Which order pairs are solutions of the inequality -7y +2x ≤ 3a (0,0)b (1,1)c (-3,5)

A & B

Step-by-step explanation:

-7y + 2x ≤ 3

(0, 0):      -7(0) + 2(0) ≤ 3

                  0   +   0  ≤ 3      

                        0      < 3            TRUE

(1, 1):      -7(1) + 2(1) ≤ 3

               -7   +  2   ≤ 3      

                      -5     < 3               TRUE

(-3, 5):      -7(-3) + 2(5) ≤ 3

                   21   +  10   ≤ 3      

                         31        < 3          FALSE                    

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺