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Yuri [45]
3 years ago
12

Help pleaseeeeeeeeeee​

Mathematics
1 answer:
Nostrana [21]3 years ago
7 0
Seniors have the higher hourly pay rate and seniors make more money

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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
3 years ago
Which inequality is equivalent to 7x-2y>8?
Crazy boy [7]
7x-2y\ \textgreater \ 8  \\  7x-8 \ \textgreater \ 2y   /:2  \\   \frac{7}{2} x -4\ \textgreater \ y  \\  y\ \textless \  \frac{7}{2} x-4
4 0
3 years ago
Which expression is equivalent to 16x +42y?
V125BC [204]

Find the Greatest Common Factor (GCF)

GCF = 2

Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2(16x/2 + 42y/2)

Simplify each term in parenthesis

<u>C. 2(8x + 21y) </u>

4 0
3 years ago
Given the endpoint (4, −2)and midpoint (9, 4), find the other endpoint.
marissa [1.9K]

Answer:

Step-by-step explanation:

(x + 4)/2 = 9

x + 4 = 18

x = 14

(y-2)/2 = 4

y - 2 = 8

y = 10

(14, 10)

4 0
3 years ago
What is 55 percent of 80 proportion
stiks02 [169]
The answer is 44.

All u have to do is multiply 80 * 55% and u get 44, hope this helps.
5 0
3 years ago
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