Answer: there aren't any x intercepts.
Step-by-step explanation:
The function doesn't touch the x-axis only the y-axis giving that there aren't any x intercepts. The y intercepts is (0,5).
It would be...C?? I'm not sure but I think it's right. Brainliest?
D. 1/4
Explanation:
a perfect square is written in the form
(1)
In our problem, we have this perfect square:
(2)
with C being unknown. However, by comparing (1) and (2), we know that
![2a=-1](https://tex.z-dn.net/?f=2a%3D-1)
So, we find
![a=-\frac{1}{2}](https://tex.z-dn.net/?f=a%3D-%5Cfrac%7B1%7D%7B2%7D)
and therefore, the missing term must be
![a^2 = \frac{1}{4}](https://tex.z-dn.net/?f=a%5E2%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
so the complete square is
![x^2 -x +\frac{1}{4}](https://tex.z-dn.net/?f=x%5E2%20-x%20%2B%5Cfrac%7B1%7D%7B4%7D)
The function is graphed as shown below
Part A:
We use the formula
![- \frac{b}{2a}](https://tex.z-dn.net/?f=-%20%5Cfrac%7Bb%7D%7B2a%7D%20)
to find the vertex of the function. A quadratic function of the form of
![a x^{2} +bx+c](https://tex.z-dn.net/?f=a%20x%5E%7B2%7D%20%2Bbx%2Bc)
and equating this form to the given function
![- x^{2} +20x-75](https://tex.z-dn.net/?f=-%20x%5E%7B2%7D%20%2B20x-75)
, we have
![b=20](https://tex.z-dn.net/?f=b%3D20)
and
![a=-1](https://tex.z-dn.net/?f=a%3D-1)
.
Substituting
![a](https://tex.z-dn.net/?f=a)
and
![b](https://tex.z-dn.net/?f=b)
into the vertex formula, we have
![x=- \frac{20}{2(-1)}=10](https://tex.z-dn.net/?f=x%3D-%20%5Cfrac%7B20%7D%7B2%28-1%29%7D%3D10%20)
, as shown in the graph
This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos
Part B:
We can find solution to this equation by factorising
![- x^{2} +20x-75=0](https://tex.z-dn.net/?f=-%20x%5E%7B2%7D%20%2B20x-75%3D0)
![-( x^{2} -20x+75)=0](https://tex.z-dn.net/?f=-%28%20x%5E%7B2%7D%20-20x%2B75%29%3D0)
![x^{2} -20x+75=0](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20-20x%2B75%3D0)
![(x-5)(x-15)=0](https://tex.z-dn.net/?f=%28x-5%29%28x-15%29%3D0)
![x=5](https://tex.z-dn.net/?f=x%3D5)
and
![x=15](https://tex.z-dn.net/?f=x%3D15)
, as shown in the graph
The two values means that the company makes no profit when they either produce 5 or 15 photos
9x8y12 it a lot of work to do so I don't want to type how to do the problem