how to graph a parent function and describe the transformations it obtains?

How To Graph A Parent Function And Describe The Transformations It Obtains?

Answers

Answer 1

The graph of the function f(x) = -2|x-3|+1 is attached below.

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given:

f(x) = -2|x-3|+1

First |x-3| shows there is horizontal shift by 3 units.

Now, '+1' shows there is Vertical shift by 1 unit.

and, 2|x-3| shows there is Vertical stretch and the negative sign shows reflection over x- axis.

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How To Graph A Parent Function And Describe The Transformations It Obtains?

Related Questions

In the cube $ABCDEFGH$ with opposite vertices $C$ and $E$, $J$ and $I$ are the midpoints of edges $\overline{FB}$ and $\overline{HD}$, respectively. Let $R$ be the ratio of the area of the cross-section $EJCI$ to the area of one of the faces of the cube. What is $R^2$
(A) $\frac{5}{4}$ (B) $ \frac{4}{3} $ (C) $ \frac{3}{2} $ (D) $ \frac{25}{16}$ (E) $\frac{9}{4}$.

Answers

The value of R² is 3/2

What are solids ?

A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.

We can see that EJCI is a rhombus and

Area of rhombus is given by

Area of rhombus  = Lenth of one diagonal * length of another dialonal / 2

Thus,

EC = (a^2 + a^2 + a^2)^0.5

=> EC = a * (3)^0.5

JI = (a^2 + a^2 )^0.5

=> JI = a * (2)^0.5

So,  the area of EJCI = EC * JI / 2

=> Area = (1/2) * (a^2)  * (6)^0.5

Area of face = a^2

R = [ (1/2) * (a^2)  * (6)^0.5] / a^2

=> R = 1/2 * 6^0.5

So, the required R² is

R^2 = (1/4) * 6

=> R^2 = 3/2

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Is there an AAA similarity?

Answers

The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that "If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or percentage) and consequently the two triangles are similar".

A triangle is a closed two-dimensional shape or polygon with the fewest sides in mathematics. A triangle is made up of three sides and three angles. The most significant attribute of a triangle is that the sum of its internal angles equals 180°.

Conditions for Triangle Similarity

If the corresponding angles of two triangles are identical, they are said to be comparable triangles.

If their respective sides have the same proportion/ratio.

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CAN SOMEONE PLS HELP WITH THIS QUESTION ILL GIVE 20 POINTS​

Answers

To fix their problem, a consumer is requesting a phone call,... I'll get a notification as soon as you respond.

How high is the ball after one second?

The ball's height is 86 feet after one second. h=176t-16t2 calculates the height of a ball in feet after t seconds.

How much time did the ball take to hit the ground When the ball lands, its height (h) is 0 feet. You launch a ball into the air with an initial vertical velocity of 32 feet per second while standing at a height of 5 feet.

Calculate the maximum height of the ball using the vertical motion model, which is h = -16t2 + vt + s, where v is the initial velocity in feet/second and s is the height in feet.

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Helpppp pleaseeeeeeeee

Answers

Answer:

Step-by-step explanation:

How do you solve a 5 =- 5a 5?

Answers

The value of a is zero.

Now, According to the question:

The given equation is:

a + 5 = -5a + 5

To solve the above equation:

Subtract 5 on both sides

a + 5 - 5 = -5a + 5 - 5

a = -5a

Add 5a on both sides:

6a = 0

Divide both sides by 6

a = 0

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The complete question is this:

How do you solve a + 5 = -5a + 5

Andre saves up the same amount of money each week the table shows the amount he saves in different number of weeeks how much money does Andre save in 4p weeks

Answers

The amount of money saved by Andre in 40 weeks is $1280.

What is equation modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is Andre saves up the same amount of money each week.

We can write the equation, equating the total amount of money saved and the number of weeks as follows. Assume the equation to be -

y = mx + c

Then -

m = (288 - 224)/(9 - 7)

m = 64/2

m = 32

Now -

y = 32x + c

For the point (7, 224), we can write -

224 = 32 x 7 + c

c = 0

For {x} = 48, we can write the amount of money saved as -

y = 32 x 40

y = 1280

Therefore, the amount of money saved by Andre in 40 weeks is $1280.

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What are the zeroes of the function?

Answers

Correct option is B, The three zeros are 2, 3, -3.

The zeros of a function are the values of its variables that meet the equation and result in the function's value being equal to 0. The zeros of a function can be represented graphically as the x-coordinates (or x-intercepts) where the graph intersects the x-axis.

If a number's unit digit or end indicates a zero, it is a multiple of 10 and so divisible by 10. As a result, the amount of zeros at the end of every number determines how many times it may be raised to the power of 10.

y= (x-2)(x-3)(x+3)

The zeros of the above function are -

x = 2

x = 3

x = -3

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a farm house has 11 animals some are goats and some are ducks there are 34 legs all together how many ducks and goats

Answers

There are 11 animals on a farm, some of which are goats, while others are ducks. The total number of legs on the ducks and goats is 34.

Explain about the Expression?

An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and an arithmetic operation between them. For instance, the word m in the given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the expression 4m + 5.

In mathematics, an expression is referred to as an algebraic expression if it contains variables, constants, and algebraic operations (addition, subtraction, etc.). Expressions are made up of multiple terms.

Functions, variables, and numbers make up an expression (such as addition, subtraction, multiplication or division etc.) It is possible to contrast phrases and expressions.

There are 11 animals, and they have a combined total of 34 legs.

Set G and D to the number of goats and ducks, respectively.

Consequently, G = 11 - D when G + D = 11, and vice versa.

therefore 4G + 2D = 34

Using the value as a stand-in for G, we obtain 4(11 - D) + 2D = 34.

By expanding, we have 34 - 44 - 4 + 2D.

The answer is D = 5. Thus, G equals 6.

Proof (5 x 2) plus (6 x 4) equals 34.

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A plumber charges a flat fee of $73 to visit a home and examine a clogged drain. The plumber charges an additional $25 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes h hours is given by the following. C=25h+73 (a) What is the total cost for fixing a drain that takes 5 hours? (b) If the plumber charged a total of $398, how many hours did he spend fixing the drain?​

Answers

Answer:

a.  The total cost of fixing the drain is $198

b. The plumber spend 13 hours fixing the drain

Step-by-step explanation:

We know the equation is

C=25h+73

C = the total cost

h = the number of hours

Let's solve question a by putting 5 in for h

C=25(5)+73

C = 125 + 73

C = $198

So, the total cost of fixing the drain is $198

Let's solve question b by butting 398 in for c

398=25h+73

325 = 25h

h = 13 hours

So, the plumber spend 13 hours fixing the drain

If you can, please give me a Brainliest; thank you!

What is the length of the hypotenuse of a 45 45 90 triangle with a leg of 12?

Answers

It is given that a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as 12/√2

since the hypotenuse is one of the legs multiplied by √2.

dividing the hypotenuse by √2 will get the length of one leg. since it is a 45 45 90 triangle, the length of the two legs are the same.

It is given that  a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as:

By using the Pythagoras theorem, we have

a^2+b^2= c^2

Substituting the given values, we have

12/√2

Thus, the length of the hypotenuse will be

12/√2

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In a survey of 170 girls, it was found that 18 girls
can neither dance nor can sing, 96 can dance and
69 can sing. By representing these information in
a Venn-diagram, find the number of girls who
both dance and sing.
Ans: 13

Answers

Answer:9

Step-by-step explanation:beacuse if you take 6 by 9 and 10 it will make 2 of 69

HELP!! Find the inverse of the matrix…

Answers

Answer:

the answer is b

HELPPPPPP PLEASEeeeeeeeeeeeeee

Answers

Answer:

1/2

Step-by-step explanation:

-3x+5x-2>-4x+1

first, you will combine like terms. -3x+5x=2x.

2x-2>-4x+1

you need to move the variable to one side. So you will add 4x on both sides.

6x-2>1

You need to add 2.

6x>3.

Now you will divide both sides by 6 to get x by itself.

x> .5 or 1/2

pls barinliest

The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes, on Monday the baker makes 36 blueberry muffin what is the total number of muffins that the baker makes on Monday.

Answers

Answer:

90

Step-by-step explanation:

40% is for 36

(100*36)/40

The shelf life of a dairy product is normally distributed with a mean of 5 days and a standard deviation of 4 days. What is the probability that the product has a shelf life of at least 1 week and at most 2 weeks

Answers

The probability that the product will last for at least 1 wee and at most 2 week is 0.30.

What does the probability rule for products mean?

This independent transmission of characteristics phenomenon can be explained by the product rule of probability. It claims that multiplying the odds of each event occurring alone will yield the probability of two independent events occurring together.

How do you calculate a product's probability?

P(E F) = P(E) P(F) is the product rule, where E and F are independent events. Explain that independence means that the likelihood of one event occurring has no bearing on the likelihood of the other.

The probability that the product will last for at least 1 wee and at most 2 week is 0.30.

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How to solve and answer?

Answers

Answer:

I believe the answer is 3

Step-by-step explanation:

because NO and KL are parallel, they have the same length which is 3 as given in the question description. We also know that KL and NM have the same length. Therefore, NM is also 3.

What type of graph is an inverse relationship?

Answers

On a graph, an inverse relationship always has a negative slope.

What is an inverse relationship?

In statistics, if higher values of one variable tend to be related to lower values of the other, there is a negative association or inverse relationship between the two variables.

A negative link between two variables typically denotes a negative correlation, or what is similar in some cases, a negative slope on the associated graph.

Anticorrelation or inverse correlation are other terms for a negative correlation between two variables.

When two variables change in an inverse relationship, they do so in opposite directions: one increases while the other drops, and vice versa.

Y declines as X rises in an inverse relationship.

An inverse relationship always has a negative slope on a graph.

Therefore, on a graph, an inverse relationship always has a negative slope.

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Using the five digits 7, 7, 8, 8, and 8 once each, how many positive five-digit integers can be formed?

Answers

Answer:

There are 5 choices for the first digit, 5 choices for the second digit, 4 choices for the third digit, 3 choices for the fourth digit, and 2 choices for the fifth digit.

The cost of 3 cheese sandwiches and 2 bottles of water is £7. 80. The cost of 5 cheese sandwiches and 4 bottles of water is £14. 20. What is the cost of: (a) one cheese sandwich? (b) one bottle of water?

Answers

One cheese sandwich costs $1.4 and one bottle of water costs $1.8.

What is equation?

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Let x be the cost of cheese sandwiches and y be the cost of one bottle of water.

3x+2y=7.8

5x+4y=14.2

(3x+2y=7.8)*2

6x+4y=15.6

5x+4y=14.2

x=$1.4

y=$1.8

The cost of one cheese sandwich is $1.4 and that of one bottle of water is $1.8.

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How do I find prime factorization?

Answers

Answer:

One way is to make a factor tree. She below for examples.

Step-by-step explanation:

Answer:

You basically just count jumps of that number

Solve this problem
Step by step


Answers

The measure of the missing length of the trapezoid is equal to 3√39 units.

How to determine the missing length of a trapezoid

Trapezoids are quadrilaterals with only one pair of congruent sides and two pairs of congruent angles. The relationship between the longest and shortest legs (D, d) in a trapezoid is defined below:

D = d + 2 · c

Where c is the length of the horizontal leg of the right triangle in a trapezoid.

And the missing leg can be found by means of Pythagorean theorem:

x = √(r² - c²)

Where:

r - Hypotenusec - Shortest legx - Longest leg

First, determine the length of shortest leg: (D = 40, d = 26)

40 = 26 + 2 · c

14 = 2 · c

c = 7

Second, find the longest leg by Pythagorean theorem:

x = √(20² - 7²)

x = 3√39

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Create a word problem for 4 x 8 = ?
and solve it using a bar model?

Answers

Answer:

Jackie has been assigned to hand out papers to all the students in her class. Each student gets 4 pieces of paper, and there are 8 total students. How many papers total does Jackie need to get?

(I cannot show a picture of a bar model, apologies)

Today in class, we did calculations with decimals. Reflect on how you made these calculations:

How did we compute products of dollar amounts that were not whole numbers?

For example, how would you compute the product of 3 student tickets at $4. 25 per ticket?

Use this example to explain your strategy.

Answers

As per the decimal number system, the cost of 25 tickets is $32.5

The term decimal in math is defined as the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.

Here we have given that the product of 3 student tickets at $4.

Here we have know that the ticket cost for 3 students is $4.

Then the cost of one person is calculated by dividing the cost by the number of students then we get,

=> 4/3

=> 1.3

So, if the cost for one person or ticket is $1.3 then the cost of 25 tickets is calculated as,

=> 25 x 1.3

=> 32.5

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Write 63 521. 769 correct to the nearest hundred

Answers

63 100 521 500 769 800

Select all the pairs of operations that have inverse relationships.

Answers

The pair of operations having an inverse relationship are,

Addition and Subtraction, Division and Multiplication.

What are additive and multiplicative inverses?

A number's additive inverse is a number that is added to it until the result is zero.

A number multiplied by another such that the result is 1 is the multiplicative inverse of that number.

Addition and subtraction are inverse operations of each other.

Suppose we have 5 and we add 3 to it we get 8.

Now, Subtracting 3 from 8 would result in 5.

Multiplication and division are inverse operations of each other.

Suppose we have 10 and we multiply 2 to it we get 20, Now if we divide 20 by 2 we get back 10 again.

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Write two expressions for the perimeter of a square explain what information is in one of your expression that is not in the other

Answers

The expression for the perimeter of a square will be p = 4s.

How to calculate the perimeter?

The perimeter of a figure of shape can be gotten the total length of the boundary which the figure or the shape has. it's gotten by adding all the length that the shape has.

It should be noted that a square has four equals sides. The expressions for the perimeter of a square will be:

p = 4 × s.

p = 4s

where s = number of sides.

p = perimeter

For example if the side is 2cm. The perimeter will be calculated by multiplying 4 by the value of the sides. In this case, this will be calculated as:

= Value of sides × 4

= 2 × 4

= 8cm

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caleb earned 15 dollars on monday and 25 dollars on saturday when he raked his neighbors yard. on sunday he gave 10 percent in the offering at church. how much did he give away.

Answers

15 + 25 = 40

10% of 40 = 4

Therefore, Caleb gave $4 to the church!

Hope this helps :D

Your friend has read 6 more than twice as many pages as your
sister has read. Let 4
be the number of pages that your sister has
read. Write an expression for the number of pages that your friend
has read

Answers

Answer:

Expression: 2s + 6

# of Pages Friend Read: 14 pages

Step-by-step explanation:

Let's call the number of pages your sister has read, s, and the number of pages your friend has read, f. We will make our equation first. If your friend has read 6 more than twice as many pages as your sister has, your equation would look like this:

f = 2s + 6

That is your equation for how many pages your friend read, your expression would be just 2s + 6. Now, we will substitute in 4 for s, and we get:

f = 2 * 4 + 6

Multiplying gives:

f = 8 + 6 = 14

So your friend has read 14 pages.

Hope this helped!

A bird flew from the ground onto a tree branch 5 feet above the ground.What could the bird do next that would make this situation a model of combining a number and its additive inverse

Answers

We are given that A bird flew from the ground onto a tree branch 5 feet above the ground.

We are supposed to find What could the bird do next that would make this situation a model of combining a number and its additive inverse

Additive inverse - What you add to a number to get zero is additive inverse.

The negative of a number.

Now we are told  What could the bird do next that would make this situation a model of combining a number and its additive inverse

Since it already flew 5 feet above the ground .

Additive inverse of 5 feet is -5 feet

So, to make the situation of combining a number and its additive inverse

Bird has to flew 5 feet return to the ground i.e.-5 feet

So, a model of combining a number and its additive inverse = 5+(-5)

= 0.

Fly down 5 feet and return to the ground.

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Answer:

Fly down 5 feet and return to the ground.

Step-by-step explanation:

have a nice day.

A pet store has 15 puppies, 6 kittens, and 8 hamsters. Alice, Bob, and Charlie each want to buy a pet. For variety, they each want a different kind of pet. How many ways can Alice, Bob, and Charlie buy pets and leave the store satisfied

Answers

There are 24 ways for Alice, Bob, and Charlie to buy pets and leave the store satisfied. They could each buy a puppy, a kitten, and a hamster, or they could each buy a different combination of the three types of pets.

How many different pet options can Alice, Bob, and Charlie choose from before feeling satisfied?Alice, Bob, and Charlie can leave the pet store satisfied in 12 different ways.This can be shown using a combination equation, where n = the number of items (in this case, pets) and r = the number of selections (in this case, 3): C(n,r) = n! / (r! × (n - r)!). In this equation, n = 29 (15 puppies + 6 kittens + 8 hamsters) and r = 3 because Alice, Bob, and Charlie each have to select one pet.When plugging these numbers into the equation, the result is C(29,3) = 29! / (3! × (29 - 3)!) = 29! / (3! × 26!) = 8649 / 514880 = 12 different ways. Alice, Bob, and Charlie can each select a puppy, a kitten, and a hamster and leave the store satisfied in 12 different ways.Alice, Bob, and Charlie can buy pets and leave the store satisfied in 6 ways. Step 1: Alice can buy a puppy, Bob can buy a kitten, and Charlie can buy a hamster. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 2: Alice can buy a kitten, Bob can buy a hamster, and Charlie can buy a puppy. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 3: Alice can buy a hamster, Bob can buy a puppy, and Charlie can buy a kitten. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 4: Alice can buy a puppy, Bob can buy a hamster, and Charlie can buy a kitten. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 5: Alice can buy a kitten, Bob can buy a puppy, and Charlie can buy a hamster. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 6: Alice can buy a hamster, Bob can buy a kitten, and Charlie can buy a puppy. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. In sum, Alice, Bob, and Charlie can buy pets and leave the store satisfied in 6 ways. Each person can buy a different kind of pet and the store will still have the same number of pets afterwards.

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For example, this is the maze we saw in the previous question:((1, 1, 1, 1, 1, 1, 1, 1, 0, 1), (1, 0, 0, 1, 1, 1, 0, 0, 1, 1), (0, 1, 1, 1, 0, 0, 1, 1, 1, 0), (1, 1, 0, 1, 1, 1, 1, 0, 1, 1), (0, 1, 0, 1, 0, 0, 1, 0, 1, 0), (1, 0, 1, 1, 1, 1, 0, 1, 1, 1), (0, 1, 1, 1, 1, 1, 1, 1, 1, 0), (1, 0, 1, 0, 0, 1, 1, 0, 1, 1), (1, 0, 1, 1, 1, 0, 1, 0, 1, 0), (1, 1, 0, 1, 0, 1, 0, 1, 1, 1))Note: You should be using dynamic programming to pass time limitation test.Hint: You might find the following algorithm useful:Initialize an empty table (dictionary), get the number of rows n and number of columns m.Fill in the first row. For j in range m:2.1 If maze[0][j] is safe, set table[(0, j)] to be 1 because there's one way to go there.2.2 If maze[0][j] has a bomb, set table[(0, k)] where k >= j to be 0. Since one cell is broken along the way, all following cells (in the first row) cannot be reached.Fill in the first column. For i in range n:3.1 If maze[i][0] is safe, set table[(i, 0)] to be 1 because there's one way to go there.3.2 If maze[i][0] has a bomb, set table[(i, 0)] and all cells under it to be 0. The reason is same as for the first row.Main dynamic programming procedure - fill in the rest of the table. If maze[i][j] has a bomb, set table[(i, j)] = 0.Otherwise, table[(i, j)] = table[(i - 1, j)] + table[(i, j - 1)]Return table[(n - 1, m - 1)]Incomplete code:def num_of_paths(maze): # your code here# Do NOT modifymaze1 = ((1, 1, 1, 1, 1, 1, 1, 1, 0, 1), (1, 0, 0, 1, 1, 1, 0, 0, 1, 1), (0, 1, 1, 1, 0, 0, 1, 1, 1, 0), (1, 1, 0, 1, 1, 1, 1, 0, 1, 1), (0, 1, 0, 1, 0, 0, 1, 0, 1, 0), (1, 0, 1, 1, 1, 1, 0, 1, 1, 1), (1, 1, 0, 1, 0, 1, 0, 0, 1, 1), (0, 1, 1, 1, 1, 1, 1, 1, 1, 0), (1, 0, 1, 0, 0, 1, 1, 0, 1, 1), (1, 0, 1, 1, 1, 0, 1, 0, 1, 0), (1, 1, 0, 1, 0, 1, 0, 1, 1, 1))maze2 = ((1, 1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1, 1))maze3 = ((1, 0, 1, 1), (1, 0, 1, 1), (1, 0, 1, 1), (1, 0, 1, 1), (1, 0, 1, 0), (1, 0, 0, 1))Test Cases:num_of_paths(maze1) 2 num_of_paths(maze2) 3003 num_of_paths(maze3) 0 When fungal buds remain attached in a row following cell division, the resulting chains of yeast cells are called ______ Before Donald Trump lost New York in 2016, who was the most recent President to not win their home state by affiliation in a Presidential Election Think about the title Black Sunday: The Storm That Gave Us the Dust Bowl. Why are Black Sunday and Dust Bowl both considered to be compound words?A. They both are open compounds that have not yet been modernized.B. They both consist of an adjective that is joined to a noun.C. They both create a new word by combining the meanings of two separate words.D. They both are vivid ways of describing a life-changing event from the past. I need to factor completely to get an answer for r+3r-28I need to get factors in parenthesis like (r +/- #) (r +/- #)I need it before tomorrow Discrete MathematicsFor each language L1 to L5, described below, you need to do the following: Create a regular expression that defines the language accurately. The alphabet A = {a, b} will be used. The languages are:1. L1 which has exactly one a but any number of bs.2. L2 which has an odd number of as and an even number of bs.3. L3 which contains exactly two as or exactly two bs, although not necessarily adjacent.4. L4 which has all the bs appearing before any of the as, or all the as appearing before any of the bs.5. L5 where there can be any number of as but the number of bs must be even, although the bs do not have to be adjacent.