Answer:
4
Step-by-step explanation:
So, to do this, all you need to do is add up all the values, and then, with that number, divide by how many values are given.
150+165+165= 480
480/3= 160
Answer:
The solution of the given quadratic equation is 1 and (-10).
Step-by-step explanation:
![2x^2+18x=20](https://tex.z-dn.net/?f=2x%5E2%2B18x%3D20)
![x^2+9x=\frac{20}{2}](https://tex.z-dn.net/?f=x%5E2%2B9x%3D%5Cfrac%7B20%7D%7B2%7D)
![x^2+9x-10=0](https://tex.z-dn.net/?f=x%5E2%2B9x-10%3D0)
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
Solving equation by quadratic formula:
Here , a = 1,b = 9, c = (-10)
![D=b^2-4ac=(9)^2-4(1)(-10)=121](https://tex.z-dn.net/?f=D%3Db%5E2-4ac%3D%289%29%5E2-4%281%29%28-10%29%3D121)
![x=\frac{-b+{\sqrt{D}}}{2a}=\frac{(-9)+\sqrt{121}}{2(1)}=1](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%2B%7B%5Csqrt%7BD%7D%7D%7D%7B2a%7D%3D%5Cfrac%7B%28-9%29%2B%5Csqrt%7B121%7D%7D%7B2%281%29%7D%3D1)
![x=\frac{-b-{\sqrt{D}}}{2a}=\frac{(-9)-\sqrt{121}}{2(1)}=(-10)](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b-%7B%5Csqrt%7BD%7D%7D%7D%7B2a%7D%3D%5Cfrac%7B%28-9%29-%5Csqrt%7B121%7D%7D%7B2%281%29%7D%3D%28-10%29)
The solution of the given quadratic equation is 1 and (-10).
we are given a function
![f(x)=-6x](https://tex.z-dn.net/?f=f%28x%29%3D-6x)
First translation:
The graph of function is vertically stretched by a factor of 7
Whenever we vertically stretch any function by 'a' units
so, we can write it as
![g(x)=a\times f(x)](https://tex.z-dn.net/?f=g%28x%29%3Da%5Ctimes%20f%28x%29)
Here, it is vertically stretch by 7
so, we get
![g(x)=7\times -6x](https://tex.z-dn.net/?f=g%28x%29%3D7%5Ctimes%20-6x)
![g(x)=-42x](https://tex.z-dn.net/?f=g%28x%29%3D-42x)
Second translation:
Whenever we reflect any function about x-axis
we multiply y-value by -1
so, we can write it as
![g(x)=-f(x)](https://tex.z-dn.net/?f=g%28x%29%3D-f%28x%29)
Here , it is reflected in the x-axis
so, we can multiply by -1 to y-value
we get
![g(x)=-1\times -42x](https://tex.z-dn.net/?f=g%28x%29%3D-1%5Ctimes%20-42x)
.............Answer
x=8.9 because when you square it and divide you get 39.6.. rounded to 40.