1. Given the following relation, determine the inverse relation.
a. {(-1,0), (- 4,5), (3,2), (-3,5)}
b. f(x) =x + 3

2. Represent the inverse of the following relation algebraically and graphically.
f(x) = 2x - 4

Answers

Answer 1

Answer:

1. a

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

Step-by-step explanation:

1. Since there is one value of y for every value of x in (−1,0),(−4,5),(3,2),(−3,5), this relation is a function.

2. To find the inverse, interchange the variables and solve for y.

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


Related Questions

The statement "one-eighth the age, a" can be expressed algebraically as ?

Answers

Answer:

1/8a

Step-by-step explanation:


What is the area of a rectangle whose width is 6 feet and length is 19 feet?

Answers

Answer:

114

Step-by-step explanation:

A= length x width

A= 6x9

A=114

You sign up for 13 weeks of swim lessons. The total cost is $325. What is the cost per week? PLEASE ANSWER HERRRYYYY!!!!!

Answers

Answer:

you would divide

Step-by-step explanation:

325 ÷ 13= $25 a week

I hope this helped

Answer:

325 divided by 13 = 25

Step-by-step explanation:

help with the question please!! will award :))))))))))))))))

Answers

Answer:

angle 2 is 63 reason is interior angle

angle 3 is 117 corresponding angle

Answer:

measure 1 = 117 degrees

measure 2 = 180 - 117 = 63 degrees

i dont know he reason because i cant see the options

Step-by-step explanation:

its the ch eating off the principal test for me

A rectangle has an area of 18 square feet. A similar rectangle 1

has an area of 160 square feet. What is the ratio of the areas of these

similar rectangles?

Answers

Answer:

[tex]Ratio = 9 :80[/tex]

Step-by-step explanation:

Given

[tex]A_1 = 18ft^2[/tex] --- Area of smaller rectangle

[tex]A_2 = 160ft^2[/tex] --- Area of bigger rectangle

Required

Determine the area of the areas.

The ratio is calculated by the dividing the areas of rectangles.

[tex]Ratio = \frac{A_1}{A_2}[/tex]

Substitute values for A2 and A1

[tex]Ratio = \frac{18ft^2}{160ft^2}[/tex]

[tex]Ratio = \frac{18}{160}[/tex]

Simplify the fraction

[tex]Ratio = \frac{9}{80}[/tex]

Represent as ratio

[tex]Ratio = 9 :80[/tex]

Hence, the ratio of the rectangles is 1 to 9

2h 15m +1h 50m +1h 40m+ 44m+2h 35m+1h 6m+1h 22m

Answers

Answer:

11 h and 32 m is the answer

after adding all together i got 11h and then added all this minutes 32m
so the answer is 11h 32m

Find the slope of the line passing through each of the following pairs of points (0,7), (0,-8)

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is unidentified

Step-by-step explanation:

I checked ;)

What is 85.92 divided by 4

Answers

[tex]correct is it Because Correct[/tex]A.

Answer:

The answer of your question : 85.92 divided by 4 is equal to (21.48)

Mr. Hamilton sponsors the creative writing club. He decided to make booklets of his students'
poems and stories to hand out at the school's activity fair. He went to a local printing shop
that charges $0.25 per page in the book and $1.00 to bind the pages together. The booklet
Mr. Hamilton is making has p pages, and he plans to make 50 booklets.
Pick all the expressions that represent how much Mr. Hamilton will spend making the
booklets.
12.50p + 50.00
50(1.25p)
50(0.25p + 1.00)
12.50p + 50.00p

Answers

Answer:

50(1.25p) and 50(0.25p + 1.00)

Step-by-step explanation:

They both equal the same answer.

50(1.25p) = 62.5

50(0.25p + 1.00) = 62.5

when in parentheses, you multiply

50 * 1.25 = 62.5

50 * 0.25 + 1.00 = 62.5

The expression for the given scenario is 50(0.25p+1.00). Therefore, option A and C are the correct answers.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, Mr. Hamilton sponsors the creative writing club.

He went to a local printing shop that charges $0.25 per page in the book and $1.00 to bind the pages together.

The booklet Mr. Hamilton is making has p pages, and he plans to make 50 booklets.

So, the expression is 50(0.25p+1.00)

= 12.50p+50.0

Therefore, option A and C are the correct answers.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

What ate all of the x-intercepts of the continuous function in the table?

Answers

Answer: (-4,0) and (4,0)

Step-by-step explanation:

Just look where the zeros are in the y (fx) column that corespont the the x.

A solution consisting of 95 mg of dopamine in 95 mL of solution is administered at a rate of 30 ml/hr. Complete parts (a) and (b) below.
a. What is the flow rate in mg of dopamine per hour?
mg/hr (Type an integer or decimal rounded to the nearest thousandth as needed.)

Answers

Answer:

30 mg

Step-by-step explanation:

Flow rate of dopamine per hour:

Flow rate of dopamine per hour =  (95g)*(30ml/hr) / 95ml

Flow rate of dopamine per hour = 30mg

9(2,-3)-5(+8)
FAST LOLOLOL

Answers

Answer:

9(2-3) -5(8)= -49

it must helps you...mark me as brainliest pls

Jesse bought 5.2 kilograms of grapes for AED 7.75. How much would 1 kilogram of grapes cos

Answers

Answer:

The cost of 1 kg is AED1.49

Step-by-step explanation:

Given

[tex]Cost = AED7.75[/tex]

[tex]Weight = 5.2kg[/tex]

Required

Determine the cost of 1 kg grape

To do this, we simply divide the cost of 5.2kg by 5.2kg.

i.e.

[tex]Unit\ Cost = \frac{AED7.75}{5.2kg}[/tex]

[tex]Unit\ Cost = AED1.49/kg[/tex] -- approximated

So, the cost of 1 kg is AED1.49

Show work and answer .............

Answers

Answer:

1. 5

2. 5

3. -3

4.y= -1

5. 5

Step-by-step explanation:

1.)x- 2y= -25 ; y=3x

x-2(3x)=(-25)

x-6x=(-25) ; -5x=(-25) ; x=5

2.) 5x+3y =40; x=y

8y=40; y=5

3.) 4x-3y= -27; x=3y

4(3y)-3y= -27; 12y-3y=-27; 9y=-27; y=-3

4.)x-y=9; x=-8y; -8y-y=9; -9y=9; y=-1

5.) 2x+2y=30; y=2x ; 2x+2(2x)=30; 6x=30; x=5

Solve the Antiderivative ​

Answers

Answer:

[tex] \sqrt{2} \sin \: x + c[/tex]

Step-by-step explanation:

[tex] \int \sqrt{1 + \cos(2x)} \: \: dx \\ \\ = \int \sqrt{1 + 2\cos ^{2}x - 1 } \: \: dx \\ \\ = \int \sqrt{ 2\cos ^{2}x } \: \: dx \\ \\ = \int \sqrt{ 2 }\cos x \: \: dx \\ \\ = \sqrt{ 2 }\int \cos x \: \: dx \\ \\ = \sqrt{2} \sin \: x + c[/tex]

find a and round to the nearest tenth. please help it’s geometry (only answer if you know) :(

Answers

Answer:

54cm

Step-by-step explanation:

because a trangle is half of a square so you have to mutiple by 2 so 27 * 2 = 54 :)

What is 5x5 cause I don’t know what it is

Answers

Answer:

25

Step-by-step explanation:

5 + 5 + 5 + 5 + 5 = 25

Answer:

25

Step-by-step explanation:

that the answer pick me brainliest plz

Kate has some dimes and quarters. If she has 23 coins worth a total of $3.50, how many of each type of coin does she have?

Answers

23=d+q, d=23-q

350=10d+25q, using d from above

350=10(23-q)+25q

350=230-10q+25q

120=15q

q=120/15

q=8, and since d=23-q

d=23-8=15

So there are 15 dimes and 8 quarters

What is 3/5 × 6/5? Move numbers to the boxes to show the answer. If there is no whole number, put in the first box

Answers

Answer:

18/25

Step-by-step explanation:

Escribe el término "punto, línea, plano o superficie" según corresponda a la descripción a la que se hace referencia.


La pantalla de un cine.

Una cuerda tensa.

La punta de un lápiz

Una hoja de papel

La antena de un automóvil

La marca en la piel después de aplicar una vacuna

Un campo de fútbol

El doblez de un folder

La percepción de una estrella en el cielo

El cristal de una ventana

Answers

Punto:

La punta de un lápiz.

Línea:

Una cuerda tensa.La antena de un automóvil.

Plano:

La pantalla de un cine.Una hoja de papel.El cristal de una ventana.

Superficie:

La marca en la piel después de aplicar una vacuna.Un campo de fútbol.El doblez de un folder.

Geometría

El punto es una entidad que tiene una posición, pero no tiene dimensiones (largo, ancho o alto). Por lo tanto, es de dimensión cero, es decir, adimensional. Contiene el significado de lugar, de existencia, pero no tiene elementos mensurables, es decir, no se puede medir.

En contextos geométricos, una línea es un cuerpo unidimensional de forma y longitud arbitrarias. Todos los objetos unidimensionales, como cuerdas, líneas rectas, mitades y perímetros, son líneas. Se cree que una línea se forma cuando un punto de dimensión cero se mueve en el espacio y forma una línea infinita de múltiples puntos.

Intuitivamente, el concepto de plano se puede describir como una superficie perfectamente recta (es decir, sin curvatura ni cavidad) y lisa, que tiene volumen cero y ocupa solo las dos dimensiones del espacio tridimensional.

La superficie de un objeto se refiere a una superficie bidimensional, que separa el objeto de otros objetos y del entorno. En topología, la superficie es una dimensión bidimensional.

Aprenda más sobre geometría en https://brainly.com/question/4637858

Please help i no not know

Answers

Step-by-step explanation:

total is 180* subtract 180by 149 u get x   180-149=31*

x = 31 degrees since

Kaylee invested $830 in an account paying an interest rate of 6.6% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,260?

Answers

Answer:

t≈6

Plug values into A=P(1+r/n)^nt

solve for q 19 = q + 4 q=

Answers

Answer:

Assuming the 19 stood for an exponent, q = 1.098...

Step-by-step explanation:

Plugging in [tex]q^{19} = q + 4[/tex] in the graphical calculator, we can see that the solution is approximately q=1.098. There are no ways of solving this equation algebraically.

Answer:

q = 15

Step-by-step explanation:

19 = q + 4

Subtract 4 from each side

19-4 = q + 4-4

15 = q

What is the equation of the line? (Lol please answer I didn’t pay attention in class)

Answers

Answer: Y=1/2+2

Why? You find the slope of the line but picking one point the intersects directly on a point then rise up and over to find the next point that intersects directly on a point so I used point 0,2 and rise 1 and over 2 to get to point 2,3.
Slope= rise/run so it’s 1/2
And the last number in the equation is the y intercept because Y=mx+b
M=slope
B= y intercept
The y intercept is 2

Hope this helps (if I need to explain better just comment on this and I can try)

help me please asap I'll give brainleist ​

Answers

the answer should be number B

B!!!!!!!!!!!!!!!!!!!!!!

hope this helps

What is the domain and range of the relation?

Answers

Answer:

I think option c is answer

Is it c or b right now ok

What is the mode of 3, 3, 4, 5, 10?

Answers

Answer:

3

Step-by-step explanation:

The mode is the number that occurs most frequently in a set of numbers

Also:

I saw that this is your first question. Welcome to the Brainly community.

The mode of the data set 3, 3, 4, 5, 10 is 3

What is mode?"It the value that appears most frequently in a data set.""A data set may have one mode, more than one mode, or no mode at all."

For given question,

We have been given a set of data.

3, 3, 4, 5, 10

The frequency of each value in the data set is:

Value        Frequency

  3                   2

  4                   1

  5                   1

  10                  1

We can observe that, 3 appears most frequently in a data set.

Therefore, the mode of the data set 3, 3, 4, 5, 10 is 3

Learn more about the mode of the data set here:

https://brainly.com/question/6813742

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The Super Lotto Plus game consists of a player selecting five different numbers from 1 to 47 and a mega number from 1 to 27 (the order is unimportant and the mega number need not be different from the other numbers). (11) What is the probability of all five numbers and the mega number matching the winning numbers

Answers

Answer:

1/41416353 probability of all five numbers and the mega number matching the winning numbers

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Probability of the five numbers matching:

Desired outcomes: 1 -> the matching numbers

Total outcomes: 5 from a set of 47. So

[tex]T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939[/tex]

Probability:

[tex]p_{S} = \frac{1}{1533939}[/tex]

Probability of the mega number matching:

1 from a set of 27. So

[tex]p_M = \frac{1}{27}[/tex]

Probability of both matching:

Independent events, so we multiply the probabilities:

[tex]p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}[/tex]

1/41416353 probability of all five numbers and the mega number matching the winning numbers


You buy a cell phone plan that gives you up to 1000 minutes of calling for $20 per month. During a particular month, you use only 100 minutes. What is your per-minute cost for that
month?

Answers

Answer:

20 cents

Step-by-step explanation:

Hello Cassidy,
To solve this problem, you could use a proportion to solve for your question. I have attached the work as well. On the top of your fractions, can be the money. On the bottom is the minutes. Note: these can be interchangeable, as long as all your numeric values (numbers) and variables are in the right place. Then cross-multiply. Solve the equation for your answer (money for minutes). I used the variable m, as I find it helps if it relates to your problem. M is for money. Hope this helps!

Find the y-intercept of the following equation. Simplify your answer. 8x - 3y = -3​

Answers

The y-intercept is (0,1)
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