So here you want to show all values greater than the parabola shown. The following parabola can be found by looking at the x intercepts. Here you have x=-3 and x=2. So your parabola can be defined as y=(x+3)(x-2) because when you make those two equal to zero you get x=-3 and x=2. And so then you go ahead and do the FOIL method for both of them when you multiply and you get
y=x²-2x+3x-6 which is
y=x²+x-6
Because the parabola is shaded above, it indicates that all the values greater than y are shaded and it’s with a solid line, therefore your answer for this inequality would be choice B. I hope this helps!!
Answer:
D
Step-by-step explanation:
Given the 2 equations
4x + 8y = 21 → (1)
y = -
x + 3 → (2)
Substitute y = -
x + 3 into (1)
4x + 8(-
x + 3 ) = 21 ← distribute parenthesis on left side
4x - 4x + 24 = 21 ( subtract 24 from both sides )
0 = - 3 ← not possible
This indicates the system has no solutions
The blue dot is equal to -5