0.8-0.45=0.35
The bottle of nail polish can hold 0.35 more ounces
Answer:
minimum value of function is 
.
Step-by-step explanation:
Given function represents a parabola.
Now, here coefficient of 
is positive , so the parabola will be facing upwards and thus the function will be having a minimum.
Now, as we know that minimum value of a parabolic function occurs at
x = 
.
Where , b represents the coefficient of x and a represents the coefficient of .
here, a = 2 , b = -6
Thus = 
= 
So, at x = minimum value will occur and which equals
y = 2×
- 
+ 9 = .
Thus , minimum value of function is .
The standard form of a parabola is y=ax²+bx+c
use the three given points to find the three unknown constants a, b, and c:
-2=a+b+c............1
-2=4a+2b+c......... 2
-4=9a+3b+c...........3
equation 2 minus equation 1: 3a+b=0..........4
equation 3 minus equation 2: 5a+b=-2.........5
equation 5 minus equation 4: 2a=-2, so a=-1
plug a=-1 in equation 4: -3+b=0, so b=3
Plug a=-1, b=3 in equation 1: -2=-1+3+c, so c=-4
the parabola is y=-x²+3x-4
double check: when x=1, y=-1+3-4=-2
when x=2, y=-4+6-4=-2
when x=3, y=-9+9-4=-4
Yes.
Let us set up some variabe:
Use the known information:
Now lets find the area
Area = (1/2) * b *h = (1/2) * h * (2h + 8)
Hope that helps!
Answer:
One solution
Step-by-step explanation:
Let's rewrite y = 6 - 3x as y = -3x + 6
Looking at these two equations, we can see they share a y-intercept
Making our solution 6
We know there is only one solution because the equations are not the exact same, if they were we'd have infinitely many solutions
We also know there aren't no solutions because the lines are not parallel (same slopes with difference y-intercepts)
Best of luck
