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andrezito [222]
3 years ago
14

2. 6x + 29 = 5 (1 point)-4-18204-144​

Mathematics
2 answers:
Pepsi [2]3 years ago
5 0

Answer:

x = -4

Step-by-step explanation:

6x + 29 = 5

     +29      -29

------------------------

6x = -24

÷6      ÷6

---------------

x = -4

6(-4) = -24 + 29 = 5

lana [24]3 years ago
5 0
The answer is 4 , hope this helps
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7/8 of a cake

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3 years ago
(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

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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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2 years ago
Find two numbers a and b whose sum a+b is −1, and whose difference a−b is 1.
fiasKO [112]
The a is 1 and the b is 0
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2 years ago
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