Which polynomial function could be represented by the graph below?
-8-8-4
8
6
+
2
-6
do
2 4
Of(x) = x² + x - 2
Of(x) = 2x2 + 2x - 4
O f(x)=x²-x-2
Of(x) = 2x² -2x - 4
6
8 X

Which Polynomial Function Could Be Represented By The Graph Below?-8-8-486+2-6do2 4Of(x) = X + X - 2Of(x)

Answers

Answer 1

The equation of the polynomial function is y = x² + x - 2

How to determine the equation of the polynomial function?

The polynomial function is represented on the given graph

From the graph, we can see that:

The curve of the graph crosses the x-axis at the following points

x = -2 and x = 1

This means that the equation of the polynomial function can be calculated as

y = (x - x₁) * (x  - x₂)

Where

x₁ = -2 and x₂ = 1

Substitute x₁ = -2 and x₂ = 1 in the equation y = (x - x₁) * (x  - x₂)

So, we have

y = (x + 2) * (x  - 1)

Open the brackets

y = x² + 2x - x - 2

Evaluate

y = x² + x - 2

Hence, the equation is y = x² + x - 2

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Related Questions

24 students in a class took an algebra test
​If 18 students passed the test, what percent passed

Answers

Answer:

only 75% of the class or students passed the algebra test

Answer: 75%

Step-by-step explanation: The equation for percentages is: part = percent • whole.

We can use our given values and plug them into the equation to solve for our percent.

In this problem, the “part” is 18, and our “whole” is 24, since the whole class has 24 people, and part of the class (18) passed.

P = % • W

18 = % • 24

(to solve for %, we have to get isolate it, or get rid of the • 24. We use division, the opposite operation, to cancel our • 24.)

18 = % • 24

÷24 ÷24

0.75 = %
Since percents are out of 100, we have to multiply 0.75 by 100.

0.75 • 100 = 75%

I hope this helped!

Which is more 15% or 1/4

Answers

1/4 because 1/4 is 25% where 15% is 3/20 as a fraction

Answer: 1/4 is more

Step-by-step explanation:

1/4=25%

25%>15%

1/4>15%

1/4 is more than 15%

Look at the pic tell me what’s correct

Answers

Answer:

B

Step-by-step explanation:

V = 27(0.8)^1

V = 21.6

V = 27(0.8)^2

V = 17.28

And more

Find the slope of the line that contains the given point

Answers

Answer:

(2, 1) and (4, 2): [tex]\frac{1}{2}[/tex]

(-4, 5) and (-3, -7): [tex]-12[/tex]

Step-by-step explanation:

Hello! Let's help you with that problem there!

So we know that in a slope intercept form, it is depicted as [tex]y=mx+b[/tex]. There are two ways to essentially find m, which is slope in this case. The first method is the [tex]\frac{rise}{run}[/tex] method. This is typically used when you have a graph to look off from and it's just a matter of counting the displacement from one point to another.

However, there is another way to find the slope given 2 points and that is what we are going to do here, since we have no graph to reference and have all the relevant information to find the slope using this formula:

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

With this formula, we can plug in the coordinate values and solve for the slope!

(2, 1) and (4, 2):

[tex]m=\frac{2-1}{4-2}[/tex]

[tex]m=\frac{1}{2}[/tex]

Therefore, the slope of these points is [tex]m=\frac{1}{2}[/tex]

(-4, 5) and (-3, -7):

[tex]m=\frac{-7-5}{-3-(-4)}[/tex]

[tex]m=\frac{-12}{1}[/tex]

[tex]m=-12[/tex]

Therefore, the slope of these points is [tex]m=\frac{-12}{1}[/tex] or [tex]m=-12[/tex]

A farmer has 80 animals on his farm.The animals consist of cows and chickens .Given there are 216 legs altogether among the animals, how many cows are there?

Answers

The farmer has 28 cows from a total of 80 animals in the farm.

How many cows and chickens does the farmer have in the farm?

Each chicken has two legs and each cow has four legs. The farmer has a total of 216 legs among all the animals, which are 80. Then, we can represent the situation with the following system of linear equations:

x + y = 80

4 · x + 2 · y = 216

Where:

x - The number of cows.y - The number of chickens.

The system can be solved easily by some algebraic handling:

x = 80 - y

4 · (80 - y) + 2 · y = 216

320 - 4 · y + 2 · y = 216

320 - 2 · y = 216

2 · y = 320 - 216

2 · y = 104

y = 52

x = 80 - 52

x = 28

The farmer has 28 cows.

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Claire drove 204 miles in 4 hours. If she continued at the same rate, how far would she travel in 13 hours?

Answers

Answer:

15 hours

Step-by-step explanation:Easy math

Answer:

663

Step-by-step explanation:

Good luck on this

in a sale , normal prices are reduced by 17%. the normal price of a washing machine is reduced by £42.50. work out the sales price of the washing machine

Answers

The sales price of washing machine is 250.

What is sales price?

The price at which something sells or is offered for sale after having its price lowered is known as sales price. 

A sale price is the reduced cost at which goods or services are offered for sale. Typically, this price is provided for a brief period of time in an effort to boost sales during a slow period or get rid of extra inventory.

The promotional price is indicated as a percentage off of the standard list price.

Let x be the sales price of washing machine, then as per given

17% of x = 42.5

(17/100) * x =42.5

x = 250

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for a population with a standard deviation of σ = 6, what is the z-score corresponding to a score that is 12 points above the mean?

Answers

The z-score corresponding to a score that is 12 points above the mean is 2.

The z-score is a numerical measurement used in statistics to determine the sample data value's relationship to the mean of a group of values, measured in terms of standard deviation from the mean. It is measured as the difference of the sample data value and the sample mean over the standard deviation, such that

z-score = (x – μ) / σ

where x = sample data value

μ = mean

σ = standard deviation

If the sample score is 12 points above the mean, then (x – μ) = 12.

(x – μ) = 12

σ = 6

Substitute the values to the z-score formula.

z-score = (x – μ) / σ

z-score = 12/6

z-score = 2

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What is The sum of two consecutive even integers divided by four is 1895

Answers

Answer:

I don't understand what the question is asking, so just see if you can get something from what I wrote below.

Step-by-step explanation:

Call the first number x and the next one x+2.

(x+ (x+2))/4 = 1895

Multiply by 4 on both sides...

x+(x+2) = 7580

Simplify on the left side...

2x+2 = 7580

2x = 7578

Divide by 2...

x = 3,789

x+2 = 3791

If P=2500, r=6 %, and m=12, find the accumulated amount after 5 years.

Answers

hello

the question presented here related to compound interest and we can solve that using the formula

[tex]\begin{gathered} A=p(1+\frac{r}{n})^{nt}^{} \\ r=\text{rate}=6\text{ \% = 0.06} \\ n=12 \\ p=2500 \\ t=5 \\ \end{gathered}[/tex]

let's proceed to substitute the values into the equation

[tex]\begin{gathered} A=2500(1+\frac{0.06}{12})^{12\times5} \\ A=2500(1+0.005)^{60} \\ A=2500(1.005)^{60} \\ A=2500\times1.005^{60}^{} \\ A=2500\times1.3488 \\ A=3375 \end{gathered}[/tex]

the compounded interest compounded monthly at 6% for 5 years is 3375

The amount is  3250

The accumulated amount is calculated using the initial investment and  interest earned in the given duration

The formula for simple interest is  P×R×T and further, it is divided  by 100

SI= 2500 ×  6 × 5 =75000 ÷100 = 750

Now, for calculating the accumulated amount we will add the initial investment and the interest gained

ie, 2500+750 =3250

Here we are using the simple interest method to calculate the interest as it is assumed to be taken as simple interest when nothing is specified.

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Determined whether the relation is a function. If it is not a function, circle the ordered pairs that cause it not to be a function.

Answers

To be a function, each input can only go to one output

A. The input 1 goes to two different output values

(1,6) (1,7) causes it not to be a function

B. This is a function. Each input has only one output value

C. The input 0 goes to two different output values

(0,-5) snf (0,4) causes it not to be a function

Graph the line with slope -3/4 and y-intercept 9.

Answers

The equation of the line with slope -3/4 and y intercept 9 is y=-3/4x+9.

Based on the conditions formulate:

m=-3/4

and b = 9

Write the equation of the linear function:

y=mx+b

substitute m=-3/4 and b=9 into y=mx+b:

y = -3/4x+9

A line's equation must be in the Slope-Intercept Form, y = mx + b, in order to be graphed using its slope and y-intercept.

This format makes it simple to read off the slope and y-intercept values. The y-intercept is the constant term b, whereas the slope is just the m coefficient of the variable x.

plot the y intercept (0,9) in the xy axis.

Use the slope to locate a different point beginning at the y-intercept. The direction you travel from one point to another is contained in the slope.

Hence the required graph is plotted.

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Solve asap giving brainliest all the info you need is in the photo

Answers

Answer:

[tex]\textsf{C:}[/tex]

[tex]\begin{cases}s + h = 40\\18s + 14h = 700 \end{cases}[/tex]

Step-by-step explanation:

Given information:

40 = Total number of scarves and hats sold.$700 = Total amount made from the sale.$18 = Charge for each scarf.$14 = Charge for each hat.

Define the variables:

Let s = number of scarves sold.Let h = number of hats sold.

Create an equation for the total number of scarves and hats sold:

⇒ s + h = 40

Create an equation that represents the total amount made from sales considering the cost per item:

⇒ 18s + 14h = 700

Therefore, the system of equations that represents the given constraints is:

[tex]\begin{cases}s + h = 40\\18s + 14h = 700 \end{cases}[/tex]

How many toys would Patricia build in 10 hours if she built 5 toys
every 6 minutes?

Answers

Answer:

500

Step-by-step explanation:

she can build 5 in 6 minutes. 6 × 10 is 1 hour

so you would do 5 × 10 = 50

then multiply 50 × 10 hours = 500 toys

Answer:

Patricia will build 500 toys in 10 hours

Step-by-step explanation:

5 toys                   ? toys

---------         =        ----------

6 minutes            10 hours

so we would turn the hours into minutes which would be

600 minutes.

5 toys                   ? toys

---------         =        ----------

6 minutes            600 mins

Then we would cross multiply and that will give us how many toys she can build in 10 hours, which is 500 toys.

8. the floor of a rectangular meeting room has raised platform that is the same length as the room. the whole room has an area of 46 14/15, ( 7 1 /3 yards )
Part B Suppose there are of the platform is 7 34/45 square yards. what fraction of the entire floor is the raised platform. P.s make sure to show your work

Answers

Answer:The width of the room is .

Step-by-step explanation:

Consider the provided information.

It is given that the whole room has an area 46 14/15 sq yd.

This can be written as:

yd.

Now consider the figure shown below:

From the figure we know that the length of the rectangular meeting room is  yd.

The area of rectangle is

Let width of the rectangle is w yard.

Hence, the width of the room is .

active attachment

Step-by-step explanation:

The width of the room is .

Step-by-step explanation:

Consider the provided information.

It is given that the whole room has an area 46 14/15 sq yd.

This can be written as:

yd.

Now consider the figure shown below:

From the figure we know that the length of the rectangular meeting room is  yd.

The area of rectangle is

Let width of the rectangle is w yard.

Hence, the width of the room is .

active attachment

Sam counted 12 liters of hand sanitizer in the storage cabinet . He fills the seven of the examination rooms as follows : 350 mL , 600 mL , 475 mL, 580 720 , and 500 mL .a)How many total milliliters did sam use to fill the dispensers?B) After filling the dispensers, how many liters of sanitizer remain in the storage cabinet?

Answers

a) To know the total millilites that sam use to fil the dispenser, we will have to add all the seven amount filled as shown;

Total (in milliliters) = 350 mL + 600 mL + 475 mL + 580mL + 720mL + 500 mL

Total (in milliliters) = 3225mL

Hence the total milliliters that sam use to fill the dispensers is 3225millilitres

b) The amount liters of sanitizer remaining will be 12litres - 3225mL

Convert 3225mL to litres

3225mL = 3225/1000 Litres

3225mL = 3.225litres

The amount liters of sanitizer remaining = 12 - 3.225

The amount liters of sanitizer remaining = 8.775litres

Ray Horton is a laborer. He earns $16.25 per hour. How many hours per week must he work if
he wants to earn approximately $585.00 per week?

Answers

828 iqii jsjshs bhsis

Please please help! :)

Answers

Answer:

∠ 2 = 140°

Step-by-step explanation:

the left base angle in the triangle and 110° are a linear pair and sum to 180°

base angle + 110° = 180° ( subtract 110° from both sides )

base angle = 70°

the 2 sides of the triangle are congruent so Δ is isosceles with base angles congruent.

the vertex of the Δ is then

(180 - 70 - 70)° = 180° - 140° = 40°

the vertex and ∠ 2 are a linear pair and sum to 180° , that is

∠ 2 + 40° = 180° ( subtract 40° from both sides )

∠ 2 = 140°

use lagrange multipliers to find two positive numbers whose product is 196 and whose sum is a minimum. (enter your answers as a comma-separated list.)

Answers

Required Lagrange multipliers are 14,14.

What are Lagrange multipliers?

In multivariable calculus, Lagrange multipliers are used to locate the maximum and minimum of a function that is subject to restrictions.An approach for locating a function's maximum or minimum is the Lagrange multiplier method.The growth in the optimization problem (f(x, y)) that results from a marginal relaxation of the constraint is quantified by the Lagrange multiplier.

We have to minimize f(x,y)=x+y'

subject to xy=196 ............(1)

x>0,y>0

Let L(x,y,d)= f(x,y)+d(XY-196)

∀L= [tex](\frac{Lx}{Ly} )=(\frac{1+dy}{1+dx} )[/tex]

For critical points,

∀L=0

⇒[tex](\frac{1+dy}{1+dx} )=\frac{0}{0}[/tex]

⇒ x,y= -1/d

Substituting in equation 1, we get,

d=±1/14

d=+1/14 ⇒ x=y=-14 (neglect)

d=-1/14 ⇒ x=y=+14

∵ x>0, y>0.

Hence, x=y=14

Function's maximum or minimum

f(x,y)=f(14,14)=28

Required Lagrange multipliers are 14,14.

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Find g(x), where g(x) is the translation 6 units down of f(x)=6x+2.
Write your answer in the form mx+b, where m and b are integers.
Help please!

Answers

The image of the function after the translation is g(x) = 6x - 4

What is translation?

Translation involves shifting a function across the coordinate plane

How to determine the equation of g(x)?

The given parameters are:

f(x) = 6x + 2

The transformation is given as

Translation 6 units down

Mathematically, this transformation can be represented as

(x, y) = (x, y - 6)

When represented as a function, we have

g(x) = f(x) - 6

Substitute the equation f(x) = 6x + 2 in the equation g(x) = f(x) - 6

So, we have the following equation

g(x) = 6x + 2 - 6

Evaluate the like terms

g(x) = 6x - 4

Hence, the equation of g(x) is g(x) = 6x - 4

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help i dont understand this

Answers

Answer:

X= 15 is Undefined

Y= -3 is Zero

Y= 1/2x - 4 is a positive slope

A pet store clerk suggested 4 small fish for a 5-gallon fish tank. What size tank would be suggested to hold 60 small fish?

12-gallon tank
48-gallon tank
75-gallon tank
240-gallon tank

Answers

The size of the tank would be suggested to hold 60 small fish is 75 gallon-tank option (C) is 75 gallon-tank.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

A pet store clerk suggested 4 small fish for a 5-gallon fish tank.

4 small fish = 5-gallon

60 small fish = x gallon

x = (5)(60)/4

x = 75 gallon-tank

Thus, the size of the tank would be suggested to hold 60 small fish is 75 gallon-tank option (C) is 75 gallon-tank.

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Is this a valid argument?

Given: If two points lie on the same plane, then they are coplanar.

Points X and Y both lie on plane R.

Conclusion: Points X and Y are coplanar.

Answers

Yes, this is a valid argument. This argument uses the Law of Detachment.

What is the Law of Detachment in logic?

The Law of Detachment states that if the hypothesis of a true conditional statement is true, then the conclusion must be true as well. The Law of Detachment is the most often employed deductive reasoning theory.

Given:

Points X and Y both lie on plane R.

Conclusion: Points X and Y are coplanar.

The argument is true because,

The term "coplanar" refers to "being on the same plane." Coplanar points are points that are on the same plane. A group of points in space is said to be coplanar if there is a geometric plane that contains all of them.

Hence, the Conclusion is Points X and Y are coplanar.

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Help me please is do today

Answers

The unknown variable, h of the equation is 18

How to find variable in an equation?

A variable is a number represented by a letter in an equation.

The unknown variable in the equation is variable h.

Therefore, let's find the value of h.

A = 1 / 2 h(B + b)

where

A = 153B = 10b = 7

Therefore, let's substitute the known values in the equation.

153 = 1 / 2h(10 + 7)

153 = 1 / 2 h(17)

153 = 17 / 2 h

cross multiply

153 × 2 = 17h

306 = 17h

divide both sides by 17

h = 306 / 17

Therefore,

h = 18

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$7.50x10 ANSWER PLEASE I FORGOT ABOUT THIS NOW IM LEARNING IT AGAIN

Answers

Answer:

$75

Step-by-step explanation:

basically 7.50 x 10

What is the area of a triangle whose vertices are R(3, 4), S(6, 2), and T(7, 10)?



Enter your answer in the box.

[ ] units²

Answers

The area of the triangle is 13 square units.

We are given the coordinates of the vertices of a triangle.The coordinates of the vertices of the triangle are R(3, 4), S(6, 2), and T(7, 10).We need to find the area of the triangle.We know the coordinates of all the vertices.We will use the formula in coordinate geometry.Let the area of the triangle be "A".The equation can be written as given below :A = (1/2)[x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]A = (1/2)[3(2 - 10) + 6(10 - 4) + 7(4 - 2)]A = (1/2)[3(-8) + 6(6) + 7(2)]A = (1/2)[-24 + 36 + 14]A = (1/2)(26)A = 13The area of the triangle is 13 square units.

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Directions: Write the slope form of the equation with the given information.

13) through (3,4) and (5,-2)

Answers

Answer:

y=-3x+13

Step-by-step explanation:

step one you will need to find the slope by the Y2 minus y1 all over x2 minus X1 formula. so you would have -2 - 4 all over 5 - 3 . you will get -6 over 2 which is equal to -3 . that means that -3 is the slope .

Step 2 you can find the equation with the point slope form formula . the point slope form formula is y-y1=m(x-x1). by substituting your values into these equation you can find the equation of this line . you can substitute any point into it as long as it is on the line . let's use (3,4) where 3=x1 and 4=y1.

step 3. simplify. you will get y-4=-3(x-3). keep in mind I substituted -3 into the equation because -3 is the slope.

you can simplify this if you want to . you will get y=-3(x-3)+4. it becomes through foiling, y=-3x+9+4. it simplifies to y=-3x+13.


Aislinn bought a new car. After 8 months, the odometer read 14,010 miles. How many miles did
Aislinn average per month on her car?
OA. Aislinn drove an average of 876 miles per month.
OB. Aislinn drove an average of 1,168 miles per month.
OC. Aislinn drove an average of 1,401 miles per month.
D. Aislinn drove an average of 1,751 miles per month.
When
out their o
19 milon
4
if their

Answers

d) Aislinn's average per month on her car is 1,751 miles per month.

How to find the average speed?

The average speed is calculated by dividing the total distance traveled by the total time it took to travel that distance. Speed is the rate at which something moves at any given time.

Average speed is the average rate of speed over the course of a journey. Velocity exists as the directional speed of a moving object as an indication of its rate of change in position as observed from a specific frame of reference and measured by a specific time standard.

Given,

After 8 months, the odometer read 14,010 miles.

Solution:

t = 8,

d =  14,010 miles,

s = ?

s = d/t

s =  14,010/8

s = 1751 miles/month.

Aislinn drove an average of 1,751 miles per month.

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This double number line shows the distance a car travels over a period of time.
0
0
20
30
OB. 30
OC. 60
40
OD. 40
60 80 100
At what rate is the car traveling in maes per hour (mph)?
O A 20
Miles
60 90 120 150
Minutes

Answers

The rate at which the car is traveling is given as  1.5 miles/minute.

Given that,

This double-number line depicts the overall distance traveled by a car. It is necessary to determine the car's speed in miles per hour (mph).

What is Distance?

Distance is referred to as an object moving between two points in time at a specific speed.

here,

The distance traveled = 150 miles

Time taken = 100 minutes

Rate = distance/time

Rate = 150 / 100

Rate = 1.5 miles per minute

Thus, The rate at which the car is traveling is given as  1.5 miles/minute.

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In math class, the girl to boy ratio is 8 to 6. If there are 24 girls in the class how many boys are there

Answers

24 / 8 = 3
6 x 3 = 18 boys
Other Questions
A 1200 kg bovine accelerates uniformly from a speed of 5.0 m/s to 12.0 m/s. During this acceleration it travels 94 m. What is the magnitude of the net force acting on the bovine? if 4 tickets costs$40, how much does 8 tickets cost? 3. Use the equation V = abc where a = 5, b = 10, c = 3 to find the value of V.Show your work here:Choose the correct answersV = 120V = 50V = 150V = 60 if two wind-driven waves moving from different directions came together in such a way that the wave crests overlap to form a single crest, what would happen to the size of the waves? the newly formed wave would Tony is registered for MAT-003, which meets from 8:00 AM 9:15 AM, Monday Thursday. How many total minutes does his class meet Monday ThursdayTony is registered for MAT-003, which meets from 8:00 AM 9:15 AM, Monday Thursday How many hours does Tonys class meet Monday Thursday? whats a oasis in the deserts of old people When used together correctly, verbal and nonverbal communication can convey a rich and multilayered communication experience. A. True B. False Lobbying and Lobbyists Can someone please help!). What is a Lobbyist?2). What is Lobbying? 3). How do Lobbyists provide useful information to government officials?4). How do Lobbyists help to draft bills?5). What are the three qualifications to be considered a Lobbyist under Federal Law? find the x and the y intercept there should be 2 ordered pairs for the each solution The prism below has a base that is a regular pentagon whose perimeter is 25 feet and whose area is 43 squarefeet. The height of the prism is 11 feet. Which of the following is the volume of the prism? Explain why Noah decided to become a part of the black community. In February, Robbins and Myers, Inc. executed a 2-for-1 split. Janine had 470 shares before the split. Each share was worth $69.48.a. How many shares did she hold after the split? b. What was the post-split price per share? c. Show that the split was a monetary non-event for Janine. Vectors and Complex numbers Part AYou drive 30 miles due east in a half hour. Then, you turn left and drive 30 miles north in 1 hour. What are your average speed andvelocity, and what are the rectangular and polar coordinates of your position?Part BYou have already travelled 30 miles east and then 30 miles north. To get back to the start, you travel 30 miles west in 1 hour and then 30 minutes south in a half hour. What are your average speed and average velocity for the whole rally? What do you like about sunsets at the sand? Write 3 things you like about sunsets at the beach)(please be specific and add details) The setting for "The Lady, or the Tiger?" takes place in a(n)-A castle in medieval FranceB fictional kingdomCactual lost civilizationD city in Ancient Rome What items does Hamilton propose raising or enacting new duties or taxes on? How does this anticipate the current-day use of "sin taxes" or federal taxes on items such as tobacco? Why did he choose to single out these items? with respect to types of assessments, the thematic apperception test is to the beck depression inventory as ______ is to ______. Now you are ready to write your answer. Using your claim and supporting details, write an argumentative paragraph.Answer this question: Which of the rights included in the English Bill of Rights has the most influence on our government?Power restriction of the government and freedom of speech are the rights that included in the...Sample response: The most important right in the English Bill of Rights is that the government should protect the right to free speech: "The freedom of speech and debates or proceedings in Parliament ought not to be impeached or questioned in any court or place out of Parliament." Freedom of speech stops powerful people from taking control of the government and allows people to feel comfortable with speaking up for what they believe in. It also gives people the opportunity to hear different sides of an argument and to perhaps change their own opinion. While other rights are important, the right to free speech affects all and is one that is cherished by all. For this and the above reasons, I believe the right to free speech is most important to my government today.Did you remember to include the following things in your paragraph?a strong, clearly defined claimdetails that support your positionresponses to any possible counterargumentsa concluding sentence In most cases, serving which role will disqualify a person for appointment as a certifying officer?. i need help with this