What is the x-intercept of the graph of 3x + 12 = -6

Answers

Answer 1

Answer:

It's -6. She did a bunch of weird work under my answer.

Step-by-step explanation:

Answer 2
Final answer:

The x-intercept of the graph of the equation 3x + 12 = -6 can be found by solving for x. Performing the necessary operations we get x=-6, thus, the x-intercept is -6.

Explanation:

To find the x-intercept of the graph of the equation 3x + 12 = -6, let's first solve the equation for x. The x-intercept is the value of x where the graph intersects with the x-axis, this is the point where y = 0. By rearranging the equation, we can first subtract 12 from both sides to get 3x = -18, then divide both sides by 3 to get x = -6. So, the x-intercept of the graph is -6.

Here, we haven't needed to use information about the slope or the y-intercept, which do not affect the x-intercept. The slope of the line determines its steepness and direction, while the y-intercept determines where it crosses the y-axis. These shape the line but will not change where it crosses the x-axis.

Learn more about x-intercept here:

https://brainly.com/question/14180189

#SPJ11


Related Questions

Remus is writing a book. If he wrote 34 chapters in 13 months, how long should it take Bob to write another chapter?

Answers

I love unit rate 13/34=0.38 months to write 1 chapter or write 2.62 in one month (34/13)

Can you please find tan z

Answers

If we are talking trigonometry, the answer is 24/32. If they want you to simplify your answer it would be 3/4.

What is formula for following geometric sequence -5,-10,-20,-40

Answers

Answer:

x = -5 * (2)^(n-1)

Step-by-step explanation:

If we look a the supplied n elements of the sequence, and we divide each of them by -5.

1 = -5, -5/-5 = 1

2 = -10, -10/-5 = 2

3 = -20, -20/-5 = 4

4 = -40, -40/-5 = 8

We realize that we have all the powers of 2 there.

So the formula will start with -5 (the first element), then multiplied by a power of 2.

[tex]x = -5 (2)^{n-1}[/tex]

We can verify for the 4th element, where n = 4:

[tex]x = -5 (2)^{n-1} = -5 (2)^{4-1}  = -5 (2)^{3}  = -5 * 8 = -40[/tex]

Answer:

x = -5 * (2)^(n-1)

Step-by-step explanation:

Need correct answer ASAP please

Answers

Answer:

C = 16pi

Step-by-step explanation:

Since we are evaluating for the circumference, we plug in the r. Since r=8, we get 2*pi*8 or 16pi.

answer should be C gl btw

A talk driver charges $3.50 per mile driver gives a 10mile ride a 5.5 mile ride and a 19 mile ride.he then spends $50 to fill up the gas tank before giving a final ride of 26 miles write a numeric expression to represent the dollar in amounts the driver had after each action in order.then find out how much money he had after the last ride if he started with $0

Answers

Answer:

3.50×10 +3.50×5.5 +3.50×19 -50 +3.50×26$161.75

Step-by-step explanation:

You want an expression representing the cash flow of a taxi driver after giving three rides, filling the gas tank, then giving one more ride.

Income per ride

At $3.50 per mile, the driver will have income that is $3.50 multiplied by the number of miles for the ride. These income amounts are added.

Outflow

A payment of $50 for gas is subtracted from the driver's income.

Net income

The desired expression is ...

  3.50×10 +3.50×5.5 +3.50×19 -50 +3.50×26

The value of the expression is $161.75.

The driver had $161.75 after the last ride.

Write an equation for the line parallel to the given line that contains C.
Cleft parenthesis 3 comma 6 right parenthesis​; y equals negative 4 x plus 5

Answers

ANSWER

[tex]y= - 4x + 18[/tex]

EXPLANATION

The given line has equation;

[tex]y = - 4x + 5[/tex]

The slope of this line is

-4

The given line is parallel to this line so it has the same slope:

[tex]m = - 4[/tex]

The equation of this line is in the form:

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

We substitute the slope and the point:

(3,6)

[tex]y-6= - 4(x-3)[/tex]

[tex]y= - 4x + 12+ 6[/tex]

[tex]y= - 4x + 18[/tex]

find the slope and write an equation with these to points (0,-2) (3,1)

plz explain

Answers

Hello There!

Slope: 1

Equation: y = x - 2

Let's start by finding the slope. To find the slope of a given equation, subtract the y values over the x values.

y1 - y2 / x1 - x2 3 - 0 / 1 - - 2 3 / 3 ⇒ 1

This means we have a slope value of 1.

Now, to find an equation. We will find the equation in slope intercept form, or y = mx + b. (In this case, m = the slope and b = the y-intercept, and x and y equal your x and y values fro a given point.)

To get the equation, we need to find the value of b, or the y intercept. To do this, we need to plug in the values we know into the equation.

we know m is the slope, and we know the slope is one so we can place that into the equation. We also know the points (0,-2) (3,1). We can place one of them into the equation for the values x and y.

1 = 1(3) + b

Now, simplify.

1 = 1(3) + b

1 = 3 + b

-2 = b

So, our y intercept is -2, we can plug that into the equation, making our final equation y = x - 2. We don't need to put y = 1x for the slope since multiplying something by 1 is doesn't change the number.

I hope this helps! I know my explanation might have been kind of confusing so if you need more help let me know in the comments !

Answer:

y = x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (3, 1)

m = [tex]\frac{1+2}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1

Note the line crosses the y- axis at (0, - 2) ⇒ c = - 2

y = x - 2 ← equation of line

Helpp I’m so bad at this topic

Answers

Answer:

alternate angles

Step-by-step explanation:

the picture shows that there is a the Transversal (When two lines are crossed by another line)

on the inner side of each of those two lines are called Alternate Interior Angles

the definition of alternate angles is if the original two lines are parallel, the alternate angles are equal.

Identify the length of line BP

A) 9.75
B) 6.75
C) 15.75
D) 9

Answers

Answer:

I believe the answer is c because 4.5 can fit in BP almost 4 times so it is most accurate sorry if I'm wrong

determine where f(x) = g(x) by graphing HELP PLEASE!!

Answers

Answer:

C: x=-4

Step-by-step explanation:

I would suggest using the website desmos.com to help you graph your equations.

As shown on the graph I posted, f(x)=g(x) at x=-4

Answer:

Step-by-step explanation:

Given are two functions f(x) and g(x)

[tex]f(x) = \frac{2}{x+3} +1\\[/tex]

and

[tex]g(x) = -|x+3|[/tex]

The two would be equal if

[tex]\frac{2}{x+3} +1=x+3 or -x-3\\\frac{2}{x+3} =x+2 /-x-4\\2=x^2+5x+6/-(x^2+7x+12)\\x^2+5x+6=0 / x^2+7x+14=0[/tex]

x=-4 or -1

Of these x=-4 is consistent as when x=-4, x<-3 hence

|x+3|= 1

So answer is -4

math help uwu,, please nd thank <3

Answers

Answer:

Step-by-step explanation:

The equation of a circle is:

(x - h)² + (y - k)² = r²

where (h, k) is the center and r is the radius.

So here, the center is (-2, 4), and the radius is 5.

Here's a graph: desmos.com/calculator/5zqdaam1w2

Team one had 4 times less people than team two. After 6 people quit team two and 12 people were transferred from team two to team one, both teams became equal. How many people were there in team one?

please help me

Answers

Answer:

There were 10 people in team one.

Step-by-step explanation:

Let x= team one.

Let y= team two

Because there four times less people in team one than in two we know that x=(1/4)y

After 6 people quit and 12 people transfer from team two, the two teams become equal. Therefore, x + 12 = y - 6 - 12.

You can then insert the initial equation for x into the second equation and know that there were 10 people in team one and 40 people in team two.

Final answer:

The process to solve this problem involves setting up an equation based on the given information and solving for x, which represents the original number of people on team one. The numerical answer is 10 people.

Explanation:

Let's denote the original number of people in team one as 'x'. Therefore, since team two had 4 times more people than team one, team two originally had '4x' people. The problem then tells us that 12 people were transferred from team two to team one and 6 people quit team two. This means that team two now has '4x - 12 - 6' people and team one has 'x + 12' people. Because both teams are equal in size after these changes, we can set these two expressions equal to each other. So, 'x + 12' is equal to '4x - 18'. Solving this equation for 'x' gives us x = 10.

So originally, team one had 10 people.

Learn more about Equation Solving here:

https://brainly.com/question/18262581

#SPJ11

If x = 5 cm, y = 12 cm, and z = 13 cm, what is the surface area of the geometric shape formed by this net?

A. 82 sq. cm
B. 270 sq. cm
C. 210 sq. cm
D. 320 sq. cm

Answers

Answer:

the answer is C.  210 sq. cm

Step-by-step explanation:

Find the area of the triangle

The area of one of the triangular faces can be found by using the formula below.  

a = 1/2 bh

a = 1/2 (5 cm) (12 cm)

a = 30 sq. cm

Since there are two triangular faces, multiply the area of one triangular face by 2. The area of two triangular faces is 60 cm2.

Next, find the area of each of the three rectangular faces using the formula, area = lw.

1st rectangle

a = lw

a =  (5 cm) (5 cm)

a = 25 sq. cm

2nd rectangle

a = lw

a = (5 cm) (12 cm)

a = 60 sq. cm

3rd rectangle

a = lw

a = (5 cm) (13 cm)

a - 65 sq. cm

Add the three rectangle areas to find a total of 150 sq. cm.

To find the surface area of the triangular prism, add the area of the two triangular faces to the area of the three rectangular faces.

60 sq. cm + 150 sq. cm = 210 sq. cm

The potential energy of an object is jointly related with the mass of the object and the height of the object. A 40-kg object is 2
meters off the ground. The potential energy of the object is 784 joules. A 10-kg object is 3 meters off the ground. What is the
potential energy of the 10-kg object?

Answers

Answer:

294 Joules.

Step-by-step explanation:

For this all you have to do is use the equation for PE or Potential Energy. Which is given by ... PE = mgh.

m = the mass in kg

g  = the accerlation due to gravity (9.8 m/s^2)

h  = the height of the object in meters.

so... 10 kg (9.8)(3m) = 294 J

Answer:

294!

Step-by-step explanation:

edge 2021 enjoy

Iteration question 6 please help

Answers

Answer:

option A

1 , 1 , 1 , 1

Step-by-step explanation:

Given in the question a function

f(x) = x²

initial value[tex]x_{0}[/tex] = -1

First iteration

f(-1) = (-1)²= 1

[tex]x_{1} =1[/tex]

Second iteration

f(1) = (1)² = 1

[tex]x_{2} =1[/tex]

Third iteration

f(1) = (1)² = 1

[tex]x_{3} =1[/tex]

Fourth iteration

f(1) = (1)² = 1

[tex]x_{4} =1[/tex]

a circle has a circumference of 6. it has an arc of length 1/3

What is the central angle of the arc in degrees

Answers

Answer:

Ф = 10°

Step-by-step explanation:

Regarding arc length, s:  s = r·Ф, where Ф is the central angle in radians and r is the radius.

We need to find the central angle, Ф, in this problem.

We know that C = circumference = 6, and that this leads to r = 6/π.

Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:

Ф in radians = 1/3  /  (6/π), or  Ф = π/18 rad.    

                                                                           π         180°

Converting this into degrees, we multiply    ------ by ----------

                                                                           18        π rad

obtaining:  Ф = 10°

Answer:

20

Step-by-step explanation:

You deposited $120 in an account with an interest rate of 4%. In how many years will the simple interest earned be $1.92?

Answers

Answer: About 5 months

Equation:

t = I / Pr

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

t = 1.92 / ( 120 × 0.04 ) = 0.4

t = 0.4 years

The time required to

accumulate simple interest of $ 1.92

from a principal of $ 120.00

at an interest rate of 4% per year

is 0.4 years (about 0 years 5 months).

Help me with 9 and 10 please! With explanation

Answers

The answer to Number 9 is D and the answer to number 10 is D because in number 9, City P is above 0 and City R is a negative number and below 0. In number 10, Point A is at -20 and Point B is 5 less. That would get you the equation -20-5. -20-5 = -25. On a number line, -25 is less than -20 and would be on the left side of Point A. Hope this helps!

Whatever he or she said is correct

The seniors on the student council bought a total of 36 plants to use in landscaping the front of the school. They bought some azaleas that cost $6 each and some lilies that cost $5 each. They spent a total of $196 on these plants. How many azaleas did the students buy?
a.) 18
b.) 16
c.) 20
d.) 5

Answers

Answer: B

Step-by-step explanation:

y = azaleas

x = lilies

6y + 5x =196 total cost

y + x = 36 total number of items

y = 36 – x

6(36 -x ) +5x =196

216 – 6x + 5x = 196

-x = 196 – 216

-x = -20

Divide by -1

X = 20 lilies

Plug into y equation

Y = 36 – 20

Y= 16 azaleas

To check

6(16) + 5(20) = 196

96 + 100 = 196

The answer is b 16 because you add the variables into the end of the numbers to identify you answer

Help please with these problems

Answers

the box is considered a prism

any prism the formula for volume is V=area of the base times height so

the first two boxes have the base of 16 plus the height of 3

so 16*3=48

48*2=96

the other box has the height of 5 so

16*5=80

in total they want the volume of all boxes so

96+80=176

answers B:)

if you need to elaborate lmk

Answer:

(B) 176 ft³

Step-by-step explanation:

Volume of the first box with 3 feet:

= 16 x 3

= 48 ft³

Volume of the second box with 3 feet:

= 16 x 3

= 48 ft³

Volume of the third box with  5 feet:

= 16 x 5

= 80 ft³

Total volume

= 48 + 48 + 80

= 176 ft³

HELP ASAP PLEASEE!!!! ​

Answers

Answer:

In the TRUE column:

- 0.65 pound of almonds costs $2.20

- the price per pound of almonds equals $2.20/0.65

That's basically the same information, presented 2 different ways, and they match the info presented in the graph.

In the FALSE column:

- 2.2 pounds of almonds cost $0.65 (nope, wrong numbers)

- Almonds cost $0.65 per pound (nope, they cost $3.38 per pound)

In the CANNOT BE DETERMINED column:

- Each bag of almonds weighs 2.2 pounds. (Cannot be verified, but it's highly unlikely since the price point on the graph is at 0.65 pounds)

Which number is an irrational number?

Answers

Answer

Square root 15

Step-by-step explanation:

When you square root the number 15 it will give you a decimal number with a lot of numbers that can't be rationalized. However the square root of 25 can be seen as 5, 1.15 is a rationalized number, 4th option can be seen 1.255555555... which is still rational.

A geometric sequence is defined by the recursive formula t1 = 64, tn =
tn - 1 / 2, where n ∈N and n > 1. The sequence is

A) -64, -16, -8, -4, -2, -1, ...
B) 64, 16, 8, 4, 2, 1, ...
C) 64, 32, 16, 8, 4, 2, ...
D) 64, 128, 256, 512, 1024, 2048, ...

Answers

Answer:

C) 64, 32, 16, 8, 4, 2, ...

Step-by-step explanation:

[tex]t_1=64\\\\t_n=\dfrac{t_{n-1}}{2}\\\\\text{Therefore}\\\\t_2=\dfrac{t_1}{2}\to t_2=\dfrac{64}{2}=32\\\\t_3=\dfrac{t_2}{2}\to t_3=\dfrac{32}{2}=16\\\\t_4=\dfrac{t_3}{2}\to t_4=\dfrac{16}{2}=8\\\\t_5=\dfrac{t_4}{2}\to t_5=\dfrac{8}{2}=4\\\\t_6=\dfrac{t_5}{2}\to t_6=\dfrac{4}{2}=2\\\\t_7=\dfrac{t_6}{2}\to t_7=\dfrac{2}{2}=1\\\vdots[/tex]

ebony wants to buy a dvd player and dvds the equation relates the total cost for dvds and dvd player and N dvds is p=20n+200 what does the number 200 in the equation represent ​

Answers

____________________________________________________

Answer:

It represents the cost of the DVD player.

____________________________________________________

Step-by-step explanation:

The reason why it represents the cost of the DVD player is because in the question, it doesn't mention anything about buying multiple DVD players. Ebony would need to buy many DVD's, but doesn't need many DVD players because ebony could use one for all of the DVD's. If you noticed in the question, it says "a DVD player," what  this means is that Ebony is only going to buy one DVD player, since it's singular (without and s at the end).

The equation is saying that she starts off with buying 1 DVD player for 200 dollars; and, she is buying n (number of DVDs) for 20 dollars each.

This shows that the 200 in the equation in the question represents the cost of the DVD player.

____________________________________________________

A sphere has a volume of 500/3 π cubic centimeters. What is the total surface area , in square centimeters, of the sphere

Answers

Answer:

[tex]\large\boxed{S.A.=100\pi\ cm^3\approx314\pi\ cm^2}[/tex]

Step-by-step explanation:

The formula of a volume of a sphere:

[tex]V=\dfrac{4}{3}\pi R^3[/tex]

R - radius

We have

[tex]V=\dfrac{500}{3}\pi\ cm^3[/tex]

Substitute and solve for R:

[tex]\dfrac{500}{3}\pi=\dfrac{4}{3}\pi R^3[/tex]        divide both sides by π

[tex]\dfrac{500}{3}=\dfrac{4}{3}R^3[/tex]          multiply both sides by 3

[tex]500=4R^3[/tex]                divide both sides by 4

[tex]125=R^3\to R=\sqrt[3]{125}\\\\R=5\ cm[/tex]

The formula of a Surface Area os a sphere:

[tex]S.A.=4\pi R^2[/tex]

Substitute:

[tex]S.A.=4\pi(5^2)=4\pi(25)=100\pi\ cm^2[/tex]

[tex]\pi\apprx3.14\to S.A.\approx(100)(3.14)=314\ cm^2[/tex]

Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation , where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent.)

$1.75
$2.06
$2.39
$3.99

Answers

Answer: First Option

The approximate price of a pint of veggies is $1.75

Step-by-step explanation:

if v represents the cost of a pint of cut vegetables and f represents the cost of a pint of cut fruits then the equation that models the cost of "v" vegetables and "f" fruits is:

[tex]hv + 2.85f = z[/tex]

Where z represents the total cost of buying "v" vegetables and a "f" pints of fruits.

h represents the cost  of a pint of cut vegetables .

We know that the cost "z" of 5 vegetables pints and 7 fruits pints is $ 28.70

So:

[tex]v = 5\\f = 7\\z = 28.70[/tex]

We substitute these values ​​into the equation and solve for h.

[tex]h(5) + 2.85(7) = 28.70\\\\5h=28.70-2.85(7)\\\\5h=28.70-19.95\\\\5h=28.70-19.95\\\\h=\frac{8.75}{5}\\\\h=\$\ 1.75[/tex]

find the equation of each line from the given information. write the equation in standard Form. show your work for. The line contains the points (3.0) and (4,6)​

Answers

Answer:

y=6x-18

Step-by-step explanation:

To find the standard equation of a linear relationship given two points, you need to find the slope and y intercept.

slope is change in y divided by change in x.

(6-0)/(4-3)

(6)/(1)

The slope of the line is 6.

We can plug this in along with x and y values from a given coordinate into the standard equation format to solve for b, the y intercept.

y=mx+b

y=0

x=3

m=6

0=6(3)+b

0=18+b

b=-18

now we know that the y intercept is (0,-18). The standard equation would be y=6x-18

The line plot shows amount of miles students ran in a week. What is the difference in the lowest miles and the highest miles run in a week? A) 1 1/2 B) 1 1/4 C) 1 3/4 D) 3/4

Answers

Answer:

C

Step-by-step explanation:

There are 4 lines in between 2 consecutive integers, so each division is:

1/4 = 0.25

As we see from the graph, the highest miles is at the division before 2, which is 1.75

Also, the lowest miles is at 0.

Hence, difference in highest and lowest is 1.75 - 0 = 1.75

In fraction, [tex]1.75=1\frac{3}{4}[/tex]

correct answer C

express with positive exponents

Answers

Answer:

2b^2

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

5a^4

Step-by-step explanation:

2a^-4

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

5b^-2

Negative exponents go to the denominator when they are in the numerator

and to the numerator when they are in the denominator

a^-4  becomes 1/a^4

1/b^-2  becomes b^2

2/5 * 1/a^4 * b^2

2*b^2 * 1/5a^4

Rewriting

2b^2

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

5a^4

At a local company, the ages of all new employees hired during the last 10 years are normally distributed. The mean age is 35 years old, with a standard deviation of 10 years.

If you were to take a sampling of 10 employees, what is the probability your mean age will be at least 37? Round to the nearest percent.

Answers

Answer:

The probability your mean age will be at least 37 is approximately 26%

Step-by-step explanation:

Let X denote the ages of all new employees hired during the last 10 years , then X is normally distributed with;

a mean of 35

a standard deviation of 10.

The sample size obtained is 10 employees. This implies that the sampling distribution of the sample mean will be normal with;

a mean of 35

a standard deviation of [tex]\sqrt{10}[/tex]

The sample mean is a statistic and thus has its own distribution. Its mean is equal to the population mean, 35 and its standard deviation is equal to [tex]\frac{sigma}{\sqrt{n} }[/tex]

where sigma is the population standard deviation, 10 and n the sample size which in this case is 10. [tex]\frac{10}{\sqrt{10} }=\sqrt{10}[/tex]

We are required to find the probability that this sample mean age will be at least 37;

P(sample mean ≥ 37)

Since we know the distribution of the sample mean we simply standardize it to obtain the z-score associated with it;

P(sample mean ≥ 37)

=[tex]P(Z\geq \frac{37-35}{\sqrt{10} })=P(Z\geq0.6325)=1-P(Z<0.6325)[/tex]

=1 - 0.7365 = 0.2635

=26%

Other Questions
The Two revenue sources for the government are ___ and ___. sherane rolls a standard, six-sided number cube. what is the probability of rolling a multiple of 3? FIRST PERSON WHO ANSWERS THIS WILL BE BRAINLIESTi have to talke about a website that is not good and I chose brainly write all of the negative things you canWhy is Brainly bad? What is the sum of the first 30 terms of this arithmetic sequence?6, 13, 20, 27, 34, Why was the Georgia colony founded?as a haven for African indentured servantsas a sanctuary for Puritan noblemenas a place to resettle people who had been in prisonas a home for Dutch settlers explain the difference between a learning organization and a traditional organization 1. DEPRECIATION The value of a new plasmatelevision depreciates by about 7% each year. Aerynpurchases a 50-inch plasma television for $3000.What is its value after 4 years? Round your answer tothe nearest hundred. How to take off fake nails without acetone 2x4y=20 whats the answer In the section the yuck factor what evidence does the author provide in response to the conflicting point of view that vegetation food is bland how did the press conference that rabbi s wise held affect americans awareness about the atrocities against jews? Passage A1 The neighbors sometimes talked of certain "better days" that little Mrs. Sommers had known before she had ever thought of being Mrs. Sommers. She herself indulged in no such morbid retrospection. She had no timeno second of time to devote to the past. The needs of the present absorbed her every faculty. A vision of the future like some dim, gaunt monster sometimes appalled her, but luckily to-morrow never comes.2 Mrs. Sommers was one who knew the value of bargains, who could stand for hours making her way inch by inch toward the desired object that was selling below cost. She could elbow her way if need be; she had learned to clutch a piece of goods and hold it and stick to it with persistence and determination till her turn came to be served, no matter when it came.3 But that day she was a little faint and tired. She had swallowed a light luncheonno! when she came to think of it, between getting the children fed and the place righted, and preparing herself for the shopping bout, she had actually forgotten to eat any luncheon at all!4 She sat herself upon a revolving stool before a counter that was comparatively deserted, trying to gather strength and courage to charge through an eager multitude that was besieging breastworks of shirting and figured lawn. An all-gone limp feeling had come over her and she rested her hand aimlessly upon the counter. She wore no gloves. By degrees she grew aware that her hand had encountered something very soothing, very pleasant to touch. She looked down to see that her hand lay upon a pile of silk stockings. A placard near by announced that they had been reduced in price from two dollars and fifty cents to one dollar and ninety-eight cents; and a young girl who stood behind the counter asked her if she wished to examine their line of silk hosiery. She smiled, just as if she had been asked to inspect a tiara of diamonds with the ultimate view of purchasing it. But she went on feeling the soft, sheeny luxurious thingswith both hands now, holding them up to see them glisten, and to feel them glide serpent-like through her fingers.5 Two hectic blotches came suddenly into her pale cheeks. She looked up at the girl.6 "Do you think there are any eights-and-a-half among these?"7 There were any number of eights-and-a-half. In fact, there were more of that size than any other. Here was a light-blue pair; there were some lavender, some all black and various shades of tan and gray. Mrs. Sommers selected a black pair and looked at them very long and closely. She pretended to be examining their texture, which the clerk assured her was excellent.8 "A dollar and ninety-eight cents," she mused aloud. "Well, I'll take this pair." She handed the girl a five-dollar bill and waited for her change and for her parcel. What a very small parcel it was! It seemed lost in the depths of her shabby old shopping-bag.9 Mrs. Sommers after that did not move in the direction of the bargain counter. She took the elevator, which carried her to an upper floor into the region of the ladies' waiting-rooms. Here, in a retired corner, she exchanged her cotton stockings for the new silk ones which she had just bought. She was not going through any acute mental process or reasoning with herself, nor was she striving to explain to her satisfaction the motive of her action. She was not thinking at all. She seemed for the time to be taking a rest from that laborious and fatiguing function and to have abandoned herself to some mechanical impulse that directed her actions and freed her of responsibility.10 How good was the touch of the raw silk to her flesh! She felt like lying back in the cushioned chair and reveling for a while in the luxury of it. She did for a little while. Then she replaced her shoes, rolled the cotton stockings together and thrust them into her bag. After doing this she crossed straight over to the shoe department and took her seat to be fitted.Compared to the narrator of Passage B, the narrator of Passage A provides more information about:A.) the personal interactions with the main character.B.) the knowledge gained and lessons learned by the main character.C.) the thoughts and feelings of the main character.D.) the past experiences of the main character. 25.0347as to 3 decimal place Determine whether the function is periodic. If it is periodic, find the period.f(x) = 3 sin 2x + 4 cos 3x what is the theoretical yield of copper produced by this reaction Al with CuCl2 Al - 0.5g CuCl2 - 3.5g PLEASE HELP! TRYING TO FINISH MATH EARLY! PLEASE ACTUALLY ANSWER, AND NOT JUST TAKE THE POINTS! Thank You! ;3(05.06 MC)Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:y > 4x 1 y is less than 3 over 2 times x minus 1Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area.Part B: Is the point (1, 1) included in the solution area for the system? Justify your answer mathematically. From the top of a lighthouse 180 feet high, the angle of depression of a boat is 23o. Find the distance from the boat to the foot of the lighthouse to the nearest foot. (The lighthouse was built at sea level.) If the r-value or correlation coefficient of a data set is 0.827, what is the coefficient of determination to three decimal places?A. 0.884B. 0.627C. 0.684D. 0.827 Please Help File Below Why Is It Important To Avoid Applying Too Much Nitrogen Fertilizer?