Switch y and x: x =16y^2 + 1
Solve for y: x-1=16y^2
16y =+-√(x-1)
y =+-√(x-1)/16
Answer:
Statement 1
The graph has a minimum.
This statement is true. The graph has a minimum at x = -1 that is f(-1) = -9.
Statement 2
The graph has a maximum.
The statement is false. As there is no downward curve nor a rigid endpoint but the graph is continuous in upward direction.
Statement 3
The graph has zeros of -4 and 2.
The statement is true because f(-4) = 0 and f(2) = 0.
Statement 4
The vertex is located at (-1, -9).
The statement is true as apparent in the graph.
Statement 5
The solution of the quadratic function represented by the graph is (-1, -9).
The statement is false. Solution of the graph is at the point where f(x) becomes zero. At (-1,-9), f(x) = -9. Hence solution is not at point (-1,-9).
Statement 6
The y-intercept of the graph is (0, -8).
The statement is true. y-intercept of a graph is where the graph intercept the y-axis which means x = 0. As x = 0 at (0, -8), it is the y-intercept of the graph.
You have to complete the squares on both the x terms and the y terms in order to solve this. Move the 20 over to the other side so it's negative. Group the x terms together and complete the square to get (x^2+2x+1) and then do the same with the y terms: (y^2-4y+4). You have to add 1 and 4 to other side with the 20 to get a 25. Then create 2 perfect square binomials within each x and y value to get the vertex coordinates: (x+1)^2 + (y-2)^2 = 25. This tells us that the vertex is located at (-1, 2) and the radius is the square root of 25 which is 5.So the answer is the first choice above.
The volume 
of a cone with base radius 
and height 
is
Similarly, the volume 
of a sphere with radius 
is
We know that 
and that 
So, we can set up the following equation:
We can simplify the common denominator 3, and pi appearing on both sides:
We can divide both sides by 4:
Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.
Answer:
10
Step-by-step explanation:
