Consider two nonnegative numbers x

  1. 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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    2. Meg asked by Meg
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  2. Let $x$ and $y$ be nonnegative real numbers. Find the smallest real number $k$ such that\[\sqrt{x} + \sqrt{y} \le k \sqrt{x +
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    2. becky asked by becky
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  3. If true, prove. If false, provide just a counterexample:a. For every function f from nonnegative integers into nonnegative
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    2. huing asked by huing
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  4. 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.
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    2. Steve asked by Steve
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  5. Simplify. All variables represent nonnegative numbers.1. 3^√8m^3 2. (a^2b^4)^1/23^√b^6 3. 3^√27x^6
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    2. Anonymous asked by Anonymous
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  6. Given that xy = 3/2 and both x and y are nonnegative real numbers, find the minimum value of 10x + 3y/5
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    2. Eric asked by Eric
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  7. Let $x$ and $y$ be nonnegative real numbers. If $x^2 + 3y^2 = 18$, then find the maximum value of $x + y$.
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    2. Melanie asked by Melanie
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  8. Let $x$ and $y$ be nonnegative real numbers. If $x^2 + 5y^2 = 30$, then find the maximum value of $x + y$.
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    2. Fiona asked by Fiona
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  9. Express the number 25 as a sum of two nonnegative numbers whose product is as large as possible.
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    2. Sandhya asked by Sandhya
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  10. 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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    2. Adolfo/Kristi asked by Adolfo/Kristi
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