5. The numbers x, 17/12 and y are the first three terms of an arithmetic progression. The numbers x, 2/3 and y are three consecutive terms of a geometric progression. Determine the values of x and y.

Step-by-step explanation:

The numbers x, and y are the first three terms of an arithmetic progression.

For three consecutive terms, a, b and c of an arithmetic sequence:

The arithmetic mean,

Therefore:

The numbers x, and y are three consecutive terms of a geometric progression.

For three consecutive terms, a, b and c of a geometric sequence:

The geometric mean,

Therefore:

Substituting derived above, we have:

This is a quadratic equation which we can then solve for y.

Using a calculator, we obtain:

Therefore, the values of x and y are:

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )

11

step-by-step explanation:

32.50-7.50=25

225/25=11