Perform the following operations and prove closure. Show your work.

(x/x+3) + (x+2/x+5)

Answers

Answer 1

Answer:

[tex]\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}[/tex]

Step-by-step explanation:

We need to sum the following two expressions:

[tex]\frac{x}{x+3} + \frac{x+2}{x+5}[/tex]

[tex]\frac{x(x+5) + (x+2)(x+3)}{(x+3)(x+5)}[/tex]

expanding the polynomial in the numerator:

[tex]\frac{2x^{2} + 10x + 6}{(x+3)(x+5)}[/tex]

[tex]\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}[/tex]

This is the most simplified form we can get:

[tex]\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}[/tex]

Answer 2

Answer:

[tex]\frac{2(x^{2}+5x+3)}{(x+3)(x+5)}[/tex]

Step-by-step explanation:

The given expression is [tex]\frac{x}{x+3}+\frac{x+2}{x+5}[/tex]

We have to simplify the given expression

[tex]\frac{x}{x+3}+\frac{x+2}{x+5}[/tex]

= [tex]\frac{x(x+5)+(x+2)(x+3)}{(x+3)(x+5)}[/tex]         [Distributive law]

= [tex]\frac{x^{2}+5x+x^{2}+3x+2x+6}{(x+3)(x+5)}[/tex]

= [tex]\frac{2x^{2}+10x+6}{(x+3)(x+5)}[/tex]

= [tex]\frac{2(x^{2}+5x+3)}{(x+3)(x+5)}[/tex]

Finally the simplified form of the given expression is [tex]\frac{2(x^{2}+5x+3)}{(x+3)(x+5)}[/tex]


Related Questions

If x= yand y = Z, which statement must be true?

Answers

Answer:

The answer is

B. x =>z

They all equal the same.

Three times a number increases by 4 is the same as four
times that number decreased by 11. Find the number.​

Answers

Answer:

15 is your answer.

Step-by-step explanation:

Let "a number" = x

"Three times a number increase(d) by 4" = 3x + 4

"...is the same as" = "="

"four times that number decreased by 11" = 4x - 11

Set the equation:

3x + 4 = 4x - 11

Isolate the variable, x. Subtract 4x and 4 from both sides:

3x (-4x) + 4 (-4) = 4x (-4x) - 11 (-4)

3x - 4x = -11 - 4

Simplify. Combine like terms:

-x = -15

Isolate the variable, x. Divide -1 from both sides:

(-x)/-1 = (-15)/-1

x = (-15)/(-1)

x = 15

15 is your answer.

~

Do you guys know the answer for 3 and 4

Answers

Answer:

Problem 3: H. 350 = r * 5

Problem 4: rate of speed = 70 miles per hour

Step-by-step explanation:

Problem 3:

speed = distance/time

Multiply both sides by time.

speed * time = distance/time * time

speed * time = distance

distance = speed * time

distance = 350

speed = r

times = 5

350 = r * 5

Answer: H. 350 = r * 5

Problem 4:

350 = r * 5

Divide both sides by 5.

350/5 = r * 5/5

70 = r

r = 7

rate of speed = 70 miles per hour

Answer:

H. 350 = r*5

Her average rate: 70 miles

Step-by-step explanation:

When finding average rate, you are always either multiplying or dividing so all the choices except for H, won't work.

Also, r represents the rate so its how many miles per hour. So you would multiply the miles per hour by the amount of hours you have.

So r*5.

To find her average you would solve for r in the equation.

So r*5 = 350

You would divide 5 by itself and then by 350, because whatever you do to one side of the equation, you do to the other.

So 5/5 = 1 or just r

350/5 = 70

r = 70

Jimmy spent $121.60 on shirts. Tee shirts cost $9.10 and long sleeve shirts cost $14.20. If he bought a total of 10, how many of each kind did he buy? Please answer

Answers

The answer my friend is 6 long shirts and 4 teeny shirts

I Need Help Plz I’m Failingggg!!

Answers

Answer:

I believe it would be B

Step-by-step explanation:

take x and y values and figure it out what it is by itself

What are the new vertices of triangle FGH if the triangle is translated three units to the right? 

      A. F′ = (–2,–3), G′ = (0,4), H′ = (4,–6)  B. F′ = (–2,–2), G′ = (0,5), H′ = (4,–5)  C. F′ = (–5,–5), G′ = (–3,3), H′ = (1,–8)  D. F′ = (–1,–2), G′ = (1,5), H′ = (5,–5)​

Answers

Answer:

G'(0,5)

H'(4,-5)

F'(-2,-2)

Step-by-step explanation:

We need to identify the three vertices from the figure on the graph:

G(-3,5)

H(1,-5)

F(-5,-2).

If we translate these points 3 units to right, then that effects the x-coordinates.

So 3 more than -3, is 0.

3 more than 1 is 4.

3 more than -5 is -2.

So the new points are:

G'(0,5)

H'(4,-5)

F'(-2,-2).

(04.05 MC)
Which of the following is a solution to this inequality?
[tex]y < \frac{2}{3} x + 2[/tex]
A.(0,3)
B.(-3,1)
C.(3, 5)
D.(1,2)​

Answers

Answer:

D

Step-by-step explanation:

Plug in and see.

Check A: Lets plug in (0,3) into y<2/3 x+2.

3<2/3 (0)+2

3<2 is not true so not A

Check C: Lets plug in (3,5) into y<2/3 x+2.

5<2/3 (3)+2

5<2+2

5<4 is not true so not C

Check B: Lets plug in (-3,1) into y<2/3 x+2.

1<2/3 (-3)+2

1<0 is not true so not B

Check D: Lets plug in (1,2) into y<2/3 x+2.

2<2/3 (1)+2

2<2/3+2 is true so D

What is solution to equation X-5/7=-3/7

Answers

x = 2/7
steps:
add 5/7 to both sides
The answer to the equation is x=2/7
This is because the equation requires you to add 5/7 to -3/7 which results in x equaling 2/7.
(Hope you have a nice day. Could you give me brainliest so I can level up? I only need one more)

WILL GIVE BRAINLEIST DUE AT 9:45 P.M. PLS HURRY SUPER EASY. Bella rollerblades 8 miles in one hour. The function rule that represents this situatrion is 8x, where x is the numger of hours. Make a table to find how many hours she had skated when she traveled 16,24, and 32 miles. Then graph the function. After refer to the exercise. How many miles would Bella travel if she skated for 7 hours?


Hours ] 8x ] Miles

? ] ? ] ]

? ] ? ] ]

? ] ? ] ]

Answers

Answer:

I hope this helps! <3

Step-by-step explanation:

Kiemanh is solving the equation 15r- 6r=36. What is the value of r?

Answers

Answer:

r equals 4- this is the value of r

hope this helps

Step-by-step explanation:

Answer:

[tex]\large\boxed{r=4}[/tex]

Step-by-step explanation:

In this question, we're going to need to solve the equation for r.

This means that we need to get the r by itself to see what it equals to.

Lets solve:

[tex]15r- 6r=36\\\\\text{Subtract 15r and -6r}\\\\9r=36\\\\\text{Now you will divide}\\\\r=4[/tex]

When you're done solving, you should get r = 4

This means that the value of r is 4 (or r = 4)

I hope this helped you out.Good luck on your academics.Have a fantastic day!

Jennifer stores her fishing pole in a cylindrical case. The cylinder has a diameter of 5 inches and a height of 50 inches.Which is closest to the volume, in cubic inches, of the cylinder?

Answers

Answer:

Volume of Cylinder = 981.75 cubic inches

Step-by-step explanation:

There is no answer choice shown, but i will answer this using formula for volume of cylinder and round the answer to 2 decimal places.

You match it with the choices that u have.

The volume of a cylinder is given by the formula  [tex]V=\pi r^2 h[/tex]

Where

V is the volume

r is the radius (half of diameter)

h is the height

We know diameter is 5, so radius is 2.5

also, the height is 50

We simply plug it in the formula and solve:

[tex]V=\pi r^2 h\\V=\pi (2.5)^2 (50)\\V=981.75[/tex]

A single die is rolled twice. Find the probability of rolling a 2 the first time and a 5 the second time.

Answers

Answer:

[tex]\frac{1}{36}[/tex]

Step-by-step explanation:

All die rolls have a 1 in 6 chance of landing on any specific number (because they have 6 equal sides). In probability, two independent events with probabilities a and b will occur concurrently [tex]a*b[/tex] of the time. In this case, [tex]a=b=\frac{1}{6} \to p=a*b=\frac{1}{6}*\frac{1}{6}=\frac{1}{36}[/tex]

Answer:

Required probability = 1/36

Step-by-step explanation:

It is given that,single die is rolled twice

The outcomes of rolling a die are

1, 2, 3, 4, 5, and 6

Total = 6

To find the probability

Probability of getting 2 = 1/6

Probability of getting 5 = 1/6

Therefore probability of rolling a 2 the first time and a 5 the second time. = 1/6 * 1/6 = 1/36

The product of a rational and irrational number is rational

Answers

Answer:

False

Step-by-step explanation:

I think this is a true or false question.

The statement is false.

Here is an example of it being false:

Choose the irrational number to be [tex]\sqrt{2}[/tex] and the rational to be 1.

The product of these numbers is [tex]\sqrt{2}[/tex] which is irrational, not rational.

Answer:

False

Step-by-step explanation:

Ight so any irrational number times a rational number is irrational. But keep in mind that If its 0 times an irrational number, its going to be 0, which is a rational number. So irrational x rational = irrational. Irrational x 0=rational 0.

Hope this helped

Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t)=16t^2, where t is time in seconds. The height of a certain tower is 944 feet. How long would it take an object to fall on the ground from the top of the building?

Answers

Final answer:

In the physics context of free fall, it would take an object approximately 7.67 seconds to fall from a 944-foot tower, neglecting air resistance. This is calculated using the formula for distance of a freely falling object s(t)=16t^2.

Explanation:

The question deals with the physics concept of free fall, specifically directed to the time it would take an object to fall from a certain height. Given that the distance s(t) of a freely falling object is given by the equation s(t)=16t^2, we can find the time t for an object to fall from a height of 944 feet, which is the height of the specific tower.

Setting s(t) equal to the height of the tower, we get: 944=16t^2. Solving this equation for t, we'll get the square root of 944/16 which is approximately 7.67 seconds. Therefore, it would take an object about 7.67 seconds to fall to the ground from the top of the 944-foot tower, neglecting air resistance.

Learn more about free fall time calculation here:

https://brainly.com/question/30467259

#SPJ3

To determine how long it takes for an object to fall from a 944-foot tower, we use the formula s(t) = 16t^2. Solving for t, we find that it takes approximately 7.68 seconds. Thus, the object hits the ground after 7.68 seconds.

Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t)=16t^2, where t is time in seconds. The height of a certain tower is 944 feet. How long would it take an object to fall on the ground from the top of the building?

To solve this problem, we need to determine the time t it takes for the object to hit the ground. Given the height h = 944 feet, we'll use the formula for the distance fallen:

s(t) = 16t^2

We set s(t) equal to the height of the tower:

944 = 16t^2

Next, solve for t:

Divide both sides by 16:

944 / 16 = t^2

t^2 = 59

Take the square root of both sides:

t = √59

t ≈ 7.68 seconds

Therefore, it would take approximately 7.68 seconds for an object to fall to the ground from the top of the building.

Convert 93 pints to quart

Answers

Answer:

Step-by-step explanation:

There are 2 pints in one quart.

93 pints = 93/2 = 46 quarts and 1 pint left over.

Answer:

46.5 quarts

Step-by-step explanation:

There are 2 pints in 1 quart.

Hence,

93 pints     1 quart

------------ * ------------- = 46.5 quarts

      1           2 pints


1. The table below shows the cost of some apples. Which function C(a) is represented in the table?



Apples
Cost
3
$1.95
6
$3.90
9
$5.85





A. C(a) = 0.65a
B. C(a) = 1.95a
C. C(a) = 3a
D. C(a) = 0.85a
2. Which function below translates the parent function f(x) = x4 five units to the right and seven units downward?


A. g(x) = (x – 7)4 – 5
B. g(x) = (x – 5)4 + 7
C. g(x) = (x – 5)4 – 7
D. g(x) = (x + 5)4 – 7




3. Use the mapping shown to show the value of the function f(x) at each point.


A. f(5) = –1, f(3) = 0, f(5) = 1, f(11) = 2, f(21) = 3
B. f(1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21
C. f(–1) = 5, f(0) = 3, f(1) = 5, f(2) = 21, f(3) = 11
D. f(–1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21

Answers

Detailed solution to math problems involving functions and mappings.

1. The function represented by the table:

Identify the pattern in the table to determine the function.

The cost increases by $1.95 for every 3 apples, so the function is C(a) = 0.65a (A).

2. Translating a function:

To shift f(x) = x^4 five units right and seven units down, the correct function is g(x) = (x+5)^4 - 7 (D).

3. Mapping the function:

Using the mapping provided, the correct values are: f(5) = 1, f(3) = 0, f(11) = 2, f(21) = 3 (A).

PLEASE HURRY 10 POINTS What is the solution to the equation 3(2x+5)=3x+4x
A x=0
B x=4
C x=5
D x=15

Answers

Answer:

D x=15

Step-by-step explanation:

3(2x+5)=3x+4x

Distribute the 3

6x +15 = 3x+4x

Combine like terms

6x+15 = 7x

Subtract 6x from each side

6x+15 -6x = 7x-6x

15 =x

What is the solution set of { x I x < -5} n { x I x> 5

Answers

For this case we have to:

[tex]x <-5:[/tex] Represents the solution of all strict minor numbers to -5.

[tex]x> 5:[/tex] Represents the solution of all strict major numbers to 5.

The global solution is given by the intersection of both sets. The symbol of intersection is denoted as: ∩

If we represent the solution in a numerical line, it gives us empty. do not intersect.

Answeer:

Empty set

find the area of a sector with a central angle of 170° with the radius of 17 mm. Round to the nearest 10th.

Answers

Answer: 428.7

The formula to find area of a sector is:

pi*r^2*(degree/360)

Now to substitute values that we know

pi*(17^2)*(170/360)

Simplify

pi*289*0.4722

Now multiply

pi*289*0.4722 = approx 428.7

~~hope this helps~~

For f(x)=3x+1 and g(x)=x•x-6,find (f - g)(x)

Answers

Answer:

[tex]\large\boxed{(f-g)(x)=-x^2+3x+7}[/tex]

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=3x+1,\ g(x)=x^2-6\\\\(f-g)(x)=(3x+1)-(x^2-6)=3x+1-x^2+6=-x^2+3x+7[/tex]

Write a function rule for the table

Answers

For this case we must construct a function of the form [tex]y = f (x)[/tex] taking as reference the values of the table.

It is observed that if we evaluate the following function we have:

[tex]f (x) = x + 4[/tex]

Different signs are subtracted and the sign of the major is placed.

[tex]f (-3) = - 3 + 4 = 1\\f (-2) = - 2 + 4 = 2\\f (-1) = - 1 + 4 = 3\\f (0) = 0 + 4 = 4[/tex]

So, the function is:[tex]f (x) = x + 4[/tex]

Answer:

[tex]f (x) = x + 4[/tex]

Translate the following into algebraic expressions:

Divide the product of a and b by the quotient of c and d.

Answers

Answer:
A • B ÷ C/D

Ex:
Refer to an online translator for more help!

A parallelogram has vertices at (-5, -1), (-2, -1), (-3, -4), and (-6, -4). What is the approximate perimeter of the parallelogram? Round your answers to the nearest hundredth.

a. 9.16

b. 12 units

c. 12.32 units

d. 14

e. 14.32

I NEED THE ANSWER ASAP!!

Answers

Answer:

option C

Step-by-step explanation:

We will call :

A=(-5, -1)    B=(-2, -1)   C=(-3, -4)   D= (-3, -4)

Perimeter= 2*AB+2BC

Where AB= [tex]\sqrt{(-5+2)^{2} +(-1+1)^{2} } = \sqrt{9} =3\\[/tex]

BC =[tex]\sqrt{(-2+3)^{2} +(-1+4)^{2} } = \sqrt{10} =3.16\\[/tex]

So We have:

Perimeter=2*3+2*3.16= 12.32  

Answer:

C.

Step-by-step explanation:

The length of a rectangle exceeds its width by 3
inches, and the area is 54 square inches. What
are the length and width of the rectangle?

Answers

Answer:

The length is 9 and the width is 6.

Step-by-step explanation:

6*9 = 54 and 9 is 3 greater than 6.

what is the median of the following distribution?​

Answers

Answer:

37

Step-by-step explanation:

So this is probably not the correct mathematical way to do it, but it is really easy so you'll probably understand quicker. So a median is the middle number, so how do you find it. First, I counted how many numbers there were (17). Then I subtracted by one to get an even number (if you already have an even number skip this step, and just divide by 2). So now we have 16, so I divided it by 2 to get 8 and just added that 1 that we took out and got 9. So i counted from 24 and the 9th number was 37. To double check I did the same from 56 and got 37.

Which of the following expressions are equivalent? Justify your reasoning.

4√x3

1
x−1

10√x5•x4•x2

x
1
3
•x
1
3
•x
1
3

Answers

Answer:

b and d

Step-by-step explanation:

b. 1/x^-1

=(1/x)^-1

=x

d. x^1/3 * x^1/3 * x^1/3

=x^1/3+1/3+1/3

=x^3/3

=x^1

=x....

What is the slope of a line that includes the points (-5, 1) and (-2, 3).
Select one:A.2/3 b.-2/7 c.-2/3 d.3/2

Answers

Answer:

A

Step-by-step explanation:

Work with the two points

Formula

m = (y2 - y1)/(x2 - x1)

Givens

y2 = 3

y1 = 1

x2 = - 2

x1 = - 5

Solution

m = (3 - 1) / (-2 - - 5)

m = 2 / (-2 + 5)

m = 2 / 3

Answer: A

Answer:

[tex]\large\boxed{\text{A.}\,2/3}[/tex]

Step-by-step explanation:

In this question ,we're trying to find the slope with the given points.

We would use the slope-formula to find the slope.

Slope-formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

We would plug in the numbers to their right spots in the formula. The second y-coordinate going to y2, the second x coordinate going to x2, and etc.

Your equation should look like this:

[tex]m=\frac{3-1}{-2-(-5)}[/tex]

Now we solve:

[tex]m=\frac{3-1}{-2-(-5)} \\\\m=\frac{2}{-2-(-5)}\\\\\text{Carry the negative over to the 5, turning it to a positive 5}\\\\m=\frac{2}{-2+5}\\\\\text{Add the denominators}\\\\m=\frac{2}{3}[/tex]

When you're done solving, you should get 2/3

This means that the slope is 2/3

I hope this helped you out.Good luck on your academics.Have a fantastic day!

The two spheres above have the same center. One has a radius of 4 cm, and the other has a radius of 5 cm

Answers

Answer:

Step-by-step explanation:

Lets assume that a sphere with greater radius = R = 5cm

And a sphere with smaller radius = r = 4cm

Volume of a sphere = 4/3 π * r³

To find the volume of a sphere with radius 5.

Put the value in the formula.

=4/3π * r³

=4/3π *(5)³

5³ = 5*5*5=125

=4/3π * 125

=4/3 *3.14 *125

=1570/3

=523.3 cm³

Now find the volume of sphere with radius= 4

4/3π*r³

=4/3π * 4³

4³= 4*4*4=64

=4/3*3.14*64

=803.84/3

=267.9cm³

Now to find the space between the spheres subtract the volume of smaller sphere from the volume of larger sphere.

We can write it as:

Space between the spheres = Volume of larger sphere - Volume of smaller sphere

= 523.3 cm³ - 267.9cm³

= 255.4cm³ ....

when you use ____ you form general ideas and rules based on your experiences and observations

a. symmetry
b. logic
c. deduction
d. induction

Answers

Induction is the correct answer; when you use induction form general ideas and rules based on your experiences and observations. I hope this will help you! Have a wonderful day!

Answer:

d. induction

Step-by-step explanation:

When you use induction you form general ideas and rules based on your experiences and observations.

After eating lunch together, Jay and Paul start walking in opposite directions. Jay walks 0.75 miles every 15 minutes and Paul power walks 2.5 miles every 30 minutes. In miles, how far apart are they after 1.5 hours?

Answers

Answer:

12 miles

Step-by-step explanation:

Jay walks 0.75 miles in 15 minutes, or 1/4 hour, so his speed is:

0.75 mi / 0.25 hr = 3 mi/hr

Paul walks 2.5 miles in 30 minutes, or 1/2 hour, so his speed is:

2.5 mi / 0.50 hr = 5 mi/hr

After 1.5 hours, Jay has walked a distance of:

3 mi/hr × 1.5 hr = 4.5 mi

And Paul has walked a distance of:

5 mi/hr × 1.5 hr = 7.5 mi

So the total distance between them is:

4.5 mi + 7.5 mi = 12 mi

Other Questions
The question asks, "Find the equation of the ellipse with the following properties.The ellipse with x-intercepts (5, 0) and (-5, 0); y-intercepts (0, 3) and (0, -3)."I know that the equation for an ellipse is x^2/a^2+ y^2/b^2=1 but I have no idea how to create the equation given x-intercepts and y-intercepts. Please help! Thank you. 49. Prejudice operates mainly through the use of stereotyping. A stereotype is/are______________.a) a reward system for the dominant group in order to continue the social stratification of minority groupsb) relatively enduring social arrangements that distribute and exercise power.c) an ethnic or racial slur intended to display the less than characteristics of a minority group.d) the disenfranchisement of individuals or groups based on the media construed images of members of those groups.e) oversimplified ideas about a group or a social category; generalization or assumptions about the characteristics of a group or an individual 21,42,126,504 If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose "not geometric. Write an equation and solve. Round to the nearest hundredth where necessary.ssential44 is 11% of what number? One-fourth of the 48 people at the pool had on blue swimsuits. How many people had on blue swimsuits? Read this passage:The bylaws of the French Ministry of Health decree that"any food served within a state-run institution must meetthe high standards and practices of the Department ofHealth."Why was it a good idea for the writer to use a direct quote in the passageabove?A. To demonstrate the source's style.B. To show the source's credibilityc. To report an official statement exactlyD. To help the audience understand the acceleration means that for each second that passes, falling objects move 9.8 meters.A. TrueB. False How long have people studied chemistry? A. Since chemicals were discovered B.Since fire was discovered C.Since the atom was discovered D.Since gravity was discovered What are the major limitations of melt spinning method? a)-good for limited alloys and limited shapes b)-good for limited shapes, high cost c)-good for limited thickness and limited shapes d)-high cost, high energy consumption A bag of 29 tulip bulbs contains 10 red tulip bulbs, 10 yellow tulip bulbs, and 9 purple tulip bulbs. (a) What is the probability that two randomly selected tulip bulbs are both red? (b) What is the probability that the first bulb selected is red and the second yellow? (c) What is the probability that the first bulb selected is yellow and the second red? (d) What is the probability that one bulb is red and the other yellow? A 50-kg student gets in a 1000-kg elevator at rest. As the elevator begins to move, she has an apparent weight of 600 N for the first 3 s. How far has the elevator moved, and in which direction, at the end of 3 s? A pair of parallel lines is cut by a transversal:What is the measure of angle x? 6.Sarah is planning to fence in her backyard garden. One side of the garden is 34 feet long, another side is 30 feet long, and the third side is 67 feet long.If the fencing material costs $3.00 per foot, how much will Sarahs fence cost?A.$154.00B.$938.00C.$750.00D.$393.00 Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 8.1 minutes and a standard deviation of 1.9 minutes. For a randomly received emergency call, find the following probabilities. (Round your answers to four decimal places.)(a) the response time is between 5 and 10 minutes(b) the response time is less than 5 minutes(c) the response time is more than 10 minutes U1:51:51Which has most likely been peer reviewed?an article on the benefits of eating cheese, featured in Crosscreek Dairy Monthly magazinean article on the benefits of wearing shoe inserts, featured in Bob's Footwear circularan article on the beneficial bacteria in yogurt, featured in Medical Joumal of Gastroenterologyan article on beneficial face creams, featured in Beauty and You magazineSave and ExitSubmitMark this and return Some examples of business applications purposes are to collaborate, share files, meet virtually in real-time, and accept payments. Two strengths of the continental army included What country has the greatest temperature difference between its northern and southern borders? When used as parameters, _________ variables allow a function to access the parametersoriginal argument. A couch regularly sells for $840. The sales price is $714. Find the percent decrease of the sales price from the regular price. Work out the problem plz