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Arte-miy333 [17]
3 years ago
7

Please help me (explain how to do it and give the answer).

Mathematics
1 answer:
shutvik [7]3 years ago
7 0

Answer:

The given system of equations is ''consistent and independent''.

Step-by-step explanation:

Given the system of equations

2x-y=-3    ---- Equation A

4x-2y=-6  ---- Equation B

Please observe that each line of the system of equations can be written in two different forms

For example,

2x-y=-3    ---- Equation A

multiply Equation A by the number 2

2(2x-y) = -3×2

4x-2y = -6  ---- Equation B

So, when we multiplied Equation A by 2, we got the Equation B

We know that when the same line can be written in two different forms, then the system will be termed as the dependent system of equations and there would be infinite solutions.

In other words, it would contain the same line.

From the attached diagram, it is clear that 2x-y=-3 and 4x-2y=-6 represent the same line.

Thus,

The given system of equations is ''consistent and independent''.

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VMariaS [17]
Consider a geometric sequence (u_n)

let u_1=a and the common ratio be r, then the sequence is constructed as follows:

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In the given sequence, to find the common ratio we divide 6,561 by −2,187 and get -3. This means that r= -\frac{1}{3}

Let the first term u_1=a=6,561, 

then the eighth term is  

u_8=a* r^{7}= 6,561 (- \frac{1}{3} )^{7}= -6,561*( \frac{1}{3} )^{7}= \frac{-6,561}{2187} =-3


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4 0
4 years ago
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sasho [114]
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Hi there!

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Now let's continue with the y-intercept, which is easier. When dealing with an y-intercept we must realise the x-coordinates equal 0.

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