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Lunna [17]
3 years ago
9

Find the mean of the following data set.

Mathematics
2 answers:
Fynjy0 [20]3 years ago
5 0
The answer is B/10 trust
rosijanka [135]3 years ago
4 0

Answer:

10

Step-by-step explanation:

the sum of 8,5,15,12,10 is 50 and there are 5 numbers so 50 divided by 5 is 10 and it's mean is also 10

hope this helps !

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Solve the equation by factoring and applying the zero product property.
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Step-by-step explanation:

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find all the zeros and write a linear factorization of g(x)=x^4-8x^3+27x^2-50x+50 given that 1+2i is a zero
solmaris [256]

Answer:

g(x)= (x-(1+2i)) * (x-(1-2i)) * (x-(3-i)) * (x-(3+i))

Please see attached image

Step-by-step explanation:

We can easily solve this equation by using a technical solver or a programming language such as Octave.

The linear factorization of the equation can be obtained directly by finding the zeros of g(x)

Please see attached images for the answer to your problem

g(x)= (x-(1+2i)) * (x-(1-2i)) * (x-(3-i)) * (x-(3+i))

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How to solve these equations
MakcuM [25]

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(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13
jolli1 [7]

Answer:

y(x)=3e^{5x}-2xe^{5x}

Step-by-step explanation:

The given differential equation is y''-10y'+25y=0

The characteristics equation is given by

r^2-10r+25=0

Finding the values of r

r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5

We got a repeated roots. Hence, the solution of the differential equation is given by

y(x)=c_1e^{5x}+c_2xe^{5x}...(i)

On differentiating, we get

y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)

Apply the initial condition y (0)= 3 in equation (i)

3=c_1e^{0}+0\\\\c_1=3

Now, apply the initial condition y' (0)= 13 in equation (ii)

13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2

Therefore, the solution of the differential equation is

y(x)=3e^{5x}-2xe^{5x}

5 0
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