Extra points! i'm factoring using the decomposition method and at the last step but i don't understand! : y = x(2x + 12) + 1(4x + 24)

y=2 (x+6) (x+2)

Step-by-step explanation:

y = x(2x + 12) + 1(4x + 24)

factor out a 2 from the first term and a 4 from the second term

y = 2x(x+6) + 4(x+6)

now factor out the (x+6) term

y = (x+6) [2x+4]

your two terms are (x+6) and (2x+4)

the last terms can have a 2 factored out

(x+6) 2(x+2)

2 (x+6) (x+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.