1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vekshin1
3 years ago
5

If a+b+c=9 and ab+bc+ca=23 then a^3+b^3+c^3-3abc =?

Mathematics
1 answer:
Naddika [18.5K]3 years ago
5 0

Answer:

Step-by-step explanation:

a³  +b³ + c³ - 3abc =(a +  b + c)(a² + b² + c² - [ab+bc+ac] )

                              =  9 (a² + b² + c²- 23)

You might be interested in
After substituting, what is the first step when evaluating 4y+9/7 when y=8
kenny6666 [7]

Answer:

  multiply 4 and 8 to get 32

Step-by-step explanation:

After substituting, the expression is ...

  4·8 +9/7

The order of operations tells you to do multiplication and division before addition and subtraction. You do them left-to-right. The multiplication on the left is 4·8, so you do that first. The result is ...

  32 + 9/7

Now, you can do the division:

  32 + (1 2/7)

And, finally, the addition:

  33 2/7

___

Or, you could skip the division and go straight to adding a whole number and a fraction:

  (32·7 +9)/7 = (224+9)/7 = 233/7

7 0
3 years ago
True or False: No matter which factors you start with, you will always end up with the same numbers in the end using prime facto
seropon [69]

Answer:

True

Step-by-step explanation:

In Prime factorization, we are expected to obtain factors that are prime numbers that can multiply themselves to give the original number. So long as the first factor can divide the number without a remainder, other remaining factors can be multiplied together to give the original number.

Prime factorization of the number, 15 goes thus;

15/3=5

5/5=1

3*5=15

So, all the factors multiply to give the original number.

8 0
3 years ago
Write 3/10ths as a decimal​
s344n2d4d5 [400]
.3
Whenever finding a decimal out of a fraction divide the numerator by the denominator.
8 0
3 years ago
Read 2 more answers
For } (x) = 4x+1 and g(x) = x2 -5, find (f/g)(x)
matrenka [14]

Answer:

Step-by-step explanation:

                                                           4x + 1

The quotient   (f/g)(x) is    (f/g)(x) = ---------------

                                                          x^2 - 5

Note that x^2 means "square of x," whereas "x2" is ambiguous.

7 0
3 years ago
Aiden bought some noteboks and book covers for the upcoming school year.He bought a total of 13 items.Each notebook costs $1.37,
Darina [25.2K]
1.37x + 1.08y = 16.36
x + y = 13

x = 13 - y
1.37* (13-y) + 1.08y = 16.36
17.81 - 1.37y + 1.08y = 16.36
1.08y - 1.37y = 16.36 - 17.81
-0.29y = -1.45
y = 5

x + 5 = 13
x = 13-5
x = 8

He bought 8 notebooks and 5 book covers
8 0
3 years ago
Other questions:
  • The shadow of a statue is 200 ft long while the shadow of a student is 4 ft long if the student is 6 ft tall how tall is the sta
    12·1 answer
  • 'Polonium-210 is a radioactive substance with a half-life of 138 days. If a nuclear
    10·1 answer
  • The graph shows the distance cars A and B travel.
    10·2 answers
  • Answer the following questions in complete sentences.
    8·1 answer
  • please hurry write a vector equation of a line that passes through p(-4,12) and is parallel to q=(14,-8)
    7·1 answer
  • Find a vector b if:<br> It has the same direction as 2,-1<br>and has<br>length of 3 units​
    10·1 answer
  • I need help fast thank you!!
    5·2 answers
  • I need help thank you
    9·1 answer
  • What is the value of angle K to the nearest What is the value of angle K to the nearest tenth?
    13·1 answer
  • I need help quick! (number 7, NOT 8!)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!