These tables represent a quadratic function with a vertex at (0,3). What is the
average rate of change for the interval from x = 7 to x = 8?

answer:

C

Step-by-step explanation:

Continuing the pattern on the right table, that is subtract 2, thus

Interval    Average rate of change

5 to 6                    - 11

6 to 7                    - 13 ← subtract 2 from previous value

7 to 8                    - 15 ← subtract 2 from previous value

Thus the average rate of change in the interval 7 to 8 is - 15 → C

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !