Factor completely.

y^2 - 12y + 32

a.
(y + 4)(y + 8)
b.
(y - 4)(y - 8)
c.
(y + 18)(y + 2)
d.
(y - 18)(y - 2)

B

Step-by-step explanation:

Given

y² - 12y + 32

Consider the factors of the constant term (+ 32) which sum to give the coefficient of the y- term (- 12)

The factors are - 4 and - 8, since

- 4 × - 8 = 32 and - 4 - 8 = - 12, thus

y² - 12y + 32 = (y - 4)(y - 8) → B

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 ☺