A sports tournament has 7 elimination rounds to crown a champion. After each round, only half of the teams make it to the next round. The table below shows the number of teams in each round of the tournament. Round x 1 2 3 4 5 6 7
Teams f(x) 64 32 16 8 4 2 1

Compute the average rate of change of f(x) from x = 3 to x = 5, and describe what it represents.

a. Avg. Rate of Change = 6.
This represents the average rate at which teams were added from round 3 to round 5.

b. Avg. Rate of Change = 6.
This represents the average rate at which teams were eliminated from round 3 to round 5.

Selected:c. Avg. Rate of Change = - 6.
This represents the average rate at which teams were eliminated from round 3 to round 5.

This answer is correct.
d. Avg. Rate of Change = - 6.
This represents the average rate at which teams were added from round 3 to round 5.

Last one hope this works

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

C