Simplify the following expressions: 10x + 6 + 2(x + 5)
6 - 5(x + 2)
-2x - 10(2 + 4x)
6 - (x + 3)
3x - (x + 10) + 12

10x + 6 + 2(x + 5) =

= 10x + 6 + 2x + 10 = 12x + 16

6 - 5(x + 2) = 6 - 5x - 10 = -5x - 4

-2x - 10(2 + 4x) =

= -2x - 20 - 40x = -42x - 20

6 - (x + 3) = 6 - x - 3 = -x + 3

3x - (x + 10) + 12 =

= 3x - x - 10 + 12 = 2x + 2

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 ☺

i think it is c hope that