Determine whether the equation defines y as a function of x. (see example 9.) 5x + 4y = 20

Strictly speaking, the equation does NOT define y as a function of x. It defines a relationship that x and y must satisfy. It can be solved for y so that it does define y as a function of x:

... y = (20 -5x)/4

However, if we take as a working definition of a function the notion that it is an equation that yields exactly one value of y for each value of x put into it, then we probably have to say the equation DOES define y as a function of x.

Your choice of answers likely depends on what you see in Example 9.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.