The north part of the kingdom, represented by n(x)=6x^2+x−7, is being divided by a(x)=2x+3.

use long division to divide n(x) by a(x).

what is the quotient?

enter your answer as an expression, using ^ to indicate exponents, if necessary.

for example, if your answer is 42x^2+53x+64, enter it like this: 42x^2+53x+64

The correct answer is,

The quotient is 3x - 4  

Step-by-step explanation:

It is given that,

n(x) = 6x^2 + x − 7

a(x) = 2x + 3

To find n(x) by a(x)

n(x) = 6x^2 + x − 7

a(x) = 2x + 3

n(x) by a(x).  can be written as,

                       3x - 4        

2x + 3 )  6x^2 + x − 7

              6x^2 + 9x

                         -8x - 7

                        -8x - 12

                                 5

Therefore      quotient =    3x - 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.