Y = (x-4)(x+20) ===> 0 = (x-4)(x+20)
that means the roots of that quadratic are x = 4 and x = -20.
now, the vertex will be between these two guys, right in between.
from -20 to 4 there are 24 units, half-way of that is 12 units, so, if we move from -20, 12 units to the right or towards 4, we'll end up at -20 + 12 = -8.
so, the vertex's x-coordinate is -8 then, what's "y" anyway?
y = (x-4)(x+20) x = -8
y = [(-8) - 4] [(-8) + 20]
y = (-12) ( 12)
y = -144
therefore, the vertex is at (-8 , -144)
9514 1404 393
Answer:
- Material 2 can deliver the highest profit of about 3,225,000
- Material 3 is profitable for the widest range of prices
Step-by-step explanation:
The graphs of profit are shown in the attachment. Each is the difference between the revenue function and the cost function.
Material 2 (blue curve) shows the highest profit.
Material 3 (green curve) shows a profit over the widest range of prices.
Answer:
14.17 kilograms
Step-by-step explanation:
Find what quantity of tomatoes was in each batch by dividing the total amount of tomatoes by the number of batches:
99.19/7
= 14.17
So, the factory put 14.17 kilograms of tomatoes in each batch.
Parallel lines has equal slopes.
Line y = 3x + 2 has a slope of 3.
Required equation is y - 8 = 3(x - 5)
y = 3x - 15 + 8
y = 3x - 7
You could solve this using a proportion or just by common sense.
Proportion: 8/12 = x/126
Cross multiply: 12x = 1008
1008/12 = 84
Or the common sense route is just dividing 12 by 8 then multiplying the answer by 126. Either way, you get the same answer. Hope this helps! :)
~Ash
