3 years ago

What is 2.85 as a mixed number

Mathematics

2 answers:

sveticcg [70]3 years ago

4 0

2 85/100
The numbers with the slash in the middle is a fraction.

stepladder [879]3 years ago

4 0

2 85/100 the numbers with the slash in the middle is a fraction

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3 years ago

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Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

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3 years ago

Dwayne's family has many pets. at the house they have both cats and birds. between all the cats and birds, they have 16 eyes and

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Let C be the number of cats and B be the number of birds.
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Substituting 2B
2C + 22 - 4C = 16
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3 years ago

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