Answer:
dy/dx = -5y - y/x
Step-by-step explanation:
In xy + 5x = 30
Differentiating xy implicitly
y + xdy/dx
Assuming u = xy
In xy = In u
Differentiating In u = 1/u = 1/xy
Differentiating 5x = 5 and differentiating a constant (30) = 0
1/xy(y + xdy/dx) + 5 = 0
(y + xdy/dx)/xy = -5
(y + xdy/dx) = -5xy
xdy/dx = -5xy - y
dy/dx = = (-5xy - y)/x
dy/dx = -5y - y/x
1. Convert the mixed numbers into improper numbers (-3 2/5 = -17/5 and 8 1/5 = 41/5). Then add 17/5 to both sides when means b=58/5
2. Multiply both sides by the reciprocal of -7/3 (which is -3/7). So n=18
You need to state the original function(s) to find the additional roots.
Answer:
5x + 3y = 95
8x + 6y = 170
x = 10 ; y = 15
Step-by-step explanation:
Let :
x = pack of juice boxes
y = pack of water bottles
Pack of juice box = $5
Pack of water bottles = $3
Amount of money spent :
5x + 3y = $95
Number of drinks purchased :
8x + 6y = 170
Using both equations ;
5x + 3y = 95 - - - (1)
8x + 6y = 170 - - - (2)
Multiply (1) by 6 and (2) by 3
30x + 18y = 570
24x + 18y = 510
Subtract :
6x = 60
x = 60 / 6
x = 10
Put x = 10 in (1)
5(10) + 3y = 95
50 + 3y = 95
3y = 95 - 50
3y = 45
y = 45 / 3
y = 15
x = 10 ; y = 15
Answer:
C
Step-by-step explanation:
I hope i got it correct :)
