Help with this math problem

Option 3

Step-by-step explanation: x

3−8 is the difference of two cubes and can be factored in the following pattern.

a3−b3=(a−b)(a2+ab+b2) a3 factors to ab3 factors to be

The pattern of the signs follows the acronym SOAP

S = same sign as the cubes

O = opposite sins of the cubes

AP = always positive x3 factors to x8 factors to 2x3−8=(x−2) (x2+4x+4).

a. the are of the rectangle is 18.25

b. 18.25 times two is 36.50

rae me : d

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.