Find the inverse of f(x)= 2x+3/x-1
Answer:
[tex]\displaystyle f^{-1}(x)=\frac{3+x}{x-2}[/tex]
Step-by-step explanation:
We have the function:
[tex]\displaystyle f(x)=\frac{2x+3}{x-1}[/tex]
Find the inverse of f(x). First, we call y=f(x):
[tex]\displaystyle y=\frac{2x+3}{x-1}[/tex]
We have to solve for x. Multiply by x-1:
[tex]y(x-1)=2x+3[/tex]
Operate:
[tex]yx-y=2x+3[/tex]
Join all the x's to the left side and move the rest to the right side:
[tex]yx-2x=3+y[/tex]
Factor:
[tex]x(y-2)=3+y[/tex]
Solve for x:
[tex]\displaystyle x=\frac{3+y}{y-2}[/tex]
Interchange the variables:
[tex]\displaystyle y=\frac{3+x}{x-2}[/tex]
This is the inverse function:
[tex]\boxed{\displaystyle f^{-1}(x)=\frac{3+x}{x-2}}[/tex]
The probability distribution for the random variable follows. a. Is this a valid probability distribution? - Select your answer - b. What is the probability that (to 2 decimals)? c. What is the probability that is less than or equal to (to 2 decimals)? d. What is the probability that is greater than (to 2 decimals)?
Complete question :
X: 20__25 ___30 ___35
f(x): 0.20 _0.20_0.25 _0.35
Probability that x = 30
Probaility that x less than or equal to 25
Probability that X is greater than 30
Answer:
Kindly check explanation
Step-by-step explanation:
To establish if it is a valid probability distribution :
The sum of the probabilities must be equal to 1:
Σf(x) = 0.20 + 0.20 + 0.25 + 0.35 = 1
Hence it is valid
Probability that x = 30
P(x = 30) = 0.25
Probability that x ≤ 25 :
P(x = 20) + p(x = 25)
P(x ≤ 25) = 0.20 + 0.20 = 0.40
Probability that x > 30
P(x > 30) = p(x = 35) = 0.35
find the missing number of the unit rate
12/4=?/1
Answer: 3/1
Step-by-step explanation:
Your supposed to divide by 4 on the top and bottom.
12 4= 3
4 4 = 1
QUESTION 1
Find the derivative of the function f(x)= /7x-8 using the limiting process.
Answer: Apply the Sum/Difference Rule
d/dx(7x)-d/dx(8)
d/dx(7x)=7
d/dx(8)=0
7-0=7
Step-by-step explanation: The answer is 7
Can someone please help me with this
18,000,000
Step-by-step explanation:
if you need an explanation, then comment on this answer. :)
54 - 6 x 5/3
= 54 - ? /3
= 54 - ?
= ?
Answer:
Step-by-step explanation:
Vivian earned $540 last month. She saved 30% of this money. How much did she save?
%
Answer:
$162.00
Step-by-step explanation:
$540.00 x.30 =$162.00
Please helppp!!!!!!! And please show your work so i can know what to do next time i have this same problem !
Answer: The answer is $152.25
Step-by-step explanation:
First you multiply 0.07 by 163.71 to get 11.4597.
The you subtract 163.71 from 11.4597.
Then that's your answer. I hope this helped!
G(x)=x^3+x^2-x-2 , which expression represents g(3n)
simplify √80 - 2√45
The simplification of the given equation is [tex]-2\sqrt{5}[/tex].
What is simplification?Simplification is the process of substituting a complex mathematical expression with a simpler (typically shorter) counterpart.
In algebra, simplification of algebraic expressions. Logic optimization is the simplification of boolean expressions.
Simplification of the above equation are:
[tex]=\sqrt{80} - 2\sqrt{45}\\\\=4^2\sqrt{5}-2(\sqrt{3^2}\times \sqrt{5})\\\\=4\sqrt{5} - 6\sqrt{5}\\\\=-2\sqrt{5}[/tex]
Therefore, the simplified value of the given equation are [tex]-2\sqrt{5}[/tex].
Learn more about the simplification, refer to:
https://brainly.com/question/23509407
#SPJ2
Jenny has three times as much money as Peter. Together they have $44. How much do they each have
Answer:
33 & 11
Step-by-step explanation:
33+11=44
Answer:
jen has 33, Peter has 11
Step-by-step explanation:
j + p = 44 and
j = 3p
substitute j
3p + p= 44
4p + p=44
p = 44/4
p=11
j + 11 = 44
j = 44 - 11
j= 33
Please help if you know how to do this, thanks
Answer:
6) see https://brainly.com/question/18513777
7) y = 0x^2 +3x -7; (A, B, C) = (0, 3, -7); a linear equation
8) p ≈ -0.213312t^2 +2.08483t +22.9624; p(11) ≈ 20.08; between 20,000 and 20500
Step-by-step explanation:
7) The result of using a graphing calculator to find a quadratic model for the given points is shown in the first attachment. The equation is ...
y = 0x^2 +3x -7 . . . . . A, B, C = 0, 3, -7
The A coefficient of 0 tells you this is a linear equation.
__
8) The quadratic regression model* found by my graphing calculator is ...
p ≈ -0.213312t^2 +2.08483t +22.9624
The "work" is shown in the second attachment. (Apparently, you have a regression tool you're supposed to use.)
Evaluating this equation for t=11 (corresponding to 11 years after 1996), we find ...
p = (-0.213312·11 +2.08483)·11 +22.9624 = -0.261602·11 +22.9624
p ≈ 20.084778 ≈ 20.08 . . . . thousands
The population in 2007 is between 20,000 and 20,500.
_____
* We're not sure exactly what is supposed to be rounded to 2 decimal places. Error tends to creep up if the quadratic coefficients are rounded to 2 decimal places, but you may be expected to enter your answer that way.
The population in thousands is "between 20 and 21" when rounded to 2 decimal places. It makes no sense to compute the population (in people) as 20,084.78, rounded to 2 decimal places. We have chosen 20,000-20,500 as the answer to the question about population in 2007, because the question doesn't ask for thousands.
What is the circumference of the circle
below?
52 yd
A 254.18 yd
B 387 yd
C 199.3 yd
D 163.28 yd
Answer:
D) 163.28 yd
Step-by-step explanation:
to get the circumference, the equation is 2(π * radius)
52 is the diameter, and half of a diameter is the radius.
so the radius of your circle is 26.
now put that into the equation and you get 2(26π), or 52π
pi is infinite, but you can actually get away with multiplying 52 by 3.14, which gives you the approximate answer.
52 * 3.14 = 163.28
so your answer is D) 163.28 yd
please help! I dont want to fail!!!!!!!!
if you could do these three I will mark you as brainlest. thank you ♡
Answer:
a d c
Step-by-step explanation:
:0
Find an equation in slope intercept for the line (5,3) and (-1,4)
Answer:
Step-by-step explanation:
5
Math help!!! What’s the answer to 1&2?
If ab = 2, bc = 6 and ca = 3 then find the value of a.
Answer:
a = 1
Step-by-step explanation:
On 31 August 2018,Musk Traders purchased a machine on credit for a cost price of R402 500(including VAt at 15%). Machinery is depreciation over six years according to the straight - line basis and there is no residual value on this machine, as it is highly specialized. Musk traders has a 30 June year-end
Calculate the depreciation and accumulated depreciation for 2019 and 2020.
Answer:
Depreciation should be on a value net of VAT.
Cost + (Cost * VAT) = 402,500
Cost + Cost * 15% = 402,500
1.15 * Cost = 402,500
Cost = $350,000
Depreciation is straight line for 6 years so per year is = 350,000/6 = $58,333
2019
In 2019 the June year end from date of purchase will be 10 months.
Depreciation in 2019
= Yearly depreciation * 10/12 months
= 58,333 * 10/12
= $48,611
Accumulated Depreciation 2019
= $48,611
2020
2020 will be a complete year so depreciation
= $58,333
Accumulated Depreciation 2020
= 2019 + 2020
= 48,611 + 58,333
= $106,944
Select the best estimate of the product of 68 x 32 = ____
A 1,900
B 1,100
C 1,500
D 2,100
Answer:
2,100
Step-by-step explanation:
68 x 32 =
rounded numbers below
70x30=2,100
Uno de los problemas ambientales es la escasez de agua. Para proveer de agua a una comunidad, se necesitan 3846 metros de tubería, y cada tubo mide 6 metros de largo. ¿Cuántos tubos se necesitan?
Porfa respondanme con la operacion pls
Responder:
Explicación paso a paso:
Dado el total de tubería necesaria = 3846 m
Longitud de cada tubo = 6 m
Cantidad de tubería necesaria = tubería total / longitud de cada tubo
Cantidad de tubería necesaria = 3846/6
Cantidad de tubería necesaria = 641
Por lo tanto, la cantidad de tubería necesaria será de 641 tuberías.
Calculate the product below and give your answer in scientific notation.
(95) x (3 x 104) = ?
Simplify:
25x - 6X - 18x + 7
Answer:
x+7
Step-by-step explanation:
25x - 6x - 18x + 7
x + 7
a shopkeeper bought 12pencil for rs16.how much he sell one pencil to gain 50percent
Answer:
1 dozen pen = 13
so
Step-by-step explanation:
i think 16/12 * 50 =66.66
for one pen = 66.66/100 I am not sure
Answer:
Rs 2
Step-by-step explanation:
12 pencils = Rs 16
50% profit on Rs 16 = 50/100 × 16 = 8
selling price = 16 + 8 = 24
cost of 1 pencil = 24/12 = Rs 2
What is the value of the expression below when z=9
The average persons stride length
Answer:
5 feet/ 60 inches
hope this helps :)
If a bird is flying 75 ft above the ocean's surface, and a shark is swimming at a depth of 30 ft, what is the distance between the bird and the shark?
Answer:
105 ft
Step-by-step explanation:
since the shark is swimming at a depth of 30 ft mean is -30 ft...
so the distance between the bird and the shark is
7 5 ft - (- 30 ft) = 105 ft
I hope it help
how do i check 5p +2 = 4p - 1
Answer:-3
Step-by-step explanation:
Answer:
p = -3
Step-by-step explanation:
5p + 2 = 4p - 1
-4p -2 -4p -2
p = -3
If x ≅ y, state the reason why lines p and q are parallel.
Urgently need help please
Answer:
17280
Step-by-step explanation:
Answer: 324
Step-by-step explanation:
8 x 6 x 3 = 144
10 x 6 x 3 =180
180 + 144 = 324
I can add more info if you are still having trouble :)
2) Mr. Riley dove off a cliff that was 30 feet above the surface of the water and descended a total of 100 feet. Which of the equations below can be used to determine his elevation at the bottom of his dive?
a) 30 + 100
b) 30-100
C) 30 + (-100)
d) Both b and c
Answer:
B
Step-by-step explanation:
Mr.Riley was 30 feet above the water, which means he is at +30 above sea level. If he descends 100 feet, that means he goes 100 feet lower then that. 30 - 100 is equal to -70. He is 70 feet under water after he dived. You do not need to know the answer, but it helps to visualize the problem you have, therefore, finding the answer