PLEASE ANSWER ASAP!!Find a rational function that might have the given graph. (More than one answer might be possible.)
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Answer:
The rational function that might have the given graph is [tex]y = - \frac{x}{(x+1)\cdot (x-1) }[/tex].
Step-by-step explanation:
This graph shows a rational function whose numerator is a first order polynomial and denominator is a second order, due to the presence of vertical asymptotes at [tex]x = -1[/tex] and [tex]x = 1[/tex]. The lead coefficient of the numerator must be 1, since horizontal asymptote must be [tex]y = 0[/tex] and intercept must be [tex]0[/tex], since [tex]y(0) = 0[/tex].
Then, we conclude that a rational function that might have the graph is:
[tex]y = - \frac{x}{(x+1)\cdot (x-1) }[/tex] (1)
We present the proof that given function is appropriate.
Related Questions
Midpoint................
Answers
Answer:
EG =7
Step-by-step explanation:
Please mark me brainliest and 5 star
Answer:
[tex]7[/tex]
Step-by-step explanation:
[tex]look \: picture[/tex]
[tex]pls \: mark \: as \: brainliest[/tex]
What is the percent of change from 8,000 to 2,000?
Answers
Answer:
75% markdown
Step-by-step explanation:
If I am not mistaken, you can input this into everyday values like a shirt.
For example: If a shirt costs $8 but is on special for $2 then it is 75% off. Since 2 goes into 8 four times, 2 can be considered 25%. So since percent almost always add up back to 100, you take 100- 25 and you get a 75% markdown.
Or so I think, don't quote me on this.
Find the distance between a and b
Answers
Answer:I believe it is 2.4
Step-by-step explanation:
50 POINTS!!!!
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+212x+139
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Hope this helps
8 1/4 hours of work for a total pay of $99.00 What is the unit rate :)
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Answer:
$12 per hour
Step-by-step explanation:
8.25 hours for $99
99/8.25 = 12
$12 per hour
The class can contain at most 28 students.
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Answer:
s < 28
Step-by-step explanation:
3/8 divided by 4????
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Answer:
um Yess?
Step-by-step explanation:
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LOOK A PICTURE HURRY PLS LIKE RIGHT NOW
Answers
Answeri think it’s 96 or 84 I’m. It sure I had this like 3 years ago
Step-by-step explanation:
I can write linear equations
1. Through: (-1,3), Slope=2
2.Through: (3,3), slope= -2
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2. Y= -2x-3
Does this graph represent a function? Why or why not? 10 22 -10B2 10 8 A. No, because it fails the vertical line test. B. No, because it is not a straight line. C. Yes, because it passes the vertical line test. O D. Yes, because it has two straight lines.
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Answer: I need to see the graph
Step-by-step explanation:
What linear function models the table of values?
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What is the measure of angle c? Pls hurry
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Answer:
I think the answer is 43
Step-by-step explanation:
Because b=83
The total value of triangle angles =180
So 54+83=137
180-137=43
write the equation of the line AB with A (3,4) B(6,8)
Help pleassse :)
Answers
Answer:
y = (4/3)x.
or in standard form it is
-4x + 3y = 0.
Step-by-step explanation:
The slope m = (8-4) / (6-3)
= 4/3
Using the point-slope form of a line:
y - y1 = m(x - x1)
We use m = 4/3, x1 = 3 and y1 = 4:
y - 4 = 4/3(x - 3)
Multiply through by 3:
3y - 12 = 4(x - 3)
3y = 4x - 12 + 12
3y = 4x
y = (4/3) x
or in standard form it is
-4x + 3y = 0.
A virus takes 13 days to double its original population (A=2A_0). How long will it take to triple its population? Round to the nearest tenth.
Answers
Answer:
20.6
Step-by-step explanation:
A virus takes approximately 20.6 days to triple its original population.
What is the formula of exponential growth?"[tex]f(x)=ab^x[/tex],
where a is the initial value
b is the growth rate
x is time. "
For given question,
Suppose the function for the population growth is,
[tex]A(t)=A_0\times b^t[/tex] .........(1)
For t = 13, the population growth of virus would be,
[tex]\Rightarrow A(13)=A_0\times b^{13}[/tex] ..........(2)
But we have been given that a virus takes 13 days to double its original population.
[tex]\Rightarrow A(13)=2\times A_0[/tex] .........(3)
From (2) and (3),
[tex]\Rightarrow A_0\times b^{13}=2\times A_0\\\\\Rightarrow b^{13}=2\\\\\Rightarrow b=1.0548[/tex]
We need to find the number of days to triple its original population
[tex]\Rightarrow A(t)=3\times A_0[/tex] ...........(4)
From (1) and (4),
[tex]\Rightarrow A_0\times b^t=A_0 \times 3\\\\\Rightarrow (1.0548)^t=3\\\\\Rightarrow t=20.6[/tex]
Therefore, a virus takes approximately 20.6 days to triple its original population
Learn more about the exponential growth here,
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A small garden has an area of 25 square yards. How long is each side of the garden? *
Answers
Answer:
5
Step-by-step explanation:
Given the function:
f (x) = (3 x + 4) minus (2 minus x)
Evaluate for f (5).
Answers
Hope this helps!
What is -3(2a + 5b - 4y - 2)?
Answers
Answer: -6a-15b+12y+6
Step-by-step explanation:
At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percentage of the usual price is the savings?
Answers
15%
Explaination according to zehtmnt who also answered this question by another person:
You have to do a proportion
12. = x
80 100 and u have to cross multiply
80x = 1200
80. 80
CAN SOMEONE SHOW FULL STEPS PLEASEE I BEG YOU ??
Answers
Step-by-step explanation:
slope is the number before x so slope here is 3/1 always add the 1 if its a whole number if its a fraction leave it.
y=mx+b
the y-intercept is always be so graphing is now easy
put a dot on the y-intercept so in this case it is 3 on the y-axis. then use rise over run. rise being up and down and run being left and right. so go up 3 then right 1 and put a dot there and connect your 2 lines to make a graph. if the number was -3/1 you go down 3 and right one then but thats just hypothetical
now to make a equation for a point you put it in y=mx+b.
please mark me brainliest if this helped
What is 2 and 1/4 divided by 3/4?
Answers
Answer:3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
2 1/4 divided by 3/4 =
9/4 * 4/3 =
36/12 =
3
Round 4.645 to the
nearest whole number.
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Answer:
the answer is 5
Step-by-step explanation:
Number Rounded to Nearest Whole Number
4.645 5
5.645 6
6.645 7
7.645 8
8.645 9
9.645 10
10.645 11
11.645 12
12.645 13
13.645 14
Every month, Veronica deposits $230 in an account with an interest rate of 6% compounded monthly. How much money will she have in the account at the end of the first 5 years? (Round to the nearest cent. Do not enter the $ sign.)
Answers
Answer:
Veronica will have $310.04 at the end of first five years.
Step-by-step explanation:
Principal Amount P = $230
Interest Rate r = 6%
Time t = 5 years
Compounded monthly n = 12
We need to find the future amount (A)
The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=230(1+\frac{0.06}{12})^{5*12}\\A=230(1+0.005)^{60}\\A=230(1.005)^{60}\\A=230(1.348)\\A=310.04[/tex]
So, Veronica will have $310.04 at the end of first five years.
Write the equation of the line in slope-intercept form that has a slope of 3 and passes through (5, -1)
Answers
Answer:
y = 3x - 16
Step-by-step explanation:
In this question, we have to write an equation in slope-intercept form with the given information.
Slope-intercept form: y = mx + b
We already know our slope: 3
However, we don't know what are y-intercept (b) is.
To find this, plug the given information in the equation and solve for b:
-1 = 3(5) + b
-1 = 15 + b
Subtract 15 from both sides.
-16 = b
This means that our y-intercept will be -16.
Now, plug in our new information to the equation:
y = 3x - 16
The equation y = 3x - 16 will be your answer.
Answer:
y = 3x - 16
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope: 3
Points: (5, -1)
y = 3x + b
-1 = 3 ( 5 ) + b
-1 = 15 + b
b = -16
y = 3x - 16
PLEASE HELP FAST ILL MARK AS BRAINLIEST
Answers
Answer:
the last one
Step-by-step explanation:
Solve the distance, rate, time problem using a system of two linear equations in two variables.
A plane can travel 960 miles in 2 hours (120 minutes) with a tailwind. The return trip against the wind takes 2 hours and 40 minutes (160 minutes). Find the speed of the plane in still air and the speed of the wind.
Define two variables (state what each variable represents).
Set up a system of two linear equations using the two variables defined in part (A).
Solve the system of equations by addition or substitution.
State your answer as a sentence and include units.
Answers
Answer:
960 would be correct becasue it says it in the problem.
Which equation calculates the number of 1/8 foot pieces you can cut from 5 feet of ribbon
Answers
Answer:
40
Step-by-step explanation:
The number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x - 5 = 16 is an equation.
Given that, a ribbon of 5 feet long ribbon is cut into n 1/8-foot-long ribbons, we need to determine the equation calculates the number of 1/8 foot pieces,
So, the equation =
n = 5÷1/8
n = 40
Hence the number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8
Learn more about equations, click;
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Gas mileage is the number of miles you can drive on a a gallon of gasoline.
A test of a new car results in 580 miles on 10 gallons of gas. How far could
you drive on 55 gallons of gas? What is the car's gas mileage?
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Answer:
on 55 gallons of gas , you can drive 3,190 miles....the cars gas mileage 58 mpg or miles per gallon
(x2 +9) - (-7x2 – 3x + 9)
Answers
Answer:
8x²+3x
Step-by-step explanation:
Which equation represents a proportional relationship?
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Answer:
y = 3x
Step-by-step explanation:
A proportional relationship should be represented by an equation in this format:
y = kx
please help me out here I need it
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Step-by-step explanation:
it is the 3rd one I know this as I substituted all values of x into each equation and got the answer for y
Answer:
y=2X2-5x+5
Step-by-step explanation: