Factor completely x2 + 16.
(x + 4)(x + 4)
(x + 4)(x − 4)
prime
(x − 4)(x − 4)

The factors of x^2 + 16 are (x - 4i) and (x + 4i).

Step-by-step explanation:

That'd be x^2 + 16, not x2 + 16.  

First, an easier example:  x^2 - 16 factors into (x - 4)(x + 4).

Note how (-4)(4) = -16.

The corresponding factors of x^2 + 16 are (x - 4i) and (x + 4i).

We can check this result through multiplication:  (x - 4i)(x + 4i) = x^2 - 4ix + 4ix - 16(-1), or x^2 + 16.

sinn is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

step-by-step explanation:

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 ☺