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slava [35]
3 years ago
8

629x - 476 = 237,286. Find x.

Mathematics
2 answers:
melamori03 [73]3 years ago
7 0
The answer is that 378 is x...
Semmy [17]3 years ago
3 0
This is pretty simple-ish, if you think about it. All we're doing is working backwards. 

237,286 + 476 = 237,762 

237,762/629 = 378. 

We could even check it again, if you want. 

378*629 = 237,762 

237,762 - 476 = 237, 286. 

Therefore, x = 378.
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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}

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3 years ago
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Mrrafil [7]

Answer:

Step-by-step explanation:

54 equals 9 more than a number

So if we do this, we get

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54-9=x

54-x = 9

3 0
3 years ago
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