Find the HCF of
x^4 y^2 and x^3 y^3

Answers

Answer 1

Here's your answer down here↓:

Step-by-step explanation:

x^3 - y^3 = (x - y)(x^2 + xy + y^2)

(x^4 - y^4) = (x^2 - y^2)(x^2 + y^2) = (x - y)(x + y)(x^2 + y^2)

Ok. So the factor (x-y) appears once in the top line and once in the second line. So we are going to take it the least amount of times.

So, the factor (x + y) appears in the top line zero times and in the second line one time so we will take it where it appears the least which is zero times so we are still at (x - y)

And it Same goes for the factors of (x^2 + y^2) and (x^2 + xy + y^2)


Related Questions

Select the correct answer.
Which function is the inverse of ?

Answers

Answer:

B.    [tex]f^{-1}(x) = \frac{x + 3}{9}[/tex]

Step-by-step explanation:

[tex]let \space\ y = f(x)\\\\y = 9x -3\\[/tex]

Now make x the subject of the equation:

[tex]9x = y + 3\\\\x = \frac{y + 3}{9} \\[/tex]

Replace x with f⁻¹(x) and y with x:

[tex]f^{-1}(x) = \frac{x + 3}{9}[/tex]

The answer is b I think

The base of the Hawaiian mountain Mauna Kea is about 5,853 meters below sea level. Its summit is 4,205 meters above sea level. What is the total height of Mauna Kea? The base of the Hawaiian mountain Mauna Kea is about 5,853 meters below sea level . Its summit is 4,205 meters above sea level . What is the total height of Mauna Kea ?​

Answers

Answer:

100,58 meters

Step-by-step explanation:

You add 5,853 plus 4,205 to get 100,58 Meters. You add the number below and above sea water tog et the total height of the mountain.

Answer:

Mouna Kea is 10,058 meters high

Step-by-step explanation:

in order to calculate the whole height of the Mouna Kea you will need to add the base to the summit.

5,853 +4,205 = 10,058

Given: ABC with AD | CB Prove: m/1 + m/3 + m/2 = 180, by putting the reasons in the correct order. A 3 Z C 5 8 Given : AABC with AD | CB Prove : m / 1 + m / 3 + m / 2 = 180 , by putting the reasons in the correct order .​

Answers

Answer:

98798765

Step-by-step explanation:

67654678765

Imagina that the cook is using a potato-chopping machine instead of a knife, allowing him to chop a maximum of 120 potatoes instead of 100. Which is the best estimate of the number of hamburgers he could cook if he chopped 100 potatoes with the machine

Answers

The number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.

What is the graph of the best estimate?

A mathematical notion called the graph of the best estimate connects points spread throughout a graph.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have shown a graph in the picture that shows the number of hamburgers cooked versus the number of potatoes chopped.

As we can see in the graph,

Number of potatoes chopped = 80

number of hamburgers cooked = 30

Number of potatoes chopped = 90

number of hamburgers cooked = 20

Number of potatoes chopped = 95

number of hamburgers cooked = 10

Number of potatoes chopped = 100

number of hamburgers cooked = 14 (best estimate)

Thus, the number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.

Learn more about the graph of the best estimate here:

brainly.com/question/14279419

#SPJ1

please help i just started summer school online Part F
Several minutes later, Raul decides to measure the water temperature again. He finds that the temperature changed by -0.6°F. What is the temperature of the water now? Show your work.

Answers

Answer:

Step-by-step explanation:

basically all you do is

What is the line that has a slope of -2/3 and passes through point -3,-1?

Answers

Answer:

y = (- 2/3)x - 3

Step-by-step explanation:

y = mx + c

y = (- 2/3)x + c

Now let's substitute the values (-3,-1)

- 1 = (- 2/3)(-3) + c

-1 = 2 + c

c = - 3

Therefore,

y = (-2/3)x - 3

Answer:

y = -2/3x - 3

Step-by-step explanation:

y = mx + b

y = y coordinate              → given: - 1

m = slope                        → given: - 2/3

x = x coordinate              → given: - 3

b = y intercept                 → need to find

y = -2/3x + b → -1 = -2/3(-3) + b

-1 = 2 + b

subtract 2 from both sides

-1 - 2 = 2 - 2 + b

-3 = b

y = -2/3x - 3

In a spelling bee $50\%$ of the students were eliminated after the first round. Only $\frac{1}{3}$ of the remaining students were still in the contest after the second round. If 24 students were still in the contest after the second round, how many students began the contest

Answers

There were 144 students when the contest began

What is Equation ?

Equation is formed when an algebraic expression is equated by a constant or another algebraic expression.

On the basis of given data :

Let the total number of students are x

50% of the students are eliminated after the first round

the remaining students are 0.5x

After the second round = (1/3) * 0.5 x were remaining

and

(1/3) * 0.5 x = 24

then solving this equation will give the total number of students

0.5x = 24 * 3

x = 24*3 /0.5 = 144

Therefore there were 144 students when the contest began

To know more about Equation

https://brainly.com/question/10413253

#SPJ1

Give ur answer in standard form.
3 x 10^4 ÷6 x 10^-4

Answers

Answer:

5.0×10⁷

Step-by-step explanation:

(3÷6)×(10⁴÷10^-4)

(0.5)×(10⁸)

5.0×10^-1×10⁸

5.0×10⁷

[tex] \frac{3 \times {10}^{4} }{6 \times {10}^{ - 4} } \\ \\ \frac{1 \times {10}^{4 - ( - 4)} }{2 } \\ \\ \frac{ 1 \times {10}^{4 + 4} }{2} \\ \\ \frac{1 \times {10}^{8} }{2} \\ \\ 0.5 \times {10}^{8} .[/tex]

Which model best represents the situation

Answers

Answer:

A

Step-by-step explanation:

she worked a total of 34 hours , then

x + y = 34

earnings are $10 per hour babysitting , that is 10x for x hours

$15 per hour for yardwork, that is 15y for y hours

she made a total of $410 , then

10x + 15y = 410

system of equations is

x + y = 34

10x + 15y = 410

f (x) = √x + 9 what is the domain?

Answers

Answer:

Step-by-step explanation:

Hopes this helps:

Answer: x ≥ 0

Anything inside a square root must not be negative. The domain has to be x ≥ 0.

And if you have to graph it it has to start at 0 and go up to 9 and curve over.

What is the value of k?

Answers

Answer:

The value of K in free space is 9 × 109

Step-by-step explanation:

131 = 2k + 11
131-11 = 2k
120 = 2k
120/2 = 2k/2
k = 60

Find the length of x. Assume the triangles are similar.

Answers

Triangles are similar and only differ in size meaning they are dilated

So first we have to find the scale factor of dilation (by how much the smaller triangle got bigger)

Find scale factor:

2.4a=4.8

z=2

Find x:

we multiply the original side of the small side with the scale factor of 2

2.8(2)=x

5.6=x

So, x=5.6

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3


Help me please

Answers

Answer:

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

Step-by-step explanation:

please mark me as brainlest

Answer: y-2=1/3(x-3), which is Choice [B]

Step-by-step explanation:

Hii, do you need to know the answer to your question? No problem! (:

First, do you remember what the "point-slope" formula is? It's

y-y1=m(x-x1)

Now it's just a matter of sticking in the known values.

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

Voila! There's our solution, cheers! (:

--

Hope that this helped! Best wishes.

[tex]\bigstar\underbrace[/tex]

Select the correct answer.
A graph plots two points at (negative 7, 8) and (negative 2, negative 9) on the x y coordinate plane. A diagonal curve connects both points.


What is the range of the function shown on the graph above?
A.


B.


C.


D.

Answers

The range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.

What is a range?

A range refers to the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range is the solution set on the y-axis.

How to determine the range?

Based on the graph of the two points, we can logically deduce the following information:

The least value on the y-axis is 0.The greatest value on the y-axis is 7.The endpoints on the y-axis are 0 and 7.

Therefore, the range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.

Read more on range here: https://brainly.com/question/16610662

#SPJ1

When water flow in two Hoses. The first is four times the second's speed, what is the ratio of the radius of the first to the second?​

Answers

Answer:

4:1

Step-by-step explanation

this should be the answer from how  u gave the question, also can i get brainliest ;)

Wilma is 5 times as old as yvonne. in ten years, yvonne's age will be a third of wilma's age. how old are they now?

Answers

Using a system of equations, it is found that Wilma is 50 years old and Yvonne is 10 years old.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Variable x: Wilma's age.Variable y: Yvonne's age.

Wilma is 5 times as old as yvonne, hence:

x = 5y.

In ten years, yvonne's age will be a third of wilma's age, hence:

[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]

Since x = 5y:

[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]

[tex]y + 10 = \frac{1}{3}(5y + 10)[/tex]

3y + 30 = 5y + 10

2y = 20.

y = 10.

Then:

x = 5y = 5 x 10 = 50.

Wilma is 50 years old and Yvonne is 10 years old.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of function g if g(x) = f(x) − 11?

Answers

Using translation concepts, it is found that the graph of function g if g(x) = f(x) − 11 is a shift down of 11 units of function f(x).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we have that g(x) = f(x) − 11 represents a shift down of 11 units of function f(x).

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Which graph shows the solution to the system of linear inequalities? Edge.

x + 3y > 6

y ≥ 2x + 4

Answers

A system of inequalities can be solved graphically.

See attachment for the required graph

The inequalities are given as

[tex]x + 3y > 6\\y \geq 2x + 4[/tex]

The options are not given.

So, I have attached the graph that illustrates the solution to the system of inequalities.

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

From the graph, we have the solutions as

[tex]x > -0.857[/tex]

[tex]y\geq 2.276[/tex]

To learn more about graphs of inequalities at:

brainly.com/question/15748955

#SPJ1

which expressions are equivalent ??

Answers

Answer:

[tex]\huge\boxed{E.\ 5^{4+x}}[/tex]

Step-by-step explanation:

Use:

[tex]a^n\cdot a^m=a^{n+m}[/tex]

[tex]5^4\cdot5^x=5^{4+x}[/tex]

Es para hoy ayúdenme por favor

Answers

Answer:

Con qué necesitas ayuda?

Step-by-step explanation:

What is the image of (-9,3)(−9,3) after a reflection over the y-axis?

Answers

Answer:

(9, 3 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 9, 3 ) → (9, 3 )

Please hurry

How could you solve this problem?
2 × 3 × 4
Check all that are true.

Multiply 3 × 4 to get 12 and then multiply 12 × 6.

Multiply 2 × 3 to get 6 and then multiply 6 × 12.

Multiply 3 × 4 to get 12 and then multiply 12 × 2.

Multiply 2 × 3 to get 6 and then multiply 6 × 4.

Multiply 2 × 3 to get 6, multiply 3 × 4 to get 12, and then multiply 6 × 12.

Answers

Answer:

multiply 2×3 to get 6and then multiply 6×4 to get 24

Answer:

Multiply 3 × 4 to get 12 and then multiply 12 × 2.

Multiply 2 × 3 to get 6 and then multiply 6 × 4.

Explanation:

Original Answer : 2 × 3 × 4 = 24

1) 12 × 6 = 72

2) 6 × 12 = 72

3) 12 × 2 = 24

4) 6 × 4 = 24

5) 6 × 12 = 72

Hence, only option 3 and 4 is correct.

Please find x! These are probably simple! ASAP pls! 2 problems!
1) 3 + x + (-7) ; x = 6
2) x + (-5) + 5; x = -3
17 points:)

Answers

The numeric values of the given expressions are given as follows:

1) 2.

2) -3.

How to find the numeric value of an expression?

We find the numeric value of an expression replacing all instances of x by the number.

The expression 1 is:

3 + x + (-7) = 3 + x - 7 = x - 4.

When x = 6, the value is:

x - 4 = 6 - 4 = 2.

The expression 2 is:

x + (-5) + 5 = x - 5 + 5 = x.

Hence, when x = -3, the value is:

x = -3.

More can be learned about the numeric values of the expressions at https://brainly.com/question/20930371

#SPJ1

Will a stand that hold up to 40 pounds support a 21-kilograms television? Explain used 2.2 Lb = kg

Answers

Answer: No, the stand will not support the TV. It is too heavy.

Work Shown:

1 kg = 2.2 lbs approximately

21*1 kg = 21*2.2 lbs

21 kg = 46.2 lbs

A 21 kilogram tv is roughly equivalent to 46.2 pounds.

This exceeds the 40 pound weight limit, so this stand will not support it.

Answer: No

Step-by-step explanation:

Weight limit = 40 Lb

Weight given = 21 kg

Conversion factor

2.2 Lb = 1 kg

2.2 x 21 = 46.2

46.2 Lb = 21 kg

46.2 > 40, the stand cannot support the TV

work out the size of angle x

Answers

Answer:

x =83

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

x+43 = 126

Subtract 43 from each side

x = 126 -43

x =83

Let's take this problem step by step:

For the angle adjacent to the exterior angle of 126°:

  ⇒ exterior angle plus the that angle is equal to 180 degrees

      ⇒ since it is on a straight line

                 [tex]126 + that_.angle=180\\\rm \hookrightarrow that.angle=180-126\\\rm \hookrightarrow that.angle=54[/tex]

The sum of all the angles in a triangle is: 180°

                [tex]that.angle+43+x=180\\\rm \hookrightarrow 54+43+x=180\\\rm \hookrightarrow 97+x=180\\\rm \hookrightarrowx=83[/tex]

The size of angle x is 83°

Answer: 83°

Hope that helps!

#LearnwithBrainly

     

work out the equation of the line

Answers

Step-by-step explanation:

Hi there!

According to the question;

The gradient of line is 1/2 and passes through the point (4,-2).

Since, It has one point and gradient we use one point formula to find the equation of the line.

Note:

One point formula: (y-y1) = m (x-x1)

(4,-2) = (x1,y1)

So, using this formula we get;

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

Multiply both sides by 2.

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

2y+4 = x-4

Take 2y+4 in right side

0 = x-4 - (2y+4)

Therefore, x-2y-8 = 0 is the required equation.

Hope it helps!

Hi there!

We're given the following information:

Slope (gradient) = ¹/₂Point = (4,2)

With this information, we can go ahead and plug the data into the point slope equation: y - y₁ = m(x - x₁).

Plug in 1/2 for m, and (4,2) for x1 and y1:

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

[tex]\sf{y-(-2)=\dfrac{1}{2}(x-4)}[/tex]

[tex]\sf{y+2=\dfrac{1}{2}(x-4)}[/tex]

[tex]\sf{y+2=\dfrac{1}{2}x-2}\\\sf{y=\dfrac{1}{2}x-2-2}\\\\\sf{y=\dfrac{1}{2}x-4}[/tex]

Hence, y = 1/2x - 4.

I hope that helps! :)

F(x)=-x^2+3 find(-2)

Answers

Answer:

F(-2) = 7

Step-by-step explanation:

 Finding a specific point on a function given the x position can be done by substituting x in the function for the given number, then solving said function. The value on the right side of the function is the y position.

For this specific function [F(x) = x² + 3], substitute x for -2.

F(-2) = (2)² + 3

Next, solve the equation.

F(-2) = 4 + 3

F(-2) = 7

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

Required answer: f(2) = -1

Detailed explanation:

To find f(-2), we will substitute -2 for x in the function:

[tex]\bf{f(x)=-x^2+3}[/tex]

[tex]\bf{f(-2)=-(-2)^2+3}[/tex]

[tex]\bf{f(-2)=-4+3}[/tex]

[tex]\bf{f(-2)=-1}[/tex]

[tex]\hrulefill[/tex]

Have a wonderful day!

simplify 6e × 2f please help​

Answers

So first multiply the numbers
6 x 2 which gives you 12
then just add the letters which gives you
The answer (12ef) and that’s your answer

Absolute value of (-1, -3/7)

Answers

The absolute value of -1 is 1 and -3/7 is 3/7.

We have given that,

(-1, -3/7)

We have to determine the absolute value of (-1, -3/7)

What is the absolute value?

The absolute value or modulus of a real number x denoted |x|, is the non-negative value of x without regard to its sign. Namely, [tex]{\displaystyle |x|=x}[/tex]if x is a positive number, and [tex]{\displaystyle |x|=-x}[/tex] if x is negative, and[tex]{\displaystyle |0|=0}[/tex].

Therefore the absolute value of -1 is 1 and -3/7 is 3/7.

To learn more about the absolute value visit:

https://brainly.com/question/24368848

#SPJ1

The table shows the probability of how a certain score will
compare to a listed score on a popular video game. Use the
probability distribution to find the variance, o².

Answers

The variance of the probability distribution is 400

The Variables of X and their Probability Distribution.

To find Variance, first we should find out Mean and then Variance

The expected value of a discrete random variable X, symbolized as E(X), is often referred to as the long-term average or mean (symbolized as μ)

The variance of a probability distribution is symbolized as σ2. To find the variance σ2 of a discrete probability distribution, find each deviation from its expected value, square it, multiply it by its probability, and add the products.

Step – 1: Calculation of Mean                               Step – 2: Calculation of Standard Deviation= σ2=∑(x−μ)²P(x)

Mean = X * P(X)     Variance = Sum of (X – Mean)²*P(X)

X P(X) X*P(X)

-50 0.029 -1.45

-30 0.121 -3.63

-10 0.210 -2.1

10 0.485 4.85

30 0.145 4.35

50 0.010 0.5

Mean  2.52

X  P(X) X - Mean  (X – Mean)² (X – Mean)²*P(X)

-50 0.029 -52.52 2758.35                 79.99216

-30 0.121 -32.52 1057.55                 127.9636

-10 0.210 -12.52 156.7504         32.91758

10 0.485 7.48          55.950                  27.13594

30 0.145 27.48 755.1504         109.4968

50 0.019 47.48 2254.35                 22.5435

Variance=400.00

Read more about variance at the below link: https://brainly.com/question/27271235

#SPJ10

Other Questions
Another way to write g(h(x)) is(gOh)(x)(hog)(x) john quicny adams argued that the united states should please help!! ilol give brainliest The role and significance of capital accumulation for the development of enterprises in our country today?A. Create a basis for capital accumulation in each enterpriseB. Create a basis for the process of saving capital in each enterpriseC. Create a basis to promote capital scale in each enterpriseD. Create a basis for business mergers and acquisitions overall, this case confirms that chinese business culture is generally considered what combination of individualism and egalitarianism? A randomly generated list of integers from 1 to 5 is being used to simulate an event, with the numbers 1 and 2 representing a success. What is the estimated probability of a success?A.50%B.30%C.40%D.20% How are fossil fuels, such as coal, formed?Fossil fuels, such as coal, are formed through deposition of rocks.A: metamorphicB: igneousC: sedimentaryD: clastic The age of trees in a forest is known to be approximately normal with an average age of 40 years and a standarddeviation of 10 years. What is the standardized score for a tree that is 34 years old?A. 1.90B.-0.60C. -1.90D. 0.60 A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure.x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth.(11.4, 14.2)(7.6, 8.8)(5.7, 7.5)(10.2, 12.6) What are the solutions, if any, of the equation x225=7? NEED HELP ASAP WILL MARK BRAINLIEST! Which region on the map is known as the birthplace of human beings? Would you say that people in your country are more or less enthusiastic about university education than they are in Britain? Which relation is a function?????? what do sensory neurons do with the information from the receptors ? if the figure forms the base of a right solid 110 centimeters high, find the surface area An object is located 26.0 cm from a concave lens with f = -54.0 cm. What is its magnification? Which are risk factors for contracting an sti? check all that apply Marcela was assigned some math problems forhomework. She answered half of them in study hall.After school she completed seven more. If she stillhas 11 problems to do, how many problems wereassigned? Given that AUVW=AXYZ, what is the measure of ZY?AV7070OA. 180OB. 40O C. 90OD. 70