We know that the graph goes in units of 1.
We know that the roots are -1 and 4. (Just assume it's accurate and not off by 0.0000000001.)
We can set it up as an equation: -1(x+1)(x-4) = y (I added -1 because there are two parabolas that go through those points on the x-axis, and since this parabola is facing down, I must add a negative a value.
Then multiply (F.O.I.L. - First, Outer, Inner, Last)
x^2 -4x + x - 4 = -(x^2 - 3x - 4) = -x^2 + 3x + 4
Then using -(b/2a) solve for vertex: -(3/-2) = 3/2
Plug 3/2 back into the equation.
-(3/2)^2 + 3(3/2) + 4 = -9/4 + (9/2) + 4 = 25/4
The vertex would be: (3/2, 25/4)
Axis of symmetry would be: x = 3/2
Ok so to find the slope meaning how much quarts can be made in 1 hour you'd need to divide 140 by 7, if you do so you'll find 20. (20 quarts are made in an hour)
Now you can multiply 20 by 12, which is 240.
So, in 12 hours : 240 quarts of ice cream is made.
The value of w is 5 units
Step-by-step explanation:
Let l be the length of the rectangle
and w be the width
Then
l = 2w - 1

Dividing both sides by 6

Hence
The value of w is 5 units
Keywords: Perimeter, rectangle
Learn more about perimeter at:
#LearnwithBrainly
Answer:
Thank U
Step-by-step explanation: