9514 1404 393
Answer:
1/(3x) =(x -2)/(4x^2 +9)
Step-by-step explanation:
The denominator cannot be factored further, so the final form will be ...
A/(3x) + (Bx +C)/(4x^2 +9)
The value of this is ...
(A(4x^2 +9) +(3x)(Bx +C))/(3x(4x^2 +9))
= ((3B+4A)x^2 +3Cx +9A)/(3x(4x^2 +9))
Equating coefficients gives ...
3B+4A = 7
3C = -6 ⇒ C = -2
9A = 9 ⇒ A = 1
Using the found value of A, we find ...
3B +4 = 7 ⇒ B = 1
Then the decomposition is ...
![\dfrac{7x^2-6x+9}{3x(4x^2+9)}=\boxed{\dfrac{1}{3x}+\dfrac{x-2}{4x^2+9}}](https://tex.z-dn.net/?f=%5Cdfrac%7B7x%5E2-6x%2B9%7D%7B3x%284x%5E2%2B9%29%7D%3D%5Cboxed%7B%5Cdfrac%7B1%7D%7B3x%7D%2B%5Cdfrac%7Bx-2%7D%7B4x%5E2%2B9%7D%7D)
Step-by-step explanation:
The bike cost $199 to get $199 you do a number line then label 520 then at the end label 321 so then you do -20 then -100 then -50 then -20 then -9. so now you add them up 20+100+50+20+9 which equals =199
so bike cost $199
then 520%×199= 1034.8
or 520%×321=1669.2
so the percentage is 1669.2 or 1034.8 probably 1669.2 but they bot count.
I don't really know but he spent 36$ ?