How to solve each inequality and graph it's solution

Step-by-step explanation:

First, graph the "equals" line, then shade in the correct area.

There are three steps:

1) Rearrange the equation so "y" is on the left and everything else on the right.

2) Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

3) Shade above the line for a "greater than" (y> or y≥)

or below the line for a "less than" (y< or y≤).

hope this helpled :)

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for