Answer:
C
Step-by-step explanation:
68 - 80 / 80
= - 12 / 80
= - 3 / 20
= - 15%
You don't have a question in there but I can tell you that the quadratic formula that is shown is not quite correct.
<span>x = -b ± √b2 - 4ac 2a
For one thing, the first 3 terms should ALL be divided by 2a
The square root symbol should be extended from b^2 through 4ac
The division symbol is missing.
So the quadratic formula SHOULD read:
x = [-b +- sq root (b^2 - 4ac) ] / 2a
Also I have attached a graphic of the quadratic formula.
</span>
Answer:
x = $34.45
Step-by-step explanation:
Solution:-
The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

We are to determine the profit maximizing selling price ( x )
From the properties of a parabola equation of the form:

The vertex ( turning point ) or maximum/minimum point is given as:

The profit maximizing selling price of widgets would be x = $34.45.
Answer:
1) (2x - 3)(x + 5)
2) 1.5, -5
3) Open upwards from both ends
4) Minimum
Step-by-step explanation:
Step 1:
The given polynomial is:

Taking out commons, we get:

This is the factorized form of the polynomial.
Step 2:
The zeros of the functions occur when the function is equal to zero.
i.e.

This means, the zeros of the polynomial are 1.5 and -5
Step 3:
The end behavior of a graph depends on its degree and the sign of leading coefficient. Since the degree is even and the coefficient is positive the graph of the polynomial will opens upwards from left and right side.
Step 4:
The given polynomial is a quadratic function with positive leading coefficient. Since it open vertically upwards, its vertex will be the lowest most point. So, the vertex will be the minimum of the function.