Answer:
-5
Step-by-step explanation:
The y coordinate of the vertex is -5.
The simultaneous equations are
2x - 7y = 4 (1)
3x + y = -17 (2)
Write (2) as
y = - 3x - 17 (3)
Substitute (3) into (1).
2x - 7(-3x - 17) = 4
2x + 21x + 119 = 4
23x = -115
x = -5
This is the equation obtained after substituting y from the second equation into the first equation.
The solution for y is
y = -3(-5) - 17 = -2
Answer: x = -5
Note: The solution is x = -5, y = -2.
Answer:
12
Step-by-step explanation:
Answer:
Step-by-step explanation:
The hardware store has 200 paintbrushes. They order 9 boxes with 12 paintbrushes each. This means that the total number of paintbrushes that was ordered is
12 × 9 = 108
Therefore, the total number of paintbrushes that the store has would be
200 + 108 = 308
They sell 11 boxes that have 6 paintbrushes each. This means that the total number of paintbrushes that they sold is
11 × 6 = 66
Therefore, the number of paintbrushes left would be
308 - 66 = 242
The manager's estimate is reasonable. They ordered about 120 paintbrushes and sold about 60 of them so they should have about 60 more paintbrushes than they started with.
