emster128
emster128 emster128
  • 02-03-2017
  • Mathematics
contestada

Prove that for every two positive integers a and b that
\((a+b)(\frac{1}{a}+\frac{1}{b}) > or = 4\)

Respuesta :

SyntaxError
SyntaxError SyntaxError
  • 02-03-2017
[tex]\((a+b)(\frac{1}{a}+\frac{1}{b}) \ \textgreater \ or = 4\) \\ 1+a/b+b/a + 1 \geq 4 [/tex][tex]\((a+b)(\frac{1}{a}+\frac{1}{b}) \ \textgreater \ or = 4\) [/tex]

distributed 

choose 1 as your lowest positive integer

plug 1 into a and b

1 + 1 + 1 + 1[tex] \geq 4[/tex]

Answer Link

Otras preguntas

does Ag metal reacts with NaOH​
A denim shirt at a certain factory requires 4 3/5 yards of material. how many shirts can be made from 165 3/5 yards of material?
give me the answers please
For what value(s) of b does the equation below have no solution? Explain. 3x-b=3x-2
Durante diferentes épocas (time periods), maestros, médicos y banqueros ejercieron su profesión en el palacio.
Copper(I) Iodine (cul) is often added to the table salt as a dietary source of iodine. How many moles of Cul are contained in 1.00 lb (454 g) of table salt cont
2. Describe a controlled experiment you could per- form to determine whether ants are more attracted to butter or to honey?
[tex]2(x - 3y) ^{2} + 4x(x - 3y)[/tex]​
What is the best buffer at pH = 5.0? Justify your answer. a) Formic acid (pKa = 3.8) b) acetic acid (pKa = 4.76) c) ethylamine (pKa = 9.0)
HELP ASAP FOR BRAINLIEST