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igor_vitrenko [27]
3 years ago
12

Type the ordered pair that is the solution to these questions. X=5y 2x-3y=14

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0
The answer will be (10,2) because of the substitution method.
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Is it possible that vectors v1, v2, v3 are linearly dependent, but the vectors w1 = v1 + v2, w2 = v2 + v3 and w3 = v3 + v1 are l
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Since v_1,\ v_2,\ v_3 are linearly dependent, there exist coefficients \alpha_1,\ \alpha_2,\ \alpha_3 such that

\alpha_1v_1+\alpha_2v_2+\alpha_3v_3=0

Now, a linear combination of the new vectors would look like this:

\beta_1w_1+\beta_2w_2+\beta_3w_3 = \beta_1(v_1+v_2)+\beta_2(v_2+v_3)+\beta_3(v_1+v_3)

Which simplifies to

(\beta_1+\beta_3)v_1+(\beta_1+\beta_2)v_2+(\beta_2+\beta_3)v_3

So, any linear combination of w_1,\ w_2,\ w_3 is also a linear combination of v_1,\ v_2,\ v_3. This implies that we can choose the coefficients for a linear combination that will give the zero vector.

In particular, if \alpha_1,\ \alpha_2,\ \alpha_3 are the coefficients such that

\alpha_1v_1+\alpha_2v_2+\alpha_3v_3=0

we can choose

\beta_1+\beta_3=\alpha_1,\quad \beta_1+\beta_2=\alpha_2,\quad \beta_2+\beta_3=\alpha_3

And we have

\beta_1w_1+\beta_2w_2+\beta_3w_3 = 0

6 0
4 years ago
Is 11/24 an repeating number or an terminate?
Olin [163]

Answer:

repeating decimal/number

Step-by-step explanation:

If you divide 11 by 24, you get 0.458333333...

The 3 gets repeated, so 11/24 is a repeating decimal/number

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3 years ago
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Answer:

1) 1 | 3, 5, 8

2| 2, 4, 6, 6

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Step-by-step explanation:

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6 0
3 years ago
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How many times could 6 go into 49
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approximately 8.16 times

Step-by-step explanation:

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The set of natural numbers is: infinite finite
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A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number.

Step-by-step explanation:

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