The answer is B add up the whole numbers and multiply the fractions so you get 4 1/8
2500/5=500 this is the unit rate
To simplify this, first, multiply the whole equation with x to get rid of the denominator.
[ x + 3/9/x + 12/6] * x
Simplify 12/6 beforehand, which is 2.
[ x + 3/9/x + 2] * x
Distribute x to each of the terms
x2 + 3/9 + 2x
This is already a simplified equation. If you wan to further simplify by getting rid of the fraction, multiply the whole equation with 9 to eliminate the denominator.
[x2 + 3/9 + 2x]*9
9x2 + 3 + 18x
9x2 + 18x + 3 =0
3.25 * 7.8 = 25.35
10^3 * 10^6 = 10^(3+6) = 10^9
so we have 25.35 * 10^9 but in scientific notation the first number mus be <10
so the answer is 2.535 * 10^10
Answer:
cos3x
Step-by-step explanation:
y" - y' + 9y = 3 sin 3x
![D^{2}y-Dy+9y=3 sin3x](https://tex.z-dn.net/?f=D%5E%7B2%7Dy-Dy%2B9y%3D3%20sin3x)
![y=\frac{3 sin 3x}{(D^{2} -D+9}=3 sin 3x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%20sin%203x%7D%7B%28D%5E%7B2%7D%20-D%2B9%7D%3D3%20sin%203x)
here
will be replaced by
where
is coefficient of x
![y=\frac{3 sin 3x}{-3^{2} -D+9}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%20sin%203x%7D%7B-3%5E%7B2%7D%20-D%2B9%7D)
![y=-3\frac{sin 3x}{D}](https://tex.z-dn.net/?f=y%3D-3%5Cfrac%7Bsin%203x%7D%7BD%7D)
![y=-3\int\ {sin 3x} \, dx](https://tex.z-dn.net/?f=y%3D-3%5Cint%5C%20%7Bsin%203x%7D%20%5C%2C%20dx)
![y=-3\frac{cos3x}{-3}](https://tex.z-dn.net/?f=y%3D-3%5Cfrac%7Bcos3x%7D%7B-3%7D)
y=cos3x
hence Particular solution is cos3x