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
Katyanochek1 [597]
3 years ago
6

Show that the sum of the reciprocals of three different positive integers is greater than 6 times the reciprocal of their produc

t.
Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0
If a,b,c are the 3 positive integers
1/a +1/b +1/c > 6/abc
(bc+ac+ab)/abc >6/abc so
(bc+ac+ab)>6
The lowest positive integers that are different are 1,2,3 so the lowest value that (bc+ac+ab) could have is 1•2+2•3+1•3=2+6+3= 11 therefore
1/a +1/b +1/c > 6/abc is true
You might be interested in
Can someone explain to me what a “derivative” means? How do you find the derivative of f(x)=x^3+1?
Ostrovityanka [42]
The derivative is the rate of change of a function, basically represents the slope at different points. To find the derivative of the given function you can use the power rule, which means, if n is a real number, d/dx(x^n)= nx^(n-1). This is a simplification of the chain rule based on the fact that d/dx(x)=1. Anyway, this means that d/dx(x^3 + 1)= 3x^2. Here n is 3 and so it is 3*x^(3-1)= 3x^2. The derivative of x^3+1 is 3x^2.

If you are wondering what happened to the 1, for any constant C, d/dx(C)=0.
4 0
3 years ago
PLEASE HELP! THANKS!
MArishka [77]

Answer:

The question is kinda funny. I think the graph isn't correct cos a and b coordinate ain't right

8 0
2 years ago
The table shows the input and output of a function Table(input:3,4,6,11. Output:5,7,11,21) write an equation, in function nation
Anni [7]

f(x) = 2x - 1

To obtain a function we require values of x for x = 3, 4, 5 , 6, .....

The output appears to increase in steps of 2

3 → 5

4 → 7

5 → 9

6 → 11

Looking at the consecutive values of y we should see that these are twice the corresponding value of x subtract 1

f(x) = 2x - 1 ← is a possible function

checking the values for x in the input


f(3) =(2 × 3 ) - 1 = 5

f(4) = (2 × 4 ) - 1 = 7

f(6) = (2 × 6 ) - 1 = 11

f(11) = (2 × 11 ) - 1 = 21




6 0
3 years ago
The sum of 8 times a number 4 and 5 equals .
Tema [17]

Answer:

37

Step-by-step explanation:

This may look like a complicated problem but it's some simple analyzing of the problem to get the job done:

"The sum" tells that we are going to be adding together the next two phrases separated by "and"s.

That is "8 times a number 4"  <em>and</em>  "5"

Therefore, we need to add 2 groups:

(8*4) + (5)

Now, we simply use PEMDAS (or GEMDAS) to solve the expression:

(8*4) + (5)

= (32) + (5)

= 32 + 5

= <u>37</u>

5 0
3 years ago
-4(w+1)=24 solve for n
Ede4ka [16]

Answer:

-7 = w

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • A company is offering a job with a salary of $30,000 for the first year and a 2.3% raise year year after that. I know the sequen
    5·1 answer
  • Determine in which direction the parabola below opens.
    11·2 answers
  • PLease Help!!!!
    10·2 answers
  • ?????????!??!!?!?!?!?!?!?!?
    6·1 answer
  • Andy loves taking notes. He started the school year with 45 pages of notes from last year and he plans to take 2 pages of notes
    10·2 answers
  • (3-4i)(1+5i)-(2-1) <br> Please give me the correct answer
    14·1 answer
  • Write one linear equation that is Parallel to y = - 4x + 7
    11·1 answer
  • Pls help!will give brainliest!
    14·1 answer
  • 0.111111.... a rational or irrational number​
    6·1 answer
  • Part A -
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!