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

A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Jayden measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot. 11 ft 20 ft-8 ft​

Answers

Answer:

7 feet after applying the pythagorean theorem

Step-by-step explanation:

Need done by 08.00 today
An iron ball has a density of 6 g/cm3.
The volume of the ball is 13 cm3.
What is the mass of the ball?

Answers

Step-by-step explanation:

Mass = Density × Volume or m=pV

Density = 6

Volume = 13

6 × 13 = 78

The mass of the iron ball is 78.

Answer:  78 grams

===================================================

Work Shown:

d = density = 6 grams per cm^3

m = mass = unknown

v = volume = 13 cm^3

--------

d = m/v

dv = m

m = dv

m = 6*13

m = 78 grams

Please help this is the only one im stuck on...10 points

evaluate the expression for n = 2.

3 − 6n =

Answers

Answer:

9 is the answer

Step-by-step explanation:

3- 6(2) = 9

Answer:

9

Step-by-step explanation:

(6)×2-3. = 12-3=9. hope helpful answer

lus
A
B
С
D
If AC = 18 and CD = 5, AD = [?]
Enter

Answers

Answer:

hey,

18+5=23

so AD=23

this is the correct answer :)

please mark as brainliest

In circle Q with M PQR equals 42 and PQ equals seven units, find the length of arc PR. Round to the nearest hundred

Answers

Answer: [tex]5.13\ \text{units}[/tex]

Step-by-step explanation:

Given

In a circle, [tex]\angle PQR=42^{\circ}[/tex]

[tex]PQ=7\ \text{units}[/tex]

Arc length is given by

[tex]\Rightarrow l=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r[/tex]

Insert the values

[tex]\Rightarrow l=\dfrac{42^{\circ}}{360^{\circ}}\cdot 2\times \dfrac{22}{7} \times 7\\\\\Rightarrow l=5.13\ \text{units}[/tex]

The length of the arc PR is [tex]5.13\ \text{units}[/tex]

A right triangle has side lengths 5, 12 and 13 as shown below use these lengths to find cosB tan B and sin B
PLZ SOMEONE HELP BRAINLIEST

Answers

Answer:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]

tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{12}{5}[/tex]

sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]

2 (x + 3) = x - 4
pls help me

Answers

Answer:

-10

Step-by-step explanation:

2x+6 =x-4

x+6=-4

x=-10

Answer:

-10

Step-by-step explanation:

2 ( x + 3) = x - 4

2x + 6 = x - 4

collect terms

2x -x = -4 -6

x = -10

Hope this helps!

Question and choices are in the photo please explain the answer

Answers

Answer:

B

Step-by-step explanation:

expand the brackets

2x² - x + 10x -5 = 3x + 15

combine like terms

2x² + 9x  - 5 = 3x + 15

2x² + 6x - 20 = 0

divide through by 2

x² + 3x - 10 = 0

factorise

determine factors of -10x² that would add up to 3x

they are 5x - 2x

(x² -2x) (5x - 10)

x(x - 2) +5(x-2)

x + 5 = 0

x = -5

x - 2 = 0

x = 2

A patio deck in the shape of a parallelogram has three square cutouts for trees to grow through each square has a side length of 4 1/2 ft what area of wood boards is needed to cover the deck while leaving room for the square cutouts

Answers

Answer:

1048.05 square feet.

Step-by-step explanation:

The area of the deck is 50.4 x 22 = 1108.8 square ft.

The area of 1 cut out is 4.5 x 4.5 = 20.25

There are 3 cut outs so total area of the cut outs is 20.25 x 3 = 60.75 square ft.

The total area of the boards is : 1108.8 - 60.75 = 1048.05 square feet.

Describe the graph of the linear function with this equation: y + 3 = 1/3 (x-2)

Answers

Answer:

it has a slope of 1/3 and a point on the graph is (2,-3)

Step-by-step explanation:

dylan invested $600 in a savings account at a 1.6% annual interest rate. He made no deposits or withdrawls on the account for 2 years. the intrest was compounded annually find to the nearest cent the balance in the account after 2 years

Answers

Answer:

below

Step-by-step explanation:

that is the procedure above

The balance in the account after 2 years is $619.35.

What is the compund interset?

The compound interest for an amount depends on both Principal and interest gained over periods.

Dlan invested $600 in a savings account at a 1.6% annual interest rate.

He made no deposits or withdrawls on the account for 2 years.

The balance in the account after 2 years is given by;

[tex]\rm Amount =Principal(1+rate)^{time}[/tex]

Substitute all the values in the formula

[tex]\rm Amount =Principal(1+rate)^{time}\\\\\rm Amount =600(1+0.016)^2\\\\ Amount =600(1.016)^2\\\\ Amount = 600 \times 1.03\\\\Amount =619.35[/tex]

Hence, the balance in the account after 2 years is $619.35.

Learn more about compound interest here;

https://brainly.com/question/14295570

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Lacy got a $100 gift card to an online clothing store. She
uses the gift card to buy a pair of pants for $19.99. She
also wants to use the gift card to buy some shirts. Each
shirt costs $11.69.
Which of these inequalities describes this situation, where
n is the number of shirts Lacy wants to buy?

Answers

Answer:

80.01>11.69n

Explanation:

100-19.99=80.01

she has 80.01 dollars to spend on shirts. The shirts are 11.69 with n being the number of shirts. we have to take off 19.99 because she bought the pants so the total has to be less then 80.

Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1)

Answers

Answer:

y = (-1/4)x

Step-by-step explanation:

the factor of x is in a line equation the slope of the line.

it residents actually the ratio of y/x.

in our original equation that means that for every change of x by 1 unit y changes by 4 units (actually -4 units) => -4/1 ratio.

a perpendicular line just reverses that ratio.

now, x had to change by 4 units for y to change by 1 unit (actually -1 unit)

=> -1/4

so, our wanted line equation must be in the form of

y = (-1/4)x + c

c is the offset of the line from the (0,0) point in y direction.

so, what is c ?

now we use the information of the point that is stored to be in that line : (4,-1)

=> -1 = (-1/4)×4 + c

=> -1 = -1 + c

=> c = 0

therefore, the desired line is

y = (-1/4)x

What is the circumference of a 12 inch (diameter)
pizza?

Answers

the circumference is 37.68.
explanation:
formula of a circle: 2x3.14(pi)xradius
so we know that the diameter is 12. in order to find the circumference, we need the radius. to find radius with the given diameter, you divide the diameter by 2. 12/2=6.
using the formula for circumference, 2 x 3.14 x 6 = 37.68

Please help will mark the brainliest

Answers

Answer:

452.4 mi^2

Step-by-step explanation:

area of circle=πr^2

=22/7*(12)^2

=3.142*144

=452.448

=452.4 mi^2

Answer:

C)    452.4 mi²

Step-by-step explanation:

a = πr²

a = π * 12²

a = π * 144

a = 452.3893421169

a = 452.4

The base and height in a figure are always what?

Answers

Answer:

Perpendicular

Step-by-step explanation:

By definition, the base and height of a figure must always intersect at a [tex]90^{\circ}[/tex] angle. Therefore, they are always perpendicular.

Answer all please I need this :o

Answers

Answer:

18. d

19. c (not sure)

20. c

Answer:

18) d. Synopsis

19) c. Duration

20) c. Pacify

Step-by-step explanation:

18) When you don’t wanna give the full version of a story sum it up; give a summary or synopsis!

19) Uh tbh it just makes the most sense in context of the sentence, read it all together and you’ll see ;)

20) In the sentence it says “calm down” only way to calm someone down is to pacify them or give them what they want… in this context she needs to pacify them. Plus it just makes sense.

Hope this helps, good luck have a good day!

Explain how rays AB and AC form both a line and an angle.

Answers

Answer:

Angles are rays with a shared endpoint.

Lines extend forever in either direction.

Rays AB and AC extend forever in either direction.

Step-by-step explanation:

Answer:

An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.

Step-by-step explanation:

Part B
If Diana spends 25 minutes running at the gym, how many minutes does she spend lifting weights?

Answers

Answer:

please write in the comments ,the total minutes she spent in the gym , then only we can solve the answer , without total minutes we cannot solve this question

Answer:

13 minutes lifting weights.

Step-by-step explanation:

Diana spent a total of 25 minutes and spent 12 more minutes running than she did lifting weights. So if you subtract 25 from 12 you get 13.

Two tankers contain 35 litres and 50 litres of petrol, the maximum capacity of a container which can measure the petrol of either tanker in exact number of times : *

Answers

Answer:

The maximum capacity of a container which can measure the petrol of either tanker in exact number of times is 5 litres

Step-by-step explanation:

Given

[tex]L_1 = 35L[/tex]

[tex]L_2 = 50L[/tex]

To calculate the required maximum capacity, we simply calculate the HCF of both capacities.

We have:

[tex]L_1 = 35L[/tex]

[tex]L_2 = 50L[/tex]

Factorize both:

[tex]L_1 = 5 * 7[/tex]

[tex]L_2 = 2 * 5 * 5[/tex]

The HCF is:

[tex]HCF = 5[/tex]

. Parallelogram ABCD,

Answers

Diagram not attached, please add the question.

i need to know how to do translations

Answers

for what language? then i’d be able to help you out!

Question 15 of 25
If the factors of a polynomial are x + 8 and x+4, what values of x make that
polynomial O?
A. -8 and -4
B. 8 and -4
C. -8 and 4
D. 8 and 4

Answers

Answer:

Step-by-step explanation:

Polynomials are factored after they are set equal to 0. This i because the factors of the polynomial are also known as the x-intercepts, and x-intercepts exist where y = 0. Therefore, if the factors of the polynomial are

(x + 8)(x + 4) = 0, then by the Zero Product Property,

x + 8 = 0 so x = -8 or

x + 4 = 0 so x = -4. Choice A.

Find the sum of the following series. Round to the nearest hundredth if necessary,
3 + 6 + 12+ ... +49152
Sum of a finite geometric series:
Q] - a
Sn =
1-T

Answers

Answer:

[tex]sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ : but \: l = a( {r}^{n - 1} ) \\ 49152 = 3( {2}^{n - 1} ) \\ 16384 = {2}^{n - 1} \\ {2}^{n} = 32768 \\ {2}^{n} = {2}^{15} \\ n = 15 \\ \therefore \: sum = \frac{3(2 {}^{15 - 1}) }{15 - 1} \\ = \frac{49152}{14} \\ = 3510.9[/tex]

A student says that the value of the expression 5 + 25 /5 is 6.What error did the student make?

Answers

The answer is 10 because the student student did not follow order of op. This means that the student added 25 and 5 together then dived that. However he should have divided 25 by 5 first and then added 5

Answer:

The student added 5+25 before, thus not following the order of PEMDAS. The student should've divided 5/ 25 before adding.

Step-by-step explanation:

Determinar el ángulo NPO, si el ángulo PON es igual a 132 grados y el segmento NP es bisectriz del ángulo P y N.

Aquí les dejo una pista, la respuesta correcta es: 24 grados.

Answers

Iqiqkauquyiqiquwhwhjaw

The measure of ∠NPO is equivalent to 24°.

What are angles?In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles

Given is that if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.

Now -

OP = ON

So, this means that ∠OPN = ∠ONP = x° {say}

We can write -

∠OPN + ∠ONP + 132° = 180°

2x = 48°

x = 24°

Therefore, the measure of ∠NPO is equivalent to 24°.

To solve more questions on angles, visit the link below -

https://brainly.com/question/18166236

#SPJ2

{

Question in English is as follows -

Determine the angle NPO, if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.

Here's a hint, the correct answer is: 24 degrees.

}

What tool would use to measure around a cup​

Answers

Answer:

one tool you can use would be tape measure

Find the value of x and the measure of the exterior angle. (9x+16) (5x-14)

Answers

Answer:

[tex]x = 15 \: \: .....(5(15)- 14) = 61[/tex]

[tex](9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]


Simplify the radical.

Answers

Answer:

See below for answers

Step-by-step explanation:

Problem 7: [tex]\sqrt{125}=\sqrt{25*5}=\sqrt{25}\sqrt{5}=5\sqrt{5}[/tex]

Problem 8: [tex]\sqrt{200}=\sqrt{100*2}=\sqrt{100}\sqrt{2}=10\sqrt{2}[/tex]

5√5



hope this helps:))

6. Fill in the blanks:
integer

(i) O is greater than every
integer
(ii) Every negative integer is less than every
(iii) For any two positive integers a and b, if a <b, then -a. -b
(iv) Modulus of a negative integer is always
(u) The largest negative integer is
(vi) The smallest positive integer is​

Answers

Answer:

O is greater than every

integer

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