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OverLord2011 [107]
3 years ago
12

Use the drop-down menus to complete each equation so the statement about its solution is true.

Mathematics
1 answer:
slavikrds [6]3 years ago
6 0

Answer:

No solutions: 6 - 3 + 4x + 1 =_4x + _2_

One solution: 6 - 3 + 4x + 1 = _3_x + _2_

Infinite many solutions: 6 - 3 + 4x + 1 = _4_x + _4_

Step-by-step explanation:

No solutions means it results in no x and a false statement like 3 = 0.

One solution means it results in x = a number.

Infinite solutions means its results in no x and in a true statement like 3=3.

  • So to get No solutions: 6 - 3 + 4x + 1 =_4x + _2_

This will eliminate the x and result in 4 = 2 which is false.

  • One solution: 6 - 3 + 4x + 1 = _3_x + _2_

This will result in x= -2

  • Infinite many solutions: 6 - 3 + 4x + 1 = _4x + 4__

This will eliminate the x and result in 4 = 4 which is true.

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Let v be an eigenvector of a matrix A with a corresponding eigenvalue ?=2. Find one solution x of the system Ax=v.
Murljashka [212]

Answer with explanation:

For, a Matrix A , having eigenvector 'v' has eigenvalue =2

 The order of matrix is not given.

It has one eigenvalue it means it is of order , 1×1.

→A=[a]

Determinant [a-k I]=0, where k is eigenvalue of the given matrix.

It is given that,

k=2

For, k=2, the matrix [a-2 I] will become singular,that is

→ Determinant |a-2 I|=0

→I=[1]

→a=2

Let , v be the corresponding eigenvector of the given eigenvalue.

→[a-I] v=0

→[2-1] v=[0]

→[v]=[0]

→v=0

Now, corresponding eigenvector(v), when eigenvalue is 2 =0

 We have to find solution of the system

→Ax=v

→[2] x=0

→[2 x] =[0]

→x=0, is one solution of the system.

5 0
4 years ago
Use place-value patterns to complete the table. 100 is ten times as much as 1/10 of?
Eva8 [605]
100 is ten times as much as 1/10 of a hundred

ur multiplying n then dividing by ten so they cancel each other out 

theres no table so idk if this is what u wanted but that's the answer
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\\ \sf\longmapsto \dfrac{d}{dx}2xe^x

  • Apply product rule

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\\ \sf\longmapsto 2x\dfrac{d}{dx}e^x+e^x\dfrac{d}{dx}2x

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\\ \sf\longmapsto 2e^x(x+1)

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Answer:

Step-by-step explanation:

I think it may look like this?

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Answer:

Step-by-step explanation:

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