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irina [24]
3 years ago
15

What is the solution to the equation 3(x - 1) – 2(2x + 1) = 8(x - 1)?

Mathematics
1 answer:
Natali [406]3 years ago
8 0

Step-by-step explanation:

3x - 3 - 4x - 2 = 8x - 8

Solving like terms

-x - 5 = 8x - 8

Bringing like terms on one side

-5 + 8 = 8x + x

3 = 9x

3/9 = x

1/3 = x

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Fynjy0 [20]
A. 135 B. 45 C. 45 I believe or A and B are switched... so ( A. 45, B. 135)
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2 years ago
Using the bijection rule to count binary strings with even parity.
AleksandrR [38]

Answer:

Lets denote c the concatenation of strings. For a binary string <em>a</em> in B9, we define the element f(a) in E10 this way:

  • f(a) = a c {1} if a has an odd number of 1's
  • f(a) = a c {0} if a has an even number of 1's

Step-by-step explanation:

To show that the function f defined above is a bijective function, we need to prove that f is well defined, injective and surjective.

f   is well defined:

To see this, we need to show that f sends elements fromo b9 to elements of E10. first note that f(a) has 1 more binary integer than a, thus, it has 10. if a has an even number of 1's, then f(a) also has an even number because a 0 was added. On the other hand, if a has an odd number of 1's, then f(a) has one more 1, as a consecuence it will have an even number of 1's. This shows that, independently of the case, f(a) is an element of E10. Thus, f is well defined.

f is injective (or one on one):

If a and b are 2 different binary strings, then f(a) and f(b) will also be different because the first 9 elements of f(a) form a and the first elements of f(b) form b, thus f(a) is different from f(b). This proves that f in injective.

f is surjective:

Let y be an element of E10, Let x be the first 9 elements of y, then f(x) = y:

  • If x has an even number of 1's, then the last digit of y has to be 0, and f(x) = x c {0} = y
  • If x has an odd number of 1's, then the last digit of y has to be a 1, otherwise it wont be an element of E10, and f(x) = x c {1} = y

This shows that f is well defined from B9 to E10, injective, and surjective, thus it is a bijection.

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=16x%20-%20%288x%20%20%2B%206%29%20%3D90" id="TexFormula1" title="16x - (8x + 6) =90" alt="16x
Lina20 [59]

Answer:

x=12

Step-by-step explanation:

16x - (8x  + 6) =90

The first step is to distribute the - sign

16x -8x -6 =90

Now we combine the like terms

8x-6 = 90

Add 6 to each side

8x-6+6 = 90+6

8x = 96

Divide each side by 8

8x/8 = 96/8

x =12

8 0
3 years ago
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points
Vaselesa [24]

Answer:

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Step-by-step explanation:

sry if I'm wrong but it would be one of the most valid answers

5 0
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annie puts 10 dollars into a vacation jar each week.how much will she have saved by the ebd of the week
lubasha [3.4K]
Annie will have $70 because if you multiply 7 times 10 you get 70
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2 years ago
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