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Roman55 [17]
3 years ago
15

Consider the system of linear equations.

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
4 0

Answer:

The system has one solution.

Both lines have the same y-intercept.

The solution is the intersection of the 2 lines.

Step-by-step explanation:

Lines are

  • 2y=x +10

       slope = 0.5

       y intercept(put x =0) =5

  • 3y =3x +15

      slope = 1

       y intercept(put x =0 ) =5

Both are linear equation thus they have only one solution. Also two non parallel lines meet only at one point.

If you solve these linear equation coordinate of  point of intersection of line on graph will come.

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If [infinity] cn8n n = 0 is convergent, can we conclude that each of the following series is convergent? (a) [infinity] cn(−3)n
pashok25 [27]

Answer:

a) we know that this is convergent.

b) we know that this might not converge.

Step-by-step explanation:

Given the \sum^\infty_{n=0}C_n8^n is convergent

Therefore,

(a)  \sum^\infty_{n=0}C_n(-3)^n The power series \sum C_nx^n has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3

∴ \sum^\infty_{n=0}C_n(-3)^n  is convergent.

(b) \sum^\infty_{n=0}C_n(-8)^n -8 could be right on the edge of the interval of convergence, and so might not converge

8 0
3 years ago
Triangle ABC is similar to triangle DEF. how long is EF?<br> A) 4<br> B) 10<br> C) 14<br> D) 12
Andrej [43]

Answer:

The answer is D) 12

Step-by-step explanation:

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8 0
3 years ago
Will Mark Brainlest help please​
spayn [35]

Answer:

g(-1 )=-1 and g(2)+g(1)=7

Step-by-step explanation:

If g(x) = x^3+x^2-x-2 find g(-1)

if we find g(-1)

we substitute all the x's in the function with -1

-1^3+-1^2-(-1)-2

-1^3 = -1

-1^2 = 1

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(two minuses make a plus)

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0+1 = 1

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g(2)+g(1)

substitute the x's in the function with 2 and 1 and add your results

2^3+2^2-2-2

2^3 = 8, 2^2 = 4

8+4-2-2

8+4= 12, 12-2 = 10, 10-2 = 8

g(2)=8

g(1) now

1^3 + 1^2-1-2

1^3=1, 1^2 = 1

1+1-1-2

1+1 = 2, 2-1 = 1, 1-2 = -1

g(3) = -1

g(2) (which equals 8) + g(3) (which equals -1) =

8+(-1) = 7

g(2)+g(3)=7

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Answer:

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