Which of the following is a valid conclusion for the problem x2 + 6x + 8 = 0?

Answers

Answer 1

Answer:

x = -2 or x = -4

Step-by-step explanation:

Step 1 : Middle term break

x^2 + 6x + 8 = 0

x^2 + 4x + 2x + 8 = 0 (4+2 is equal to six and 4x2 is equal to  8)

x(x + 4) + 2(x +4)

(x+2) (x+4)

x= -2 or x= -4

!!


Related Questions

Point E is the midpoint of AB and point F is the midpoint of CD .



Which statements about the figure must be true? Check all that apply.


AB is bisected by . CD

CD is bisected by . AB

AE = 1/2 AB

EF = 1/2 ED

FD= EB

CE + EF = FD

Answers

Answer:

# AB is bisected by CD

# AE = 1/2 AB

# CE + EF = FD

Step-by-step explanation:

* Lets talk about the mid point

- The mid-point of a segment is divided the segment into two

  equal parts

- The figure has line segment AB

- E is the mid-point of AB

∴ E divides the line segment AB into two equal parts

∴ AE = EB

AE = 1/2 AB ⇒ (1)

- Any line passes through the point E will bisects the line segment AB

AB is bisected by CD ⇒ (2)

∵ F is the mid-point of CD

∴ F divides the line segment CD into two equal parts

∴ CF = FD

∵ Point E lies on CF

∴ CE + EF = CF

∵ CF = FD

CE + EF = FD ⇒ (3)

* There are three statements must be true (1) , (2) , (3)

# AB is bisected by CD

# AE = 1/2 AB

# CE + EF = FD

Answer:1,3,5

Step-by-step explanation:

Matti built a greenhouse in his backyard as shown below

Answers

well, Matti's house is a triangular prism, and to get the volume of it, we simply get the area of the triangle upfront and multiply by its length of 15.

[tex]\bf \stackrel{\stackrel{\textit{area of }}{\textit{triangular front}}}{\cfrac{1}{2}(7)(7)}\times \stackrel{\textit{length}}{15}\implies \cfrac{49}{2}\cdot 15\implies 367.5~ft^3[/tex]

Answer:

Option B.

Step-by-step explanation:

Volume of a green house in the backyard which in the shape of triangular prism V = (Area of base)×(Height)

In the figure attached,

Height of the triangular base = 7 ft

Base = 7 ft

Area of the triangle = [tex]\frac{1}{2}(7)(7)[/tex]

Area = [tex]\frac{49}{2}=24.5[/tex] ft²

Therefore, volume of the prism = 24.5 × 15

                                                    = 367.5 ft²

Option B. is the correct option.

         

. Show that square of any positive integer can not be of form 7q + 3 or 7q+5or 7q + 6, for any integer q

Answers

Step-by-step explanation:

7q + 3 or 7q+5 or 7q + 6

solve for q

7q + 3 =

7q + 3 -3 =-3

7q = -3

7q/7 = -3/7

q = -3/7

7q + 3 =

7q + 6 -6 =-6

7q = -6

7q/7 = -6/7

q = -6/7

Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=12

Y=7 when x=3

Answers

So x= 3, y= 7

3/7 = 12/21

Which number times 3 is equal 12
3(4) = 12
So 7(4) = 28

X= 12 , y= 28

what is the factorization of the trinomial below -x^2-2x+48

Answers

Answer:

Step-by-step explanation:

In some fashion or another, the two factors are 6 and 8. But how are they put together?

-(x^2 + 2x - 48)

The 8 will be plus. That would make 2x plus. It should factor like this.

-(x + 8)(x - 6)

To check it, we should find the roots and post the graph. The graph will be upside down. That's what the minus outside the brackets  does.

x + 8= 0

x = - 8

=======

x - 6 = 0

x - 6 + 6 = 6

x = 6

What is the midpoint of the segment below?
(2, 3)
(-3.-2)

Answers

The formula for finding the midpoint of a line segment is[tex](\frac{x1+x2}{2}, \frac{y1+y2}{2})[/tex].  Plug in and solve:

[tex](\frac{2-3}{2} , \frac{3-2}{2})[/tex]

(-1/2, 1/2)

(-0.5, 0.5)

Hope this helps!!

The midpoint of the segment is (-0.5, 0.5)

What is midpoint of the segment?

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Given points: (2, 3) and (-3.-2).

The formula for midpoint is

(x1+x2/2, y1+y2/2)

= (2-3/2, 3-2/2)

=(-1/2, 1/2)

= (-0.5, 0.5)

Hence, the midpoints of the segment is  (-0.5, 0.5).

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There are 25 students in a class. Sixteen of those students are boys. What percent of the class are girls?

The percent of girls in the class is %

Answers

Hello There!

WHAT WE KNOW  25 students in a class and 16 out of the 25 students in the class are girls. There are 9 boys in the class because "25-9=16"

HOW TO SOLVE If we know that 9 out of the 25 students in the class are girls, we can represent it as the fraction [tex]\frac{9}{25}[/tex]. Next, we divide 35 by 9 to get a quotient of 0.36 and then multiply by 100 to get our percent of girls in the class which is 36%

HAVE A GREAT DAY!

To find the percentage amount of girls in the class, we need to first find the amount of girls in the class.

Since 16 of the 25 students are boys, the rest must be girls. Subtract 16 from 25 to find the amount of girls in class.

25-16=9

Now, to find out what percent of 25 9 is, divide 9 by 25.

9/25= .36

The percentage of girls in the class was 36%.

Hope this helps!

if you run for 4 hours at 8 miles and walk 8 hours at 2 miles how far will you have gone at the end of 12 hours?

Answers

Answer:

4 times 8 is 32 then 8 times 2 is 16 then add them together

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

48 miles

Step-by-step explanation:

4 times 8 equals 32 plus 8 times 2 equals 16 add them up equals 48

Please Help Finial Test tomorrow Thank you!

Answers

Answer:

The area is  522.935 square inches.

Step-by-step explanation:

A trapezoid's area is calculated as follows: h(b1+b2)/2

Plugging numbers in gives 34.3+12.6=46.9

so now all that's left is to multiply 22.3 and 46.9, and divide by 2.

This gives 522.935

Hope this helps!

Answer:

522.935 square inches

Step-by-step explanation:

OPTION 1:

First, the area of the rectangle in the center is 12.6*22.3 (w*l or b*h), or 280.92

Second, the area of the two triangles on the side are right triangles since we made a rectangle in the center, so the area of that is (base2 - base1)*h*1/2, or (34.3-12.6)*22.3*1/2=21.7*22.3*1/2=483.91*1/2=241.955

Therefore, the area is 280.98+241.955 or 522.935 square inches

OPTION 2:

Using the formula to find the area of a trapezoid, you would do ((base1 + base2)/2)*h, or ((12.6+34.3)/2)*22.3 which is 522.935 square inches

Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 years ago.

If Jenna’s age is x, which equation represents the situation? How many solutions does the equation have? (Only 1 choice of answer)

A.
x + 5 = (5 − x) − 5, which has one solution

B.
x + 5 = (x + 5) − 5, which has infinitely many solutions

C.
x + 5 = (x + 5) − 5, which has no solution

D.
x + 5 = (5 − x) − 5, which has infinitely many solutions

E.
(x + 5) + 5 = (x + 5) + 5, which has infinitely many solutions

Answers

Answer:

x + 5 = (x + 5) - 5, which has no solution ⇒ answer C

Step-by-step explanation:

* Lets study the situation in the problem

- Jessica is 5 years older than her sister Jenna

- After five years Jenna's age will be as old as Jessica was five years ago

- Jenna's age now is x

* Lets change all information above to equation

∵ Janna's age now is x

∵ Jessica is 5 years old than Janna

∴ The age of Jessica now is x + 5

- After 5 years Janna's age will be add by 5 years

∵ Her age now is x

∴ Her age after 5 years will be x + 5

- From 5 years ago Jessica's age was her age now mins 5 years

∵ Her age now is x + 5

∴ Her age from 5 years ago is (x + 5) - 5

∵ Janna's age after 5 years = Jessica age from 5 years ago

∴ x + 5 = (x + 5) - 5

- Lets solve the equation to know how many solution

∵ x + 5 = x + 5 - 5 ⇒ add the like terms

∴ x + 5 = x ⇒ subtract x from both sides

∴ 5 = 0

- But 5 ≠ 0, the two sides of the equation not equal each other

∴ There is no solution for this equation

* The equation is x + 5 = (x + 5) - 5, which has no solution

Answer:

C x + 5 =(5 - x) - 5

Step-by-step explanation:

Write the expression in complete factored
form.
5n_(c - 3) - n(C - 3) =

Answers

Answer:

(c-3) (4n)

Step-by-step explanation:

5n(c - 3) - n(C - 3) =

Factor out (c-3) from each term

(c-3) (5n-n)

Simplify the 2nd term

(c-3) (4n)

When rolling two dice , there are blank different ways to roll at least one 4.

Answers

Answer:

[tex]3[/tex]

Step-by-step explanation:

These [tex]3[/tex] ways are:

The first die showing a 4 and the second die showing a different numberThe second die showing a 4 and the first die showing a different numberBoth dice showing 4s

Answer:

11

Step-by-step explanation:

At least one means 1  being 4 or 2 of them being 4 this in case.

You could set a table:

1| 1  2  3  4  5   6

2| 1  2  3  4  5   6

3| 1  2  3   4  5   6

4| 1  2  3   4  5   6

5| 1  2  3   4   5  6

6| 1  2  3   4   5  6

There are 11 different ways to get at least one 4.

See this:

(first dice, second dice)

(1,4)

(2,4)

(3,4)

(4,4)

(4,5)

(4,6)

But there is also

(4,1)

(4,2)

(4,3)

(4,4) already counted earlier so don't count this one again

(4,5)

(4,6)

Marlena has 3 straws. Two straws have the lengths
shown. She does not know the length of the shortest
straw, but when she forms a triangle with all three, the
triangle is obtuse. Which are possible lengths of the
shortest straw? Check all that apply.
5 inches
6 inches
7 inches
8 inches
9 inches​

Answers

Answer:

5 6 7 is the correct answer

Step-by-step explanation:

The possible lengths of the shortest straw are 5 inches, 6 inches, 7 inches and 8 inches

How to determine the possible lengths of the straw

The lengths of the two straws are given as: 9 inches and 12 inches

Represent the length of the shortest straw with x.

So, we have the following inequality

[tex]x + 9 > 12[/tex]

Subtract 9 from both sides

[tex]x > 3[/tex]

This means the length of the shortest straw is greater than 3 inches

Hence, the possible lengths are 5 inches, 6 inches, 7 inches and 8 inches

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What type of triangle has side lengths 2, √12, and √19?

Answers

Answer:

Is an scalene obtuse triangle

Step-by-step explanation:

step 1

Find the type of triangle by the measure of the interior angles

we know that

If applying the Pythagoras Theorem

[tex]c^{2}=a^{2}+b^{2}[/tex] ----> we have a right triangle

[tex]c^{2} > a^{2}+b^{2}[/tex] ----> we have an obtuse triangle

[tex]c^{2}< a^{2}+b^{2}[/tex] ----> we have an acute triangle

where

c is the greater side

we have

[tex]c=\sqrt{19}\ units[/tex]

[tex]a=2\ units[/tex]

[tex]b=\sqrt{12}\ units[/tex]

substitute

[tex]c^{2}=(\sqrt{19})^{2}=19[/tex]

[tex]a^{2}+b^{2}=(2)^{2}+(\sqrt{12})^{2}=16[/tex]

so

[tex]19 > 16[/tex] -----> [tex]c^{2} > a^{2}+b^{2}[/tex]

we have an obtuse triangle

step 2

Find the type of triangle by the measure of the sides

we have that

The measure of its three sides is different

therefore

Is an scalene triangle

Archie can buy 5 buckets of popcorn and 2 drinks for $16.25. Terry can buy 3 buckets of popcorn and 1 drinks for $9.50. Assume that all buckets of popcorn are the same price and all drinks are the same price.

Answers

Answer:

The cost of one bucket of popcorn is $2.75

The cost of one drink is $1.25

Step-by-step explanation:

Let

x ----> the cost of one bucket of popcorn

y ----> the cost of one drink

we know that

5x+2y=16.25 -----> equation A

3x+y=9.50

y=9.50-3x ----> equation B

Solve the system of equations by substitution

Substitute equation B in equation A and solve for x

5x+2(9.50-3x)=16.25

5x+19-6x=16.25

6x-5x=19-16.25

x=$2.75

Find the value of y

y=9.50-3x

y=9.50-3(2.75)=$1.25

therefore

The cost of one bucket of popcorn is $2.75

The cost of one drink is $1.25

Two ships leave port at the same time, Ship X is heading due north and Ship Y is heading due east. Thirteen hours later they are
650 miles apart. If the Ship X had travels 520 miles from the port, how many miles will Ship Y travel?
A. 520 miles
OB. 325 miles
C. 455 miles
D. 390 miles​

Answers

Answer: D


Explanation:

6. A circle has an area of 78.5 square inches.
What is the radius of the circle?​

Answers

14.5 nfkdoeofkvkodoekckdksoocoaknc

Answer:

The radius is equal to 5 inches or 12.7 cm

Step-by-step explanation:

Which of the following transformations will result in an image that maps onto
itself?
A. rotate 90 degrees counterclockwise and then reflect across the y
axis

B. reflect across the x-axis and then reflect across the y-axis

c. rotate 90 degrees counterclockwise and then translate 4 units up

D. reflect across the x-axis and then reflect again across the x-axis

Answers

I agree. It reflects A G A I N

"Reflect across the x-axis and then reflect across the y-axis" will result in an image that maps onto itself. The correct option is B.

What is transformations?

Transformations in mathematics refer to the process of changing the position, size, or shape of a geometric figure in a coordinate plane.

When a figure is reflected across the x-axis, the y-coordinate of each point on the figure is multiplied by -1, while the x-coordinate remains unchanged.

Similarly, when a figure is reflected across the y-axis, the x-coordinate of each point on the figure is multiplied by -1, while the y-coordinate remains unchanged.

When we reflect a figure across the x-axis and then across the y-axis, we essentially multiply the x-coordinate of each point by -1 and then the y-coordinate by -1.

This corresponds to a 180-degree rotation around the origin. Because a 180-degree rotation maps a figure onto itself, this transformation will produce an image that also maps onto itself.

Thus, the correct option is B.

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16 is 64% of what number

Answers

Answer:

25

Step-by-step explanation:

Is means equals and of means multiply

16 = 64% * W

Change to decimal form

16 = .64 * W

Divide each side by .64

16/.64 = .64W/.64

25 = W

Answer:

25

Step-by-step explanation:

We can model this question with:

16 = 0.64x

x represents "what number."

0.64x = 16

Divide 0.64 from both sides

0.64x ÷ 0.64 = 16 ÷ 0.64

16 ÷ 0.64 = 25.

Therefore, 16 is 64% of 25.

Kelli started keeping a reading log. the first night, she read 77 pages. Every day she reads 35 pages more. If this pattern continue, how many pages will she have read by days 53?

Answers

Final answer:

To find out how many pages Kelli will have read by day 53, we need to calculate how many pages she reads each day and add them up.

Explanation:

To find out how many pages Kelli will have read by day 53, we need to calculate how many pages she reads each day and add them up. On the first night, Kelli read 77 pages. Every day after that, she reads 35 pages more than the previous day. So each day, the number of pages she reads is increasing by 35. To find out how many pages she will have read by day 53, we can use the formula:

Total Pages Read = (First Night's Pages) + (35 * (Total Number of Days - 1))

Plugging in the values, we have:

Total Pages Read = 77 + (35 * (53 - 1))

Total Pages Read = 77 + (35 * 52)

Total Pages Read = 77 + 1820

Total Pages Read = 1897

In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police
station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police
station and the fire station?
miles

Answers

Answer:

Tthe distance between the police station and the fire station  is 4 miles

Step-by-step explanation:

Let's call x the distance between the library and the police station

Let's call z the distance between the police station and the fire station

We know that:

[tex]x = 5[/tex] miles

The distance (x) between the library and the police station is 3 miles less than twice the distance (z) between the police station and the fire station

This is:

[tex]x = 2z-3[/tex]

We wish to find the distance z.

Then we equate both equations and solve for the variable z

[tex]5 = 2z -3\\\\2z = 5+3\\\\2z = 8\\\\z =\frac{8}{2}\\\\z = 4\ miles[/tex]

Answer:

c) 4 miles

Step-by-step explanation:

Write an equation of the line given the two points below (Write your equation in slope-intercept form, y=mx+b): (-4, 4) and (6, -4)

Answers

[tex]\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-4}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-4-4}{6-(-4)}\implies \cfrac{-8}{6+4}\implies \cfrac{-8}{10}\implies -\cfrac{4}{5}[/tex]

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-\cfrac{4}{5}[x-(-4)]\implies y-4=-\cfrac{4}{5}(x+4) \\\\\\ y-4=-\cfrac{4}{5}x-\cfrac{16}{5}\implies y=-\cfrac{4}{5}x-\cfrac{16}{5}+4\implies y=-\cfrac{4}{5}x+\cfrac{4}{5}[/tex]

If x =1/2 and y =-x which of the following is equal to x-y

Answers

Answer:

x=-1/2

y=-1/2

-1/2-(-1/2)

0

Step-by-step explanation:

Which statement is true about f(x)=-6x+5-2

Answers

Not enough information (attach the statements).

Maya is mailing packages. Each small package costs her $2.90 to send . Each larded package costs her $4.50. How much will it cost her to send 6 small packages and 4 large packages

Answers

Answer:$35.40

Step-by-step explanation:

1. $4.50 multiplied by 4 is $18

2. $2.90 multiplied by 6 is $17.4

3. $18+$17.4=$35.40


A string of decorative lights is 24 feet long. The first light on the string is 16 inches from the plug. The lights on the string are spaced 4 inches apart.

How many lights are there on the string?

Answers

In older series light strings, if a bulb burns out, the string goes dark as the circuit is broken, with each bulb operating at 3 V normally. In modern strings with short-circuiting bulbs, the rest of the lights remain lit and each bulb would then operate at approximately 3.08 V if one burns out.

When strings of holiday lights are wired in series, the entire circuit is affected if one bulb fails. In older versions, if a bulb burns out, it acts like an open switch, causing the entire string of lights to go out as the electrical circuit is broken. Each of the 40 identical bulbs in a string operating on 120 V would have a normal operating voltage of 120 V / 40 = 3 V per bulb.

In newer versions of holiday lights, where bulbs short circuit when they burn out, the string continues to operate even when one bulb fails. However, the total voltage of the string remains the same, so the voltage gets redistributed among the remaining bulbs. If one bulb out of 40 burns out, you then have 39 bulbs through which the 120 V is distributed, giving an operating voltage of 120 V / 39 ≈ 3.08 V per bulb.

If f(x) = -4x+3 and g(x) = 3x^2+2x-4 find (f+g)(x).

Answers

Answer:

(f+g)(x)= 3x^2 -2x-1

Step-by-step explanation:

f(x) = -4x+3

g(x) = 3x^2+2x-4

(f+g)(x)= -4x+3 +3x^2+2x-4

Combine like terms

(f+g)(x)= 3x^2 -2x-1

the slope pf a line is -8/7. Write a point slope equation of the line useing the coordinates of the labeled point (4,4)​

Answers

Answer:

[tex]\large\boxed{y-4=-\dfrac{8}{7}(x-4)}[/tex]

Step-by-step explanation:

The point-slope equation of a line:

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

m - slope

We have the slope m = -8/7, and the point (4, 4). Substitute:

[tex]y-4=-\dfrac{8}{7}(x-4)[/tex]

Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeter to 0.5 meter to draw the scale diagram. If the scale length of the badminton court is 26.8 centimeters and the scale width is 12.2 centimeters, what is the actual area of the court?

Answers

Answer: 13.4 meters by 6.1 meters

Step-by-step explanation: Applying the scale to the given measurements gives us: 13.4 meters long and 6.1 meters wide

50 POINTS!!! pls help ASAP!!! 12. Building codes regulate the steepness of stairs. Homes must have steps that are at least 13 inches wide for each 8 inches that they rise.

a. Discuss how to find the slope of the stairs.
b. Describe how changing the width or height affects the steepness of the stairs.

Answers

Answer:

Slope tells you about the steepness of a line. It can is the ration of vertical change to horizontal change and you can solve this by using the slope formula:

[tex]m=\dfrac{\triangle y}{\triangle x}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

a. So in your case, starting from the bottom, the slope is:

[tex]m=\dfrac{8}{13}[/tex]

If you want to use coordinates, you can think of the first point (bottom of the stairs} would be at the point of origin (0,0). The next point would be at the top of the first stair 13 inches wide (horizontal or x) and 8 inches high (vertical or y)

So the coordinates of the two points would be:

(0,0) and (13, 8)

Using the formula we would have:

[tex]m=\dfrac{\triangle y}{\triangle x}=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{8-0}{13-0}=\dfrac{8}{13}[/tex]

b. Looking at the answer above, you can see that the slope with increase if the vertical change is greater, so if you increase the height of the stairs, the stair would be steeper. The opposite is true if you would increase the width.

However, if you proportionally increase the width and the height, then the slope will remain the same.

Attached is how the graph of this would look like.

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It supports the idea that life is short and death is permanent Need help please someone answer quickly Which of the following BEST summarizes the idea represented by this graph? A. Billy should choose 1/3 of 3/4; hell earn 1/15 more. B. Billy should choose 1/3 of 3/4; hell earn 1/20 more. Which of the following reactions will not occur as written? Which of the following reactions will not occur as written? Sn (s) + 2AgNO3 (aq) 2Ag (s) + Sn(NO3)2 (aq) Zn (s) + Pb(NO3)2 (aq) Pb (s) + Zn(NO3)2 (aq) Co (s) + 2HI (aq) H2 (g) + CoI2 (aq) Mg (s) + Ca(OH)2 (aq) Ca (s) + Mg(OH)2 (aq) Co (s) + 2AgCl (aq) 2Ag (s) + CoCl2 (aq) In her research for The Second Shift, Arlie Hochschild interviewed married couples to find out how they dealt with changing family roles as more women entered the workforce. What advantages came from her decision to use interviews as a research method?A. It ensured that the respondents were always honest and forthcoming about their family lives and marital roles.B. It allowed her to gather direct quotations and construct an intimate portrait of married couples.C. It allowed for a large group of people to be included in the study.D. It created both a control group and an experimental group and allowed Hochschild to compare them. How does the radius of a nitrogen ion with a 3 charge compare to that of neutral nitrogen? Simplify this expression. 3w+7-5r+2-r Major river of southeast asia flowing through laos thailand vietnam and cambodia Read a sentence from the first draft of a document-based essay on the persecution of Jews in Nazi Germany.Hitler announced a boycott of Jewish-owned businesses.Which details would provide helpful factual support for this sentence? Check all that apply.the date Hitler made the announcementthe names of all German business ownersa quote from Hitlers announcementthe reaction of Jewish business ownersthe types of businesses that were boycottedthe names of popular German goods in the 1930sPlz help. I will give you brainliest What is the perimeter of an equilateral triangle if each side is (x+3)? Write as a simplified expression Match the following items 1. Rr 2. rr3. Identical alleles 4. Unlike alleles 5. RR ()homozygous, recessive()homozygous definition()heterozygous, dominant cell ()heterozygous definition () homozygous, dominant cell Given A = {(1, 3)(-1, 5)(6,4)}, B = {(2,0)(4, 6)(-4,5)(0, 0)) and C = {(1, 1)(0, 2)(0, 3)(0, 4)(-3,5)}, answer the following multiplechoice question:From the list of sets A, B, and C, state the domain of set B.Domain of set B: {0, 6,5}Domain of set B: {2, 4,-4, 0}Set B does not have a domain Jillian spent $52 at the mall. She bought 3 shirts and a pair of pants. The shirts were all the same price. The pants cost $22. What was the price of each shirt? Use x to represent the shirt's price. Read the excerpt from Strychnine in the Soup, in which Mr. Mulliner explains the ending of a mystery novel to a bar patron who is anxious to know the conclusion of the story. The plumber forgot his snake and had to go back for it, explained Mr. Mulliner. I trust that this revelation will prove sedative. I feel a new man, said the Draught Stout. Id have lain awake worrying about that murder all night. Explain how a student who did not know the meaning of sedative could infer its definition? HELPPPFifteen-year-old Kwan sat on a large boulder on the rocky shore and watched her seven-year-old brother, Min, race along the beach close to the waters edge. The handmade kite, streaming high in the air behind him, created a striking image against the vivid blue sky. Occasionally, Min called out, Kwan, look at me! Im flying! Im flying! She beamed and waved at him, urging him on in his glee. She recalled the day her parents first brought home the little bundle from the hospital, the first boy in the family, making her the happiest big sister ever. The family had had a new baby to care for and cherish, and she had a precious little brother to shower with love and attention. Min brought joy and delight to the whole household, and his presence completed the family.Kwan smiled again as she watched him run along, and she felt great contentment at the pleasure he took in flying the kite they had made together. Ever since Father had taken Min to the Korean Kite Festival, he had begged for a kite of his own. The multicolored dragons, birds, and box kites with their colorful tails and plumes appeared to enchant Min as he watched them soar and race in the clear blue sky. He stood mesmerized by the panoply of colors. Someday, I will race a kite in the festival! Min stated with determination. When Min made up his mind that a kite would be the perfect summer project for him and Kwan, she was surprised. I dont want a kite-making kit, he informed their father. I want to build it myselfwith Kwans help. Kwan initially wondered why Min included her in his quest for a kite, but she quickly realized that her clever brother had correctly surmised that their father would more likely approve the request if Mins big sister were there to help him. How could Kwan refuse?Kwan gazed out at her brother and heard his shrieks of delight as he tried to direct their marvelous flying creation. She watched it wheel, spin, and divea wild, colorful bird putting on an aerial display. Its gold and red crepe-paper wings fluttered in the air, mimicking the flight of a predatory bird surveying the landscape for prey. It swooped and dived, perhaps discovering a possible meal, and then went airborne again to avoid the rocky terrain below. Min was the falconer, guiding his bird on its path through the sky, not yet ready to call it back to the ground. But Kwan grew concerned when she looked out at the dark, threatening clouds beginning to roll in off the water. When she saw the streaks of lightning within the cloud formation, she pointed to the distant storm and called out to her little brother to bring in the kite. Min nodded and rolled in the kite string, bringing his bird home. Lets go, Kwan told her brother and put her arm around him to fold him safely under her wing as they both held onto the kite. Its time to go home.How does the author best develop the theme that with determination, one can achieve a goal? A-The author uses an extended metaphor to show how Min successfully builds a kite that flies like a colorful bird. B-The author uses a metaphor to compare Kwan to a mother bird, protecting her young one from the thunderstorm.C-The author uses imagery to show how the kite mimics a predatory bird under Min's careful direction. D-The author uses personification to show how Min's kite swoops and dives in the air to avoid the rocks below it.