Answers
You can use the graph given to form the equation and using the fact that as the denominator goes towards zero, the fraction outputs immensely big magnitude numbers(tending to arbitrarily large numbers)
The equation for the given graph can be:
[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
Using the graph to form the equationSince the graph goes to negative infinity as it comes from left side of 1 towards 1, and goes to positive infinity as it comes from the right side of 1, thus, there might be x-1 in denominator which takes the magnitude to infinite and sign to + if x > 1 and to - if x < 1
Now since the graph intersects the y axis at y = -3, thus, we need the function to be such that putting x = 0 in the function outputs -3 as value of the function.
Thus,
[tex]f(0) = -3[/tex]
Since putting 0 in [tex]\dfrac{1}{(x-1)}[/tex] gives -1 as answer, we have to subtract 2 more.
Thus, we have:
[tex]f(x) = \dfrac{1}{x-1} - 2[/tex]
Checking it, as the graph intersects the x axis at 1.5, putting f(x) = 0 should give us x = 1.5,
[tex]f(x) = \dfrac{1}{x-1} - 2\\\\0 = \dfrac{1}{x-1} - 2\\\\2(x-1) = 1\\\\x = 1 + \dfrac{1}{2} = 1.5[/tex]
It is correct.
Thus,
The equation for the given graph can be:
[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]
Its graph is attached below.
Learn more about graphing functions here:
https://brainly.com/question/17056821
Related Questions
Find the slope on the coordinate plane (slope is rise/run).
Answers
Answer:
-4/2 or -2/1
Step-by-step explanation:
the second answer is just simplified
Answer:
-4/2
Step-by-step explanation:
count how many times it goes up or down, then count how many times it takes to reach a point.
it goes down 4 times and it slides over to the right 2 times. the line is going down so its going to be negative
I don’t k is how to do this stuff
Answers
Answer:
x = 24.571
Step-by-step explanation:
A circles angle is 360 degrees, so you can work out x by equalling everything to 360
360 = 5x + 12 + 9x + 4
360 = 14x + 16
360 - 16 = 344
344 = 14x
344 ÷ 14 = 24.571
x = 24.571
So the smaller angle is 225°
And the bigger angle is 135°
(I'm guessing shape isn't to scale)
Anyone got the answer? Would be nice pls
Answers
Answer:
20 cm^3
Step-by-step explanation:
The volume of a rectangular prism is V=length*width*height. Therefore, to find the volume, plug in the values into the equation
V = (2/3)*5*6
V = 20 cm^3
Suppose both factors in a multiplication problem are multiples of 10. Why might the number of zeroes in the product be different than the total number of zeroes in the factors?
Answers
Answer:
Multiplying factors whose products are multiples of 10 add to the number of zeros when factors are multiplied as multiples of 10s.
Step-by-step explanation:
Let the first five multiples of ten be
10*1= 10
10*2= 20
10*3=30
10*4=40
10*5= 50
Suppose we chose 20 and 50.
Now multiplying 20 with 50 we get
20*50= 1000
IF we count the total number of zeros in the factors ( 20 and 50) they are 2.
But the number of zeros in the product (1000) are 3.
This is because when we multiply 2 with 5 we get 10 which adds to the existing number of zeros ( i.e 2) and we get a total of 3 zeros.
And multiplying 10 with 50 we get
10*50= 500
IF we count the total number of zeros in the factors ( 10 and 50) they are 2.
But the number of zeros in the product (500) are also 2.
This is because when we multiply 1 with 5 we get 5 which does not add to the existing number of zeros ( i.e 2) and the total number of zeros remain the same.
Similarly multiplying 20 with 30 we get
20*30= 600
IF we count the total number of zeros in the factors ( 20 and 30) they are 2.
But the number of zeros in the product (600) are also 2.
This is because when we multiply 2 with 3 we get 6 which does not have a zero and the total number of zeros remain the same as in the factors.
So we see that multiplying factors whose products are multiples of 10 add to the number of zeros when factors are multiplied as multiples of 10s.
HURRY PLEASE, can you have a abotuse triangle with one acute angle? explain
Answers
Answer:
No
Step-by-step explanation:
You see, I can be myself now finally
In fact, there's nothing I can't be
I want the world to see you'll be with me
What is the song and artist name and the next 19 words!!!
Will get brainly if all is correct!!!
Answers
The song is 'Hey, Soul Sister' by Train. The next 29 words are:
I want the world to see you be, with me
Hey, soul sister
Ain't that Mr. Mister on the radio, stereo?
The way you move ain't fair, you know
Find the value of 4n when n=3
Answers
Answer:
13
Step-by-step explanation:
4 * 3 = 12
if 5 + root 3 divided by 7 minus 4 root 3 is equals to a + b root 3 find the values of a and b
Answers
Answer:
a + b = 93.8
plz follow me
hope it help u
1000 points!
Match the civilization with the region it was located in:
1. Safavid
Anatolia
2. Mughal
Iran
3. Ottoman
India
Answers
Answer:
1. iran
2. South asia
3.Anatolia
Step-by-step explanation:
hehe
Answer:
1. iran
2. South asia
3.Anatolia
Step-by-step explanation:
help pleaseee with this and the other ones
Answers
Answer:
x=8+√59 or x=8−√59
Step-by-step explanation:
For this equation: a=1, b=-16, c=5
1x2+−16x+5=0
Step 1: Use quadratic formula with a=1, b=-16, c=5.
x=
−b±√b2−4ac
2a
x=
−(−16)±√(−16)2−4(1)(5)
2(1)
x=
16±√236
2
x=8+√59 or x=8−√59
What is the length of the base of a right triangle with an area of 15 square meters and a height of 3 meters?
5 m
10 m
30 m
45 m
Answers
Answer:
10 m
Step-by-step explanation:
I did the test
Answer:
10m
Step-by-step explanation:
I did the test on k12 and it was correct !
solve for z 7z + 4 - 9z = 8 (also please don't have the answer be a negative)
Answers
Answer:
z = -2
Step-by-step explanation:
lol okay If it said that
Explain the difference between an x and a y-intercept.
Answers
Step-by-step explanation:
so pretty much y= is the line that goes up and it has its own numbers right. the x= is the line that goes at the bottom right right
_(4x+9)=36X+81
Identify the missing number
Your answer
Answers
Answer:
x = − 9 X − 18
Raoul says that Function B has a greater initial value. Is Raoul correct?
Answers
Answer:
yes he is correct because if you where to graph B it would have a greater slope
Step-by-step explanation:
11 divided by 3 as a mixed number
Answers
Answer:
3 2/3
Step-by-step explanation:
–27 ≥ t/5 Please help me as soon as possible
Answers
Answer:
t ≤ -135
Step-by-step explanation:
multiply each side by 5 which then cancels out the 5 in the fraction then turns -27 into -135. Since we multiplied negatives we flipped the sign.
Shawna needs a new bed pillow. One store
was selling TWO pillows for $19.00. How
much would Shawna pay for ONE pillow?
Answers
Answer:
$9.5
Step-by-step explanation:
All you have to do is divide 19 by 2 to get the cost of one pillow. I hope this helps :)
Answer:
$9.50
Step-by-step explanation:
P is Pillows
2P=$19.00
divide by 2 in both sides
P=$9.50
so 1 pillow costs $9.50
what is 512.3 divded by 100
Answers
Answer:
the answer is 5.123
Step-by-step explanation:
have a good day <3
Answer:
5.123
Step-by-step explanation:
Just need to move the decimal two times to the left because there are two zeros.
PLZ PLZ PLZ PLZ HELP ME WITH THIS QUESTION
Answers
dbjdbdnsbsjeej have a good day
your welcommeeee
124-(-12-52)*3
please help
Answers
Answer:
124−(−12−52)(3) = 316
Step-by-step explanation:
if * is for multiplying then the answer is 316
simplify the expression: 4(-4+n) =
Answers
Just have to simplify
In a store at the local mall, the price for sweaters was $30 each. In October, the price was raised by 20%. In December, the price was raised by 40%. What is the price of a sweater in this store now?
Answers
Answer:
Your answer
50.4 $
Mark it as Brainlist. Follow me for more answer.
Step-by-step explanation:
Mia and her children went into a bakery where they sell cupcakes for $2.75 each and
brownies for $1.25 each. Mia has $30 to spend and must buy at least 14 cupcakes
and brownies altogether. If x represents the number of cupcakes purchased and y
represents the number of brownies purchased, write and solve a system of
inequalities graphically.
Answers
Answer:
[tex]x = 8.5[/tex] and [tex]y = 5.3[/tex]
Step-by-step explanation:
Given
[tex]x = cupcakes[/tex]
[tex]y = brownies[/tex]
From the first statement:
[tex]2.75x + 1.25y = 30[/tex]
From the second statement:
[tex]x + y \le 14[/tex]
Required
Solve graphically
I've written the equations (above) and they are:
[tex]x + y \le 14[/tex]
[tex]2.75x + 1.25y = 30[/tex]
See attachment for graph.
The blue line represents [tex]2.75x + 1.25y = 30[/tex]
The shaded part of the graph represents [tex]x + y \le 14[/tex]
From the graph, the solution is:
[tex]x = 8.5[/tex]
[tex]y = 5.3[/tex]
what is the equation of a line when m = -7 and b = -8?
Answers
Answer:
Step-by-step explanation:
y = mx+b
y = -7x - 8
Answer:
y=-7x-8
Step-by-step explanation:
y=mx+b
m=slope
b=y intercept
5. A mountain has a base and peak that are inaccessible. At point A, the angle of elevation of the peak is
30°. One kilometer closer to the mountain, at point C, the angle of elevation of 35º. Find the height
PB of the mountain.
Answers
Answer:
1.366km
Step-by-step explanation:
The height of the mountain is [tex]3.34Km[/tex]
Right angle triangle:A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.
Let us consider that H represent the height of mountain.
Angle of elevation at point A and C shown in the diagram.
Apply tan function in triangle CBP.
[tex]tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)[/tex]
Apply tan function in triangle ABP.
[tex]tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)[/tex]
Substituting the value of equation 2 into equation 1.
[tex]H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km[/tex]
Hence, The height of the mountain is [tex]3.34Km[/tex]
Learn more about the right angle triangle here:
https://brainly.com/question/64787
I want to put a ribbon trim around. my favorite circular rug. The rug has a radius of 4.5 meters. How long will the ribbon trim be? Hint: Find the circumference.
Answers
Answer:
14.13
Step-by-step explanation:
4.5x3.14=14.13
i need help plsss. im stuck
Answers
Answer:
h = 6 cm
Step-by-step explanation:
Volume of cylinder = 54 π cm³
πr²h = 54π
π * 3 * 3 * h = 54π
[tex]h = \frac{54 \pi }{\pi *3*3}\\\\h= 6[/tex]
trigonometry problem
Answers
Answer: -3π/2
Step-by-step explanation:
The unit circle is tricky, but here are some things to know:
When measuring angles, you usually move in the counter-clockwise direction. If you are moving clockwise (like shown in your picture), the angle will be negative. The unit circle is typically measured in radians, not degrees- To convert from radians to degrees, multiply by 180/π
- To convert from degrees to radians, multiply by π/180
The whole unit circle measures 2π (360 degrees). This means that the positive x-axis can be referred to as 0 or 2π, the positive y-axis is referred to as π/2, the negative x-axis is referred to as π, and the negative y-axis is referred to as 3π/2.-If the angle is negative, switch the signs of the axis above.
The information above is all you need to answer the above question, but if you want/need anything else on the unit circle, just let me know.
write the equation for the line that goes through point (12, 15) with slope m = -2
Answers
Answer:
Y=5\4x
Step-by-step explanation:
gradient is given by ∆y/∆x
g=5/4
Y=MX+C
15=5/4(12)+c
15=15+c
C=0
y=mx+c
y=5\4x
