380-57= 323
Answer: 323 legos remain
The inequalities that are given in this item are given below,
y < 5x - 1
y ≥ -3x +4
We dropped the inequalities sign to solve for the values of x and y for the intersection.
y = 5x - 1
y = 3x + 4
Substituting the y from the first equation to the y of the second equation,
5x - 1 = 3x + 4
2x = 5
x = 5/2
Substituting for y,
y = (5)(5/2) - 1
y = 25/2 - 1 = 11.5
The intersection is (5/2, 11.5)
The solutions of the system of inequalities lie in the 3rd and 4th quadrants.
You can determine this by finding zeros of quadratic function,
.
Which eliminates first and third option.
Now we have up and down parabolas left.
If we factor 
we find that the coefficient before 
determines how it is turned, since its positive its an upward turned parabola hence the answer is the last graph.
Hope this helps.
Answer:
A
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= 3x - 2 + 2x + 1 ← collect loke terms
= 5x - 1 → A
