 100%.
3 stores (or 1%) x 100 = 300.
There are 300 stores in the shopping district.
Hope that helps
what is 3/4 divided by 1/2
Multiple Choice
What is the domain of the function below?
{(0, 2), (3, 1), (5,2), (8,4)}?
A. {1, 2, 4}
B. {0, 3, 5, 8}
C. {0, 1, 2, 3, 4, 5, 8}
D. {(0, 2), (3, 1), (5,2), (8,4)}
Domain is the x values.
The x values in the given function are: 0,3,5,8
The answer would be B. {0,3,5,8}
Is the following relation a function?
Answer:
yes
Step-by-step explanation:
A function is any graph that the x values do not repeat.
You can check this by using this vertical line test
Run your finger or a pencil down a specific vertical (top to bottom) line on the graph, if you can see that it intersects into the graph more than once, then it's not a function.
What’s the answer ? Im too tired fa this shi
Answer:
90-39=51 thats a 90° angle
7.5d = 2.5d Lin divided each side by 2.5d and Elena subtracted 2.5d from each side with both leads to the solution
Answer:
Elena's move will lead to the solution of the problem
Step-by-step explanation:
To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning
Given:
7.5d = 2.5d
Lin divides each side by 2.5d, Lin:
7.5d / 2.5d = 2.5d / 2.5d
3 = 1
This can not be the solution to the problem because 3 can not be Equal to 1
Elena subtracts 2.5d from each side
7.5d = 2.5d
7.5d - 2.5d = 2.5d - 2.5d
5d = 0
This can lead to the solution of the problem
Elena's move will lead to the solution of the problem
find the value for x!
Answer:
x=20
Step-by-step explanation:
3x+15=4x-5
20=x
What is the x intercept of the graph of 3x-y+6=0
Answer: It would be 2,0 :) Please tell me if I'm wrong
Step-by-step explanation:
Whats the reciprocal for -4
Answer:
It is n-1. Does this help any or not?
Answer:
1/4
Step-by-step explanation:
so -4 is basically -4/1, you flip that and change the negative symbol to positive, making it 1/4.