Answer:
..................
Step-by-step explanation:
................................
Its just a matter of subbing...but keep in mind, for it to be a solution, it has to satisfy all 3 inequalities
x - y > = -4
2x - y < = 5
2y + x > 1
solutions are : (-1,3) and (3,5)
Answer:
C. 8,624
Step-by-step explanation:
recall that the formula for circumference is
Circumference = 2πr ( = given as 85 meters)
hence,
85 = 2πr
r = 85/(2π)
given h = 15m
volume of cylinder
= πr²h
= π (85/2π)² 15 (using calculator and assuming π = 3.14)
= 8628.58
Comparing with the choices, the closest choice (within rounding error) is C. 8,624
Answer:

Step-by-step explanation:
1. Blue region. The boundary blue line passes through the points (0,-7) and (3,8), then its equation is

This line is solid, so the sign for the inequality should be with the notion "or equal to".
From the diagram you can see that the origin belongs to the blue region, then its coordinates satisfy the inequality. Thus,

2. Green region. The boundary green line passes through the points (6,-1) and (0,3), then its equation is

This line is solid, so the sign for the inequality also should be with the notion "or equal to".
From the diagram you can see that the origin doesn't belong to the blue region, then its coordinates satisfy the inequality. Thus,

3. The system of linear inequalities that represents these graphs is
