Which three-dimensional figure has nine edges?
1. rectangular prism
2.rectangular pyramid
3. triangular prism
4. triangular pyramid

Option 3 - A triangular prism has nine edges

Step-by-step explanation:

Given : A three-dimensional figure has nine edges.

To find : which of the following has 9 edges.

1) A rectangular prism which has 6 faces, 8 vertices, and 12 edges.  

2) A rectangular pyramid has 5 faces. Its base is a rectangle or a square and the other 4 faces are triangles, so it has 8 edges and 5 vertices.

3)A triangular prism has 5 faces, the base is a triangle. 2 of its faces are triangles and 3 of its faces are rectangles. It has 6 vertices and 9 edges.  (Notice that even once the prism sits on a parallelogram, the bottom continues to be a triangle.)  

4)  A triangular pyramid has 4 faces. All faces,  including its base, are triangles. It has 4 vertices and 6 edges .

Therefore, Option 3- A triangular prism has nine edges.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

heyyy

step-by-step explanation: