Answer:
y= -2/3x-6
Step-by-step explanation:
y=mx+b
m=-2/3
b=-6
plug the answers in to get y= -2/3x-6
Answer:
See below.
Step-by-step explanation:
1. x = e^(x/y) Taking logs:
log x = x/y
x = y log x
Differentiating:
1 = dy/dx log x + y * 1/x
dy/dx log x = (1 - y/x)
dy/dx = (1 - y/x) / log x
dy/dx = ((x - y)/ x) / log x
dy/dx = (x - y) / x log x)
2. y^x = e ^(y - x)
Taking logs:
x log y = y - x --------------(A)
y = x + x logy --------------(B)
dy/dx = 1 + x * 1/y * dy/dx + 1*logy
dy/dx - dy/dx * x/y = 1 + log y
dy/dx ( (x - y) y)) = 1 + log y
dy/dx = y(1 + log y) / (y - x)
Using (A) and (B) :-
dy/dx = x(1 + logy)(1 + logy) / x logy The x's cancel, so:
dy/dx = (1 + logy)^2 / log y
Sorry I have to go right now..
The rest of the answers are on the re-post of these questions
10%
This is because the original probability of getting a green marble is 1/3. There are 7 green marbles out of 21 which simplifies to that ratio.
The second probability is 3/10 since there will be 6 green marbles left out of 20 total marbles. This simplifies to that ratio.
Now we multiply the two ratios together.
1/3 * 3/10 = 3/30 or 1/10, which is equal to 10%
