Factories completely 2x * (2x + 1) ^ 2 + (2x + 1)(4x ^ 2 - 3)

Answers

Answer 1

The factored form of the polynomial is (x - 0.556) · (x + 0.528 - i 0.242) · (x + 0.528 + i 0.242).

How to factor an algebraic equation

In this question we have an algebraic expression to be expanded by means of algebraic properties, the purpose of this handling is to modify the polynomial until its standard form is finally obtained and later we find its factor form by Cardano's method. Now we proceed to show the procedure in detail:

2 · x · (2 · x + 1)² + (2 · x + 1) · (4 · x² - 3)     Given

2 · x · (4 · x² + 4 · x + 1) + (2 · x + 1) · (4 · x²) + (2 · x + 1) · (- 3)      Perfect square trinomial/Distributive property

8 · x³ + 4 · x² + 2 · x + 8 · x³ + 4 · x² - 6 · x - 3     Distributive property/(- 1) · a = - a

16 · x³ + 8 · x² - 4 · x - 3     Distributive property/Definitions of addition and subtraction

(x - 0.556) · (x + 0.528 - i 0.242) · (x + 0.528 + i 0.242)      Cardano's method/Result

The factored form of the polynomial is (x - 0.556) · (x + 0.528 - i 0.242) · (x + 0.528 + i 0.242).

To learn more on polynomials: https://brainly.com/question/11536910

#SPJ1


Related Questions

i need the answer for this asap Please!

Answers

The system of inequalities for the graph is

a) y < 3x - 4

b) y = x + 3

Given data ,

Let the inequality equations be represented as A and B

where

Let the first point be P ( 0 , 3 )

Let the second point be Q ( -3 , 0 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 3 - 0 ) / ( 0 + 3 )

m = 1

Now , equation of line is y - y₁ = m ( x - x₁ )

y - 0 = 1 ( x + 3 )

y = x + 3

And , the second equation is

Let the first point be R ( 0 , -4 )

Let the second point be S ( 2 , 2 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( -4 - 2 ) / ( 0 - 2 )

m = -6/-2

m = 3

Now , equation of line is y - y₁ = m ( x - x₁ )

y - 2 = 3 ( x - 2 )

Adding 2 on both sides , we get

y = 3x - 4

Since , it is a dotted line ,

y < 3x - 4

And , the solution to the inequality is point of intersection

where A ( 3.5 , 6.5 ) is the solution

Hence , the inequality equations are solved and A ( 3.5 , 6.5 ) is the solution

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ1

A natural food company produces and sells organic almond milk for $9.00 per gallon. This company
estimates its fixed costs to be 1121 dollars per month and the variable cost to produce each gallon of
almond milk is $7.50.
What is the margin of profit if 1494 gallons of almond milk are produced and sold each month?
A Select an answer of $

Answers

Okay, here are the steps to solve this problem:

Fixed costs per month: $1121

Variable cost per gallon: $7.50

Selling price per gallon: $9.00

Monthly sales (gallons): 1494

Cost of goods sold = Variable cost per gallon * Monthly sales

= $7.50 * 1494 gallons

= $11,105

Gross margin = Revenue - Cost of goods sold

= $9 * 1494 gallons

= $13,446

- $11,105 (Cost of goods sold)

= $2,341

Margin of profit = Gross margin - Fixed costs

= $2,341 - $1121

= $1,220

So the margin of profit if 1494 gallons are produced and sold each month is $1,220.

The answer is:

B $1,220

Find the 15th term of the geometric sequence 2,6,18,...

Answers

Answer:

In a geometric sequence, each term is found by multiplying the previous term by a constant value called the common ratio (r).

In this case, the first term (a₁) is 2, and the common ratio (r) can be found by dividing any term by its preceding term. Let's calculate it:

r = 6 / 2 = 3

Now, to find the 15th term (a₅₊₁₋₅), we can use the formula:

aₙ = a₁ * r^(n-1)

Substituting the values, we have:

a₁ = 2

r = 3

n = 15

a₁₅ = 2 * 3^(15-1)

Calculating the exponent first:

3^(15-1) = 3^14 = 4782969

Now, substituting this value back into the formula:

a₁₅ = 2 * 4782969

a₁₅ = 9565938

Therefore, the 15th term of the geometric sequence 2, 6, 18, ... is 9565938.

Step-by-step explanation:

A student has scores of 63, 65, and 73 on his first three tests. He needs an average of at least 70 to earn a grade of C in the class.

What is the minimum score that the student needs on the fourth test to ensure a C?

Answers

Answer: 79

Step-by-step explanation:

63+65+73+×/4=79

multiply by 4 on both sides

201+x=280

subtract 201 from both sides

x= 79

Tommy and Ruth are cycling to meet each other. Tommy cycles twice as fast as Ruth and they both set off at the same time. At which coordinate will they meet?

Answers

Tommy and Ruth will meet at a coordinate that is 0.5x km away from Ruth's starting point.

In this problem, Tommy and Ruth are cycling towards each other. We are given that Tommy cycles twice as fast as Ruth and they both start cycling at the same time. Our goal is to determine at which coordinate they will meet.

To solve this problem, we need to use the concept of distance, speed, and time. Let's assume that Ruth cycles at a speed of "x" km/hr. Since Tommy cycles twice as fast as Ruth, his speed will be "2x" km/hr.

Let's say that Tommy and Ruth meet at a distance of "d" km from Ruth's starting point. Now, let's calculate the time taken by both Tommy and Ruth to reach this point.

Time taken by Ruth = Distance/Speed = d/x

Time taken by Tommy = Distance/Speed = d/2x

Since they both start cycling at the same time, we can set these two equations equal to each other:

d/x = d/2x

We can then simplify this equation by multiplying both sides by 2x:

2d/x = d

Now we can solve for "d" by multiplying both sides by "x":

2d = dx

d = 0.5x

This means that Tommy and Ruth will meet at a coordinate that is 0.5x km away from Ruth's starting point. To determine the exact coordinates, we need to know where Ruth started cycling from and in which direction they are cycling. If we assume that Ruth started cycling from the origin (0,0) and they are cycling towards each other on a straight path, then they will meet at the coordinate (0.5x, 0).

To know more about Coordinate here

https://brainly.com/question/27749090

#SPJ1

ABCD is a rectangle. If AC is 20 inches, what is DE?
B
Al
E
C
D

Answers

The measurement of DE is 10 inches.

If we know that E is the point where the diagonals of the rectangle intersect, then we know that DE is equal to half the length of the diagonal BD.

Using the Pythagorean theorem, we can relate the length of the diagonal BD to the sides of the rectangle.

Let's assume that the length of the rectangle is L and the width of the rectangle is W. Then, the length of the diagonal BD is given by:

BD = √(L^2 + W^2)

Since we know that the diagonals of a rectangle are equal, we have:

AC = BD

BD = 20

Therefore, DE = 1/2 BD = 1/2 (20) = 10 inches.

Learn more about rectangles here:

https://brainly.com/question/29147156

#SPJ1

If ARSU-AVST, then the triangles are
similar by:

Answers

Answer:

AA sim post

Step-by-step explanation:

They DO have equal (similar) angles.....but they do not have equal sides

if gender would not have mattered, what would have been the number of males that would have survived, given the data for the number of females who survived (296/402) and the total number of passengers on the ship (1207).

Answers

If gender did not matter then the number of males who would have survived would be 593 males

How to find the number who would have survived ?

If gender would not have mattered, the survival rate would be the same for both genders. So, we would use the survival rate of females (which is 296/402) to calculate the expected number of males that would have survived.

First, calculate the survival rate of the females:

Survival rate = Number of females who survived / Total number of females

= 296 / 402

= 0.737

Expected number of male survivors = Number of males * Female survival rate

= 805 x 0.737

= 593 males

Find out more on survival rates at https://brainly.com/question/30894892

#SPJ1

Troys toy box is 4 ft x 3ft x 5 ft. What is the Volume of his toy box?

Answers

Answer:

60 ft^2

Step-by-step explanation:

To get the total volume we will need to multiply all the lengths. This means we will have to do 4 x 3x 5.

4 x 3 x 5 = 15x 4 = 60

Answer:

60 ft³

Step-by-step explanation:

V = 4 ft × 3 ft × 5 ft

V = 12 ft² × 5 ft

V = 60 ft³

#CMIIW

Need help asap, please and thank you

Answers

If the population in the year 2007 is 111.3 million, then the population in the year 2044 will be 148.37 million.

In order to find the population in the year 2044, we use the population growth formula; which is : P = P₀ × (1 + r)ⁿ;

where P = future population, P₀ = initial population, r = annual growth rate, and n = number of years;

Substituting the values,

We get;

⇒ P = (111.3 million) × (1 + 0.0078)²⁰⁴⁴⁻²⁰⁰⁷;

Simplifying this expression,

We get;

⇒ P = (111.3 million) × (1.0078)³⁷;

⇒ P ≈ 148.37 million;

Therefore, the population in the year 2044 is estimated to be approximately 148.37 million.

Learn more about Growth Rate here

https://brainly.com/question/29203229

#SPJ1

The figure below shows the distance between two cities on a map. The scale of the map is 1 }8 inch to 12 miles.

Answers

The actual distance between the two cities is 432 miles.

The figure shows a map of two cities, with a distance between them measured at 4.5 inches.

The scale of the map is given as 1/8 inch to 12 miles.

This means that 1/8 inch on the map represents a distance of 12 miles in real life.

To determine the actual distance between the two cities, we can use the scale provided.

1/8 inch on the map represents 12 miles in real life.

A proportion to find the actual distance between the cities:

1/8 inch on map = 12 miles in real life

4.5 inches on map = x miles in real life

To solve for x, we can cross-multiply and simplify:

1/8 × x = 12 × 4.5

x = 12 × 4.5 × 8

x = 432 miles

Maps with scales can be useful for determining distances, sizes, and proportions of objects in real life.

It allows us to visually represent complex spatial relationships and make measurements without physically being present at the location.

Remember to use the correct scale and make sure to convert units properly in order to accurately determine real-life measurements.

For similar questions on Actual Distance

https://brainly.com/question/29363431

#SPJ11

The graph represents a relation where x represents the independent variable and y represents the dependent variable.

A coordinate plane with points at negative 4 comma 4, negative 2 comma 0, 0 comma negative 3, 3 comma 1, and 5 comma negative 2.

What is the domain of the relation?

{−4, −3, −2, 0, 1, 3, 4, 5}
{−4, −2, 0, 3, 5}
{−3, −2, 0, 1, 4}
{0, 3, 4, 5}

Answers

The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.

How to determine domain relation?

The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.

Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.

Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.

Hence, the correct option is {−4, −2, 0, 3, 5}.

Find out more on domain here: https://brainly.com/question/26098895

#SPJ1

A bag contains 40 marbles. 12 of the marbles are red. What is the percent of red marbles in the bag?

Answers

Answer:

the percentage of red marbles in the bag is 30%.

Step-by-step explanation:

To find the percentage of red marbles in the bag, we need to divide the number of red marbles by the total number of marbles and then multiply by 100:

Percentage of red marbles = (Number of red marbles / Total number of marbles) x 100

Number of red marbles = 12

Total number of marbles = 40

Percentage of red marbles = (12/40) x 100

= 0.3 x 100

= 30%

Therefore, the percentage of red marbles in the bag is 30%.

The Nut Shack sells cashews for $6.80 per pound and Brazil nuts for $4.70 per pound. How much of
each type should be used to make a 37 pound mixture that sells for $5.78 per pound?
Round answers to the nearest pound.
pounds of cashews
pounds of Brazil nuts
> Next Question

Answers

Answer:

Step-by-step explanation:

$6.80 x 19 pounds = $129.2

$4.70 x 18 pounds = $84.6

            +___________________

             37 pounds = $213.8

$213.8 divided by 37 pounds = 5.77837......

                                                  = $5.78 per pound

Question 1b Identify the amount in this statement. 6 is 30% of 20. The amount = The solution is

Answers

The amount in this statement, 6 is 30% of 20 is 6.

The amount in the statement "6 is 30% of 20" is 6.

This statement means that if we take 30% of 20, we get 6.

In other words, the amount 6 is 30% of 20.

We can also verify this by calculating 30% of 20:

30% of 20

= (30/100) × 20

= 0.3 × 20

= 6

Hence,  the amount in this statement is 6.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ1

Mario was given the following enlargement.

A figure with top measurement A and side measurement 6 centimeters. Side A corresponds to a side with length 24 centimeters. A side with length 6 centimeters corresponds with a side with length 12 centimeters.
Figures not drawn to scale.

What is the length of side A, in centimeters?
12
15
24
33

Answers

The length of side A, in centimeters is 12. Option A

How to determine the value

To determine the value, we need to know that;

When two sides of a figure are equal in length, that is in (measure).

For example in a square all sides are equal in length so they're all corresponding measurements.

From the information given, we have that;

Side A corresponds to 24 cm

Length 6 cm corresponds to Length 12 cm

The given parameters can be represented mathematically as;

A/24 = 6/12

cross multiply the values, we have;

12A = 6(24)

Multiply the values

12A = 144

Divide by the coefficient, we have;

A = 12 centimeters

Learn more about measurements at: https://brainly.com/question/27233632

#SPJ1

The correct answer is, A (aka 12)

X/5-y = m-1 resolver para y

Answers

Okay, let's solve this step-by-step:

X/5-y = m-1

Add y to both sides:

X/5 = m

Multiply both sides by 5:

X = 5m

So in this equation, X = 5m.

To find y, we subtract m-1 from both sides of the original equation:

X/5 = 5m

X/5 - (m-1) = 5m - (m-1)

X/5 - m + 1 = 4m

(X - 5m) / 5 = m - 1

X - 5m = 5(m - 1)

X = 20m - 5

So if we let m = any value, we can calculate y. For example:

If m = 3, then:

X = 20*3 - 5

= 55 - 5 = 50

50/X = 5(m - 1) = 5*2 = 10

y = 10

Does this make sense? Let me know if you have any other questions!

please help fast i don’t feel like typing

Answers

Answer:

he should have subtracted 17 from both sides of the equation

Step-by-step explanation:

x+ 17 = 22

subtract 17 from both sides

X + 17 = 22

-17 -17

x = 5

A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 13.2 inches and standard deviation of 2.3 inches. If a sample of 37 items are chosen at random, what is the probability the sample's mean length is greater than 12.1 inches? Round answer to four decimal places.​

Answers

The probability that the sample's mean length is greater than 6.3 inches is0.8446.

Here, we have,

Given mean of 6.5 inches, standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event.

It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

Learn more about probability at

brainly.com/question/24756209

#SPJ1

An object in the shape of a rectangular prism has a length of 9 inches, a width of 5 inches, and a height of 4 inches. The object's density is 11.1 grams per cubic centimeter. Find the mass of the object to the nearest gram.

Answers

Answer:

32.741 kg

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

Mass is the product of the volume and density and the volume of the rectangular prism is the product of its three dimensions.

Find the volume first:

V = 9*5*4 = 180 in³

Convert volume to cm³, taking 2.54 cm per in:

180*(2.54)³ = 2949.67152 cm³

Find the mass:

Mass = 11.1*2949.67152 = 32741.353872 g ≈ 32.741 kg (rounded)

Find surface area without mistaking the lateral height.

Answers

The total "surface-area" of cone having "slant-height" as 10, and base-radius as 6, is 301.44 square units.

The total surface area of a cone can be calculated by adding the area of the base to the lateral surface area.

Let us first calculate the lateral surface area of the cone:

Lateral surface area = πrl; where r is radius , and 'l" = slant-height,

The radius of base = 6 units and slant height is = 10 units.

So, we have:

Lateral surface area = π × 6 × 10

Lateral surface area = 60π square units

Next, Area of the base = πr²;

Area of the base = π × 6²,

Area of the base = 36π square units,

Total surface area = Lateral surface area + Area of the base

Total surface area = 60π + 36π

Total surface area = 96×3.14 = 301.44 square units.

Therefore, the total surface area of cone is 301.44 square units.

Learn more about Surface Area here

https://brainly.com/question/29147652

#SPJ1

what do you add to get the pattern 1, 8, 15, 22, 29 36, 43​

Answers

every time 7 is added (+7)

Answer:

7

Step-by-step explanation:

Finding the common difference of an arithmetic sequence is easy peasy lemon squeezy. All you have to do is take any term and subtract it from the next one. For instance, if you take 1 and subtract it from 8, you get 7. If you take 8 and subtract it from 15, you get 7 again. You can do this for any pair of terms and you will always get 7. That's the common difference of the sequence 1, 8, 15, 22, 29, 36, 43. It means that you just add 7 to each term to get the next one. Isn't that neat?

Out of 1000 students who appeared in an examination,60% passed the examination.60% of the failing students failed in mathematics and 50% of the failing students failed in English.If the students failed in English and Mathematics only, find the number of students who failed in both subjects.​

Answers

The value of number of students who failed in both mathematics and English is 40.

Since, Given that;

60% of the 1000 students passed the examination,

Hence, we can calculate the number of students who passed the exam as follows:

60/100 x 1000 = 600

So, 600 students passed the examination.

Now, let's find the number of students who failed the examination.

Since 60% of the students passed, the remaining 40% must have failed. Therefore, the number of students who failed the examination is:

40/100 x 1000 = 400

Of the 400 failing students, we know that 60% failed in mathematics.

So, the number of students who failed in mathematics is:

60/100 x 400 = 240

Similarly, we know that 50% of the failing students failed in English.

So, the number of students who failed in English is:

50/100 x 400 = 200

Now, we need to find the number of students who failed in both subjects.

We can use the formula:

Total = A + B - Both

Where A is the number of students who failed in mathematics, B is the number of students who failed in English, and Both is the number of students who failed in both subjects.

Substituting the values we have, we get:

400 = 240 + 200 - Both

Solving for Both, we get:

Both = 240 + 200 - 400

Both = 40

Therefore, the number of students who failed in both mathematics and English is 40.

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ1

6% pay increases 62,900 thanks i look forward to the additional _ per month

Answers

Answer:

Step-by-step explanation:

$314.50

To calculate the additional pay per month, we need to multiply the current salary by the percentage increase and divide by 12 (months).

The pay increase is 6% of $62,900, which is:

0.06 x $62,900 = $3,774

Therefore, the additional pay per month is:

$3,774 / 12 = $314.50

So, Ciara can look forward to an additional $314.50 per month.

Can someone pls explain

Answers

163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units

164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.

165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.

166. Missing side = 29 ft.

What is the Pythagorean Theorem?

The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.

163. The distance between A(-5, 6) and B(5, -5):

AB = √[(5−(−5))² + (−5−6)²]

AB = √221

AB ≈ 14.9 units

164. Apply the Pythagorean theorem to find the diagonal:

Diagonal = √(15² + 15²) ≈ 21.2 ft.

165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:

c = √676 = 26 units.

166. Missing side = √(20² + 21²) = 29 ft.

Learn more about the Pythagorean theorem  on:

https://brainly.com/question/27997683

#SPJ1

There are 5,144 blocks to be placed
evenly into 8 storage containers. How
many blocks are in each storage
container?

Answers

Divide the total number of blocks by the total number of storage containers.

5144/8 = 643 blocks in each storage container.

513.4497 rounded to the hundredths place

Answers

Answer:

513.45

Step-by-step explanation:

use intelligence

The answer is 513.45

1459 divided by 6 with remainder as fraction

Answers

Answer:

6 1/243

Step-by-step explanation:

6 goes into 1459, 243 times

243*6=1458

1459-1458=1

So there is a remainder of 1

So the answer would be 6 1/243

1459 divided by 6 equals 243.166666667
This as a fraction is also 1459/6.
This with a remainder is 1459 R1

Hope this helps :D

someone please answer this its confusing me

Answers

24. opposite sides of a parallelogram are always congruent

the line AB will be congruent to line DC so 8t + 7 = 9t - 2 which gives you t = 9

line AD will also be congruent to line BC so 4s + 1 = 2s + 25 which gives you s = 12

Carlos is a door to door vacuum salesman. His weekly salary, S, is $400 plus $35 for each vacuum he sells.

This can be written as S = 400+35v , where v is the number of vacuums sold.

If Carlos earns $1590 for a week's work, how many vacuums did he sell?

Answers

Answer:

34

Step-by-step explanation:

1. Plug in the week's salary into the formula

S=400+35v

1590=400+35v

2. Solve for v.

1590=400+35v

Subract 400 from both sides. Since the opposite of addition is subraction, soing this cancels out the 400.

1190=35v

Divide each side by 35. Since the opposite of multiplication (35v = 35 times v) is division, this will cancel out the 35.

34=v

Other Questions
An animal cell has just completed telophase. Which of the following would you expect to see?a. an empty cellb. chromosomes clustered at the polesc. individual chromatids separatingd. formation of vesicles at the metaphase platee. formation of two genetically identical cell Fair Game Review what youTell whether x and y show direct variation.If so, find the constant of proportionality. 28.) x = 2y29.) y - x = 6 30.) xy = 5 Write in radical form. Do not simplify. 15x^1/4 Two firefighters have come off a long shift and are tired. The next day a required training evaluation is scheduled. One firefighter fails the test, finishing the course one minute behind the other. The superior officer didnt record the time and asks both firefighters for their time. Is it acceptable for the firefighters to give the same time because they both know that the long shift was the reason the one firefighter failed? True or false Please answer ASAP A block with the mass of 14.26kg is on a ramp with an incline of 41 degrees. If the block is stationary, what is the minimum value of the coefficient of static friction? [Please explain to me how you did it, I'm giving you 30 points lol the last two times I've asked ive gotten either no explanation or a link to a calculator...] What changes must a SOLID undergo to become a LIQUID How might the destruction of rainforest affect the balance of gases in Earth's atmosphere by increasing carbon dioxide and decreasing oxygen? What is the relationshipbetween the federalgovernment and the statesif the Constitution is the"supreme law of the land?" A triangle has side lengths of (9f+g)(9f+g) centimeters, (5f+9h)(5f+9h) centimeters, and (2h+7g)(2h+7g) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?. A friend has a 85% average before the final exam for a course. That score includes everything but the final, which counts for 30% of the course grade.What is the best course grade your friend can earn? What is the minimum score your friend would need on the final to earn a 75% for the course? (Give answers accurate to at least one decimal place.) Part B: what paragraph from the text best support your answer to part A? First Lady Hillary Clintons address to the United Nations fourth world conference on women In which quadrant would an angle x lie if cosx is negative and cotx is negative?. What is Garden Answer name? Which value of a makes 7+5(x-3) = 22 a true statement? What are examples of nursing procedures? The term authentication describes a user or principle object that requests to access a file, folder, or other resource. Which of the following is true about parallel computing performance?a) Computations use multiple processors.b) There is an increase in speed.c) The increase in speed is loosely tied to the number of processor or computersused.d) All of the answers are correct. ASAP Ill give brainlist !!!!!Part ELook again at the text from the preamble to the Declaration of Independence. What ideas from that document are foundin the Choctaw Declaration of Rights? Tyrell is traveling to Chicago, Illinois. He takes a cab service from the airport to his hotel. The table shows the linear relationship between the number of miles the cab travels, x, and the total fee, y.Cab FareNumber of Miles ---- Total Fee 2 Miles ---------------- $15.00 5 Miles ---------------- $19.50 7 Miles ---------------- $22.50 10 Miles ---------------- $27.00 15 Miles ---------------- $34.50What does the y-intercept mean in this situation?A) When the cab travels 0 miles, the total fee will be $1.50.B) When the cab travels 0 miles, the total fee will be $12.00.C) For every additional mile the cab travels, the total fee increases by $1.50.D) For every additional mile the cab travels, the total fee increases by $12.00. What are the types of triangles Class 7?