Answer:
The correct option is 3.
Step-by-step explanation:
The given equation is
It can be written as
Taking out the common factor form the parenthesis.
If an expression is defined as then we add to make it perfect square.
In the above equation b=6.
Add and subtract 3^2 in the parenthesis.
.... (1)
Add 32 on both sides.
The vertex from of a parabola is
.... (2)
If a>0, then k is minimum value at x=h.
From (1) and (2) in is clear that a=2, h=-3 and k=-32. It means the minimum value is -32 at x=-3.
The equation reveals the minimum value for the given equation.
Therefore the correct option is 3.
<em>there are 208 cups in 13 gallons.</em>
Answer:
area is length x width multiply one side by the other
Step-by-step explanation:
The U and inverted U symbols, ∪ and ∩, are mathematical symbols used to denote union or intersection, respectively. For example, when a rational algebraic equation is graphed, there may be some points where the equation is undefined. Visually, we see it as breaks or discontinuities. We use the ∪ symbol to express union. For example, {-∞,2)∪(4,+∞). That means that the graph passes at all x values except x=3.
The ∩ symbol is used for intersection of two lines, for instance. When equation A and equation B are graphed, they can intersect at points (x,y). It is therefore expressed as: A∩B = (x,y).