The three **relations** given all represent **functions** because each has exactly one y-value that corresponds to each x-value.

A **relation** can be defined as a **function** if the x-values (input/domain element) each has exactly one y-value (output value/range element) that is related to or it corresponds to.

A **function** can have two x-values that have the same y-value but cannot have two y-values that corresponds to one x-value.

In the first **relation** showing a graph, each x-value on the graph has exactly one y-value it corresponds to. Therefore, it is a **function**.

In the second **relation** that is represented by the set of ordered pairs, every x-value also have only one y-value it is related to. Therefore, it represents a **function**.

The third **function** given shows a table of values of a **relation** that has exactly only one y-value that is assigned or related to each x-value. This also is a **relation **that represents a **function**.

Therefore, all three **relations** represent **functions**.

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What could be the time of a place at 90-degree West longitude if the Greenwich Time is 12pm

The time would be** 6 AM** at the place at 90-degree **West longitude. **

This is a problem with** coordination and time.** We can solve this problem by using a few steps.

We should recall that **each degree west** is equivalent to **4 minutes before. **

The given place is at 90-degree West longitude. Therefore, the total time difference is (90 × 4) = 360 minutes.

360 minutes is equal to 360/60 = 6 hours.

We have to deduct the time from GST, (12 - 6) = 6 AM

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A supermarket sells 500g pots of yoghourt. There is a special offer on yoghourt:

Buy 2 pots and get a 3rd one free!

A week later, the price of a single pot of yoghourt is still the same, but the offer changes to:

Buy 1 pot and get a second one half price!

Is the second offer better than the first? Show working to justify your answer.

**The first offer is better **from the perspective of a **customer** but the **second one is better** from the perspective of a **seller.**

Here we have different 2 cases, and to find the answer we have to follow a few steps.

First of all, we should simplify these two cases and will try to give them a proper equation format.

Let's assume the price of each yogurt is $x.

Therefore the total price of 2 pots is (2× x) = $2x.

But the condition is if we buy 2 pots, get the 3rd one for free. So, we can purchase a total of 3 pots at the same cost.

∵ If 3 pots cost $2x, then** the average cost **for each pot is 2x/3 =**$0.67x**

**( average value of each unit = Total value / total unit )**

In the second case, if we buy 1 pot we can get the second one at half price.

Therefore, the total price of two pots is, ( x + 0.5x ) = $1.50x

∵ If 2 pots cost $1.50x, then **the average cost** for each pot is 1.50x/2 = **$0.75x**

**( average value of each unit = Total value / total unit ).**

The price of yogurt per pot in the first case < The price of yogurt per pot in the second case.

As **$0.67 < $0.75.**

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An amusement park charges an admission fee of 25 dollars per person. The cost, C (in dollars), of admission for a group of p

people is given by the following function.

C (p)=25p

What is the cost of admission for a group of 5 people?

**Answer:**

c=125 dollars

**Step-by-step explanation:**

c=25p

p(people)=5

c=25*5

c=125

Suppose we are given the following.

Line 1 passes through (0, 4) and (-3, 8).

Line 2 passes through (-4,-2) and (4, 4).

Line 3 passes through (4, 1) and (8, 4).

(a) Find the slope of each line.

Slope of Line 1 = 0

0

Slope of Line 2 =

Slope of Line 3 =

0

►

(b) For each pair of lines, determine whether they are parallel, perpendicular, or neither.

**Answer:**

**Step-by-step explanation:**

Given pairs of points that define three lines, you want to know their **slopes**, and whether **line pairs** are **parallel** or **perpendicular**.

The lines are defined by **point pairs** ...

The slope of a line is given from a pair of points by the formula ...

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

Lines with the same slope are parallel.

Lines with opposite reciprocal slope are perpendicular.

ApplicationLine 1 slope = (8 -4)/(-3 -0) = 4/-3 = -4/3

Line 2 slope = (4 -(-2))/(4 -(-4)) = 6/8 = 3/4

Line 3 slope = (4 -1)/(8 -4) = 3/4

The **slopes of the lines** are ...

**Lines 1 and 2** have slopes that are opposite reciprocals (-4/3 and 3/4), so are **perpendicular**.

**Lines 1 and 3** have slopes that are opposite reciprocals (-4/3 and 3/4), so are **perpendicular**.

**Lines 2 and 3** have identical slopes (3/4 and 3/4), so are **parallel**.

Subtracting Exponents examples

**Answer:**

**Step-by-step explanation:**

Exponents are powers or indices. An exponential expression consists of two parts, namely the base, denoted as b and the exponent, denoted as n. The general form of an exponential expression is b n.

How to Subtract Exponents?

The operation of subtracting exponents is quite easy if you have a good understanding of exponents. In this article, you will learn the rules and how to apply them when you need to subtract with exponents.

But before we can embark on subtracting with exponents, let us remind ourselves some of the basic terms about exponents.What is an exponent?

Well, an exponent or power denotes the number of times a number is repeatedly multiplied by itself. For example, when we encounter a number written as, 53, it simply implies that 5 is multiplied by itself three times. In other words, 53 = 5 x 5 x 5 = 125The same format of writing exponents applies with variables. Variables are represented by letters and symbols. For instance, when x is multiplied repeated by itself 3 times, then we write this as; x3. Variables are usually accompanied by coefficients. A coefficient is therefore an integer that is multiplied by variable.

For instance, in 2x3, the coefficient is the number 2 and x is the variable. When a variable has no number before it, the coefficient is always 1. This is also true when a number has no exponent. The coefficient of 1 is normally negligible, and therefore cannot be written with a variable.

Subtraction of exponents really does not involve any a rule. If a number is raised to a power. You simply compute the result and then perform the normal subtraction. If both the exponents and the bases are the same, you can subtract them like any other like terms in algebra. For example, 3y – 2xy = x y.

Subtracting exponents with the same base

Let’s explain this concept with the help of a few examples.

Example 1

23– 22 = 8 – 4 = 4

53 – 52 = 75 – 25 = 50

Subtract x 3 y 3 from 10 x 3 y 3

In this case the coefficients of exponents are 10 and 1

The variables are like terms and hence can be subtracted

Subtract the coefficients = 10 – 1

= 9

Thus, 10x 3y 3– x 3y 3 = 9 (xy)3

You can notice that, the subtraction of exponents with like terms is done by finding the difference of their coefficients.

Subtract 8x2 – 4x2

In this case, the variables 4x2 and 8x2 are like terms and their coefficients are 4 and 8 respectively.

= 8x2 – 4x2

= (8-4) x2.

= 4 x2

Work out (-7x) – (-3x)

Here, -7x and -3x are like terms

= -7x – (-3x)

= -7x + 3x,

= -4x.

15x – 4x – 12y – 3y

Subtract like terms

15x – 4x = 11x

12y – 3y = 9y

Thus, the answer is 11x – 9y.

Subtract (4x + 3y + z) – (2x + 3y – z).

These variables are like terms

(2x + 3y – z) – (4x + 3y + z)

Open the parenthesis;

= 2x + 3y – z – 4x – 3y – z,

Rearrange the like terms, and perform the subtraction

= 2x – 4x + 3y – 3y – z – z

= -2x + 0 – 2z,

= -2x – 2z

Subtracting exponents with different base

Exponents with different bases are computed separated and the results subtracted. On the other hand, variable with unlike bases can not be subtracted at all. For, example subtraction of a and b can not be performed and the result is just a -b.

To subtract a positive exponents m and negative exponents n, we just connect both the terms by changing the subtraction sign to a positive sign and write the result in the form of m + n.

Therefore, subtraction of a positive and a negative unlike exponents m and -n = m + n.

Example 2

42 – 32 = 16 – 9 =7

Subtract: 11x – 7y -2x – 3x.

= 11x – 2x – 3x – 7y.

= 6x – 7y

Evaluate 3x2 – 7y2

In this case, the two exponents 3x 2 and 7y2 are unlike terms and so it will remain as it is.

Here 3x and 7y both are unlike terms so it will remain as it is.

Therefore, the answer is 3x2 – 7y2

Evaluate 15x – 12y – 11x

= 15x5 – 11x5 – 12y5

= 4x5 – 12y5

pls solve this 4 a branliest

**Answer:**

B

**Step-by-step explanation:**

It says she thought half which equals to 1/2 or 0.5

Mikhail drew parallelogram HRIJK with coordinates H(1,0), I(4,0), J(2,1), K(-1,1) on a coordinate plane. find the coordinates of the image after Mikhail rotated clockwise 180° about the origin

If the point (x, y) rotated 180 degrees about the origin, then its image is (-x, -y)

Since point H is (1, 0), then

H' = (-1, 0)

Since point I is (4, 0), then

I' = (-4, 0)

Since point J is (2, 1), then

J' = (-2, -1)

Since point K is (-1, 1), then

K' = (1, -1)

The coordinates of the image after rotated 180 degrees about the origin are

**H' (-1, 0), I' (-4, 0), J' (-2, -1), K' (1, -1)**

Tea that sells for $2.00 a pound is mixed with a different tea that sells for

$5.00 a pound to produce 40 pounds of a custom blended tea that will

sell for $4.25 a pound. How many pounds of the less expensive tea

should be used in the mixture?

(1) 10

(2) 15

(3) 25

(4) 30

A thing's extent, size, or the total amount is its **quantity. **

The mixture must contain **10 pounds **of affordable tea.

An answer to the question "how much?" is a** quantity,** which might be an amount, number, or measurement.

Numbers or unconventional units can be used to express quantities.

**Quantity **in more complex mathematics can also refer to an undetermined amount in an equation.

Affordable tea costs $2.00.

The price for superior tea is $5.

The price of blended tea is $4.25.

**Solution:**

$4.25 multiplied by 40 pounds of blended tea equals $170.

Let **x** represent the quantity of affordable tea, and

The superior tea quantity is** (40 - x).**

**4.25 * 40 = 2x + 5(40 - x)**

170 = 2x + 200 -5x

-3x = -30

** x = 10**

Therefore, the mixture should contain** 10 pounds** of affordable tea.

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The probability that your raffle ticket is not a winner is 0.9998. What is probability that your raffle ticket is a winner?

The **probability **of raffle ticket is a **winner **is 0.0002.

The **ratio **of **good outcomes **to all possible outcomes of an **event **is known as the **probability**. The **number **of positive **results **for an **experiment** with 'n' **outcomes **can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

**Probability**(Event) = **Positive **Results/**Total **Results = x/n

Given:

**probability **that your raffle ticket is **not **a **winner **= 0.9998.

Now, we know if we have to find the **complement** **probability **we can use

P(E) = 1 - P(not E)

where E is any **event**.

Here, E = **not** **winner**

So, P( raffle ticket is a winner)

= 1- 0. 9998

= 0.0002

Hence, the **probability** of raffle ticket is a **winner** is 0.0002.

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Point (2,11.9), (4,13) rise over run so what's the answer ?

**Answer:**

0.55

**Step-by-step explanation:**

( x1, y1 ) = ( 2, 11.9 )

Here,

**x1 = 2**

**y1 = 11.9**

( x2. y2 ) = ( 4, 13 )

Here,

**x2 = 4**

**y2 = 13**

**Formula**** : -**

**Rise over run = ( y2 - y1 )/( x2 - x1 )**

**Rise over run = ( 13 - 11.9 )/( 4 - 2 )**

= 1.1/2

**Rise over run = 0.55**

I REALLY NEED HELP PLEASE THIS WORK IS FOR MONDAY.can y’all please help me:(

hey we can’t help you due to the fact that you didn’t attach any problem or image

PLEASE HELP ME I NEED HELP

(-2,4)

Explanation: plug in the values

Explanation: plug in the values

Can someone help me please?

[tex]Answer:\ \boxed {-n+3}[/tex]

**Step-by-step explanation:**

**y=mx+b**

**1.**

To find m, choose any two coordinates from the table: (1,2) and (0,3)

and use the formula for the slope of the line:

[tex]\displaystyle\\\boxed {The\ slope\ m=\frac{y_2-y_1}{x_2-x_1} }[/tex]

[tex]\displaystyle\\m=\frac{3-2}{0-1} \\\\m=\frac{1}{-1} \\\\m=-1\\\\Hence,\ y=-x+b\ \ \ \ (1)[/tex]

**2.**

To find b, choose any coordinate from the table: (2,1) and substitute its values into the formula (10):

[tex]2=-(1)+b\\\\2=-1+b\\\\2+1=-1+b+1\\\\3=b\\\\Thus,\ b=3\\\\Hence, \ y=-x+3[/tex]

seda 100 soruluk bir sınavda 36 yanlış yapmıştır üç yanlış bir doğruyu götürerek net sayısı hesaplandığına göre seda en çok kaç net yamıştır

Answer:

Step-by-step explanation:

36÷3=1236+12=48100-48=52EN İYİ SEÇERSEN SEVİNİRİM BAŞARILAR DİLERİM

what number groups contain the number -2.22.

-2.22 can be identified as Rational and Real

Rational and Real numbers

Evaluate. Write your answer as a whole number or as a simplified fraction.

The answer is 121.

Solve by first finding 11 to the 6th power. A simpler way to look at this is just multiplying 11 by itself 6 times. After you do that, multiply 11 by itself 4 times, since the denominator is 11 to the 4th power. Then divide the products.

Solve by first finding 11 to the 6th power. A simpler way to look at this is just multiplying 11 by itself 6 times. After you do that, multiply 11 by itself 4 times, since the denominator is 11 to the 4th power. Then divide the products.

Please help me!

I gotta write 20 charac-ters lol sorry brainly( probably to get a specific answer)

a) The **small tire** would make** 38 rotations**

The **large tire** would make **127 rotations**

b) A **bicycle** with** two large wheels **would allow traveling faster with each **rotation **of the pedal .

The problem we are dealing with relates to **rotations** and** circumference** where rotation refers to the distance from the **center** to any point on the shape that remains the same and whereas the circumference is the **perimeter **of a **circle**. In one revolution a wheel covers a distance which is rise to its perimeter.Since we are provided that the **diameter** of the large wheel is 60 inches, so the radius will be 30 inches ( radius = diameter/2) and the radius of the small wheel is 9 inches.

The **circumference of a circle** is 2πr

for a large wheel the circumference is 2 x 3.14 X 30 = 188.4 inches

for a small wheel, the circumference is 56.52

Since, we know 1 inch is equal to 0.0833333, as the traveling distance = 600 feet = 7200 inches.

**Number of rotation = distance / circumference**

For large wheel = 7200 /188.4 =38.21 = spprox 38

For small wheel = 7200/56.52 =127.38 = approx 127

Since we bicycle with **bigger wheels** is preferable as they can go faster than the ones with little wheels since their **circumference** is more as they cover more** area** in fewer rotations.

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If f(x) = x³ + 15x² +68x + 84, which of the following is not a factor of f(x)?

○ (x+6)

○ (x + 2)

○ (x + 7)

(x+8)

Submit Answer

I think the answer is D

Convert 5 hours to minutes. O A. 300 minutes O B. 500 minutes O C. 50 minutes D. 150 minutes

300

1) Converting 5 hours

1 hour----------60 minutes

5 -------------- x

x = 300, since 5 times 60 is equal to 300 minutes.

So A, 300 minutes.

I don't know how to simplify this A=[tex]\frac{2\sqrt{x}-9}{x-5\sqrt{x}+6\:}-\frac{\sqrt{x}+3}{\sqrt{x}-2}-\frac{2\sqrt{x}+1}{3-\sqrt{x}}[/tex]

The most appropriate choice for** rationalization** will be given by

**What is rationalization?**

When a** surd** is present in the** denominator **of a fraction, the **surd** has to be removed form the **denominator**. The process by which **surds** in the denominator of a fraction can be eliminated is called** rationalization.**

Here,

let [tex]\sqrt{x}[/tex] = a

[tex]x = a^2[/tex]

[tex]\frac{2a-9}{a^2 -5a + 6} - \frac{a + 3}{a-2} - \frac{2a+1}{3-a}[/tex]

[tex]\frac{2a-9}{a^2 -2a-3a + 6} - \frac{a + 3}{a-2} - \frac{2a+1}{3-a}[/tex]

[tex]\frac{2a-9}{a(a -2)-3(a -2)} - \frac{a + 3}{a-2} + \frac{2a+1}{a - 3}[/tex]

[tex]\frac{2a-9}{(a-2)(a-3)} - \frac{a + 3}{a-2} + \frac{2a+1}{a-3}[/tex]

[tex]\frac{2a-9 - ((a + 3)(a-3)) + (2a+1)(a-2)}{(a-2)(a-3)}[/tex]

[tex]\frac{2a-9-a^2+9+2a^2-4a+a-2}{(a-2)(a-3)}[/tex]

[tex]\frac{2a-a^2+2a^2-3a-2}{(a-2)(a-3)}[/tex]

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

[tex]\frac{a^2-2a+a-2}{(a-2)(a-3)}[/tex]

[tex]\frac{a(a-2)+1(a-2)}{(a-2)(a-3)}[/tex]

[tex]\frac{(a-2)(a+1)}{(a-2)(a-3)}[/tex]

[tex]\frac{\sqrt{x} +1}{\sqrt{x} -3}[/tex]

[tex]\frac{(\sqrt{x} +1)(\sqrt{x}+3) }{(\sqrt{x} -3)(\sqrt{x} +3)}[/tex]

[tex]\frac{x + 3\sqrt{x} + \sqrt{x} +3 }{x -9}[/tex]

[tex]\frac{x + 4\sqrt{x} +3 }{x -9}[/tex]

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How many segments of crown molding should be bought to complete the job?

**Answer:**

4.62 segments should be brought to complete the job.

**Step-by-step explanation:**

I guess you only need the answer so, is it okay with no explanation?

-6, -10, - 15, 16, 9, 12 least to greastest

the answer is -15,-10,-6,9,12,16

1. Jasmine is 5 years younger than twice her sister's age. If Jasmine is 39 years old, how old is her sister?

Let J be Jasmine age and S the sister's age. Then, we have

[tex]2S-5=J[/tex]this equality means Jasmine is 5 years younger than twice her sister's age. Now, we also know that J=39 years then by substituying this value into the last equality, we have

[tex]2S-5=39[/tex]and now, we can solve this equation for S. First, we must move -5 to the right hand side as 5. It reads

[tex]\begin{gathered} 2S=39+5 \\ 2S=44 \end{gathered}[/tex]and finally, we obtain

[tex]\begin{gathered} S=\frac{44}{2} \\ S=22 \end{gathered}[/tex]**therefore, Jasmine's sister has 22 years old.**

Write the equation in point slope form using either point

I NEED HELP ASAPPPPPPPPP

-3/4

This is because to get slope you divide vertical line which is 3 by 4.

This is because to get slope you divide vertical line which is 3 by 4.

**Answer:**

y + 2 = 3/4 (x - 1)

**Step-by-step explanation:**

You would pick one of the points in this case I picked (1, -2), for point-slope form your equation is y - y1 = m(x-x1).

Finding the slope (m) is easy you just do rise (up/down) OVER run (left/right).

So in this case your slope (m) is 3/4.

then you just plug everything in but because two negatives equal a positive you equasion should look like this y + 2 = 3/4(x - 1)

A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. Create a system of equations that models how many of each type of computer the business should buy.

a. 515x + 285y = 11,080

x + y = 30

b. 515x + 285y = 30

x + y = 11,080

c. 515x + y = 30

x + 285y = 11,080

d. x + 285y = 30

515x + y = 11,080

Just found the answers to this

¿Qué es una variable?

algunos animales adoptan formas y colores

What is the diameter of a circle with a circumference of 62.83185? a. 5 units c. 20 units b. 10 units d. 25 units

Answer:

i believe it is 20

Step-by-step explanation:

to find the diameter you just deveide the circumference by pi thats it and i got 20.0101433

so i believe its 20

hope this helped :)

Find the value of x *

80°

Your answer

20x

**Answer:**

x = 4

**Step-by-step explanation:**

80 is equal to 20x because they are alt ext angles

so

80 = 20x

divide to both sides

4 = x

that is your answer

2k-3/5k-6 = 2/3 what does k equal to

**Answer:**

100/21

**Step-by-step explanation:**

k = 3/4

Steps to solve

3(2k - 3) = 2(5k - 6)

6k - 9 = 10k - 12

6k - 10k = -12 + 9

-4k = -3

k = 3/4

Steps to solve

3(2k - 3) = 2(5k - 6)

6k - 9 = 10k - 12

6k - 10k = -12 + 9

-4k = -3

k = 3/4

three tanks a b and c are used to store oil

tank a contains n litres of oil tank b contains (n+150) litres of oil

tank c is empty

oil is pumped from tank a and from tank b into tank c so that all three tanks contain the same amount of oil

500 litres of oil are pumped from tank a into tank c

work out the value of n

The **value** of **n** is 1650 after oil is transferred from Tank A and Tank B to Tank C.

It is given that initially,

Oil in tank A = n

Oil in tank B = n + 150

Oil in tank C = 0

**Amount** of **oil** transferred to tank C by tank A = 500 liters

Let us say 'x' amount of oil was transferred to tank C from tank B.

The** amount** of oil left in tank A after transferring 500 liters to tank C = n-500

**Amount **of oil left in tank B after transferring 'x' litres to tank C

= n + 150 - x

**Amount** of oil in tank C now = 500 + x

Since it is given that all three tanks contain the same amount of oil now. i.e. the new amount of oil in tank A = new amount of oil in tank B

n - 500 = n + 150 - x

x = 650

The **new amount** of oil in tank B = new amount of oil in tank C

n + 150 - x = 500 + x

n = 350 + 2x

Since x = 500

n = 350 + 2*650

n = 1650

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Find the slope of the line through the following pair of points. Show all of your work. (5, 20), (9, 9)
Which word in the paragraph below means to bring about or cause? Copy and paste the word. You'll then get a screen that prompts you to enter a computer description; then click Next. The next screen you get says to name your network by specifying a workgroup name, which you should leave as MSHOME, unless the other computers in your house are using a different workgroup name. Click Next. The next screen gives you the option of turning on or off file and printer sharing, so click the top choice (turn on file and printer sharing). Click Next twice more, and then wait for the Wizard to finish. Click the last option in the dialog box (Just finish the Wizard) and click Next. Click Finish to close the Wizard. Repeat this process for any other computer that you want to hook up to your home network server.
In earn contains two white marbles, three green marbles, and 5 red marbles. A marble is drawn and then replaced. Then the second marble is drawn. What is the probability that the first marbel was white and the second was Green?
elect the correct word or phrase to complete this paragraph about the eastern front during World War II.In 1941, German leader Adolf Hitler launched a massive land invasion of . This split his forces between two fronts. The Battle of was fought from August 1942 to January 1943. The battle was a victory for the Soviet Union. It became a major turning point in the war in ..