if x+y=12 and xy=27 . find x^3+y^3
pls help with steps ​

Answers

Answer 1

Answer:

Step-by-step explanation:

use formula

x^3+y^3=(x+y)^3-3*x*y(x+y)

=12^3-3*27(12)

=1728-972

=756

Answer 2

Answer:

x^3 + y^3 = 756

Step-by-step explanation:

Given that,  x+y=12 and xy=27

We know that,

[tex]( x + y )^3 = x^3 + y^3 + 3xy(x + y)[/tex]

∴ [tex]12^3 = x^3 + y^3 + 3 * 27 * 12[/tex]

[tex]=> 1728 = x^3 + y^3 + 972[/tex]

[tex]x^3 + y^3 = 1728 - 972[/tex]

[tex]==> x^3 + y^3 = 756[/tex]


Related Questions

2.


Which inequality statement best represents the graph?


A. f(x) ≥ 2x2 + 4x


B. f(x) ≤ –2x2 + 4x


C. f(x) ≤ 2x2 + 4x


D. f(x) ≥ –2x2 + 4x

Answers

Answer:

The answer is A. f(x) ≥ 2x2 + 4x or C. f(x) ≤ 2x2 + 4x

Step-by-step explanation:

Vertex:  

( − 1 , − 2 )

Focus:  

( − 1 , − 15 /8 )

Axis of Symmetry:  

x

=

1

Directrix:  

y

=

17

8

x

y

3

6

2

0

1

2

0

0

1

6

Vertex:  

( − 1 , − 2 )

Focus:  

( − 1 , − 15 /8 )

Axis of Symmetry:  

x

=

1

Directrix:  

y

=

17

8

x

y

3

6

2

0

1

2

0

0

1

6

Vertex:  

( 1 , 2 )

Focus:  

( 1 , 15 /8 )

Axis of Symmetry:  

x

=

1

Directrix:  

y

=

17

8

x

y

1

6

0

0

1

2

2

0

3

6

Vertex:  

( − 1 , − 2 )

Focus:  

( − 1 , − 15 /8 )

Axis of Symmetry:  

x

=

1

Directrix:  

y

=

17

8

x

y

3

6

2

0

1

2

0

0

1

6

Vertex:  

( 1 , 2 )

Focus:  

( 1 , 15 /8 )

Axis of Symmetry:  

x

=

1

Directrix:  

y

=

17

8

x

y

1

6

0

0

1

2

2

0

3

6

La promoción de 5to grado de secundaria "Jóvenes caminando hacia el éxito" han estado realizando actividades

para su viaje y fiesta de promoción, logrando hasta la fecha juntar la suma de S/. 24 000. Por ello, el comité de

padres de familia convocó una reunión general para decidir dónde depositar el dinero, presentando dos opciones

de ahorro:

Opción 1: Depósito por 2 años que paga el 10% trimestral en interés simple.

Opción 2: Depósito por 2 años en una cuenta que paga el 18% de semestral compuesto anual.

Ayuda a los padres de familia de la promoción a elegir la mejor opción.







ACTIVIDAD 2:
Carolina y Carla son dos hermanas gemelas quienes ganaron S/.3450 en el Bingo organizado por su parroquia,
decidiendo gastar S/. 1450 en un viaje a Cuzco y repartirse el resto en partes iguales. Cada hermana decidió
ahorra en su Banco de confianza. ¿Cu

Answers

Answer:

Los padres de la promoción deben elegir la Opción 1, porque da un mayor interés en la inversión.

Step-by-step explanation:

El monto recaudado por la escuela secundaria = S / 24,000

Las opciones que tienen los padres para depositar el dinero son;

Opción 1:

El interés simple del depósito = 10%

El número de veces que se aplica el interés anualmente = Trimestral

El número de años para el depósito = 2 años

opcion 2

La tasa de interés del depósito, r = 18% de interés simple.

El número de veces que se aplica el interés = Semestralmente

La cantidad de años que se ahorrará la cantidad = 2 años

Opción 1

Observamos que para el interés simple no hay interés ganado sobre el interés anterior.

Por lo tanto;

Una inversión que paga el 10% trimestralmente = (1/4) año pagará 4 × 10% = 40% en 4 × (1/4) año = 1 año

La cantidad de interés ganado en 2 años invirtiendo en la opción 1 se da como sigue;

Yo = P × R × T / (100)

∴ I₁ = 24.000 × 40 × 2/100 = 19.200

El interés después de 2 años en la opción 1, I₁ = S /. 19.200

opcion 2

Una inversión que paga 18% semestralmente = (1/2) año pagará 2 × 18% = 36% en 2 × (1/2) año = 1 año

La cantidad de interés ganado en 2 años invirtiendo en la opción 2 se da a continuación;

Yo = P × R × T / (100)

∴ I₂ = 24.000 × 36 × 2/100 = 17.280

El interés después de 2 años en la opción 2, I₂ = S /. 17.280

Dado que el interés dado por la opción 1, I₁ = S / .19,200 es mayor que el interés dado por la opción 2, I₂ = S /. 17.280, los padres de la promoción deben elegir la opción 1, que es depositar durante 2 años que paga un interés simple trimestral del 10%

No links please! And I need this math answer quick

Answers

Answer:

2r-3(r+7)-8r=10(r-1)

2r-3r-21-8r=10r-10

-9r-10r=-10+21

-19r=11

-19/11=r

Step-by-step explanation:

PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEEEEEE

Answers

Answer:

hiii

zom I'd 213 088 8336

p 0

come for s

Answer:

113 degree

Step-by-step explanation:

missing angle is 113 degree because the relation between 113 degree and missing angle is alternate interior angle and alternate interior angles are always equal.

Please help me please and thank you

Answers

Answer:

f(x)= x^2 - 2, the one in red.

Step-by-step explanation:

To move a quadratic function up/down, you change the value at the very end of the formula.

So instead of f(x)= x^2 + 1, you would do f(x)= x^2 - 2, to move it down 3. This would be the one in red.

HELP AGAIN PLEASE THANK YOU

Answers

Answer:

A. 10/11

Step-by-step explanation:

[tex]A. \: 10 \sqrt{11} [/tex] ✅

Step-by-step explanation:

[tex]( \sqrt{22} )(5 \sqrt{2} ) \\ = 5 \sqrt{22 \times 2} \\ = 5 \sqrt{2 \times 2 \times 11} \\ = 5 \sqrt{ {2}^{2} \times 11 } \\ = 5 \times 2 \sqrt{11} \\ = 10 \sqrt{11} [/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

Emmet has already baked 2 pies, and he can bake 2 pies with each additional cup of sugar he buys. How many additional cups of sugar does Emmet need in order to bake a total of 40 pies?

Answers

Answer:

19

Step-by-step explanation:

He can make 2 pies with one cup of sugar so he can make 40 pies with 20 cups of sugar. He already used a cup of sugar so the total is 19 (20-1)

What is the 18th term of the arithmetic
sequence 2,-2.-6.-10....?
F-72
H -68
WG -70
J -66

Answers

Answer:

J

-66

Step-by-step explanation:

a1 = 2

n = 18

d = - 4

a18  =  a1 + (n - 1) * d

a18 = 2 + (18 - 1)*(-4)

a18 = 2 + 17*-4

a18 = 2 - 68

a18 = -66

An average of 20 pears were sold from Monday to Friday. After the sales on Saturday and Sunday, the average pears sold per day were increased to 25. How many pears were sold on Saturday and Sunday?

Answers

Answer:

5 pears

Step-by-step explanation:

Given that

The  average of 20 pears were sold from Monday to Friday

But after the sales on Saturday and Sunday, the average pears sold per day were increased to 25

We need to determine the number of pears sold on Saturday and sunday

So, it is

= 25 pears - 20 pears

= 5 pears

12(x-2) + 3x = 1/3(x+12) + 10x step by step solve plz

Answers

Answer:

[tex]12(x - 2) + 3x = \frac{1}{3} (x + 12) + 10x \\ 12x - 24 + 3x = \frac{x}{3} + \frac{12}{3} + 10x \\ 12x - 24 + 3x = \frac{x}{3} + 4 + 10x \\ 12x + 3x - \frac{x}{3} - 10x = 4 + 24 \\ 5x - \frac{x}{3} = 28 \\ \frac{15x - x}{3} = 28 \\ \frac{14x}{3} = 28 \\ 14x = 28 \times 3 \\ 14x = 84 \\ x = \frac{84}{14} \\ x = 6[/tex]

Good luck .

hey! i’ll give brainliest please help

Answers

It’s a subject because it’s a person they are talking about

Answer:

Subject

Step-by-step explanation:

Have a good day :)

Construction crew is using heavy equipment to dig a hole in which the foundation of a house will be built. The whole will be in the shape of a right rectangular prism with dimensions of 4 feet in depth, 100 feet long, and 50 feet wide. The soil will be removed using a truck that can hold a maximum of 40,000 pounds. The soil weighs 90 pounds per cubic foot. What is the least number of truckloads needed to remove all of the soil ?

Answers

Answer:

5

Step-by-step explanation:

HELP FAST PLEASEEEEE

Answers

Answer:

The third one

Step-by-step explanation:

Answer:

4 I think, Im not 100 percent sure.

Compare. Use <, >, and =.
[-8_______7]
pls help urgent

Answers

Answer:

-8<7

Step-by-step explanation:

if you did at the number line you'll see that the -8 is at the left

and as you go the left number decreases

as you go to the right number increases

Two boxes have the same volume. One box has a base that is 5 cm by 5 cm. The other box has a base that
is 10 cm by 10 cm.
How many times as toll is the box with the smaller base?
times as tall
Can somebody please help me out this test is due tomorrow and this is hard

Answers

answer:

4 times as tall

hope this help:))

Answer:

4 times

Step-by-step explanation:

Hope this helps!

helphelphelphelphelphelphelphelphelphelphelp

Answers

0.07

Explanation:

The number of sophmores is 2+25+3 = 30.

Of these sophmores, 2 drive to school.

So the probability that a student drives to school, given that they are a sophmore, is 2/30, or approximately 0.07.

(6. solve for x )
225 multiplyed by 1/3 = x

Answers

Answer:

Step-by-step explanation:

225*1/3=x

225/3=x

75=x


Need help asap this is really important

Answers

Answer:

y = [tex]\frac{4}{3}[/tex][tex]x[/tex] [tex]-7[/tex]

Step-by-step explanation:

Use the points (9, 5) and (6, 1) to identify the slope of the graph

[tex]m[/tex] = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

m = [tex]\frac{1-5}{6-9}[/tex]

m = [tex]\frac{-4}{-3}[/tex]

m = [tex]\frac{4}{3}[/tex]

The y-intercept is -7 because -7 touches y axis causing it to be the y-intercept

a fish tank has a height of 30 inches, length of 20 inches, and a width of w 25 inches. how many cubic inches will the tank hold when half full​

Answers

Answer:

Here is your answer!

Step-by-step explanation:

Question 44.
What is the value of the expression 6 (A) -5 when A=3​

Answers

Answer:

13

Step-by-step explanation:

6(A)-5

Sub 3 into A

6(3)-5

Multiply 3 by 6

18 - 5

=13

Answer:

6(3)-5

18-5

=13

Step-by-step explanation:

Can someone PLEASE help me with this? I will give brainliest

Answers

Answer:

The area is about 25/2 inches^2

Step-by-step explanation:

You are given an isoceles triangle; the sides equal to each other are radiuses of the circle G.  They are both 5 inches in length.  

The angle between the two equal sides is equal to 88 degrees.

To find the height of the triangle, draw a line perpendicular to  GH and solve for the lengths of the sides.  

sin(88) = x/5

5sin88 is about 5 it is (4.99695)

Multiply the side length GH (5) and the solved height and divide by two;

The area is about 25/2 inches^2

what is x-7=1 simplified?

Answers

Answer:

x = 8

Step-by-step explanation:

x-7=1

Add 7 to each side

x-7+7 = 1+7

x = 8

Answer:

x= 8

Step-by-step explanation:

collect like terms

x= 7+1

x= 8

Ali bought his mom 2 dozen (24) of roses. 1/3 of them are red and the rest are pink. How many are pink

Answers

Answer:

there are 16 pink roses

Step-by-step explanation:

Number of pink roses = fraction of pink roses x total number of roses bought

fraction of pink roses = 1 - fraction of red roses

1 - 1/3

= 3/3 - 1/3 = 2/3

Number of pink roses = 2/3 x 24 = 16

Given circle Q with a measure of SR= 120° and a radius of 9 feet, as shown below.
❤️ volume and circles ❤️

Answers

Answer:

6pi

Step-by-step explanation:

arc length = 2pi * r * angle/360

= 2 pi * 9 * 120/360 = 6pi

Write an inequality for the graph below.


DO NOT PUT A LINK!

Answers

Answer:

y=1/4x+1

i think

Step-by-step explanation:

Geometry/// find the surface area of the square pyramid if the height of each triangular face is 20 m and the length of each side of the base is 19 m

Answers

Answer:

1202.38

Step-by-step explanation:

i looked how how do it and a calculator popped up so i put the numbers in that's what i got

Rowena and Arlene are going to make a triangular path in her garden. The sides will be 20 feet, 36 feet, and 18 feet. What is the total length of the path? Answer the questions that follow using AGONSA.

Answers

Answer: 74feet

Step-by-step explanation:

In this case, to calculate the total length of the path, we have to find the perimeter of the shape which is a triangle.

It should be noted that the perimeter of a triangle is the addition of all of its sides. The sides given here are 20 feet, 36 feet, and 18 feet. Therefore, the total length will be:

= 20ft + 36ft + 18ft

= 74ft

The perimeter of a triangle is the sum of all sides of the triangle. Then the path length is 74 feet.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Rowena and Arlene are going to make a triangular path in her garden.

The sides will be 20 feet, 36 feet, and 18 feet.

The length of the path is given by the perimeter of the triangle. Then we have

Length of path = 20 + 36 + 18

Length of path = 74 ft.

More about the triangle link is given below.

https://brainly.com/question/25813512

28 - f =30.5 What is the value of f

Answers

Answer:

-2.5

Step-by-step explanation:

28 - f = 30.5

-f = 30.5-28

-f=2.5

f=-2.5

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{28 - f =30.5}[/tex]

[tex]\large\textsf{Or you can say: \textsf{-f + 28 = 30.5}}[/tex]

[tex]\rm{SUBTRACT\ 28\ to\ BOTH\ SIDES}[/tex]

[tex]\mathsf{-f + 28 - 28 = 30.5 - 28}[/tex]

[tex]\rm{CANCEL\ out: 28 - 28\ because\ that\ gives\ you\ 0}[/tex]

[tex]\rm{KEEP: 30.5 - 28\ because\ that\ helps\ solve\ for\ your\ f-value}[/tex]

[tex]\mathsf{30.5-28=\bf 2.5}[/tex]

[tex]\rm{New\ EQUATION: -f = 2.5}[/tex]

[tex]\textsf{When we have a variable by itself, it is usually understood as an invisible 1 }[/tex]

[tex]\rm{DIVIDE\ -1\ to\ BOTH\ SIDES}[/tex]

[tex]\mathsf{\dfrac{-f}{-1}=\dfrac{2.5}{-1}}[/tex]

[tex]\rm{CANCEL\ out: \dfrac{-1}{-1}\ because\ that\ gives\ you\ 1}[/tex]

[tex]\rm{KEEP: \dfrac{2.5}{-1}\ because\ it\ gives\ you\ the\ f-value\ result}[/tex]

[tex]\mathsf{f =\dfrac{2.5}{-1}}\\\\\large\text{or you can say}\downarrow\\\\\mathsf{2.5\div -1=\bf f}[/tex]

[tex]\uparrow\textsf{SIMPLIFY ABOVE AND YOU WILL HAVE YOUR RESULT OF \bf F}\uparrow[/tex]

[tex]\boxed{\boxed{\large\text{Amswer: \huge \bf f = -2.5}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Is it possible to boost your math average of 6-7 percent in a week of homework and participating.

Answers

yes just do everything and study and u'll do fine :)

depending on where you go, just last night alone i brought grades up to 70%

please help me with full calculation

Answers

9514 1404 393

Answer:

  a. 12

  b. 15

  c. (2, -2.5)

Step-by-step explanation:

a. The points lie on a horizontal line, so the distance between them is the difference of their x-coordinates: 4 -(-8) = 12 units.

__

b. The length BD is the diagonal of the rectangle. Its length is given by the distance formula as ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((-8 -4)^2 +(-7 -2)^2) = √((-12)^2 +(-9)^2) = √(144 +81) = √225

  d = 15

The distance between B and D is 15 units.

__

c. The midpoints of AC and BD are the same:

  (A +C)/2 = ((-8, 2) +(4, -7))/2 = (4, -5)/2 = (2, -2.5)

  (B +D)/2 = ((4, 2) +(-8, -7))/2 = (4, -5)/2 = (2, -2.5)

Point (2, -2.5) can be used to locate the lake.

Other Questions
Students were asked whether they walk, drive, or ride the bus to school. The results. by gender, are shown in the table.Walk Drive Ride BusMale 30 60 10Female 20 50 30Select all the statements that illustrate conditional probability?A. of all students, the probability of choosing a male.B. Of the students who walk, the probability of choosing a female.OC. of all students, the probability of choosing a male who walks.D. Of the females. the probability of choosing one who rides the bus.E. Of all students, the probability of choosing a student who drives. someone pls help! Exponential function fis represented by the table.-2-1012f(x)-46-22-10-4-1Function g is represented by the equation.Ig(x) = -1818(1) + 2Which statement correctly compares the two functions on the interval [-1, 2]?.Both functions are increasing, but function fincreases at a faster average rate.OB.Only function fis increasing, but both functions are negative.OC.Both functions are increasing, but function g increases at a faster average rate.OD.Only function fis increasing, and only function fis negative. what is 10000000000+10000000000 If x and y are two supplementary angles whereas m Draw polygon ABCD in this coordinate plane down bellow The diagram shows a cubeAh=11.3cn correct to the nearest millimetre calculate the lower bound for the length of an edge of the cub you must show all your working What was chinas motive in joining world war 1 alongside the allies *****HELP******Most Favored Nation (MFN) status and national treatment are also included in the Agreement on Trade-Related Aspects of Intellectual Property Rights (TRIPS). True or False Find sec 0, sin 0, and tan 0, where is the angle shown in the figure.Give exact values, not decimal approximations. Solve the inequality 4(x 3) 7 < 2(x 3). 5. Find the area of the composite figure * In the organizational structure of a hotel, a person who works as a room attendant would report to the executive housekeeper general manager resident manager uniformed service manager What is the value of w? what initiative are you implementing to ensure that children uses social media platforms appropriately A disk-shaped platform has a known rotational inertia ID. The platform is mounted on a fixed axle and rotates in a horizontal plane with an initial angular velocity of D in the counterclockwise direction as shown. After an unknown time interval, the disk comes to rest. A single point on the disk revolves around the center axle hundreds of times before the disk comes to rest. Frictional forces are considered to be constant.In a different experiment, the original disk is replaced with a disk for which frictional forces are considered to be negligible. The disk is set into motion such that it rotates with a constant angular speed. As the disk spins, a small sphere of clay is dropped onto the disk, and the sphere sticks to the disk. Required:Write down the claims which are correct about the angular momentum and the total kinetic energy of the disk-sphere system immediately before and immediately after the collision. The highest common factor of 10 and 18 to find the proper spelling of a word with multiple definitions, the best resource to resource to consult would be a Explain what's happening in Step 2. The Blue-Ringed Octopus is the deadliest animal in the ocean and it is smaller than a golf ball.Please select the best answer from the choices providedTFBrainlyist i need someone who is amazing at art for help i need someone to draw for me tina-private add snap thanks bestie