If one factor of 21xy^3-15x^2y^2 is 3xy^2, what is the other factor

The other factor = 7y - 5x

Step-by-step explanation:

If one factor of 21xy^3-15x^2y^2 is 3xy^2, other factor will be achieved by dividing the expression by the known factor

21xy^3-15x^2y^2 ÷ 3xy^2

Factorise the numerator

3xy^2( 7y - 5x )/3xy^2

3xy^2 will cancel each other

The other factor = 7y - 5x

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.

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0