A ball is dropped from a height of 5m. After each bounce it rises to 35% of its previous height. After how many bounces does the ball reach a Height of less than 50cm?

After the third bounce the ball reaches a height of less than 50cm.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, and it's called common ratio. The nth term of a geometric sequence is given by:

In which is the first term and r is the common ratio.

A ball is dropped from a height of 5m.

This means that

After each bounce it rises to 35% of its previous height.

This means that

Thus

After how many bounces does the ball reach a Height of less than 50cm?

50cm = 0.5m. This is n for which . Thus

Rounding up:

After the third bounce the ball reaches a height of less than 50cm.

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

-4, -2, 1, 4

step-by-step explanation:

domain = x values

range = y values