Given a polynomial 
and a point 
, we have that
We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of
Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be
To fix the correct value for a, we impose 
:
And so we must impose
So, the function we're looking for is
It will take 13.33 days to fill it to 6,000 gallons.
Answer:
4.428 hours
Step-by-step explanation:
If the learning rate is 0.81, the slope of the learning curve is:
The time it takes to produce the n-th unit is:
If T1 = 8 hours, the time required to produce the seventh unit will be:
It will take roughly 4.428 hours.
Answer:
The factored area of the rectangle=2(2w-5)
Area of a rectangle=length×width
Step-by-step explanation:
Area of rectangle is 4w - 10 square units
We have to factor the expression
Area of rectangle = 4w - 10
common factor=2
Area of rectangle = 2(2w - 5)
Thus the given expression is factored
Area of a rectangle=length × width
Area of the rectangle=2×(2w-5)
Thus, it is safe to say
The length=2 or (2w-5)
The width=(2w-5) or 2
