find the inverse function

Find The Inverse Function

Answers

Answer 1

Answer

[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]

Step by step

[tex]y = \frac{2x}{5} + 2[/tex]

Swap roles of x and y

[tex]x = \frac{2}{5} y + 2[/tex]

Then

[tex]5x = 2y + 10[/tex]

So

[tex]2y = 5x - 10[/tex]

Hence

[tex]y = \frac{5}{2} x - 5[/tex]

Therefore

[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]


Related Questions

What is the complete factorization of x2 + 4x − 45?

Answers

Answer:

(x-5) (x+9)

Step-by-step explanation:

what multiplies to -45 but adds to positive 4?  -5 and 9. that's how you get (x-5) (x+9)

what are the zeros of the function f(x)=x^2-3x?​

Answers

X= 0,3

Do you want me to explain why?

What is the area of a triangle with a base of 7cm and a height of 120% of the base?
Calculate the area

Answers

Answer:

29.4 cm^2

Step-by-step explanation:

We can use a proportion to find the height:

120 : 100 = x : 7

x = (120 *7)/100 = 8.4 cm

Area = (base * height)/2 = (7 * 8.4)/2 = 29.4 cm^2

Answer:

29.4cm²

Step-by-step explanation:

First we are going to find 120% of 7.

7 × [tex]\frac{120}{100}[/tex] = 8.4 cm

Therefore, 8.4 cm is the height.

Area =  [tex]\frac{1}{2}[/tex] Base × Height

= [tex]\frac{1}{2}[/tex] × 7 × 8.4 = 29.4cm²

True or False:
The value of y in the given equation is 18.
y + 17 = 36
True or false

Answers

Answer:

False ..... ....... . . .. ..

If X = 14 units and h = 8 units, then what is the area of the triangle shown above?

Answers

Answer:

56 units

Step-by-step explanation:

Let us start by the formula of the area of a triangle, [tex]\frac{b*h}{2}=A[/tex]. A represents the area of the triangle, b represents the base of the triangle, and h represents the height of the triangle.

In this case, we can pretty clearly tell that h represents the height of the triangle and x represents the base of the triangle. We are also given that x=14 units and h = 8 units. Lets plug our values into the equation!

[tex]A=\frac{h*x}{2} \\A=\frac{14*8}{2} \\A=\frac{112}{2} \\A=56[/tex]

Therefore, the area of the triangle is 56 units.

I hope this helps! Please let me know if you have any questions :)

if bought 15 caterpillars for $3.00, how much was each caterpillar (find the unit rate for price per caterpillar)

Answers

Answer:

20 cents

Step-by-step explanation:

Divide 3 dollars by 15 caterpillars.

3/15 = 0.2

20 cents

What is the surface area and volume of this shape?

Answers

Answer:

894.14 mm^2.

Step-by-step explanation:

i did this.

I think it’s c I hope that helps

what is the measure of angle dcu

Answers

I need more info

Step-by-step explanation:

I can help If i had more info

can anyone help with this? find st and rt​

Answers

Answer:

ST= 5.2

RT= 23.6

Step-by-step explanation:

Answer:

ST= 5.2

RT= 23.6

Step-by-step explanation:

Help!! Please also explain how you got your answer

Answers

Answer:

y = -½x + 4

Step-by-step explanation:

the line passes point of y-intercept (0, 4) ,

and another point (6, 1)

the slope = (1-4)/(6-0) = (-3)/6 = -½

so the Equation is y = -½x + 4

|2x+3|=7;2
help pls

Answers

Answer:

x = {-5, 2}

Step-by-step explanation:

unfamiliar with the notation 7;2

will solve for |2x + 3| = 7

Solution I -  the quanity inside the absolute value is 7

2x + 3 = 7

2x = 4

x = 2

Solution II -  the quanity inside the absolute value is –7

2x + 3 = –7

2x = -10

x = -5

-----------------

x = {-5, 2}

help me please and thank you.

Answers

Answer:

$127

Step-by-step explanation:

Ur welcome :)

Find the measure of y, round to the nearest tenth

Answers

Answer:

y = 8

Step-by-step explanation:

cos = adj/hyp

cos30 = 4√3 / y

y = 4√3 / cos30

y = 6.928203230275509 / 0.866025403784439

y = 8

Which of the following best describes the graph of the polynomial function
below?

Answers

Answer:

Step-by-step explanation:

The given curve crosses the x-axis in two places, (-2, 0) and (0, 0), which are the zeros.  This parabolic curve opens up and has its vertex (minimum) at (-1, -1).

Answer: The graph has two zeros.

Step-by-step explanation:

The given graph is the graph of parabola open upward. In the graph of parabola, we will have two solutions since the highest degree of the function is 2.

y = ax^2 + bx + c, where a, b, c are real number and a ≠ 0.

You can see the height degree of the function is 2.

Therefore, there should be two zeros of the function.

According to the given graph of parabola has two zeros at x = -2 and x = 0.

The graph cross the x-axis at x = -2 and x = 0.

Hence, the graph has two zeros.

Answer is A. The graph has two zeros

Find the area of this figure round your answer to the nearest hundredth. Use 3.14 to approximate

Answers

Answer:

Ok from what your saying i would say your talking about a circle the formula to find the area of a circle is PiR^2

so the radius times radius times 3.14

Given 4x2 – 7x = -3, what are the solutions??

Answers

Step-by-step explanation:

4*2-7x=-3

8-7x=-3

-7x=-3-8

-7x=-11

x=-11/-7

x=1.5714...

Answer:

x = {3/4, 1}

Step-by-step explanation:

4x² - 7x = -34x² - 7x + 3 = 04x² - 4x - 3x + 3 = 04x(x - 1) - 3(x - 1) = 0(x - 1)(4x - 3) = 0x - 1 = 0    |  4x - 3 = 0x = 1          |  x = 3/4

X+3y=6 2x+8y=-12 Solve silmatenous equations​

Answers

Hope this helps,

Regards,
ArmyCee:)

Answer:

[tex]x + 3y = 6 - - - (a) \\ 2x + 8y = - 12 - - - (b) \\ 2 \times (a) - (b) : \\ 0x - 2y = 24 \\ y = 12 \\ x + (3 \times - 12) = 6 \\ x = 42 \\ { \boxed{x = 42}} \\ { \boxed{y = 12}}[/tex]

In how many year the interest will became equal to the principal is rs.1200 is deposited at the rate of 25% in a bank ​

Answers

Given:

Principal = Rs. 1200

Rate of interest = 25%

To find:

The time in which the interest will became equal to the principal.

Solution:

We have,

[tex]P=1200[/tex]

[tex]r=\dfrac{25}{100}[/tex]

[tex]r=0.25[/tex]

If interest is equal to the principal, then

[tex]Amount=Principal+Interest[/tex]

[tex]Amount=1200+1200[/tex]

[tex]Amount=2400[/tex]

The formula for amount is:

[tex]A=P\left(1+r)^n[/tex]

Substituting [tex]A=2400, P=1200, r=0.25[/tex] in the above formula, we get

[tex]2400=1200(1+0.25)^n[/tex]

[tex]\dfrac{2400}{1200}=(1.25)^n[/tex]

[tex]2=(1.25)^n[/tex]

Taking log on both sides, we get

[tex]\log2=\log(1.25)^n[/tex]

[tex]\log2=n\log(1.25)[/tex]               [tex][\because \log a^b=b\log a][/tex]

[tex]\dfrac{\log2}{\log(1.25)}=n[/tex]

[tex]n\approx 3.11[/tex]

Therefore, the interest will became equal to the principal in about 3.11 years.

Using the information that 6.7 x 52 = 348.4
find the value of
(i) 6.7 x 520
(ii) 67 x 0.52
(iii) 3484/ 5.2

Answers

Answer:

1.6.7*520=3484

Step-by-step explanation:

( I).67*0.52

convert that 0.52 to proper fraction

67×13/25=871/25

which is=34.84

(III). 3484/5.2

convert 5.2 to improper fraction ❤️

=52/10=26/5

3484/26/5=3484×5/26=670

Write the number 10 000 000 as a power of 10.

Answers

Answer:

10⁷

Step-by-step explanation:

Just count the number of zero and raise the counted number of zero.

the question= find the percent of each number
1.) 78% of 160
2.) 12% of 325
also could u put an explanation

Answers

Answer:

78 x 160 /100

= 124.8

12 x 325/100

= 39

Step-by-step explanation:

What is the volume of the triangular prism?

Answers

Answer:

48 in³

Step-by-step explanation:

the volume = ½×3×4 × 8 = 48 in³

A car goes to point a to b in 3 hours and b to a in 5 hours. A to b are 150 km away what is the speed o car

Answers

Answer:

50km/h

Step-by-step explanation:

Given data

A-B

Time taken= 3 hours

Distance= 150km

B-A

Time taken= 5 hours

We know that

Speed= distance/time

Speed= 150/3

Speed= 50km/h

Hence the speed of the car is 50km/h

Write as a single fraction in its simplest form.

how do you do this?

Answers

Answer:

(-12x - 25) / (x + 3) (x - 5)

Step-by-step explanation:

1 - 2x/(x+3) + (x+3)/(x - 5)

= {(x + 3)(x - 5) - 2x(x - 5) + (x + 3)(x - 3)} / (x + 3) (x - 5)

= {(x² -5x + 3x - 16) - (2x² + 10x) + (x² - 3x + 3x - 9)} / (x + 3) (x - 5)

= x² - 2x - 16 - 2x² - 10x + x² - 9 / (x + 3) (x - 5)

= x² - 2x² + x² - 2x - 10x - 16 - 9 / (x + 3) (x - 5)

= (-12x - 25) / (x + 3) (x - 5)

the top says for the first box : Part A Explain how Mrs. Soto could apply the
following theorem to the problem of restoring
the gate to its original rectangular shape.

Answers

Answer:

The given theorem proves that the door is not a rectangle right now since, the door came out of shape, it can be proved by the Pythagorean theorem. If the length is set to a certain shape, and the width is set to a certain shape, and drawn to diagonals. If solved by the Pythagorean Theorem, if the length of two diagonals are similar then and only then the door would be a rectangle.

Hope this helps!

After how many seconds ,t, will the object be 75 meters above the ground

Answers

Answer:

It will be above the ground in C

Step-by-step explanation:

What is the value of x?

Answers

Answer:

67.5

Step-by-step explanation:

The sum of the interior angles is 540, therefore

540 = 90 + 4y

540 - 90 = 4y

450 = 4y

450 / 4 = y

112.5 = y

X and Y together equal 180, therefore

180 = x + 112.5

180 - 112.5 = x

67.5 = x

What is the equation of the line

Answers

The answer is
(0,0)
Goodluck

tina works 15 hours a week (monday to friday). last week she worked 3 1/2 hours on monday, 4 hours on tuesday, 2 1/6 hours on wednesday and 1 1/2 on thursday. how many hours did she works on fridays​

Answers

Answer:

Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.

Step-by-step explanation:

To solve for how many hours Tina worked on Friday you have to add up all the hours worked then subtract that from 15 hours to get the remainder.

Step 1 : Add up all the hours worked so far.

[tex]3\frac{1}{2}[/tex] + 4 + [tex]2\frac{1}{6}[/tex]  + [tex]1\frac{1}{2}[/tex] = ?

We need to turn these mixed numbers into improper fractions first so we can add. Let's turn them all into sixths.

[tex]3 \frac{3}{6}[/tex] + 4 + [tex]2\frac{1}{6}[/tex] + [tex]1 \frac{3}{6}[/tex] = [tex]11\frac{1}{6}[/tex]

Allright, so now we know that Tina already worked 11 and 1/6 hours already, so we subtract that from 15 to find how many hours she worked on Friday.

Step 2 : Subtract [tex]11\frac{1}{6}[/tex] from 15.

15 - [tex]11\frac{1}{6}[/tex] = [tex]3 \frac{5}{6}[/tex]

Therefore Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.

Hope this helps, please mark brainliest if possible. Have a great day.

write an equation to represent each graph​

Answers

equation for first figure=2x+y=2

equation for second figure= 4x-y=8

(use formula x/a+y/b=1)

where, a=x component and b= y component..

Other Questions
HELP WILL GIVE BRAINLIEST TO CORRECT ANSWERcan consider the polygon shown. determine the value of y Pls help Ill brainlest What is the surface area of the cylinder with height 7 cm and radius 3 cm? Round your answer to the nearest thousandth. Given that f(x) = x2 3x 28 and g(x) = x - 7, find(f - g)(x) and express the result in standard form. Which battle between a teacher and his student helped bring on the Civil War? The onlycasualty was a Confederate horse. The student won. *(1 Point)Fort SumpterBull Run / ManassasHampton RoadsShilohRichmondAntietam / SharpsburgGettysburg Science Unit Post Test Question #1. Question located in the image attached to this platform.First drop down answers: Blue, Violet, Or WhiteSecond drop-down answers: Absorbs, Reflects, Refracts.Last drop-down answers: Absorbed by, reflected from, or refracted by.Will give Brainliest if the answer is correct. Thank you very much!Have a lovely day everybody! What did you notice about this poems structure as you listened? Check all that apply. (a) An angle measures 29. What is the measure of its supplement?(b) An angle measures 42. What is the measure of its complement? Find the final price of a $849.99laptop with 6% sales tax. Morrison Company manufactures two products: digital cameras and video cameras. The company uses an activity-based costing system. The annual production and sales volume of digital cameras is 10,000 units and of video cameras is 8,000 units. Direct costs for the digital cameras are $122; for the video cameras, direct costs are $153.For overhead costs, there are three activity cost pools with the following expected activities and estimated total costs:Activity Cost Pool Estimated Cost Expected Activity Digital Cameras Expected Activity Video Cameras TotalActivity 1$30,000 100 500 600Activity 2 $45,000 600 300 900Activity 3 $96,600 400 2,000 2,400Refer to Morrison Company. Using ABC, the total cost per digital camera is approximately:Please show calculations! Hypochlorous acid decays in the presence of ultraviolet radiation. Assume that degradation occurs accord- ing to first-order kinetics and the rate of degradation was measured to be 0.12 day1 (at a particular sun- light intensity and temperature). Given this, how long does it take for the concentration of hypochlorous acid to reach nondetectable levels (0.05 mg L1) if the initial concentration were 3.65 mg L1? can u answer this for me ill give brainliest 1)Because the water is polluted, people in the village get a strange disease.-> Because of2)He is very nice, but I don't really trust him.-> Even though 3)In spire of the heavy rain, my father went to work.-> Although4)We arrived at the school safety although it was raining heavily.-> In spite of5)We were late for school because of the heavy rain.-> Because it f(x) = x , g(x) = x+1 find gof (2) , fog (2) Classify the triangle shown below. .11 cm3 cm13 cm The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? The 1960s and 70s was a time where ________.A) Americans widely embraced conservative valuesB) The Youth remained silent and did not question authorityC) The "New Right" embraced deregulation of government policiesD) Many People and groups protested for social change this is 6th grade poetryplease help I don't understand Calculate the measure of angle D: xGiven (x - 1)^2= 50, select the values of x.x = -49x = 51X=1+5v2X=1-5v2DONE