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]
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
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:
I need help it khan 4q+3+2q-1
Answer: 6q + 2
Step-by-step explanation:
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
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
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
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
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:
-6n-4n please help because I have an improvement test
Answer:
-10n
Step-by-step explanation:
-6n-4n=-10
b -2 = 9/b-2
Answer ?
Step-by-step explanation:
I don't know if it's correct
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:
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.
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:
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
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.
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
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
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 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)
What’s the answer ? Im too tired fa this shi
Answer:
90-39=51 thats a 90° angle
what is 3/4 divided by 1/2
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
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}
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
find the value for x!
Answer:
x=20
Step-by-step explanation:
3x+15=4x-5
20=x
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
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)
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.
please help and answer this question
Answer:
-2x+9
This is the answer you are looking for
YOUR WELCOME! :D
standard form for y=mx+b
Answer:
that's standard form for slope
Step-by-step explanation:
have a nice day :)