If a+b+c=6,ab+bc+ca=11,then what is a3+b3+c3-3abc

Answers

Answer 1

(a+b+c)^3=a^3 +b^3+c^3-2(ab+ac+bc)

216=a^3+b^3+c^3-2(11)

a^3+b^3+c^3=238

but ıdk how can ı find -3abc :/

Answer 2
Answer:  18

===============================================

Work Shown:

a+b+c = 6

(a+b+c)^2 = 6^2

(a+b+c)(a+b+c) = 36

a(a+b+c)+b(a+b+c)+c(a+b+c) = 36

a^2+ab+ca+ab+b^2+ca+bc+c^2 = 36

a^2+b^2+c^2+2ab+2bc+2ca = 36

a^2+b^2+c^2+2(ab+bc+ca) = 36

a^2+b^2+c^2+2*11 = 36

a^2+b^2+c^2+22 = 36

a^2+b^2+c^2 = 36-22

a^2+b^2+c^2 = 14

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

a^3+b^3+c^3-3abc = (a+b+c)*(a^2+b^2+c^2 - (ab+bc+ca) )

a^3+b^3+c^3-3abc = 6*(14 - 11)

a^3+b^3+c^3-3abc = 18


Related Questions

Determine whether the equation represents a direct variation. If it​ does, find the constant of variation. 4y=3x+5

Answers

Answer:

Step-by-step explanation:

Draw the line given the x-intercept: 3 y-intercept: -6

Answers

Answer:

draw the line from the -6 in the y axis to the 3 in the x axis

15 points!! easy question please help, need it asap! will mark brainliest to whoever gets it right, please!!

Answers

Answer:

x = 6

Step-by-step explanation:

find the x value for one triangle then times it by 2

Pythagorean Theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]

[tex]c=\sqrt{13}[/tex]

[tex]a=2[/tex]

Square c and subtract a from it.

[tex]13-4 = 9[/tex]

square root 9 to get have of the x value, then multiply it by 2

[tex]2\sqrt{9}=6[/tex]

[tex]x=6[/tex]

A ream of a certain brand of paper weighs about 3.225 pounds. A ream contains 500 sheets of paper. How much does a sheet of paper​ weigh?

Answers

Answer:

about 0.00645 pounds

Step-by-step explanation:

3.225 / 500 = 0.00645

Answer:

A single paper should weigh about 0.00645

Step-by-step explanation:

All you really need to do is divide 3.225 by 500.

2. Given that (ab - c) + d = e
Solve for a

Answers

Ab-c=e-d
Ab=e-d+c
A=e-d+c/b

A taxi cab charges $1.50 for the flat fee and $0.50 for each mile. Write an inequality to determine how many miles Sharon can travel if she has $25 to spend

Answers

Answer:

agree with previous answer

6 1/4 - 2 3/8 explain

Answers

it is 3.875

if you subract the two fraction it makes 31/8. then devide it which makes 3.875

Answer;

Explanation: 31/8 or 3 7/8

6 1/4 = 25/4
2 3/8 = 19/8

25/4 - 19/8
= 50/8 - 19/8
= 31/8

Which of the following ratios are equivalent to 60%?
Check all that apply.
O A. 4:6
OB. 10:20
O C. 12:36
O D. 3:5
O E. 15:25

Answers

Answer:

D. 3:5 and E. 15:25

Step-by-step explanation:

If it is 60%, it means that the ratio is 6:10 (60/100).

Because both 6 and 10 are divisible by 2, we can then simplify the ratio to 3:5.

Therefore it is D. 3:5

We can then multiply both sides by 5 which will give us 15:25, so E is also correct.

The others of not correct because they are not equivalent to the ratio 3:5.

Hope this helped!

Can someone explain how to solve g(x)=x-6

Answers

Answer:

you cant solve that y=x-6 is not a solve able question it's just a function,do you mean how to graph it

1. Simplify the expresdion.
(1 Punto)
43 - ( 18 + 3)

Answers

Maybe use a calculator?

.Write the product of 4x104

Answers

Answer:

416

Step-by-step explanation:

What is -3 to the power of 5?

Answers

Answer:

-243

Step-by-step explanation:

-(3)^5

-3 x -3 x -3 x - 3 x - 3

=>-243

1. Given: AB = 64; M lies on the line AB

AM = 4x + 4 BM= 6x-10

Prove: M is a midpoint.

Statements: Reason:
1) M lies on AB 1) Given
AB= 64
2) AM+MB=AB 2) ?

3) 4x+4+6x-10=64 3) ?

4) 10x- 6 = 64 4) ?

5) 10x=70 5) ?

6) x = 7 M 6) ?

7) AM= 4(7) + 4 7) substitution
MB = 6(7) - 10

8) AM=32 and 8) simplify
Mb = 32.

9) M is a midpoint. 9) ?


Reasoning bank for #1

Addition Property of equality
Combine like terms
Definition of midpoint.
Division property of equality
Segment addition postulate



Answers

Answer:

Step-by-step explanation:

Given the following lengths AB = 64, AM = 4x + 4 and BM= 6x-10, If M lies on the line AB  then AM+MB = AB (addition property)

Substituting the given parameters into the addition property above;

AM+MB = AB

4x + 4 + 6x - 10 = 64

combine like terms

4x+6x = 64+10-4

10x = 74-4

10x = 70

Divide both sides by 10

x = 70/10

x = 7

Note that for M to be the midpoint of AB then AM must be equal to BM i.e AM = BM

To get AM ;

Since AM = 4x+4

substitute x = 7 into the function

AM = 4(7)+4

AM = 28+4

AM = 32

Similarly, BM = 6x-10

BM = 6(7)-10

BM = 42-10

BM = 32

Since AM = BM = 32,. then M is the midpoint of AB

l= a+(n-1)d

SOLVE FOR N ​

Answers

Answer:

[tex]n = \frac{l-a}{d}+1[/tex]

Step-by-step explanation:

[tex]l= a+(n-1)d\\[/tex]

[tex]l -a =(n+1)d[/tex]

Divide both sides of the equation by d

[tex]\frac{l-a}{d} = \frac{(n-1)}{d}\\ \\\frac{l-a}{d} = n-1\\\\\frac{l-a}{d}+1 = n[/tex]

6. State the absolute maximum using the correct notation. Start answer with abs max: Please do not put any spaces in answer.​

Answers

Answer:3.5:80

Step-by-step explanation:

common sense

The answer answer answer 3.5:80

Solve each equation –7x = 63

Answers

-7x=63

-x=63/7

-x=9

-9x

you have to dived 63 by -7 which is -9

x=-9

15 = 2x – 10 step and solution

Answers

Answer:

12.5 =x

Step-by-step explanation:

15 = 2x – 10

Add 10 to each side

15+10 = 2x – 10+10

25 = 2x

Divide by 2

25/2 = 2x/2

12.5 =x

Answer:

25/2

Step-by-step explanation:

2x-10=15

  +10 +10

2x=25

divide both sides by 2 to get 25/2

Subtract. (3x+3)–(3x+3)

Answers

your answer will be 0.

convert 2000m to centimeters​

Answers

Answer:

200,000cm

Step-by-step explanation:

1m = 100cm

2000m = ?

2000 × 100 = 200,000cm

2,00,000cm

Step-by-step explanation:

1m= 100cm

2000m=?

2000m= 2000× 100 cm

= 2,00,000cm

Solve the literal equation y = 12x - 5cx for x

Answers

Answer: x=y/(12-5c)

Step-by-step explanation:

To solve for x, we need to use algebraic properties.

We notice that each term on teh right side contains an x. We can factor out an x.

y=12x-5cx                      [factor out x]

y=x(12-5c)                      [divide both sides by 12-5c]

x=y/(12-5c)

what is the value of 8 to the power of 0

Answers

Answer:

1

Step-by-step explanation:

:)

The set of factors below show the common factors of which set of numbers?

Set: 1,2,4,8

Answers

Answer:

C

Step-by-step explanation:C

The teacher has 125 pencils they want to arrange in y amount of containers in the class. Write an expression to show how many pencils will be in each container.

Answers

Answer:

125/y

Step-by-step explanation:

Answer:

[tex]\frac{125}{y}[/tex]

Step-by-step explanation:

If you have 125 pencils and you have [tex]y[/tex] amount of containers, then you want to get an equal number of pencils in each container.

What operation do we know of that finds an equal distribution across a certain number of groups? Division! That can help us equally split a number into how many parts we need.

Division can be represented in two ways: with a division sign [tex]\div[/tex] or as a fraction [tex]\frac{x}{y}[/tex].

You'll find the that the division sign will be used a lot less during Algebra and you'll mainly stick to fractions.

If we are dividing 125 into [tex]y[/tex] groups, then our fraction is [tex]\frac{125}{y}[/tex].

Hope this helped!

Find the domain of fg. f(x)=x+2 g(x)=1/x+2 a. all real numbers b. all real numbers, except 2 c. all real numbers, except -2 d. (-2,0) U [2, -2)

Answers

Answer:

all real numbers

Step-by-step explanation:

the domain will always be all real numbers

Last week, Donnell practiced the piano 3 hours longer than Marcus. Together, Marcus and Donnell practiced the piano for 11 hours. For how many hours did each young man practice the piano?​

Answers

Answer:

4 hours and 7 hours

Step-by-step explanation:

Marcus = x hours

Donnell = x + 3 hours

Total = 11 hours

x + x + 3 = 112x + 3 = 112x = 8x = 4

So Marcus practiced 4 hours and Donnell practiced  7 hours

Answer:Marcus=4 Donnell=7

Step-by-step explanation:11-3=8

8÷2 =4

4+3=7 hours used by Donnell

Remaining 4 hours is used by Marcus

-2(k - 5) + 2k = 5k + 5​

Answers

K=1

-2k + 10 + 2k = 5k + 5

10 = 5k + 5

5= 5k

K= 1

HELP!! 13 POINTS OFFERED

Answers

15=5
•140=140
x+140=180
x=40
Answering is A

FIRST ANSWER GETS BRANLIEST!!

Answers

Answer:

(0,0)

Step-by-step explanation:

Let's think about how the graph of this would look.

We know that y will be [tex]x^2[/tex], meaning that if x was 0, y would be 0.

If x was 1, y would be 1

If x was 2, y would be 4.

Now let's think about negative numbers.

If x was -1, y would be 1 (since [tex]-1^2 = 1[/tex]

If x was -2, y would be 4 (since [tex]-2^2 = 4[/tex]).

This means that our graph would turn at the point where x and y are equal (excluding 1,1)

This is 0,0.

So 0,0 is the turning point of this graph.

Hope this helped!


1. If 4 = ( p – 2 ) then the solution of p = ------
2.In the expression x/4 = 2/3 what is the value of the x

Answers

Answer:

x = 8/3

Alternative form

x = 2 2/3, x = 2.6

Step-by-step explanation:

First, simplify the equation using cross-multiplication

3x = 8

then divide both sides of the equation by 3 and there's your answer

x = 8/3

I WILL MAKE BRAINLEST!!!!!!
Order the numbers from least to greatest. 1=least and 4=greatest LaTeX: \sqrt{\frac{9}{4}}9 4 LaTeX: \sqrt{5}5 LaTeX: 2.52.5 LaTeX: \frac{5}{3}5 3

Answers

Answer:

[tex] \sqrt{\frac{9}{4}} [/tex] < [tex] \frac{5}{3} [/tex] < [tex] \sqrt{5} [/tex] < 2.5

Step-by-step explanation:

Given the following numbers, [tex] \sqrt{\frac{9}{4}}, \sqrt{5}, 2.5, and, \frac{5}{3} [/tex], let's express each as whole or decimal numbers, to find out the least to the greatest.

[tex] \sqrt{\frac{9}{4}} = \frac{\sqrt{9}}{\sqrt{4}} [/tex]

[tex] \frac{3}{2} = 1.5 [/tex]

[tex] \sqrt{5} [/tex] ≈ 2.2

2.5 (already in decimal form)

[tex] \frac{5}{3} [/tex] ≈ 1.7

From the least to the greatest, we have:

[tex] \sqrt{\frac{9}{4}} [/tex] < [tex] \frac{5}{3} [/tex] < [tex] \sqrt{5} [/tex] < 2.5

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