Ares of a rectangular floor of your house is Ax+5x-2. if the length is x+2 units, find A

A=4.

Step-by-step explanation:

Note: In the expression of area the first term should be .

It is given that area of a rectangular floor of your house is and the length is units.

We know that, area of a rectangle is

Since length of the rectangle is , therefore is a factor of and the value of is 0 at x=-2.

Divide both sides by 4.

Therefore, the value of A is 4.

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.