Multiply the polynomials (7x2+5x+7)(4x-6)

 54x - 20x^2 - 128

Step-by-step explanation: (7*2+5x+7) (4x-6)

= (14+5x+7) (4x-6)

= (21 + 5x) (4x - 6)

= 21(4x-6) +5x(4x-6)

= 84x - 128 + 20x^2 - 30x

= 84x -30x -20x^2 -128

= 54x - 20x^2 - 128

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.