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Alexxandr [17]
3 years ago
15

Write as one inequality with an absolute value.

Mathematics
1 answer:
Serjik [45]3 years ago
6 0
3|x-2|+1 = 16 is an inequality with an absolute value.
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Set up and evaluate the optimization problems. (Enter your answers as comma-separated lists.) Find two positive integers such th
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Answer and Step-by-step explanation:

Let x and y be two positive integers and their sum is 14:

X + y = 14

And the sum of square of this number is:

f = x2 + y2

 = x2+ (14 – x)2

Differentiate with respect to x, we get:

F’(x) = [ x2 + (14 – x)2]’ = 0

        2x + 2(14-x)(-1) = 0

        2x +( 28 – 2x)(-1) = 0

     2x – 28 +2x = 0

        2x + 2x = 28

         4x = 28

       X = 7

Hence, y = 14 – x = 14 -7 = 7

Now taking second derivative test:

F”(x) > 0

For x = y = 7,f reaches its maximum value:

(7)2 + (7)2 = 49 + 49

                   = 98

F at endpoints x Є [ 0, 14]

F(0) = 02 + (14 – 0)2

       =  196

F(14) = (14)2 + (14 – 14)2

  = 196

Hence the sum of squares of these numbers is minimum when x = y = 7

And maximum when numbers are 0 and 14.

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Michael made 9/12 of his free throws at practice. What is 9/12 in simplest form?
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Answer:

ok so first ur gonna do 4x3=12 then

Step-by-step explanation:

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Step-by-step explanation:

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A coin has two sides, which means it has a 1/2 chance of landing on each individual side when you flip the coin. Since there is a 1/2 chance of landing on each side, you could expect the coin to land on "Heads' 75 times. 
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