find the inverse of: 1:x --> 4-x/3 + 2​

Answers

Answer 1

Answer:

[tex]f^{-1}(x)= \frac{3x}{2}+3[/tex]

Step-by-step explanation:

Interchange the variables:

x = y - 4 - [tex]\frac{y}{3} +2[/tex]

Solve for y:
[tex]y=\frac{3x}{2} +3[/tex]

Replace y with [tex]f^{-1} (x)[/tex] to show the final answer:
[tex]f^{-1}(x)= \frac{3x}{2}+3[/tex]


Related Questions

your friend solved the equation 4x+24-2=7(4x+2) and got x=16. what error did your friend make? what is the correct solution?

Answers

Answer:

the correct answer is 3

Step-by-step explanation:

4x+24-2=7(4x+2)

4x+22=7*4x+2*7

4x+22=28x+14

4x-28x=14-22

-24x=-8

24x=8

x=3

Please help FACTORING POLYNOMIALS USING GCF like can you at least explain how to

Answers

Answer:

HOW TO:

GIVEN A POLYNOMIAL EXPRESSION, FACTOR OUT THE GREATEST COMMON FACTOR.

Identify the GCF of the coefficients.Identify the GCF of the variables.Combine to find the GCF of the expression.Determine what the GCF needs to be multiplied by to obtain each term in the expression.Write the factored expression as the product of the GCF and the sum of the terms we need to multiply by.

Fiona recorded the number of miles she biked each day last week as shown below. 4, 7, 4, 10, 5 The mean is given by m = 6. Which equation shows the variance for the number of miles Fiona biked last week? s squared = StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 6 EndFraction Sigma = StartRoot StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 5 EndFraction EndRoot s = StartRoot StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 4 EndFraction EndRoot Sigma squared = StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 5 EndFraction.

Answers

Variance is average of squared error of observations from mean. The variance of given data is 5.2

How to calculate variance of a given data set?

Variance is average of squared error of observations from mean.

If the data set is composed of n elements,its ith element is [tex]x_i[/tex] , and mean of the data set is [tex]\overline{x}[/tex] ,

then its variance is given as:

[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2[/tex]

The given data set is 4,7,4,10,5

Thus, n = 5 (total 5 observations (data values) )

Their mean is [tex]\overline{x} = 6[/tex] (it is taken as 'm', but for ease with formula, take it as [tex]\overline{x}[/tex] )

Thus, their variance is calculated as:

[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2 \\\\\sigma^2 = \dfrac{(4-6)^2 + (7-6)^2 + (4-6)^2 + (10-6)^2 +(5 - 6)^2}{5} \\\\\sigma^2 = \dfrac{4 + 1 + 4 + 16 + 1}{5} = \dfrac{26}{5} = 5.2[/tex]


Thus,

The variance of given data is 5.2

Learn more about variance here:

https://brainly.com/question/3699980

Answer:

d

Step-by-step explanation:

A 43-foot ladder is leaning against a building and forms a 29. 37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth. 21. 09 feet 24. 20 feet 37. 47 feet 49. 34 feet.

Answers

Check the picture below.

Make sure your calculator is in Degree mode.

Si 4 x – 2 y = 6, entonces y =

Answers

Answer:

y = 6 - 4x ➗ -2

Step-by-step explanation:

4x - 2y = 6

-2y = 6 - 4

y = 6 - 4x

Please help! Explain the best you can! :) Thanks!

Answers

Answer:

55°

Step-by-step explanation:

x+x-20=90[Complementary angle]

or, 2x-20=90

or, 2x=90+20

or, 2x=110

or, x=110/2

x=55°

PLEASE ANSWER FOR MY SISTER​

Answers

Answer:

3/5 < 3/3

Step-by-step explanation:

3/3 = 1 whole (1)

3/5 = 0.6

proportions in similar triangles. need help

Answers

Answer:

  x = 6

Step-by-step explanation:

The angle bisector divides the triangle sides proportionally:

  (6x -1)/42 = (10x +5)/78

  13(6x -1) = 7(10x +5) . . . . multiply by 546 (the LCM of 42 and 78)

  78x -13 = 70x +35 . . . . . eliminate parentheses

  8x = 48 . . . . . . . . . . . . . . add 13-70x

  x = 6 . . . . . . . . . . . divide by 8

_____

Additional comment

The unknown segment lengths are ...

  6·6 -1 = 35

  10·6 +5 = 65

Then the ratios to the known sides are ...

  35/42 = 65/78 = 5/6

If a local coffee shop serves 12 customers in 36 minutes, how fast does it serve its customers?

A. 1 minute per customer
B. 2 minutes per customer
C. 3 minutes per customer
D. 2.5 minutes per customer

Answers

Answer: 3 minutes per customer

Explanation: Divide the 36 minutes by 12 customers served. This gives you 3 minutes spent on each customer.

The Stewart family is building a circular swimming pool. If the radius of the pool is 10 feet, What is its circumference?
Use π = 3.14 to solve.

Answers

Answer:

62.83

Step-by-step explanation:

C=2πr=2·π·10≈62.83185ft

Really need answer for this question ASAP, please someone help me!

Answers

Answer:

i think the answer is 11.

Factor each expression. 81y + 54

Answers

your answer is....

27(3y+2)

Someone, please help

and instead of 10yd its 30yd
and instead of 20yd its 60yd

Answers

129 FT of fencing is required for the problem

Find the value of ‘k’ if x+1 is a factor of the polynomial
2 − √2 + 1

Answers

Answer:

[tex]3-\sqrt{2[/tex]

Step-by-step explanation:

Can yall help

Subtract the sum of the first three prime numbers from the square of 5.

Thanks

Answers

(5X5) - (2+3+5)

25- 10

=15

Please mark as Brainliest!

What is the equation of the line?
O y=3x
o y = 18*
O x-3x+2

Answers

Answer:

Third option.

Step-by-step explanation:

We will use the process of elimination to find this answer:

First option is incorrect because y = 3x, because 3x gives us an intersection of positive three, which in this graph the line doesn't intersect at positive three, but two.

Second option is incorrect because although it the line is structured correctly, the line isn't in the same area of height as the given graph, and barely comes up the x-axis.

Third option IS correct because not only is it line structured correctly, but it is also in the same area of height as the given graph. x + 2 means an increase positive two and the line from the following graph does initially intersect as positive two.

Which means your answer is in fact the third option "[tex]y=\frac{1}{3} x+2[/tex]".

Hope this helps.

someone help please:

find the value of x

2x - 2 = 4x + 6​

Answers

Answer:

or, 2x=4x+8

or, -2x=8

or, x=-4

Given Equation :-

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow 2x -2 = 4x +6} [/tex]

Let's overturn the equation –

[tex]\qquad[/tex][tex] \sf \longrightarrow 4x +6 = 2x -2 [/tex]

Subtract 2x from both side –

[tex]\qquad[/tex][tex] \sf \longrightarrow 4 x +6 -2x = 2x -2 -2x[/tex]

Cancel 2x from right side & also simplify this equation

[tex]\qquad[/tex][tex] \sf \longrightarrow 4 x +6 -2x =\cancel{ 2x} -2 -\cancel{2x}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +6 = -2 [/tex]

Now, subtract 6 from both side

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +6 -6 = -2-6[/tex]

Once again, cancel 6 from left side –

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +\cancel{6} -\cancel{6} = -2-6[/tex]

On simplification –

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = -8[/tex]

Now, divide both sides by 2

[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{2x}{2} = \dfrac{-8}{2}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{\cancel{2}x}{\cancel{2}} =\cancel{ \dfrac{-8}{2}}[/tex]

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow x = -4} [/tex]

Henceforth, value of x is -4.

A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. The rest is blueberry juice. How much of each ingredient will be necessary to make the smoothies?
I NEED A STEP BY STEP

Answers

8-4-1.3=2.7
2.7 is the amount of blueberry juice used for one 8 ounce fruit smoothies so to get ten of them you multiply by 10
So 2.7x10=27 ounces of blueberry juice
1.3x10=13 ounces of banana flavoring
4x10=40 ounces of soy milk
Hope that helped

How much would it cost for Mr. John to replace the tile in his kitchen if the cost for the tile is $1.50 per square foot? (Think about what shape the kitchen is to find the area of it)

Answers

Answer:

214.50

Step-by-step explanation:

A = lw

13 x 11 = 143 (13 is a guess)

143 x 1.50 = 214.50

im not 100 % but give it a try

hope this helps

pls mark brainliest

KINDA NEED THE ANSWERS ASAP: In the linear function f(x)=-x+1, is the function increasing, decreasing or constant?

Tommorow in Orlando, Florida, the temp. will drop by 3 degrees every hour for the next 10 hours. If it is currently 75 degrees, what temp. will it be after 5 hours from now?

what is the y intercept of the standard form of the linear equation 2y+4x=8?

what is the rate of change in the standard linear form of the equation 3y+6x=12?

If you save $5 each week and you add it to your starting savings of $10, how many weeks do you have to save in order to reach $100?

A pool is filled with 4000 gallons of water. you can drainbthe pool at 100 gallons per hour. how long before the pool is empty?

Answers

Answer:

down below

Step-by-step explanation:

1) when x is increasing, the function is decreasing

2)

The wording is a bit weird and I think the "for the next 10 hours." is extra infomation. so 3*5=15 degress dropped. 75-15=60

3) when it is the y intercept, x is equal to 0

2y=8

x=4
(0,4) is the y-intercept

4)
divide the equation by 3
y+2x=2

so the points are like (0,4), (1,2), (2,0)

You could figure out the rate of change

5)1

0+5x=100

5x=90

x=18

18 weeks
btw x are weeks

6)

4000/100=40 hours.

Write the equation in Slope-Intercept form of the line that goes through the point
(3, 12) and has a Slope of 5.

Could someone help me with this please

Answers

Answer:

y = 5x + 12

Step-by-step explanation:

Select all of the ratios that are equivalent to 1:5

8 to 40
5 to 20
6:30
3/20
2/9
2/10

Please hurry!!!

Answers

Answer:

8 to 40

6:30

2/10

Step-by-step explanation:

To check if this is the answer you can multiply the first number of each of these ratios by 5. (We multiply them by five because it is the second number in the ratio 1:5)

8 times 5 equals 40 -so this one is right

6 times 5 equals 30 -yep this one is right too

2 times 5 equals 10 -yeperdoodle

Yeah..so these are the answers! let me know if this helps you out.

All rations equivalent to 1:5:

~6:30

~2/10

~8 to 40

Hopefully this helped-have a good day)

Which model represents this word problem?


Pablo read 7 pages of his book. There are 13 pages left. How many total pages are in his book?


HELPP IM TRYING TO HELP MY FRIEND !! :((((
i think its the first one but im scared to hit it

Answers

it is the first one

Step-by-step explanation:

because I used my brain and its correct

Answer:

the first one is correct i believe

PLEASE HELP
Kira created two patterns. pattern g starts at 2 and increases by 2 each time. pattern h starts at 4 and increases by 4 each time


when the number in Pattern H is 48, what is the corresponding term in Pattern G?

Answers

Answer:

when pattern H is 48, pattern G is 24

The equation for the pH of a substance is pH = –log[H ], where H is the concentration of hydrogen ions. Which equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7. 2?.

Answers

Equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,

[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]

What is pH value?

The pH value is the measurement of the water, as it is acidic or basic in nature and amount of it. If the value of pH value is more than 7, the water is basic in nature and if less than 7, the water is acidic.

Given information-

The equation for the pH of a substance is,

[tex]pH = -\log[H^+ ],[/tex]

Here, [tex]H[/tex]hydrogen ions.

The pH value of the solution is 7.2.

The pH value of the solution is given, and the concentration of hydrogen ions has to be find out (in equation model form).

The given equation for pH of the substance is,

[tex]pH = -\log[H^+ ],[/tex]

It can be written as,

[tex]-pH = \log[H^+ ],[/tex]

The pH value of the solution is 7.2. Put the value as,

[tex]-7.2 = \log[H^+ ][/tex]

Rewrite the above equation as,

[tex]\log[H^+ ]=-7.2[/tex]

Using the log property the, above equation can be written as,

[tex][H^+ ]=10^{-7.2}[/tex]

Solve it further as,

[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]

[tex][H^+ ]=6.3095\times10^{-8}[/tex]

Thus, equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,

[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]

Learn more about the pH value here;

https://brainly.com/question/1810086

Solve the inequality. Graph and check your solutions.
y-2>-17

y>___ (Simplify your answer.)

Answers

Answer:

I am sorry just today we start this lesson

Finding Conterminal Angels:

Answers

Answer:

106°

Explanation:

(360*3) -974 = 106°

Endless extra value's:

Positive coterminal angles: 106°, 466°, 826°, 1186°, 1546°...

Negative coterminal angles: -254°, -614°, -974°, -1334°...

But here the range is only from 0° ≤ ∅ < 360°, so only 106° is applicable.

I need to know the area

Answers

Answer:

67.5 units²

Step-by-step explanation:

We can break this problem down in two parts: The upper triangle and the lower trapezoid.

The upper triangle:

Use the formula [tex]\frac{1}{2} (b)(h)[/tex] to compute the area of the triangle. Base = 10 and Height = 7.

1/2 (10)(7)

1/2 (70)

=35 units².

The lower trapezoid:

Use the formula [tex]\frac{1}{2}(base_{1} + base_{2}) (height)[/tex] to compute the area of the trapezoid. Base 1 = 10, Base 2 = 3 and Height = 5.

1/2 (10 + 3)(5)

1/2 (13)(5)

1/2 (65)

=32.5 units²

So, add the two areas of each shape:

35 + 32.5 = 67.5 units².

Answer:

Step-by-step explanation:

67.5 is the answer and thanks for asking

Divide using long division
pls show work
4x^3+8x^2-9x+18/2x+3

Answers

there you go the steps and then the solution

Anyone know how to solve this. I got 4 but wasn’t correct

Answers

Answer:

12

Step-by-step explanation:

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