Answer:
![y=(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})](https://tex.z-dn.net/?f=y%3D%28102x-306-5%5Csqrt%7B3774%7D%29%28102x-306%2B5%5Csqrt%7B3774%7D%29)
Step-by-step explanation:
You first equate it to zero to get:
![-1.02(x-3)^2+9.25=0](https://tex.z-dn.net/?f=-1.02%28x-3%29%5E2%2B9.25%3D0)
Then solve using square root method
![-1.02(x-3)^2=-9.25](https://tex.z-dn.net/?f=-1.02%28x-3%29%5E2%3D-9.25)
![(x-3)^2=\frac{-9.25}{-1.02}](https://tex.z-dn.net/?f=%28x-3%29%5E2%3D%5Cfrac%7B-9.25%7D%7B-1.02%7D)
![(x-3)^2=\frac{925}{102}](https://tex.z-dn.net/?f=%28x-3%29%5E2%3D%5Cfrac%7B925%7D%7B102%7D)
![x=3\pm\sqrt{\frac{925}{102}}](https://tex.z-dn.net/?f=x%3D3%5Cpm%5Csqrt%7B%5Cfrac%7B925%7D%7B102%7D%7D)
Or
![x=3\pm{\frac{5\sqrt{3774}}{102}}](https://tex.z-dn.net/?f=x%3D3%5Cpm%7B%5Cfrac%7B5%5Csqrt%7B3774%7D%7D%7B102%7D%7D)
![x={\frac{306\pm5\sqrt{3774}}{102}}](https://tex.z-dn.net/?f=x%3D%7B%5Cfrac%7B306%5Cpm5%5Csqrt%7B3774%7D%7D%7B102%7D%7D)
Now work it backwards
![102x-(306\pm5\sqrt{3774})=0](https://tex.z-dn.net/?f=102x-%28306%5Cpm5%5Csqrt%7B3774%7D%29%3D0)
![(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})=0](https://tex.z-dn.net/?f=%28102x-306-5%5Csqrt%7B3774%7D%29%28102x-306%2B5%5Csqrt%7B3774%7D%29%3D0)
Hence the factored form is:
![y=(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})](https://tex.z-dn.net/?f=y%3D%28102x-306-5%5Csqrt%7B3774%7D%29%28102x-306%2B5%5Csqrt%7B3774%7D%29)
Part A: About 0.21
We will put the wanted outcome (yellow pieces of candy) over the total number of possible outcomes (total pieces of candy).
![\frac{5}{3+6+5+2+8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%2B6%2B5%2B2%2B8%7D)
![\frac{5}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B24%7D)
About 0.21
Part B: About 50
First we will do the same as we did with the yellow pieces of candy, wanted outcomes over possible outcomes.
![\frac{6}{3+6+5+2+8}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B3%2B6%2B5%2B2%2B8%7D)
![\frac{6}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B24%7D)
0.25
Now, we will multiply the total 200 pieces by 0.25 since 0.25 of them are estimated to be green.
200 * 0.25 = 50
I estimate about 50 of the pieces to be green.
I agree with the last dude
I don’t know what your trying to find but you basically create an equation, like this
3x+5x=80
and solve which would result in x=10
so there is
30 geckos
and
50 anole lizards
Answer:
2 ROUTE 113
Step-by-step explanation:
Pythagorean theorm.
Factor it out.
Simplify the radical.