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2 years ago

Find the value of 14/8 + 15/12

Mathematics

1 answer:

n200080 [17]2 years ago

5 0

Answer:

The value of $\frac{14}{8} + \frac{15}{12}$ = 3

Step-by-step explanation:

Explanation

Given $\frac{14}{8} + \frac{15}{12}$

L.C.M 8 , 12 is 24

$\frac{14}{8} + \frac{15}{12} = \frac{14 X 3 + 15 X 2}{24}$

= $\frac{42 +30}{24} = \frac{72}{24} = 3$

Final answer:-

The value of $\frac{14}{8} + \frac{15}{12}$ = 3

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MA_775_DIABLO [31]

The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

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For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

$\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x$

So you have

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

This means

$16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}$
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and so the general solution would be

$y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x$

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2 years ago

Eight times the sum of a number and six is 80

Pachacha [2.7K]

8*(n+6)=80

distribute

8n+48 = 80

subtract 48 from each side

8n = 32

divide by 8

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3 years ago

Read 2 more answers