VW = 9
VX is the whole line
VW and WX makes up VX so:
VW + WX = VW, or:
(4x - 7) + (3x) = (5x + 1); add 3x
7x - 7 = 5x + 1; subtract 5x
2x - 7 = 1; add 7
2x = 8; divide 2
x = 4
Now Put 4 in for VW:
(4(4)-7); multiply
(16-7)
9
Answer:
I thibk the answer to A. 375.00 and B. 2,000
Step-by-step explanation:
i may be wrong. fact check me in the comments
Answer:
![\frac{dy}{dx}=-[(\frac{5x+24}{36x-6x^2})]](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D-%5B%28%5Cfrac%7B5x%2B24%7D%7B36x-6x%5E2%7D%29%5D)
Step-by-step explanation:
Given function:
y =![\ln(\frac{(6 - x)^{\frac{3}{2}}}{x^{\frac{2}{3}}})](https://tex.z-dn.net/?f=%5Cln%28%5Cfrac%7B%286%20-%20x%29%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%7D%7Bx%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%29)
we know
= ln(A) - ln(B)
thus,
y = ![\ln((6 - x)^{\frac{3}{2}}) - \ln(x^{\frac{2}{3}})](https://tex.z-dn.net/?f=%5Cln%28%286%20-%20x%29%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%29%20-%20%5Cln%28x%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%29)
or
also,
ln(Aⁿ) = n × ln(A)
thus,
y = ![(\frac{3}{2})\times\ln(6 - x) - (\frac{2}{3})\times\ln(x)](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B2%7D%29%5Ctimes%5Cln%286%20-%20x%29%20-%20%28%5Cfrac%7B2%7D%7B3%7D%29%5Ctimes%5Cln%28x%29)
therefore,
![\frac{dy}{dx}=[(\frac{3}{2})\times\frac{1}{(6-x)}\times(0 - 1)] - [ (\frac{2}{3})\times\frac{1}{x}\times1]](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D%5B%28%5Cfrac%7B3%7D%7B2%7D%29%5Ctimes%5Cfrac%7B1%7D%7B%286-x%29%7D%5Ctimes%280%20-%201%29%5D%20-%20%5B%20%28%5Cfrac%7B2%7D%7B3%7D%29%5Ctimes%5Cfrac%7B1%7D%7Bx%7D%5Ctimes1%5D)
or
![\frac{dy}{dx}=-(\frac{3}{2(6-x)}) - (\frac{2}{3x})](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D-%28%5Cfrac%7B3%7D%7B2%286-x%29%7D%29%20-%20%28%5Cfrac%7B2%7D%7B3x%7D%29)
or
![\frac{dy}{dx}=-[(\frac{3(3x)+2\times2(6-x)}{2(6-x)\times(3x)})]](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D-%5B%28%5Cfrac%7B3%283x%29%2B2%5Ctimes2%286-x%29%7D%7B2%286-x%29%5Ctimes%283x%29%7D%29%5D)
or
![\frac{dy}{dx}=-[(\frac{5x+24}{36x-6x^2})]](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D-%5B%28%5Cfrac%7B5x%2B24%7D%7B36x-6x%5E2%7D%29%5D)