Answer:
Step-by-step explanation:
Your equation makes no sense.
I will ASSUME you mean
y = -x² - 2x + 3
which can be factored
y = (x + 3)(-x + 1)
x intercepts occur when y = 0
0 = (x + 3)(-x + 1)
which means either
x + 3 = 0
x = -3
or
-x + 1 = 0
x = 1
x intercepts are (-3, 0) and (1, 0)
The vertex will occur halfway between these point
x = (-3 + 1) / 2 = -1
so vertex = y = -(-1)² - 2(-1) + 3 = 4
(-1, 4)
Answer:
86
Step-by-step explanation:
i dont really kbow why but i think it 86
You need 32 ounces of the bleach, because there are 32 ounces in a quart.
Answer:
x = 4 ; y = 8
Step-by-step explanation:
we can use a system of two equation
x+1 = y-3
y-5 = 2x-5
we can find x in the first equation
x = y -4
we can now substitute x with this value in the second equation
y-5 = 2(y-4)-5
y = 2y-8
y = 8
we can now find x
x = 8-4 = 4
verify
2(4)-5 = 3
8-5 = 3
8-3 = 5
4 + 1 = 5
Try this way:
1. note, that in such tasks mass of <u>pure</u> copper before merging and after merging is the same (this is the base);
2. If the mass of pure copper in alloy with 40% solution is 'x' and the mass of pure copper in alloy with 80% solution is 'y', then It means before merging was x/0.4 and y/0.8, after merging was (x+y)/0.7. It is one equation of the future system.
3. Using 120 kg. of 70% solution, it is possible to define mass of pure copper after merging, 120*0.7(=84 kg.). And before merging it was 'x+y' kg. of pure copper. It is the second equation of the future system.
4. according to the items no.2&3 (to make up the system of two equations and solve it). All the details are in the attached picture.
5. pure copper in 40% solution is 12 kg., pure copper in 80% solution is 72 kg. It means, that the copper alloy with 40% solution is x:0.4=12/0.4=30 kg., and the copper alloy with 80% solution is y:0.8=72/0.8=90 kg.