Answer this with detail, please!

Answer This With Detail, Please!

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Hello There!

In order for a relationship to be proportional it must follow these requirements:

It must have a constant rate of changeIt must go through the origin (0,0)The equation is put in y = kx form (where k = slope)

Knowing this let us now look at each relationship

The first one indeed has a constant rate of change

However it has a y intercept of (1,0) so it doesn't go through the origin therefore it is not a proportional relationship

For B:

B is not a proportional relationship because it does not have a constant rate nor can we tell if it goes through he origin

The y value first adds by 7 then by 9 then by 6. (while the x value goes up 1)

in a constant rate of change relationship the slope is constant and goes up by a certain amount each time therefore relation b is not proportional

For C:

Like relation A it has a constant rate of change but its not put in y = kx form and has a y intercept. Because of this it is not considered a proportional relationship

For D:

Relation D happens to have a constant rate of change (as it has a vertical straight line). It also happens to pass through the origin (0,0)

The relation fulfills each requirement therefore D is your answer


Related Questions

Hunh put $3000 into a savings account that earns 6% simple interest annually. After six years, how much money will Hunh have?

Answers

Answer:

4,080.00

Step-by-step explanation:

The total amount accrued, principal plus interest, from simple interest on a principal of $3,000.00 at a rate of 6% per year for 6 years is $4,080.00.

Which of the following are remote interior angles of Z6? Check all that apply.
4
1
5
2.
2
6
3
O A. 24
B. 21
O C. 22
O D. 25
E. <3
A F. 26

Answers

Answer:

B. <1

E. <3

Step-by-step explanation:

Remote interior angles are interior angles inside a triangle that are opposite to an exterior angle of the triangle.

<6 is an exterior angle. The remote interior angles that are opposite to <6 are <1 and <3.

Therefore, <1 and <3 are remote Interior angles of <6

They are away from <6.

The remote interior angles of ∠6 are ∠1 and ∠3

Remote interior angles:

Remote interior angles are those angles that don't share a vertex or corner of a triangle with the exterior angle.

The remote interior angles are usually opposite of the exterior angles.

The remote interior angles of ∠6 are those angles interior angles that does not share a vertex with the ∠6(exterior angle).

Therefore, the remote interior angles of ∠6 are ∠1 and ∠3

learn more on remote interior angles:https://brainly.com/question/1585690

The area of a square mural is 144x2 - 72x + 9. What is the length of one side
of the mural?

Answers

Answer:

-0.25 units

Step-by-step explanation:

144x^2 - 72x + 9 = 0

common factor: 9

16x^2 - 8x + 1 = 0

(4x + 1)^2 = 0

4x +1 = 0

4x = -1

x = -0.25 units

What is the slope of the line that passes through the points (1, -2) and (3, -5)?
A 2/7
B 7/2
C -2/3
D -3/2

Answers

slope= (y2-y1)/(x2-x2)

(-5-(-2))/(3-1)
- negative 2 would become a positive
(-5+2)/(2)
-3/2

the answer is d

Does anyone know this, scammers keep answering it

Answers

Answer:

Blank 1: 50

Blank 2: 95

Blank 3: is not

Blank 4: is not

Step-by-step explanation:

A right angle is 90 degrees, and a rectangle is a plane figure that has four straight sides and four right angles.

Unit 10: Circles ** please show how you got the answer ** i know the answer is 108° but i don’t know how to get it.

Answers

Answer:

108 degrees

Step-by-step explanation:

you gotta add the degrees up with a protractor or you add 54 plus 54 which equals 108

P=(L+B), then B=_____?

Answers

Answer:

P = L+B

B = P-L

Hope it helps

Help me with this pls

Answers

Answer:

x=65 degrees

Step-by-step explanation:

It's a right angle because a line is equal to 180* and one side is a right angle so the other is one as well so 90*-25*=65*

PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!

Evaluate f^-2 g for f = 3 and g = 27.

a) 9

b) 1/3

c) 3

Answers

B because it looks like it

(3)^-2 (27)

the answer is C) 3

Question 6 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10 T. (1.9)
-10
(0, 0)
10
-101
O A. y=-*
O B. y= 18x
O C. y=9x
O D. y= -18x
1
X
O E. y = 5
O F. y=-9x
SUBMIT

Answers

The equation for the following line is E.

The equation of the line is y = 9x. The correct answer is C.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

the points of line are (1,9) and (0,0).

Now,

In this case, the given points are (1, 9) and (0, 0). We can use them to find the slope:

m = (y2 - y1) / (x2 - x1) m = (0 - 9) / (0 - 1) m = -9 / -1 m = 9

Then we can use the point-slope form with any of the given points. Let’s use (0, 0):

y - y1 = m (x - x1) y - 0 = 9 (x - 0) y = 9x

This is already in slope-intercept form. The slope is 9 and the y-intercept is 0.

Therefore, the equation of the line will be y = 9x.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ7

Ali has $60 to spend and would like to buy
as many calculators as possible with the
money. The calculators that she wants to
buy are $8.75 each.
How much money will she have left over
after she purchases the greatest possible
number of calculators?

Answers

Answer:

60/8.75 = 6 calculators.

6 x 8.75 = 52.5

60 - 52.5 = $7.50 left

Step-by-step explanation:

The graph below shows the relationship between the number of months different students practiced boxing and the number of matches they won:

The title of the graph is Boxing Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 21 at increments of 3, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 3 and 1, 6 and 2, 7 and 3, 9 and 4, 11 and 5, 13 and 6, 14 and 7, 16 and 8, 17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 4 and 2, 7.1 and 4, 11 and 6, 13.5 and 8, 17 and 10, 20.5.

Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)

Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)

Answers

Answer:

(a) y intercept is approximately 4.3

(b) [tex]y = 1.5x+4.5[/tex]

Step-by-step explanation:

Given

See attachment for graph

Solving (a) The y intercept

This is the point where [tex]x =0[/tex]

From the attached graph; By observation

[tex]y \approx 4.3[/tex] when [tex]x =0[/tex]

So, the y intercept is approximately 4.3

Solving (b): The equation of best fit.

First, calculate the slope of the line using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (9,18)[/tex]

[tex](x_2,y_2) = (8,16.5)[/tex]

So:

[tex]m = \frac{16.5- 18}{8 - 9}[/tex]

[tex]m = \frac{-1.5}{- 1}[/tex]

[tex]m = 1.5[/tex]

The equation is then calculated using:

[tex]y =m(x - x_1) + y_1[/tex]

Where: [tex]m = 1.5[/tex] and [tex](x_1,y_1) = (9,18)[/tex]

[tex]y = 1.5(x - 9) + 18[/tex]

[tex]y = 1.5x - 9*1.5 + 18[/tex]

[tex]y = 1.5x - 13.5 + 18[/tex]

[tex]y = 1.5x+4.5[/tex]

A retiree invests $7,000 in a savings plan that pays 7% per year. What will the account balance be at
the end of the first year?

Answers

Answer:

$6510

Step-by-step explanation:

First thing that should come to mind is: What is 7% of $7000?

Well, if you don't know how to find a percent of something, this is the formula you use:

7000 x 0.07 = 490.

In the first year, they will receive 490 out of the 7000 they've invested.

7000 - 490 = 6510.

Therefore, the account balance at the end of the first year will be 6510.

The account balance at the end of first year will be equal to $6510.

What do you mean by percentage ?

Percentage is the relative value indicating one hundredth part of any quantity.

It is given that a retiree invests $7000 in a savings plan which pays 7% per year.  So , it meant that we need to calculate that what is the value 7% of $7000.

So , 7% of $7000 is :

= 7000 × [tex]\frac{7}{100}[/tex]

= $490

It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.

So , the account balance at the end of first year will be :

= 7000 - 490

= $6510

Therefore , the account balance at the end of first year will be equal to $6510.

Learn more about percentage here :

brainly.com/question/22091903

#SPJ2

Math 3rd grade can anyone explain why is 48 ?? I thought that we need to plus 6 top 6 bottom and each side is 8 why 8 because 6+2 is 8
So 6+6+8+8 = 24

Answers

Answer:

It's 48

Step-by-step explanation:

The entire area of the rectangle would be length times width

The width is six, and the length is 8

6 times 8 is 48

btw, its asking for area

Answer:

See, its divided into TWO squares/rectangles.

you have to solve with the numbers you have on each one.

so, for the covered in shade one, you do 6 times 2, which is 12.

for the "not covered" you need to find the second number for the square. Since it has equal sides, the other side will be 6.

for that one you do 6 times 6 which is 36.

now you add both of them.

36 + 12= 48.

You added them, you need to multiply them but do not mix both rectangles/ squares numbers  until the end

Which is a true statement based on the box plots below?
I WILL GIVE BRAINELY BECAUSE I NEED THIS DONE FAST BY TODAY

Answers

Question:

Which is a true statement based on the box plots below?

Answer:

It is C because the interquartile range is larger than the other one.

Hope This Helps :)

I can't figure this problem out- Please help me​

Answers

Answer:

68 in^2

Step-by-step explanation:

the shape is a trapezoid

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =   x (sum of the lengths of the parallel sides) x height

the dimension of the height is not given. We have to determine the value of the height using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² = 6² + height²

100 = 36 + height²

height = 64

the square root of 64 is 8

the height is 8

1/2 x (8 + 9) x 8 = 68in^2

answer please ill give brainlist and ten points

Answers

Answer:

The answer is 32.

Step-by-step explanation:

7 * A =

7 * 4 = 28

b^2 =

6^2 = 36

28 + 36 ÷ 9 = 32

So, the answer is 32.

Hope this helps! :)

Write rational numbers between 0 and 1
-----------------------------------------------------------------------------------------
please also say how did you solve it
this question has 20 points
I will mark you as Brillant if you answer it

Answers

Answer:

There are infinite rational numbers between 0 and 1. To list a few, we have,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, …

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,0.101, 0.102, 0.103, 0.104, …

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,0.101, 0.102, 0.103, 0.104, …Again, between 0.11 and 0.12, we have,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,0.101, 0.102, 0.103, 0.104, …Again, between 0.11 and 0.12, we have,0.111, 0.112, 0.113, … , 0.119, …

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,0.101, 0.102, 0.103, 0.104, …Again, between 0.11 and 0.12, we have,0.111, 0.112, 0.113, … , 0.119, …This goes with saying,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,0.101, 0.102, 0.103, 0.104, …Again, between 0.11 and 0.12, we have,0.111, 0.112, 0.113, … , 0.119, …This goes with saying,“Between any two real numbers a and b, there are an infinite number of real numbers.”

Step-by-step explanation:

please mark me as brainliest answer

I have no clue how to do this! please help me!!!

Answers

Answer:

The equation has one solution.

A value of x that makes the equation true is 5, which when substituted into the equation and simplified makes the equation turn into 10=10

A value of x that makes the equation false is 6, which when substituted into the equation and simplified makes the equation turn into 12=10

Step-by-step explanation:

2x=10

Divide both sides by two:

2x/2=10/2

x=5. There is no other solution to the equation, because 5 is the only possible answer.

Just want to confirm the answer is 4 more student because from 6 to 10 is 4
More or I’m wrong ?? Just please help me with yes or no thanks

Answers

Yes the answer is correct it’s 4

Answer:

Yes

Step-by-step explanation:

Your answer is correct ^^

A recipe for 1 batch of cookies calls for 3/4 cup of flour. How much flour is required to bake 1 1/2 batches of cookies?

Answers

Answer:

1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.

Step-by-step explanation:

Given that a recipe for 1 batch of cookies calls for 3/4 cup of flour, to determine how much flour is required to bake 1 1/2 batches of cookies, the following calculation must be performed:

3/4 = 0.75

1/2 = 0.5

1 = 0.75

1.5 = X

1.5 x 0.75 / 1 = X

1.125 = X

0.125 = 1/8

Thus, 1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.

Proving triangles similar

Answers

Answer:

x=11

Step-by-step explanation:

You do 38/3x+3 and 19/x+7 and then cross mulitply and get 57x+57=38x+266. Then yoy subtract 57 from 266 and get 57x=38x+209. Now you have to subtract 38 from 57 and then answer will be 19. So now you have 19x=209. Finally you divide 209 by 19 and get x=11. Good luck!

are these correct???

Answers

Answer:

They are all correct.

Step-by-step explanation:

1.

1/2(b)(h)

1/2(4)(6)

1/2(24)

12

2. l x w

7 x 5

35

3. (b)(h)

(8)(4)

32

What is the name of the object pictured below?

Answers

Answer:

b

Step-by-step explanation:

Answer: D) KJ

Step-by-step explanation:

The object shown is a ray. It has a fixed starting point, but does not have an endpoint.

Select ALL TRUE statements about Linear Functions:
Group of answer choices

The degree of the function is one.

The y values change by a common difference.

The graph is a straight line.

Vertex form is used for graphing.

Answers

Step-by-step explanation:

The degree of the function is one: Correct

The y values change by a common difference: incorrect

The graph is a straight line: Correct

Vertex form is used for graphing: Incorrect

Hope that helps :)

help please, i need it asap. thank you

Answers

Answer:

x = 5

Step-by-step explanation:

[tex]\frac{3}{x}[/tex] = [tex]\frac{4.5}{7.5}[/tex]

cross multiply

4.5x = 7.5(3)

4.5x = 22.5

Divide

x = 5

Help SOMEONE???? MATH IS SO HARD!!!​

Answers

Answer:

16. 70%

17. 100%

Step-by-step explanation:

16. As seen here, there are 10 marbles in total. Out of those marbles, there are 7 green marbles.

We can set up a "part to whole" fraction such as 7/10

Then we just find the % value by finding an equivalent "x to 100" ratio (percentages go up to 100)

7/10 = x/100

1000 = 7x

70 = x

17. Fortunately, there doesn't seem to need too much math involved as the only possible marbles are red and green. Therefore, you have a 100% chance of getting a green or red marble.

Hope that helps a bit!

Use triangle DEF shown below to answer the question that follows. What is the value of X rounded to the nearest hundredth?

Answers

Answer:

it might be x=63.27

Step-by-step explanation:

Please answer soon!!!

Answers

You can multiply the base times the height

The radius of the cylindrical construction pipe is 2.5ft, if the pipe is 25ft long, what is the volume? Use the value 3.14 for pi, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. Please helpp.

Answers

Answer:

Step-by-step explanation:

radius of the cylindrical construction pipe = 2.5 ft

height of cylinder = 25 ft

volume of cylinder = [tex]\pi r^{2} h[/tex]

                             = 3.14 x 2.5 x 2.5 x 25

                             = 490.625

                             = 490 [tex]ft^{3}[/tex]

Hope this helps

please mark as brainliest!!!

Answer:

490 ft³

Step-by-step explanation:

The radius of the cylindrical construction pipe is 2.5ft, if the pipe is 25ft long, what is the volume? 490 ft³

Other Questions
On a school field trip, there will be one adult for every 12 students. Which equation could be used to find a, the number of adults, if s, the number of students, is unknown? In which era did these occur: Sharecropping, Black Codes, Freedman's Bureau, Military Reconstruction Acts? What inference can be drawn about mrs.auld in this excerpt Find the length of side x in simplest radical form with a rational denominator. 5. Outside of the distractions, do you think the Rolling Stones were larger than the Beatles? Pleasegive details|Yes 100 points brainliest!!! plz answer all to the best of your ability no links they don't work for meAnswer the following questions using what you've learned from this unit. Write your responses in the space provided.1. Part I: The degree of a polynomial is the (greatest / least) of the degrees of its terms. (Circle the term that correctly completes this definition.) (1 point)Part II: In order to write a polynomial in descending order, you must write the terms with the exponents (decreasing / increasing) from left to right. (Circle the term that correctly completes this rule.) (1 point)Part III: For each polynomial, determine the degree and write the polynomial in descending order. (4 points: 2 points each)A. 4x2 12 + 11x4 B. 2x5 + 14 3x4 + 7x + 3x32. Use addition and subtraction to simplify the following polynomials.A. Add polynomials: (3 4x + 8x2) + (6 + 2x 5x2)Step 1: Rewrite the polynomials without the parentheses. (1 point)Step 2: Write the polynomial in descending order and use parentheses around like terms. (1 point)Step 3: Add the like terms identified in Step 2 to simplify the polynomial. (1 point)B. Subtract polynomials: (3x 5 7x2) (2 + 6x2 5x)Step 1: Rewrite the polynomials without the parentheses. Remember to multiply each term in the second parentheses by 1. Show your work. (2 points)Step 2: Write the polynomial in descending order and use parentheses around like terms. (1 point)Step 3: Add the like terms identified in Step 2 to simplify the polynomial. (1 point)3. Use the FOIL method to multiply binomials.Part I: When multiplying binomials, the FOIL method helps you to organize the multiplication of each term of the first binomial by each term of the second. Fill in each blank with the word used to show how the binomials' terms are multiplied. (2 points: 0.5 point each)F O I L Part II: Using the FOIL method, multiply the terms in the binomials below. Show your work in the blanks provided. Then, add any like terms and write the polynomial in standard form in the space provided. Show your work. (8 points: 2 points each)A. (3x + 7)(2x 5) B. (x2 + 2x)(5x2 3x)______ + _______ + _______ + _______ ______ + _______ + _______ + ___________________________________________________C. (5x + 4)(5x 4) D. (x2 7)(x2 4)______ + _______ + _______ + _______ ______ + _______ + _______ + _____________________________ ______________________4. Use the distributive property to multiply the trinomial by the binomial.Circle the first term in the trinomial, multiply it by each term in the binomial, and place each result in the blank spaces provided. Repeat this process for the second and third terms of the trinomial until all of the spaces are filled in. Finally, in the space provided beneath the blanks, simplify the expression by combining like terms and arranging the terms from highest to lowest order. Show your work. (4 points)(3x2 2x + 7)(x2 + 2x)______ + _______ + _______ + _______ + ______ + _______5. Use the vertical method to multiply two trinomials.Step 1: Multiply the top trinomial by the last term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)Step 2: Multiply the top trinomial by the middle term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)Step 3: Multiply the top trinomial by the first term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)Step 4: Add the three partial products to find the final answer. Place the result at the bottom. (1 point)6. Sabrina is making an open box from a piece of cardboard that has a width of 12 inches and a length of 18 inches. She'll form the box by making cuts at the corners and folding up the sides. If she wants the box to have a volume of 224 in3, how long should she make the cuts?Part I: Each dimension (width, length, and height) of the finished box can be represented by a polynomial expression. If the height is x inches, what is the length in terms of x? (2 points)Height = xWidth = 12 2xLength =Part II: The formula for volume is v = l w h. Use the polynomial expressions from Part I to write an equation to represent the volume of the box. Simplify on the right side by multiplying the polynomials and writing the answer in descending order. Show your work.HINT: First multiply the binomials representing length and width. Next, multiply the resulting trinomial by the expression representing height. (3 points)v =Part III: The length of each cut at the corners is represented by x. To make a box, x must fall in a certain range of values. For example, x cannot be 15 because that would make the flap longer than the width of the box. Identify one reasonable value of x. Why did you choose that value? (2 points)Part IV: Use the polynomial equation you wrote in Part II to find the volume of the box for each value of x. Show your work. (5 points) 3. Which type(s) of cells have genetic material that is contained in a nucleus?A. bacterialB. plants onlyC. animals onlyD. both plant and animal cells Solve the system of equations given by elimination:{y = -x + 1{y = 4x 14A. (-3, 2)B. (-3,-2)C. (3,2)D. (3,-2) The universal need includes:. Knowing that your feelings matter.B. Being richC. Having a lot of friends.D. All of the above Urgent!!!!!12. Arrange the stages of municipal council election by writing 1-7 in thecorrect place. (2 marks each)Stages in municipal electionsGirst (1) to last (17)People going to the polling station toCouncilors campaign for election.The number of votes for each divisionis counted.Voters vote by secret ballot.Candidates nominated by two mainpolitical parties. ANSWER ASAP: What are the basicneeds of humans? What are basic needs ofanimals? How are these similar or different? What is the lateral surface of the prism shown hereIf you know the answer pls help Ill give brainliest Simplify the expression 16 3\4 What is the correct definition for "target heart rate range"? A. Number of beats per minute the heart drops after exerc... Every traveller is a tourist but every tourist is not a traveller justify Taxes that are paid by individuals on all money earned, including investments, are El resultado de la operacin combinada 70-25+9-2x102 corresponde a:A) 9 B)44 C)80 Who doesn't have power in a monarchy A compact disc is designed to last an average of 4 years with a standard deviation of 0.8 years. What is the probability that a CD will last less than 3 years?A- 1.11%, B - 10.56%, C - 86.65%, D - 100% Need help alegbra!!! Look at photo for question!!