The discriminant for a quadratic polynomial gives you information about the polynomial's roots.
Given
, the discriminant is given by
.
There are three possible conclusions you can draw. If
, then the quadratic has two distinct real roots. If
, then there is one repeated real root. If
, then there are two complex (non-real) roots.
Since you found
, that means that
has two distinct real roots.
1/8 is your answer
Because When we enter 1/2 of 1/4 into the formula, we get:
(1 x 1) / (2 x 4) = 1/8
Therefore, the answer to 1/2 of 1/4 in its lowest form is:
1/8
52 mph (like what the other person said ^ you divided the two)
This statement is true.
Examples:
5.5/-1.1= -5
3.6/-1.2= -3
If dividing by a negative decimal, the sign of the answer will be opposite to the dividend.
When dividing by a positive, the sign of the answer will be the same as the dividend.
Answer:
The highest height that can be reached is 
feet.
Step-by-step explanation:
The height is .
Therefore, the maximum height is the -coordinate of the vertex.
When an equation is in standard form, , we can use the following formula to compute the 
-coordinate of the vertex:
.
So let's compare our equation to 
, this gives us:
.
Let's begin the -coordinate computation of the vertex:
(Multiply by 10/10)
To find the corresponding -coordinate of the vertex given the -coordinate, we just replace in with giving us:
I will put the right hand side into my calculator:
The highest height that can be reached is feet.
