( 6x ^2 - x + 3 ) +( - 2x + x^2 - 7 )

7x² - 3x - 4

Step-by-step explanation:

Step 1: Write expression

(6x² - x + 3) + (-2x + x² - 7)

Step 2: Combine like terms (x²)

7x² - x + 3 - 2x - 7

Step 3: Combine like terms (x)

7x² - 3x + 3 - 7

Step 4: Combine like terms (constants)

7x² - 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.