Given 1+a+b+c=2abc and positivity of real numbers a,b,c, we are asked to prove that (ab)/(1+a+b)+(bc)/(1+b+c)+(ac)/(1+a+c)>=3/2 If d=a+b+c I got as far as to simplify the inequality into 1/a+1/b+1/c+1/(d−a)+1/(d−b)+1/(d−c)>=3 From a=(1+b+c)/(2bc−1) I also can prove that ab+ac+bc>=3/2 But cannot manage to get to the desired result.

Which expression has both 8 and n as factors???

One number is 2 more than 3 times another. Their sum is 22. Find the numbers
8, 14
5, 17
2, 20
4, 18
10, 12

Perform the indicated operation and simplify the result. Leave your answer in factored form
${\displaystyle \left[\frac{(4x-8)}{(-3x)}\right].\left[\frac{12}{(12-6x)}\right]}$

An ordered pair set is referred to as a ___?

Please, can u convert 3.16 (6 repeating) to fraction.

Write an algebraic expression for the statement '6 less than the quotient of x divided by 3 equals 2'.
A) $6-<!--\; -\; -->\frac{x}{3}=2$
B) $\frac{x}{3}-<!--\; -\; -->6=2$
C) 3x−6=2
D) $\frac{3}{x}-<!--\; -\; -->6=2$

Find: $2.48÷4$.

Multiplication $999\times <!--\; \times \; -->999$ equals.

Solve: (128÷32)÷(−4)=
A) -1
B) 2
C) -4
D) -3

What is ${\displaystyle 0.78888.....}$ converted into a fraction? ${\displaystyle \left(0.7\overline{8}\right)}$

The mixed fraction representation of 7/3 is...

How to write the algebraic expression given: the quotient of 5 plus d and 12 minus w?

Express 200+30+5+4100+71000 as a decimal number and find its hundredths digit.
A)235.47,7
B)235.047,4
C)235.47,4
D)234.057,7

Find four equivalent fractions of the given fraction:$\frac{6}{12}$

How to find the greatest common factor of ${\displaystyle 80x^3,30y{x}^2}$?