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Consider two nonnegative numbers x
Prove that if x and y are nonnegative real numbers, then (x+y)/2 ≥ sqrt(xy).
Use the technique of working backward from the
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Meg
1,259 views
Let $x$ and $y$ be nonnegative real numbers. Find the smallest real number $k$ such that
\[\sqrt{x} + \sqrt{y} \le k \sqrt{x +
1 answer
asked by
becky
150 views
If true, prove. If false, provide just a counterexample:
a. For every function f from nonnegative integers into nonnegative
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asked by
huing
505 views
Suppose a, b, c are nonnegative numbers, and 3a + 2b + c = 5, 2a + b − 3c = 1. Find the Maximum value of S = 3a + b − 7c.
1 answer
asked by
Steve
727 views
Simplify. All variables represent nonnegative numbers.
1. 3^√8m^3 2. (a^2b^4)^1/23^√b^6 3. 3^√27x^6
2 answers
asked by
Anonymous
611 views
Given that xy = 3/2 and both x and y are nonnegative real numbers, find the minimum value of 10x + 3y/5
2 answers
asked by
Eric
1,572 views
Let $x$ and $y$ be nonnegative real numbers. If $x^2 + 3y^2 = 18$, then find the maximum value of $x + y$.
1 answer
asked by
Melanie
125 views
Let $x$ and $y$ be nonnegative real numbers. If $x^2 + 5y^2 = 30$, then find the maximum value of $x + y$.
1 answer
asked by
Fiona
33 views
Express the number 25 as a sum of two nonnegative numbers whose product is as large as possible.
2 answers
asked by
Sandhya
3,108 views
How should two nonnegative numbers be chosen so that their sum is 1 and the sum of their squares is as large as possible? As
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asked by
Adolfo/Kristi
839 views