Determine if they are inverses of each other

Determine If They Are Inverses Of Each Other

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

f(x) = y = 4 - 7x/4

7x/4 + y = 4

7x/4 = 4 - y

7x = 4(4-y)

x = 4(4-y)/7 = 16/7 - 4y/7

renaming to regular function convention (with x as input variable and y as function result) :

inverse function f(x) = y = -4x/7 + 16/7 = g(x)

so, yes, they are inverses of each other.


Related Questions

find the value of x.

Answers

Please take another picture with the full question. I cannot help you with your question if not everything is presented.

what is 4b + 6 ≤ 18. I don't know how to solve it and don't know the answer.

Answers

Answer:

b≤3

Step-by-step explanation:

For this problem, you want to solve it similarly to linear equations.

We start with 4b+6≤18.

Subtracting 6 from both sides gives 4b≤12.

From there, in order to isolate the b, we must divide both sides by 4, leaving b≤3.

**This content involves solving linear inequalities, which you may wish to revise. I'm always happy to help!

180 miles in 3 hours, what's the unit rate?

Answers

Answer:

60 or 60:1

Step-by-step explanation:

You will have to divide 180 by 3 which is 60 or you can divide 160 / 3 = 60 & divide 3 / 3 = 1.

Answer:

60

Step-by-step explanation:

60

Which expression is equivalent to the following complex fraction?
3/x-1 -4 /2 -2/x-1
2(x-2)
-4x+7
-4x+7
2(x-2)
-4x+7
2(x2 - 2)
26x2 - 2)
-4x+7

Answers

Answer:

[tex] \frac{3}{x - 1} - \frac{4}{2 } - \frac{2}{x - 1} \\ = \frac{(3 - 2)}{x - 1} - 2 \\ = \frac{1}{x - 1} - 2 \\ = \frac{1 - 2x + 2}{x - 1} \\ = \frac{3 - 2x}{x - 1} [/tex]

The graph represents the piecewise function:
f(x)= { __, if -1 ≤ x ≤ 1; __, if 3 ≤ x ≤ 5 }

Answers

Answer:

4, x-1

Step-by-step explanation:

The first piece of this function goes from -1 to 1. Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.

The second piece of this function goes from 3 to 5. This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1. Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis). When putting this equation together we get x-1 being the second part.

The solution is:

The graph represents the piecewise function:

f(x)= { 4, if -1 ≤ x ≤ 1;

         (x - 1), if 3 ≤ x ≤ 5 }

What is graph?

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

The first piece of this function goes from -1 to 1.

Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.

so, we have,

The second piece of this function goes from 3 to 5.

This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1.

Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis).

When putting this equation together we get x-1 being the second part.

Hence, The solution is:

The graph represents the piecewise function:

f(x)= { 4, if -1 ≤ x ≤ 1;

         (x - 1), if 3 ≤ x ≤ 5 }

To learn more on graph click:

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#SPJ7

hi i need help with this algebra vocabulary please

Answers

Answer:

slope

Step-by-step explanation:

The slope is the rise divided by the run

Answer: The slope.

Step-by-step explanation: That's what I think.

solve for x.round to the nearest tenth, if necessary.​

Answers

sin 42= 64/x
64/sin 42=95.6

Which object is the result of rotating the triangle about line m?

Answers

the answer is c! hope it helps, can i have brainliest?? im so close to leveling up

7) If £1 = €1.14.
Work out what €144 is in pounds.

Answers

Answer:

[tex]126\frac{6}{19}[/tex] £

Step-by-step explanation:

£1 = €1.14  /[tex]*\frac{144}{1.14}[/tex]

£[tex]\frac{144}{1.14}[/tex]=144€= [tex]126\frac{6}{19} \\[/tex]£


(6x-4) (3x+4)º find the value of x.

Answers

Answer:

x = 20

Step-by-step explanation:

The angles form a straight line so they add to 180 degrees

6x-4 + 3x+4 = 180

Combine like terms

9x=180

Divide by 9

9x/9 = 180/9

x= 20

20

Hope this helps! :)

______________

plz help me with this

Answers

Answer:

27.7

Step-by-step explanation:

Pythagorean Theorem

[tex]88.3^{2}[/tex] - [tex]10.7^{2}[/tex] = [tex]x^{2}[/tex]  (10.7 comes from half of the 21.4 side)

[tex]x^{2}[/tex] = height

A communication tower is built on the slope of a hill. A surveyor, 50m uphill from
the base of the tower, measures an angle of 50 between the ground and the top
of the tower. The angle from the top of the tower to the surveyor is 60°.
Calculate the height of the tower to the nearest metre. [A2]
А
60
tower
50
O surveyor
50 m
B

Answers

Answer:

Step-by-step explanation:

a

The height of the tower is 44.23 meters after applying the sin law in a provided triangle.

What is the trigonometric ratio?

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have:

A communication tower is built on the slope of a hill.

A surveyor, 50m uphill from the base of the tower, measures an angle of 50 between the ground and the top of the tower.

Applying sin law:

sin50/AB = sin60/50

AB is the height of the tower.

sin50/AB = 0.0173

AB = 44.227 ≈ 44.23 meters

Thus, the height of the tower is 44.23 meters after applying the sin law in a provided triangle.

Learn more about trigonometry here:

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Length of radius r ?

Answers

Answer: 10

We know that the radius of a circle is always perpendicular to the tangent. And so apply the Pythagoras theorem.

Answer:

The answer would be 10.

Step-by-step explanation:

We're doing C^2 - B^2 = A^2 since we know the hypotenus. 26 x 26 is 676 and 24 x 24 is 576. Subtract the two products to get 100. The square root of 100 is 10.

can someone pls help for brainlest

Answers

Answer:

6.28km

Step-by-step explanation:

Hey,

We know that the circumfrence is the perimetert of a full circle. If we want to find the perimeter of a semicircle all we have to do is find the circumfrence and then divide it by 2 since we want to know the perimeter of half the circle.

Circumfrence is equal to 2πr. Where r is the radius and since we know the radius we an solve for the circumfrence.

2(π)(1km)=2kmπ.

The problem tells us to use 3.14 for pi so let's multiply 2 by 3.14.

6.28km is the answer!

what the guy above me said

please help me i need help

Answers

108,375 is the correct answer

Answer:

108, 375 m²

Step-by-step explanation:

Rectangular field area: 280 m·390 m=109200 m²

Barn area: 25 m·33 m=825 m²

Subtract

109200 m²-825 m²=108375 m²

please answer me this question ​

Answers

Answer:

x=0.4 and y=0.6

Step-by-step explanation:

Given :

[tex]\frac{x}{2} +y=0.8\\x+2y=1.6.......(1)\\\frac{7}{x+y/2} =10\\\frac{7}{2x+y/2} =10\\\frac{7*2}{2x+y} =10\\\frac{14}{2x+y} =10\\14=10(2x+y)\\14=20x+10y.....(2)[/tex]

From solving above equation (1) and (2)

x=0.4

y=0.6

I NEED HELP WITH MATH

Answers

38.

f(3)

= 5(3) - 2

= 15 - 2

= 13

39.

5x - 20 = 0

=> 5x = 0 + 20

=> 5x = 20

=> x = 20/5

=> x = 4

38.)

option H

F(3) = 13

39.)

option C

40.)

{-4 , 8}

For each equation choose a value for x and then solve to find the corresponding y value that makes that equation true. Write your solutions in the form of an ordered pair (x,y).
1)6x=7y
2) 5x+3y=9
3) y+5-(1/3)x =7

Answers

Answer:

3) y+5-(1/3)x =7

Step-by-step explanation:

Find at least three solutions to the equation y = 2x, and graph the solutions ... points to make a line. Find the slope of the line. y=3x- x. 3x-1 . -6 -5 -4 -3 -2 -1 ... Solve the following equation for y, and then identify the slope of the line​

What is the last answer and how is it wrong?

Answers

Answer and Step-by-step explanation:

I think it wants you to keep it in the form it showed. I remember doing this this year, so it should be:

[tex]\frac{f(a+h)-f(a)}{h} = \frac{3a +3h + 6 -(3a + 6) }{h}[/tex]

Then after this step you distribute the negative, and combine like terms. After, you divide the h and you get 3 as your answer.

IF it still doesn't work like how I showed it, contact your teacher for help, saying you are pretty sure you got it right (if you put mine and it didn't work) but it is saying it is incorrect.

#teamtrees #PAW (Plant And Water)

.find x in the following figure ​.plsss helppp!!!

Answers

100 hope this helps!!!

pretty simple just fill in the blank from the drop down menu please !

Answers

Answer:

vertical hope this helps

Answer:

vertical, goodluck

Step-by-step explanation:

I took this

find p(0),p(1)in (a)p(X)=X⁴_X/2+3X (b) p(X)=2+y+2y²_y³​

Answers

Answer:

i hope this will help u

Step-by-step explanation:

if p(0) so answer is 0

if p(1) so answer is 7/2 or 3.5

If 13 candy bars cost $21.97, how much do 20 candy bars cost?

Answers

Answer: $33.80

Step 1: Find out the cost for one candy bar

To find out the cost for one candy bar, you will need to divide $21.97 by 13. Another way to say this would be by rewriting the equation as 13x=21.97. After dividing, you see that one candy bar is $1.69.

Step 2: Find out the cost for 20 candy bars

To figure out the cost of 20 candy bars, simply multiply the price for one by 20. Another way to say this would be by rewriting this as 1.69x20=33.8.

Step 3: Your answer!

By completing the above steps, you have figured out the answer of $33.80.

Hope this helps!

HELP PLEASE == PGR is an isosceles triangle in which PQ=PR
M and N are points on PQ and PR such that angle MRQ and angle NQR.
Prove that triangles QNR and RMQ are congruent

Answers

Answer:

Angle NQR congruent to Angle MRQ because it is given

Side QR is congruent to side QR because they are the same side

Angle NRQ is congruent to angle MQR because they are the equal angles of an isosceles triangle

Triangle QNR is congruent to Triangle RMQ by ASA

Step-by-step explanation:

It's actually pretty simple.  first you should be able to know angles NRQ and  MQR are congruent because triangle PQR is isosceles .  So now if you look at the two other triangles you can say angle NQR is congruent to angle MRQ, because of the information given, and with wht I just explained angles NRQ and MQR are congruent.  So now you can say the two triangles are similar by the angle angle postulate.  

To Say they are congruent since QR is the same for both triangles you can use the ASA postulate

Solve by finding the square roots: 3x2 - 9 = 3

Answers

Answer:

x= 2 or x= -2

Step-by-step explanation:

3x² -9= 3

+9 on both sides:

3x²= 9 +3

Simplify:

3x²= 12

Divide by 3 on both sides:

x² =4

Square root both sides:

[tex]x = \sqrt{4} [/tex]

x= 2 or x= -2

You roll 2 6-sided dice 50 times. How many times should you theoretically get a sum of 7?

Answers

Okay, so it sounds like you just need a die to do this assignment. If you need a website, you can use this: https://freeonlinedice.com/#dice

There should already be one die here. Just click "roll" and record the value at the top of the screen labeled "total." Do this 30 times and write down the values each time.

I am sorry for not giving you the answer right away, I would but my school blocked the website of the link I put above.

3
Find the value of x. Round your answer to the nearest tenth.
22
X
58

Answers

Answer:

13.7

Step-by-step explanation:

take 58 degree as reference angle

using tan rule

tan 58 =opposite/adjacent

1.600=22/x

x=22/1.600

x=13.75

x=13.7

HELP!!! Chords AB and BD intersect in circle O as shown in the diagram. Two of the angle measurements are marked. What is mCED?
A. 24 degrees
B. 65 degrees
C. 72 degrees
D. 130 degrees

Answers

I would have loved to help but you didn’t attach the picture as far as I’m concerned or I don’t see it sorry ^^;;

Answer:

48+82)/2 = 65  

Answer C

Step-by-step explanation:

48+82)/2 = 65

(I just had this exact same question so I saw the picture)

Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.

Answers

Answer:

4X+5

Step-by-step explanation:

Dan : X

Harry: X+5

Regan: 2X

X+X+5+2X

Answer:

[tex]Mean = \frac{4x + 5}{3}[/tex]

Step-by-step explanation:

Given:

Dan sold = x

Harry sold 5 more than Dan, that is = x + 5

Regan sold twice as Dan = 2x

[tex]Mean = \frac{ Total \ cars \ sold}{number\ of \ them \ sold \ it }\\\\Mean = \frac{x + ( x+ 5) +2x }{3} = \frac{4x + 5}{3}[/tex]

Question 6 of 10
If the coefficient of determination for a data set containing 8 points is 1, how
many of the data points must lie on the regression line for the data set?
A. 8
B. 6
C. 7
D. 5
SUBMIS

Answers

Answer:

5Sabihin mo po Kung mali

Answer:

A. 8

Step-by-step explanation:

Keep in mind my answer choices are in a different order.

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