Answer:
Vertex form: 
The vertex is 
Step-by-step explanation:
For a general quadratic function the form is:
For the function
The values of the coefficients for the function are the following: 
, 
, 
Take the value of b and divide it by 2. Then, the result obtained squares it.
Add and subtract 
Write the expression of the form
The vertex is
<span>I believe your answer will be 10 & 20, because they BOTH are multiples of 40, ANNNNNNNNNNNNNNNNND when added together they equal 30! =D
I hope I helped! =D</span>
Answer:
Given,
f(x)=x^2+6
g(x)=2x-1
Now,
g[f(x)]=g(x^2+6) since f(x)=x^2+6
=2(x^2+6)-1 since x > x^2+6
=2x^2+12-1
=2x^2+11
Answer:
The point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.
Step-by-step explanation:
The distance between two points (x₁, y₁) and (x₂, y₂) on the x-y plane can be calculated with:
√((x₁ - x₂)² + (y₁ - y₂)²)
So in this case, with the points (-3, 2) and (4, 0), the distance is:
√((-3 - 4)² + (2 - 0)²)
√(49 + 4)
√(53) ≈ 7.28
Since 7.28 > 5, the point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.
