Tell whether (4, 27) is a solution of y=3x+15

Yes

Step-by-step explanation:

We have two properties for our question :

(4, 27)

y = 3x + 15

We are being asked whether the point (4, 27) is a solution of y = 3x + 15

So how do we figure this out? Well, what we have to know first that (4, 27)  represents a variable, 4 which is the run on the graph, represents x in a solution. And 27 which is the rise on the graph, represents y in the solution. So when asking for a solution with two points, all we must do is substitute x and y for the two coordinates.

y = 3x + 15

y = 27 and x = 4

27 = 3(4) + 15

27 = 12 + 15

27 = 27

Since this equation is true with the respected variables, therefore signifies that (4,27) is a solution of y = 3x + 15

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.

-2 is the right