Write an equation in slope-intercept form for the line that goes through points (1.4,0) and (1.-2). y= x +
pretened the 5 isn't there btw>>​

Write An Equation In Slope-intercept Form For The Line That Goes Through Points (1.4,0) And (1.-2). Y=

Answers

Answer 1

Answer:

x+[1+4+0]and {1×2}

Step-by-step explanation:

can you mark me brainlist


Related Questions

What number makes the equation true ? 5*2/5= ? * 1/5

Answers

Answer:

10

Step-by-step explanation:

Answer:

5*2/5= 10*1/5

Step-by-step explanation:

Q2. Match the event with the most appropriate probability word: If a
multiple of 8 is chosen at random it will also be a multiple of 2.
Likely
Impossible
Certain
Evens
Unlikely
Other:

Answers

Certain. Why? Because If it’s a multiple of 8 it will ALWAYS be divisible by 2.
Please mark as “brainliest” it will earn you points!

PLEASE HELP!!!

Triangle ABC has vertices at A(-5,2), B(1,3), and C(-3,0). Determine the coordinates of the vertices for the image of the pre image is translated 4 units right.
A. A’(-9,2),B’(-3,3), C’(-7,0)
B. A’(-4,6),B’(0,7),C’(1,0)
C. A’(-1,2),B’(5,3),C’(1,0)
D. A’ (-5,-2), B’(-1,-1), C’(-3,-4)

Answers

The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

What is translation on a coordinate plane?

Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.

During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.

Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.

So,

\(\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}\)

\(\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}\)

\(\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}\)

Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Learn more about translation on a coordinate plane at:

https://brainly.com/question/28109834

can someone fill in the chart please!!

can someone fill in the chart please!!

Answers

Answer: (P 3, -3, 4, -4) {q 14. -14, 7, -7} [P + Q 17, -17, 11, -11]

Hope this helps! :)

write a point slope equation for the line that goes through the point (2,-3) and has slope 4​

Answers

Step-by-step explanation:

As per given Information

Slope m = 4

That line goes through the point (2,-3)

Using Point Slope Form

y - y = m ( x - x)

where,

y₁ = -3

x₁ = 2

from the given information

On putting the value we obtain

↝ y-(-3) = 4 ( x - 2)

↝ y + 3 = 4x - 8

↝ y = 4x -8 - 3

↝ y = 4x - 11

So, the point slope equation for that line is y = 4x-11 .

Find x +y + z.
what is x,y, and z

Find x +y + z.what is x,y, and z

Answers

Answer:

Hi, Victoria. When you are dealing with a system of equations in three variables, you want to see first if there is anyway that you can eliminate two variables in one fell swoop. Remember that for any one given equation, you can multiply both sides by the same number without making the equation untrue. Also, remember that you can add or subtract two equations.

 

If we add the first and second equations, we will eliminate both the x and the y.

 

(2x + y + z) + (2x - y - z) = (3) + (9)

Help me out please please

Help me out please please

Answers

Answer:

490000

Step-by-step explanation:

Substituting \(x=40\),

\(I=-425(40)^2 + 45500(40) - 650000=490000\)

Name three collinear points.

Name three collinear points.

Answers

Answer:

D, G and F  or I, G and J

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

Collinear points are the points on the same line.

There are two lines in the diagram.

The collinear points:

D, G and F on one lineI, G and J on the second line

The points that are collinear are  D,G and E  and another set of points which are collinear are L,G and J.

The points which lie on the same straight line are known as collinear points.

Similarly, if three or more number of points are collinear then they form a straight line.

If we observe the figure, the points D,G and E are collinear points as they are on same line.

Similarly the points L, G and H are in the straight line which makes them collinear.

Therefore , the points L,G and J are collinear points.

Hence, the points that are collinear are  D,G and E and another set of points which are collinear are L,G and J

To learn more on Coordinate Geometry click:

brainly.com/question/27326241

#SPJ1

Which choice shows 1/4 of 8

Answers

Answer:

there is no picture so I dont know what i have to do..

Which system of equations is represented in the graph?

A: y= -2
x - 2y = 6

B: y = -2
x + 2y = 6

C: x = -2
2x + y = -3

D: x = -2
2x + y = -3​

Which system of equations is represented in the graph?A: y= -2 x - 2y = 6B: y = -2 x + 2y = 6C: x = -2

Answers

Answer:d

Step-by-step explanation:

grugsfhijgefgjbv ya nij

I NEED HELPP
1. Graph the numbers on the number line
1. Use <, > or = to compare
2. Graph the numbers on the number line
3. Use <, > or = to compare
4. Write in order from least to greatest
5. Write in order from greatest to least​​

I NEED HELPP1. Graph the numbers on the number line1. Use &lt;, &gt; or = to compare2. Graph the numbers

Answers

Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.

Define comparing.

Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.

Given,

Comparing the following using <, > or = ,

Numbers:

√17 and 29/7

For √17

Simplifying,

√17 = 4.123

For 29/7

29/7 = 4.14

√17 < 29/7

To learn more about comparing, visit:

https://brainly.com/question/29467965

#SPJ1

you roll a fair 6 sided dice twice. what is the probability of rolling a 2 the first time and a number greater then 1 the second time?

Answers

Answer:

5/6

Step-by-step explanation:

Because there are 6 sides, and it's saying we need a greater number than 1. And there are 5 other numbers.

Half of a number is equal to 14

Answers

28 is the answer



Half of 28 is 14


What does 69 divided by 310.5 equal in decimal form?

Answers

The answer would be 0.22222222
You need to take 69 and divide it by 310.5 and you will get your answer.

Yolanda used her graphing calculator to graph y= 3x. Her graph is shown at right. Do you think she
did it correctly? Explain.

Yolanda used her graphing calculator to graph y= 3x. Her graph is shown at right. Do you think shedid

Answers

Yes because the line goes up 3 right 1 which is the equation y=3x

Lugar geométrico infinito formado por un conjunto de puntos que conservan la misma dirección

Answers

Answer:

l lugar geométrico de los puntos que equidistan a otros dos puntos fijos {\displaystyle A}A y {\displaystyle B}B es una recta o eje de simetría de dichos dos puntos. Si los dos puntos son los dos extremos de un segmento {\displaystyle {\overline {AB}}}\overline {AB}, dicha recta, o lugar geométrico, es llamada mediatriz y es la recta que interseca perpendicularmente a {\displaystyle {\overline {AB}}}\overline {AB} en su punto medio.

La bisectriz cumple la propiedad de que todos sus puntos equidistan a los lados de dicho ángulo, convirtiéndose la bisectriz en un caso particular del lugar geométrico que sigue a continuación.

El caso de equidistancia a dos rectas paralelas, obtenemos que la paralela media es el lugar geométrico de los puntos que las equidistan. Se observa que, bajo el punto de vista de que las rectas paralelas se cortan en el infinito -se elimina, pues, la noción de paralelismo-, pasa a ser un sinónimo de la bisectriz, donde el ángulo ha tomado valor nulo.

Secciones cónicas

Las secciones cónicas pueden ser descritas mediante sus lugares de geométria:

La circunferencia es el lugar geométrico de los puntos cuya distancia a un punto determinado, el centro, es un valor dado (el radio).

La elipse es el lugar geométrico de los puntos tales que la suma de su distancia a dos puntos fijos, los focos, es una constante equivalente a la longitud del eje mayor de la elipse.

La parábola es el lugar geométrico de los puntos cuya distancia a un foco equivale a su distancia a una recta llamada directriz.

La hipérbola es el lugar geométrico de los puntos tales que el valor absoluto de la diferencia entre sus distancias a dos puntos fijos, los focos, es igual a una constante (positiva), que equivale a la distancia entre los vértices.

Una recta es un lugar geométrico infinito formado por un conjunto de puntos que conservan la misma dirección.

Descripción de un enunciado de un lugar geométrico dado

En este ejercicio debemos concluir que tipo de expresión se deriva del enunciado del lugar geométrico. Recuérdese que un lugar geométrico es un conjunto de puntos que satisfacen una característica dada.

Matemáticamente hablando, el lugar geométrico puede ser definido a partir de las definiciones de longitudes de segmento de recta:

\(AC = AB + BC\) (1)

Puesto que \(AB\) y \(BC\) tienen la misma dirección, entonces es posible aplicar las siguientes equivalencias:

\(BC = k \cdot AB\), \(k\in \mathbb{R}\) (2)

\(AC = r\cdot AB, \,r\in\mathbb{R}\) (3)

Al aplicarse (2) y (3) en (1) y simplificar la expresión, tenemos lo siguiente:

\(r = 1 + k\) (4)

Por geometría analítica tenemos que el lugar geométrico debe ser una recta, puesto que \(r\) y \(k\) representan un conjunto infinito de elementos. \(\blacksquare\)

Para aprender más sobre lugares geométricos, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/26000018

Belle deposited money into a savings account. This table gives the value of her account for the first 14 months after the initial deposit. The data can be modeled using an exponential function.

Years 2 4 6 8 10 12 14
Account value $106 $113 $119 $126 $135 $143 $152

Based on the data, which amount is closest to the value of the account 24 months after the initial deposit?

$180
$200
$240
$280

Answers

Answer:

The answer is B 200

Step-by-step explanation:

i just took the test so yah :)

write each info entire radical √48​

Answers

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

Learn more about radicals here:

https://brainly.com/question/12739054

#SPJ1

Consider the chart of LCD Television sets and population below. Round your ratio as a decimal to 6 places. Round the Owners per 100 to one decimal.

City

Number of Owners

Total Population

Ratio as decimal

Owners per 100

Indianapolis

6,245

0.90 million



New York

911,216

18.6 million



Cairo

10,598

19.1 million



Beijing

959,611

21.2 million



Tokyo

1,700,510

26.5 million

Answers

To calculate the ratio as a decimal, we divide the number of owners by the total population for each city.

For Indianapolis: Ratio = 6,245 / 0.9 million = 0.006938

For New York: Ratio = 911,216 / 18.6 million = 0.049019

For Cairo: Ratio = 10,598 / 19.1 million = 0.000554

For Beijing: Ratio = 959,611 / 21.2 million = 0.045270

For Tokyo: Ratio = 1,700,510 / 26.5 million = 0.064234

To calculate the owners per 100, we multiply the ratio by 100.

For Indianapolis: Owners per 100 = 0.006938 * 100 = 0.7 (rounded to one decimal place)

For New York: Owners per 100 = 0.049019 * 100 = 4.9 (rounded to one decimal place)

For Cairo: Owners per 100 = 0.000554 * 100 = 0.1 (rounded to one decimal place)

For Beijing: Owners per 100 = 0.045270 * 100 = 4.5 (rounded to one decimal place)

For Tokyo: Owners per 100 = 0.064234 * 100 = 6.4 (rounded to one decimal place)

Therefore, the ratio as a decimal and the owners per 100 for each city are as follows:

Indianapolis: Ratio = 0.006938, Owners per 100 = 0.7

New York: Ratio = 0.049019, Owners per 100 = 4.9

Cairo: Ratio = 0.000554, Owners per 100 = 0.1

Beijing: Ratio = 0.045270, Owners per 100 = 4.5

Tokyo: Ratio = 0.064234, Owners per 100 = 6.4

For such more question on Ratio

https://brainly.com/question/12024093

#SPJ8

z varies directly as x^3 and inversely as y^3. if z=59 when x=8 and y=8, find Z if x=3 and y=4

Answers

\(z=\dfrac{kx^3}{y^3}\\\\\\59=\dfrac{k\cdot 8^3}{8^3}\\k=59\\\\\\z=\dfrac{59x^3}{y^3}\\\\\\z=\dfrac{59\cdot 3^3}{4^3}=\dfrac{1593}{64}\)

. Noah may choose between two accounts in which to invest $4000. Account A offers 2.2% annual interest
compounded monthly. Account B offers continuous compound interest. Noah plans to leave his investment
untouched (no further deposits and no withdrawals) for 15 years.
(a) Which account will yield the greater balance at the end of 15 years?
(b) How much more money does Noah earn by choosing this more profitable account?
Answer:

Answers

Using the compound amount formula, account B will yield the greater balance at the end of 15 years and Noah earn $4 more money by choosing this more profitable account.

In the given question,

Noah may choose between two accounts in which to invest $4000.

Principal Amount(P) = $4000

Account A offers 2.2% annual interest compounded monthly.

Rate(r) = 2.2% = 0.022

In a year have twelve month so n=12

Account B offers continuous compound interest.

Noah plans to leave his investment untouched for 15 years.

Time(t) = 15

Formula for amount after t years = P(1+ r/n)^nt

Amount after 15 years = 4000(1+ 0.022/12)^12*15

Simplifying

Amount after 15 years = 4000(1+0.00183)^180

Amount after 15 years = 4000(1.00183)^180

Amount after 15 years = 4000*1.39

Amount after 15 years = $5560

Account B offers compounded continuously.

So formula used = Pe^(rt)

Amount after 15 years = 4000*e^(0.022*15)

Amount after 15 years = 4000*e^(0.33)

Amount after 15 years = 4000*1.391

Amount after 15 years = $5564

(a) We have to find which account will yield the greater balance at the end of 15 years.

As we can see in Account A amount after 15 years is $5550 and in Account B amount after 15 years is $5564.

So account B will yield the greater balance at the end of 15 years.

(b) We have to find how much more money does Noah earn by choosing this more profitable account.

Noah earn money more by profitable account=Account B amount-Account A amount

Noah earn money more by profitable account=$5564-$5560

Noah earn money more by profitable account=$4

To learn more about compound amount formula link is here

brainly.com/question/28710847

#SPJ1

I am trying to make a study guide and need step by step explanation of this question please

I am trying to make a study guide and need step by step explanation of this question please

Answers

Answer:

\(\text{Option}\Rightarrow\text{ Only }IV\)

Explanation: It is known that as x increases the value of they should decrease, this means that if we start with the following values of the x and y:

\(\begin{gathered} x=0 \\ y=10 \end{gathered}\)

Assuming that for each increase in "x" value, the value of the "y" should decrease exactly by 1 unit, this means that the next four "decreases" in the "y" value would be as follows:

\(\begin{gathered} (x,y)\Rightarrow(0,10) \\ (x,y)\Rightarrow(1,9) \\ (x,y)\Rightarrow(2,8) \\ (x,y)\Rightarrow(3,7) \\ (x,y)\Rightarrow(4,6) \end{gathered}\)

Plotting these four coordinates on a graph gives the following result:

The graph indicates that the answer should be "Only IV" option .

I am trying to make a study guide and need step by step explanation of this question please

If x=5 and y=7, evaluate the following expression:
20−(3y−4x)

Answers

Answer:

\(\huge\boxed{\bf\:19}\)

Step-by-step explanation:

Given,

x = 5y = 7

Now, the expression is: \(20 - (3y - 4x)\).

To solve this question we just need to substitute the values of x & y in the given expression. Then,

\(20 - (3y - 4x)\\= 20 - (3(7) - 4(5))\\= 20 - (21 - 20)\\= 20 - 1\\= \boxed{\bf\:19}\)

\(\rule{150pt}{2pt}\)

2x^4-5x^3+x^2+3x+2 for: x=-5

Answers

Answer:

If you  look it up it should be there

Step-by-step explanation:

google :\

2. A 12ft tall painting next to a bookshelf casts a 20 foot shadow. If the
book shelf casts a shadow that is 8ft long then how tall is it?

Answers

Answer:32

Step-by-step explanation:

A coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour. Which point is NOT included in the graph of the step function?

Answers

There is no point that is NOT included in the graph of the step function.

The coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour.

To determine the point that is NOT included in the graph of the step function, we need to consider the charging scheme and analyze the pattern of charges.

The step function can be represented as follows:

For the first hour, the charge is a flat rate of $2.

For each additional hour or fraction of an hour, the charge is $1.

Let's analyze the points included in the graph:

(1, 2): This point represents the charge for the first hour, which is $2.

Now, let's consider the additional hours:

2. (2, 3): This point represents the charge for 2 hours, which is $2 for the first hour and $1 for the additional hour.

(3, 4): This point represents the charge for 3 hours, which is $2 for the first hour and $2 for the additional 2 hours.

(4, 5): This point represents the charge for 4 hours, which is $2 for the first hour and $3 for the additional 3 hours.

Based on the charging scheme, we can observe a pattern where the charge increases by $1 for each additional hour or fraction of an hour.

Since the charging scheme allows for any additional hour or fraction of an hour, there is no specific point that is excluded from the graph. Any positive value of x greater than or equal to 1 will have a corresponding point on the graph.

For similar question on service charges.

https://brainly.com/question/28093981

#SPJ8


Out of 2000 families with four Children each,
How many do you expect to have
at least One boy
Two boys
One or two girls.
no girls

Answers

Answer:

Two boys

Step-by-step explanation:

Please mark me as brainliest

Step-by-step explanation:

based on the rough assumption that the probabilty to get a boy is the same as to get a girl = 1/2 = 0.5, as there are only 2 possible outcomes.

when a family has 4 children, they have 2 possibilities for the first child, 2 for the second child, 2 for the third and 2 for the fourth child.

so, 2×2×2×2 = 2⁴ = 16 possibilities.

the probability for any of these 16 possibilities is

0.5⁴ = (1/2)⁴ = 1/16 = 0.0625

how many of these 16 possibilities include at least one boy ? all except the one, where all 4 children are girls.

so, 16 - 1 = 15

that means 15 out of possible 16 different "configurations" contain at least 1 boy.

the probabilty is therefore 15/16.

and that applies as mean value of 2000 families to

2000 × 15/16 = 125 × 15 = 1875 families

we expect 1875 families out of 2000 to have at least one boy.

how many have 2 boys ?

that is the same as the question in how many ways can I pick 2 elements out of 4.

that are 4 over 2 combinations

4! / (2! × (4-2)!) = 4!/(2!×2!) = 4×3/2 = 2×3 = 6

so, 6 out of the possible 16 possibilities have 2 boys.

the probabilty is therefore 6/16 = 3/8

and that applies as mean value of 2000 families to

2000 × 6/16 = 125 × 6 = 750 families

we expect 750 families out of 2000 to have two boys.

how many have 1 or 2 girls ?

there are 4 possibilities to have 1 girl (either the first, the second, the third or the fourth child).

there are (as before with the 2 boys) 6 possibilities to have 2 girls.

that is together 4+6=10 possibilities out of the 16 to have one or two girls.

the probabilty is therefore 10/16 = 5/8

and that applies as mean value of 2000 families to

2000 × 10/16 = 125 × 10 = 1250 families

we expect 1250 families out of 2000 to have one or two girls.

how many have no girls ?

that is the same as having only (4) boys.

there is only one possibility out of the 16 for that.

the probabilty is therefore 1/16.

and that applies as mean value of 2000 families to

2000 × 1/16 = 125 families

we expect 125 families out of 2000 to have no girls.

A line passes through the point (0,1) and has a positive slope. Which of these points could that line NOT pass through?

Answers

Answer:

(-3, 1)

(5,-2)​

Step-by-step explanation:

Which fraction is greater 2/6 or 2/3 explain how you know your answer

Answers

Answer:

2/3 is greater.

Imagine a pizza is split into 3 slices. You eat 2. You would eat 2/3 of the pizza.

If a pizza is split into 6 pieces and you ate 2 slices, you would be eating less.

2/3 is greater, the 3 pieces are bigger since you’re not splitting it into smaller pieces

True or false: in order to fill the following box, you would need to fill in 2 unit cubes in length, 2 unit cubes in width, and
3 unit cubes in height. You would then fill the rest of the box to cover all the space.
Btw box with all sides 2cm!

1. false
2. true

Answers

Answer: The statement is false.

The box is a rectangular prism with dimensions 2 cm x 2 cm x 2 cm, so it has a volume of 8 cubic centimeters. The statement suggests filling the box with 2 unit cubes in length, 2 unit cubes in width, and 3 unit cubes in height, which would require a total of 2 x 2 x 3 = 12 unit cubes, each with a volume of 1 cubic centimeter. However, 12 cubic centimeters is greater than the volume of the box, which is only 8 cubic centimeters.

Therefore, the statement is false.

Other Questions
Identify whether the figure has plane symmetry, symmetry about an axis, or neither. HELP NEEDED NOW!!! Find the value of x so that the function has the given value. Elmo Gilmore owns a small retail property that he inherited from his father. There are no mortgages or interest expenses connected with the property. Elmo takes an annual cost recovery expense of $5,000. The property has a monthly gross income of $1,500 and monthly operating expenses of $500. Elmo's taxable income from this property will be taxed at a rate of 30%. What is the tax liability for the year A bag contains 6 red markers, 5 blue markers, and 4 green markers. A marker is randomly selected, its color is recorded, and it is returned to the bag. this repeated 1050 times.how many times is it expected that a red marker will be selected? The population of the United States is approximately 290 million, and the land area is approximately 9 million square kilometers. The arithmetic density of the United States is approximately 0.03 persons per square kilometer. 30 persons per square kilometer. 300 persons per square kilometer. 0.03 square kilometers per person. 30 square kilometers per person. A client who was found unconscious at home is brought to the hospital by a rescue squad. in the intensive care unit, the nurse checks the client's oculocephalic (doll's eye) response by:________ a nurse is providing health promotion education to a client diagnosed with an esophageal reflux disorder. what practice should the nurse encourage the client to implement? 7.95 x 10226.02 x 1023 The breakup of Pangea resulted in the formation of the Atlantic Ocean true or false ? The potential energy of a pair of hydrogen atoms separated by a large distance x is given by 6 ( ) C U x x where C is a constant. What is the force that one atom exerts on the other? Is this force attractive or repulsive? - A cylindrical fish tank can hold approximately 502.40cubic inches of water. If the height of the fish tank is10 inches, what is the radius of the tank? Use 3.14 for the following four figures show several different tectonic settings where volcanism is active. which of the following images shows a tectonic environment where magmas were produced by flux-melting? All drugs are considered poisons. True False in a perpetual inventory system, when inventory is purchased, the account is debited, whereas in a periodic system, the account is debited. a car depreciates ( loses value ) at a rate of 4.5% annually . greg purchased a car for 12,500. which equation can be used to determine the value of the car ,v, after 5 years What are all the hand signs in Naruto? As the school health nurse, one of your students is an 11-year-old boy with a diagnosis of attention-deficit hyperactivity disorder (ADHD). Recently, he has been experiencing behavioral difficulties in class and an increase in his anxiety. His family structure consists of a same-sex couple, whom he refers to as Ma and Mamasan, and minimal extended family. There is a known history of substance abuse in Mamasan. When you meet with the student today, he appears disheveled, is dressed in visibly soiled clothes, has lost a significant amount of weight and appears extremely thin, and smells of marijuana. You know from speaking to his teachers that he has been caught smoking outside before school starts for the day with several other boys known to use marijuana. You recall that children of substance abusers may inherit a predisposition to alcoholism and substance abuse. a. Given the students presentation, how will you proceed from here? What is your planned intervention? Please show as much detailed work / steps as possible, thank you! (a) Let X, Y, and z be arbitrary sets. Use an element argument to prove that Xu(Yu Z)=(XuY) UZ. (b) For each of the following statements, either prove that is true or find a counterexample that is false: 11. If A,B and Care arbitrary sets,then(An B)U C=An(BU C. 111. For all sets A and B,if A-B=,then B points and brainlyist if you can name 10 facts about how women suffer a lot more than males. This is an evaluation, make sure you are completing the work on your own. To earn full marks, you must justify your solution. Include the following as needed: Show diagram, define variables, state formula, theorem, equation or function used, Show substitutions and or steps in solving an equation, State restrictions, state concluding statement, Use correct notation. No marks are given if your solution includes: e or In, differentiation, integration. 1. The volume of a cylindrical can in cm 3is V(x)=4x 3+28x 2+65x+50. The can is (x+2)cm high, where x>2. Note that, V cylinder =r 2h, where r is the radius and h is the height of a cylinder. a. What is the radius of the can? ( 3 marks) b. A beverage company is designing a gift cup that goes with the beverage can mentioned in part (a) above. The volume of the cup is w(x)=6x 3+39x 2+69x+45. The cup needs to fit the contents of one beverage can with extra space for ice cubes. What possible x values will satisfy these stated conditions knowing that x>2 ? (5 marks)