If f(x) = 2x – 5, find the inverse. This function passes the Horizontal Line Test which means it is a onetoone function that has an inverse. y = 2x – 5 Change f(x) to y. x = 2y – 5 Switch x and y. Solve for y by adding 5 to each side and then dividing each side by 2.

Answers

Answer 1

A function assigns the values. The inverse of the function is y = (x+5)/2.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

To find the inverse of the function, the function is needed to be solved for x, and then replace x with y and vice versa. Therefore, the inverse of the function will be,

f(x) = y = 2x - 5

y = 2x - 5

y + 5 = 2x

x = (y+5)/2

y = (x+5)/2

Hence, the inverse of the function is y = (x+5)/2.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1


Related Questions

Which choice is the most efficient first step to solve this set of
equations?
y=3x-5
2x+6y=20

Answers

Answer:

b) Substitute (3x - 5) for y in the second equation.

Step-by-step explanation:

If using the substitution method, then the second choice is the most efficient first step.

What is the substitution method?

The substitution method can be used to solve a system of equations. It is when you isolate any of the variables from one of the equations and then substitute that value into the other equation.

Here, the first equation already has an isolated variable, y. We can then substitute its value into the second equation. Like so:

⇒ 2x + 6y = 20

⇒ 2x + 6(3x - 5) = 20

Learn more about the substitution method here:

brainly.com/question/27728118
brainly.com/question/26094713

does this table represent a function? yes or no

Answers

Answer:

D

Step-by-step explanation:

The table does not represent a function because their are two x values with the same y value.

Answer:

C. No, one x --- two different y's

Step-by-step explanation:

In order to be a function, every x can have only one y partnered with it. So if the function is written in this two-column format, if no x's repeat, you can say it is a function. If an x does repeat, it MUST have they same y both times. Here 2 repeats in the x column, but at first it is with 1 and in the next row it is with 4. Can't have that! So this is not a function!

(Btw, it doesn't matter at all the 4 repeats in the y-column nor that it is paired with different x's. Doesn't matter. Not a thing)

A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?

Answers

Answer: 26 inches is equivalent to 660.4 millimeters.

Step-by-step explanation:

You will multiply the inches by the conversion.

[tex]26in*25.4mm=660.4mm[/tex]

Therefore, the answer is 660.4 millimeters.

I hope this helps!! Pls mark brainliest :)

Andy fed his dog about 16kilogram of food in one week. he fed his cat about 2 kilogram of food in one week what is the best estimate for the total amount of food he feeds his dog and cat in2 weeks. each animal represent 4 kilogram of food

Answers

Answer:

36kg

Step-by-step explanation:

The dog eats 16kg per week, which is 32kg in 2 weeks

The cat eats 2kg per week, which is 4kg in 2 weeks

32+4=36

Subtract-3x - 8 from 4x² - 7x - 2.

Answers

[tex]( {4x}^{2} - 7x - 2) - (3x - 8) \\ \\ {4x}^{2} - 7x - 2 - 3x + 8 \\ \\ {4x}^{2} - 10x + 4.[/tex]

Simplify [tex]\sqrt{18}. \\[/tex]

[tex]A; 2\sqrt{3} \\B; 2\sqrt{9} \\C; 3\sqrt{2} \\D; 9\sqrt{2} \\[/tex]

Answers

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

Answer:  [tex]\textsf{Option C, 3}\sqrt{2}[/tex]

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

Given:  [tex]\sqrt{18}[/tex]

Find: [tex]\textsf{Simplify the expression}[/tex]

Solution: In order to get a number outside of the square root there must be two of them inside of the square root.  The first step that we need to take is to break down the number 18 into it's lowest factors and then take out the numbers can be taken out.

Break down the number 18

[tex]\sqrt{18}[/tex][tex]\sqrt{\textsf{2 * 3 * 3}}[/tex][tex]\sqrt{\textsf{2 * 3}^2}[/tex]

Take 3 outside of the square root

[tex]\sqrt{\textsf{2 * 3}^2}[/tex][tex]\textsf{3}\sqrt{\textsf{2}[/tex]

Therefore, the option that would best match the results that were solved for is option C, [tex]\textsf{3}\sqrt{\textsf{2}[/tex]

The answer is D because that’s the square root

What percent of patients with type-B blood are male? Round your answer to the nearest tenth of a percent.

Answers

Answer:

54%

Step-by-step explanation:

To find the probability for a male patient to have B blood, find the number of male patients who do have B blood and divide it by the number of patients with type B.

The number of male and B blood is 99.

The number of patients with B blood is 183.

The probability is 99/183 = 0.54.

The percent is found by multiplying by 100.

0.54*100 = 54%

Help please this is stressing me out.

Answers

Step-by-step explanation:

As far as I understand, they can use all 26 letters (alphabet) and all 10 digits (0, 1, ..., 9), and the password looks like this:

letter-letter-letter-letter-letter-letter-number-number (6 letters, 2 numbers).

▪︎ They can reuse the letters, so they can choose the 1st letter out of 26 possible letters, then they still can choose the 2nd letter out of 26 (it's ok if they have both A's for example, they can reuse them) and so on. So each time they can choose one letter out of 26. Thus, it's 26*26*26*26*26*26.

▪︎ The same thing with numbers. Each time they can choose one number out of 10, so it's 10*10.

▪︎ Therefore, the answer is 26*26*26*26*26*26*10*10 = 30,891,577,600. That's almost 31 billion passwords.

Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distance (in meters). Find v when u is 6 m/s, a is 3 m/s², and s is 29 meters. A. 210−−−√ m/s B. 15 m/s

Answers

Answer:

When the initial velocity is 6m/s and acceleration is 3m/s², the final velocity after a distance of 29m is √210m/s.

Step-by-step explanation:

Concept: In the problem it is given that u = 6m/s, a = 3m/s² and s = 29m. We need to find the v. In such kinematical problems, we have an equation v² = u² + 2as. From this relation we can find v.

v² = 6² + 2×3×29

v² = 36 + 174

v² = 210

v = √210 m/s

So, the final velocity is the under-root of 210 or √210 m/s.

For more explanation, refer the following link

https://brainly.com/question/17158762

#SPJ10

The dimensions of a rectangles are 8cm and 12cm. What is the ratio of its length to its perimeter?

Answers

Answer:

Dimensions = 8 CM and 12 CM

length = 12 CM

width = 8 cm

perimeter = 2 ( length + width)

= 2( 12 + 8)

= 2 ( 20)

= 40 CM

ratio = 12/40

= 6/20

= 3/10

= 3 : 10

(x+2)^2-3 evaluate and simplify the equation

Answers

Answer:

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

Answer:

x^2+4x+1

Step-by-step explanation:

(x+2)^2-3

(x+2)(x+2)-3

x^2+2x+2x+4-3

x^2+4x+4-3

x^2+4x+1

simplify

5cat + 3act - 6tac

Answers

Answer:

the correct answer is 2 act

Step-by-step explanation:

there is same base (act)

then 5+3=8

and 8-6 = 2act

(6+9)2+6(600-9)+600 divide 30

Answers

Step-by-step explanation:

GIVEN

HERE

= 6+9+2+6+600÷30 { firstly add numbers }

= 623 ÷ 30

= 20

I think you understand

20 simple math , pretty easy

What is an equation of the line that is perpendicular to y - 4 = 2(x - 6) and
passes through the point (-3, -5)?
• A. y -5=1/2(x-4)
• B. y - 5 = -2(x- 3)
• C. y + 5 = 2(x+ 3)
O D. y +5- -1/2(x+3)

Answers

Answer:

D. y + 5 = -1/2(x + 3)

Step-by-step explanation:

Let k: y = a₁x + b₁ and l: y = a₂x + b₂. Then

k ║ l ⇔ a₁ = a₂k ⊥ l ⇔ a₁ · a₂ = -1

We have the euation of a line in point slope form:

(y - y₁) = m(x - x₁)

Convert to the slope intercept form:

y =mx + b

y - 4 = 2(x - 6)

y - 4 = 2x - 12

y - 4 + 4 = 2x - 12 + 4

y = 2x - 8

The slope is m₁ = 2.

Let y = m₂x + b.

The lines is perpendicular. Therefore:

2m₂ = -1     |divide both sides by 2

m₂ = -1/2

The line passes through the point (-3, -5).

Substitute to the point slope equation:

y - (-5) = -1/2(x - (-3))

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

Which expression is equivalent to 7a³ (8a² + a)²-4a³?
Simplify.

Answers

[tex]7a³ (8a² + a)²-4a³ \\ \\ 7 {a}^{3}(8 { {a}^{2} + a)(8 {a}^{2} + a )} - 4 {a}^{3} \\ \\ 7 {a}^{3} ( {8a}^{2} (8 {a}^{2} + a ) + a(8 {a}^{2} + a ) - 4 {a}^{3} \\ \\ 7 {a}^{3} (64 {a}^{4} + 8{a}^{3} + 8 {a}^{3} + {a}^{2} ) - 4 {a}^{3} \\ \\ 7 {a}^{3} (64 {a}^{4} + 16 {a}^{3} + {a}^{2} ) - 4 {a}^{3} \\ \\ 448 {a}^{7} + 112 {a}^{6} + 7 {a}^{5} - 4 {a}^{3} \\ \\ {a}^{3} (448 {a}^{4} + 112 {a}^{3} + 7 {a}^{2} - 4).[/tex]

A T-shirt that costs $12 is now on sale for 15% off. What is the sale price of the t-shirt?

Answers

Answer:

$14.18

Step-by-step explanation:

just multiply 12 with 100 for percentage and divide it by 85 because there was 15 percent off and you'll get the answer

Construct a regular hexagon inscribed in a circle. Please help.

Answers

Answer:

no lo sd

Step-by-step explanation:

solo se que is really

In what? desmos, drawing?

Select the correct answer from each drop-down menu. one person working alone will take 30 days to paint an apartment. if d represents the number of days taken to complete the work and p represents the number of people working, the equation that represents this situation is . if 10 people work on this job, they take days to complete it.

Answers

It took 3 days to complete a work by 10 people.

         

What is Efficiency?

The efficiency is the output of the work which we divide by the work input and then express it in a percentage form.

Here, Efficiency of 1 person to complete a piece of work in 30 days is 1/30.

The number of days to complete the work = n days

Number of person to complete the work = p.

Now, according to question

Number of days to complete the work by 10 people = 30 / 10

                                                                                      = 3 days.

Thus, it took 3 days to complete a work by 10 people.

                                                                                       

Learn more about Efficiency from:

https://brainly.com/question/13828557

#SPJ1

0123456 7 8 9 10 what is this called.........ence.fill in the missing space.​

Answers

Answer:

sequence

Step-by-step explanation:

a sequence is essentially a set [group/list] of numbers, and each number has a specific placement [meaning that there is an order]

hope this helps!!

Answer: this, a set of number in an order, is called a sequence

fill in the blank: sequence

Which equation can be simplified to find the inverse of y = 5x² + 10?
Ox=5y² + 10
O-5X+10
O-y=5x² + 10
1
O y = x² + 10

Answers

Answer:

[tex]x = 5y {}^{2} + 10[/tex]

The inverse of the function is x = 5y² + 10.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To find the inverse of a function, we need to solve for x in terms of y.

To do this, we can start by replacing y with x and solving for x.

y = 5x² + 10

x = 5y² + 10

Now we have solved for x in terms of y, which gives us the inverse of the original function.

So the equation that can be simplified to find the inverse of y = 5x² + 10 is:

x = 5y² + 10

Thus,

The inverse of the function is x = 5y² + 10.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ5

Someone help me with 4 pleaseeeeee

Answers

Answer:

C

Step-by-step explanation:

Use the equation [tex]a^2 + b^2 = c^2[/tex]

Input the numbers----> [tex](2865)^2 +(4550)^2=c^2[/tex]

Simplify ----> [tex]28910725=c^2[/tex]

Find the square root------->[tex]5376.9=c[/tex]

Use the expression 8a+16c
What is the value of the expression when a = –5 and c = –1?

Answers

Answer:

i think its 8(a+2c)

Step-by-step explanation:

The GCF or greatest common factor of 8 and 16 is 8.

8a+16c

8(a+2c)

Therefore the answer is 8(a+2c)

The number of DVDs in a random person's home collection is counted for a sample population of 80 people. The mean of the sample is 52 movies, the entire population is known to have a standard deviation of 12 movies. Assuming a 99% confidence level, find the margin of error.

A) 59.4671

B) 2.6296

C) 38.6536

D) 3.4547​

Answers

In a case whereby the number of DVDs in a random person's home collection is counted for a sample population of 80 people the mean of the sample is 52 movies, the entire population is known to have a standard deviation of 12 movies then the margin of error is 3.46 moves.

How can the the margin of error be calculated?

The concept that will be used here is the formular to find the error

E=z∝/2 σ/√ n

n= number of the samples= 80

σ = standard deviation = 12 moves

confidence level = (1-∝) = (1- 0.99) = 0.001

σ/2 = 0.005

Then the looking up for Z value of Z(0.005) = 2.58

E= 2.58 *12/√80

= 3.46 moves.

Therefore, option D is correct.

Learn more about standard deviation at:

https://brainly.com/question/24298037

#SPJ1

What division problem does this area model represent?

Enter your answer in the boxes.

÷ 75 =
R
Rectangle with left side labeled 75. Vertical lines divide the rectangle into three parts. The left part has 40 above it and 3000 inside it. The middle part has 4 above it and 300 inside it. The right part has 53 inside it and nothing above it.

Answers

The division problem that's illustrated based on the information is 3000/75 = 40 without remainder.

How to calculate the rectangle?

A rectangle is defined as a two-dimensional shape having four-sided and opposite sides equal and parallel.

From the information, it was stated that the rectangle with left side labelled 75 and the middle part has 4 above it and 300 inside it.

Therefore, the division problem that's illustrated based on the information is 3000/75 = 40 without remainder.

Learn more about rectangles on:

brainly.com/question/25292087

#SPJ1

What is the point slope form of an equation of the line through the points (-2, 6) and (3, -2)

Answers

-2-6 = -8/5 (3- -2)

first off, it’s important to know that the formula for point slope form is y-y1=m(x-x1). since you already have both points, you can plug them into the equation to get -2-6=m(3- -2). Next, you must find the slope by using the formula y2-y1/x2-x1. Plug the points in to get -2-6/3–2. Simplify to -8/5, and that’s your slope. Put the slope into the equation to get your final answer of -2-6 = -8/5 (3- -2). Hope this helped!!

Hey I need help on this question. Could I have a simple explaination as I find it difficult to understand things

Answers

Answer:

9

Step-by-step explanation:

The surface, in this case, describes the number of squares that are painted. On the left hand side, we have a cube, so we know we're going to have 6 faces. And each face on the cube has 9 little squares, they can be counted on the diagram. So, the total number of squares that are painted on the left cube = [tex]9 * 6 = 54[/tex]

The star means multiplication.

We are told in the question that it takes 9 litres of paint to cover the surface of the left hand cube, meaning it takes 9 litres of paint to cover 54 squares.

This can be written in the ratio = [tex]9:54[/tex]

If we divide both sides of the ratio by 9, we can figure out the amount of squares that 1 litre of paint covers, [tex]1:6[/tex].

The ratio tells us that 1 litre of paint covers 6 squares.

Let's look at the shape on the right. It is still a cube, however, some segments have been removed. Some faces still remain the same as in the shape on the left, such as the bottom face, the back face and the face to the left. Those faces may not be so apparent on the diagram, however, they exist. So we have to count them.

The number of small squares on these faces = [tex]9 * 3=27[/tex]

If you look on the inside of the cube, which can be seen on the diagram, we can see three faces, each having four squares. So, the total number of squares here = [tex]3*4=12[/tex]

Also, we have some squares on the top, and if you count these, there are 5.

This also applies for the front and the right hand side if you count, so we add 10 squares to the total as there are another two lots of five.

So, the total number of squares on the right cube = [tex]27 + 12 + 5 + 5 + 5 = 54[/tex]

Let's bring back the ratio of litres of paint to the number of squares covered: [tex]1:6[/tex]

In the ratio, there are 6 squares per litre. We know that 6 × 9 = 54 (our total). So, we multiply left hand side of the ratio by 9 as well, bringing the total amount of paint required to 9 litres.

I hope this helps.

The surface area of cuboid = [tex]$400 \mathrm{~cm}^{2}$[/tex].

How to estimate the surface area of cuboid?

If the left cube takes 9 liters of paint to cover the surface. Then, also right cube takes 9 liters of paint to cover the surface.

Cuboid dimension [tex]$\frac{10 \mathrm{~cm}}{(l)} \times \frac{10 \mathrm{~cm}}{(b)} \times\frac{5 \mathrm{~cm}}{(h)}$[/tex]

Surface area = 2(lb + lh + bh)

= 2((10 [tex]\times[/tex] 10)+(10 [tex]\times[/tex] 5)+(10 [tex]\times[/tex] 5))

= 2(100+50+50)

= [tex]400 \mathrm{~cm}^{2}[/tex]

Therefore, surface area of cuboid = [tex]$400 \mathrm{~cm}^{2}$[/tex].

To learn more about surface area of cuboid

https://brainly.com/question/26403859

#SPJ2  

The area of a square is 256cm2. When each side of the square is increased by x cm, its area becomes 324 cm2.Find the value of x.

Answers

Answer: x = 2

Step-by-step explanation:

First, let's take the root of 256 to find the length of each side before the addition of x.

[tex]\sqrt{256} = 16[/tex]

This means 16 cm is the length of each side before the addition of x.

Then increase each side by X to get

[tex](16 + x)(16 + x) = 324[/tex]

[tex]256 + 16x + 16x + x^2=324[/tex]

[tex]x^2+32x -68=0[/tex]

[tex]x=2[/tex]  or   [tex]x=-34[/tex]

The value cannot be negative so x has to be 2

Find the highest common factor [HCF] of 10 and 17

Answers

Answer

Step by step explanation

1 is the answer for this question

-19+[27-(14+(5-2)×4÷2))]
simplify ​

Answers

Answer:

-12

Step-by-step explanation:

25.
A ladder stands against a wall at an angle of 45° to the floor. The foot of the ladder is 3 m
from the wall. If the ladder slides 1 m down the wall, then the angle between the ladder
and the floor is such that:

Answers

Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

The angle is of 45º.The vertical distance is the height of h.The horizontal distance is of 3m.

Hence:

tan(45º) = h/3.

1 = h/3.

h = 3 m.

If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:

[tex]\tan{\theta} = \frac{2}{3}[/tex]

[tex]\theta = \arctan{\left(\frac{2}{3}\right)}[/tex]

[tex]\theta = 33.69^\circ[/tex]

More can be learned about the slope concept at https://brainly.com/question/18090623

#SPJ1

Other Questions
Select the pair of homonyms that is more suitable in this sentenceThe Constructor could not _____ the offer made by the President, but secretly did not want to deal with the huge amount of _____ made from such a large dirt production.refuse, refuse lead, lead object, objectdesert, desert The belief in Manifest Destiny caused many Americans to support:A. ending private ownership of land in the United States.B. rapid expansion of U.S. territory in North America.C. replacing democratic governments with religious institutions.D. treaties that protected American Indians' rights. Find the numeral preceding and succeeding each of the following numerals. Use T as the digit for 10.a. TTO elevenb. 100000 ninec. 222 three Help I have no idea to do this!! Im stuck! Trina sells dolls and accessories, and doesn't have much time to update her Search campaigns with her ever-changing inventory. How can Dynamic Search Ads help Trina A group of historians are doing research on the causes and effects of the Great Depression in the United States. Each record can be used by a historian who is interested in studying a particular type of cause and effect in the history of that era. Match the records with the correct categories Their victory depended on the __________ leader Odysseus.a. unparalleledb. unconquerable What is the volume of 0.24 mol oxygen (02) gas at 345 k and a pressure of 0.75 The Munich Pact did which of thefollowing?A. Hitler was given all the country of Czechoslovakia.B. Hitler was punished for invading Austria.C. Hitler was given the Sudetenland. Compltez avec le pronom rflchi correct (me [m], te [t], etc.).Est-ce que tu___maquilles tous les jours?Elle ___ couche normalement 23 h? Migdalia is a consultant. She works 3 days a week in the company's headquarters and 2week at a production site.When she works at the company headquarters, she takes a busfrom work. When she goes to production sites, she uses her car and travels 52 mscast for using the bus is $48.00 for 10 one-way trips. The cost of using her car she30 per mile Migdalia budgets $50 per week for travel expenses to and from work whether or not she has set aside enough money. y=-6x-8y=-6x+8Solve the system of linear equations Which equation is equivalent to the given equation?-4(X - 5) + 8x = 9x - 3 The commented line states that I have assigned a 2D array to a pointer but I want array of such pointers which could store numbers of 2D Array. Which option is the clearest example of pathos in media?A. Playing the sounds of someone cryingO B. Interviewing an engineering expertO C. Pointing out flaws in a debater's logicOD. Quoting a professor at Harvard University This is all the questions I need answers to:A two-digit locker combination has two non-zero digits and no two digits are the same. Event A is defined as choosing an even digit for the first number, and event B is defined as choosing an odd digit for the second number.If a combination is picked at random, with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form? A. 4/9 B. 1/2 C. 5/9 D. 5/8A locker combination consists of two non-zero digits, and each combination consists of different digits. Event A is defined as choosing an even number as the first digit, and event B is defined as choosing an even number as the second digit.If a combination is picked at random, with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form? A. 1/6 B. 5/18 C. 1/2 D. 5/9A jar contains 5 red marbles and 8 white marbles.Event A = drawing a white marble on the first drawEvent B = drawing a red marble on the second drawIf two marbles are drawn from the jar, one after the other without replacement, what is P(A and B) expressed in simplest form? A. 3/13 B. 10/39 C. 5/12 D. 8/13A bag contains 5 blue marbles, 8 green marbles, 4 red marbles, and 3 yellow marbles.Event A = drawing a green marble on the first drawEvent B = drawing a blue marble on the second drawIf Jasmine draws two marbles from the bag, one after the other and doesnt replace them, what is P(B|A) expressed in simplest form? A. 2/19 B. 1/6 C. 4/19 D. 5/19A jar contains 3 pink balls, 6 blue balls, and 3 red balls.Event A = drawing a red ball on the first drawEvent B = drawing a pink ball on the second drawIf two balls are drawn from the jar, one after the other without replacement, what is P(A and B) expressed in simplest form? A. 3/44 B. 4/9 C. 3/11 D. 1/4House numbers along a street consist of two-digit numbers. Each house number is made up of non-zero digits, and no digit in a house number is repeated.Event A is defined as choosing 8 as the first digit, and event B is defined as choosing a number less than 6 as the second digit.If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in simplest form? A. 1/9 B. 5/72 C. 5/8 D. 2/3House numbers along a street consist of two-digit numbers. Each house number is made up of non-zero digits, and no digit in a house number is repeated.Event A is defined as choosing 8 as the first digit, and event B is defined as choosing a number less than 6 as the second digit.If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in simplest form? A. 2/7 B. 5/14 C. 5/13 D. 6/13A two-digit locker combination is made up of two non-zero digits. Digits in a combination are not repeated and range from 3 through 8.Event A = choosing an odd number for the first digitEvent B = choosing an odd number for the second digitIf a combination is chosen at random, with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form? A. 1/5 B. 3/14 C. 5/18 D. 2/5A locker combination consists of two non-zero digits. The digits in a combination are not repeated and range from 2 through 9.Event A = the first digit is an odd numberEvent B = the second digit is an odd numberIf a combination is picked at random with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form? A. 3/8 B. 3/7 C. 1/2 D. 4/7There are 15 tiles in a bag. Of these, 7 are purple, 5 are black and the rest are white.Event A = drawing a white tile on the first drawEvent B = drawing a purple tile on the second drawIf two tiles are drawn from the bag one after the other and not replaced, what is P(B|A) expressed in simplest form? A. 1/5 B. 1/3 C. 7/15 D. 1/2I know theres a lot here but please hurry :) thx 100 points to the first person to answer all correctly! thx :) Read the excerpt from act 3 of A Dolls House.Helmer [reeling]: True? Is this true, that I read here? Horrible! No, noit is impossible that it can be true.Nora: It is true. I have loved you above everything else in the world.Helmer: Oh, don't let us have any silly excuses.Nora [taking a step towards him]: Torvald!Helmer: Miserable creaturewhat have you done?Nora: Let me go. You shall not suffer for my sake. You shall not take it upon yourself.Helmer: No tragic airs, please. [Locks the hall door.] Here you shall stay and give me an explanation. Do you understand what you have done? Answer me! Do you understand what you have done?What evidence from the passage best supports the theme that one's true nature is revealed in times of distress?True? Is this true, that I read here?No, noit is impossible that it can be true.Miserable creaturewhat have you done?Here you shall stay and give me an explanation. A line / passes through point (-2, 5) and has the same y-intercept asthe line y-3x-4. What is the equation for the line /? The loss of personal control is most likely to be accompanied by elevated levels of: Find the y-intercept.(2x + 1)(x + 7).(x + 3)(x + 4)y =([?],all three would be pretty nice