12. In how many ways can five men and four women
be seated on a bench if the men and women must
be in alternate seats?
A. 2880
B. 2540
C. 2328
D. 2100

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.

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high

answer is 144

step-by-step explanation:

i need a picure

step-by-step explanation: