X+2y≤6  with x≥0 and y≥0 
2x+y≤6
1st) Find the 1st  shaded region: 1st Quadrant since x≥0 and y≥0
2nd) Let's find the x and y intercepts of 2x+y = 6
x-intercepts for y = 0 , x=6 →A(3,0)
y-intercepts for x = 0 , y =3→B(0,6) . Now Join AB
2nd shaded region
3rd) Let's find the x and y intercepts of x+2y = 6
x-intercepts for y = 0 , x=6 →C(6,0)
y-intercepts for x = 0 , y =3→D(0,3) . Now Join CD
3rd shaded region
4th) Now let's calculate the coordinate of the intersection point of
x+2y=6 and
2x+y =6  Solving it will give you x = 2 and y = 2 (coordinates of the intersection of AB with DC, le be E. (4th shaded region).
Re write all pairs:
A(3,6), B(0,6), C(6,0), D(0,3), E(2,2). Now plug in each pairs with the equation:
F= 5x + 2y
For A(3,6), →→F=15+12 = 25
For B(0,6), →→F=0+12 = 12
For C(6,0), →→F=30+0 = 30
For D(0,3), →→F=0+6 = 6
For E(2,2), →→F=20+4 = 14
So the max value of F= 5x+2y is 30 at C(6,0)
Hope that I didn't make any mistake
        
             
        
        
        
Answer:

a = 1
b=0
c= -16
i assume the next question is to factor that...
(x-4)(x+4)
Step-by-step explanation:
 
        
             
        
        
        
Answer:65 cm
Step-by-step explanation:
 
        
             
        
        
        
Answer:
B.
Step-by-step explanation:
To factor trinomials, you need two numbers that multiply together to give you the third term and add together to give you the second term.
What are two factors that multiply to get 42 and add to get 13? These factors are 6 and 7.
Write the factorization as such:
(x+7)(x+6)
(x+7) is choice B.