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BlackZzzverrR [31]
3 years ago
6

Let A be the set of all binary strings of length four. Define a function that maps A to the set {0, 1, 2, 3, 4} by letting f(s)

be what you get when you add up the digits making up the string s. Then the function f is not one-to-one

Mathematics
1 answer:
coldgirl [10]3 years ago
3 0

Answer:

  see the attachment

Step-by-step explanation:

One way to define the function is to list the output for each possible input. That is done below.

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What constant do you need to add to each quadratic to complete the square? 1. x2 - 4x = 0 4 2. x2 - 8x = 6 9 3. 3x2 + 18x = 24 1
Radda [10]
1) You must add 4 to each side to complete the square.
2) You must add 16 to each side to complete the square.
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1) x²-4x=0
To find the number that we add to both sides, we look at b, the cofficient of x.  It is -4. We divide it by 2 and square it; -4/2 = -2; (-2)² = 4.  This is the value that we add to both sides.

2) x²-8x=6
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We add 16 to each side to complete the square.

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First we can factor a 3 out of the left side:
3(x²+6x) = 24
Our b value is now 6.  6/2 = 3; 3²=9.  The 9 would, however, go in the parentheses, so it would be multiplied by 3, which makes 27; this means we would add 27 to both sides.
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