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butalik [34]
3 years ago
7

Use expressions for odd integers to confirm the conjecture that the product for two odd integers is an odd integer.

Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0

k, n - integers  

2k+1  - an odd integer

2n+1  - another odd integer

The product of them:

  (2k + 1)(2n + 1) =

= 4kn + 2k + 2n + 1 =

= 2(2kn + k + n) + 1

The product of integers (2kn) is integer

and the sum of them (2kn+k+n) also is integer

So  (2k + 1)(2n + 1)  = 2(2kn + k + n) + 1  is an odd integer

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What is the value of y in the solution to the following system of equations?
lukranit [14]

Answer:

Option D is the correct answer.

Step-by-step explanation:

The equations are:

5x - 3y = -11     Eqn 1

2x - 6y = -14     Eqn 2

We have to find the value of y so we will eliminate x.

Multiplying Eqn 1 by 2

2(5x-3y=-11)

10x-6y=-22     Eqn 3

Multiplying Eqn 2 by 5

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Subtracting Eqn 4 from Eqn 3

(10x-6y)-(10x-30y)= -22-(-70)

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24y = 48

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Therefore,

Option D is the correct answer.

4 0
3 years ago
Determine the dimensions of the screen of a 42-inch TV with a 4:3 aspect ratio.
Nitella [24]

For this case, the first thing you should do is know that the measurement of a television is given by the diagonal of the television.

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Answer:

the dimensions of the screen are: 33.6* 25.2

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