(3n)/(2-n)=(n)/(n+4) Solve the proportion.

n = 0 or n = -5/2

Step-by-step explanation:

We'd like to solve this equation for n: .

Cross-multiply and distribute:

(2 - n) * n = (n + 4) * 3n

2n - n² = 3n² + 12n

Move everything to one side:

3n² + n² + 12n - 2n = 0

4n² + 10n = 0

Factor our 2n:

2n * (2n + 5) = 0

By the Zero Property of Multiplication, either 2n = 0 or 2n + 5 = 0 to make this equation true:

2n = 0               OR               2n + 5 = 0

n = 0/2 = 0        OR                  2n = -5  ⇒  n = -5/2

Thus, n = 0 or n = -5/2.

~ an aesthetics lover

Step-by-step explanation:

(3n)/(2-n)=(n)/(n+4); n≠2; n≠-4

3n(n+4)=n(2-n)

=> 3n²+12n=2n-n²

4n²+10n=0

2n(2n+5)=0

n=0; n= -5/2

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

ddd

step-by-step explanation: