Which of the following ordered pairs could not be included in this set if its a function? (-4,2) (3,6) (4,3) (?,?) (-4,-3)
(1,2)
(3,6)
(-3,6)

Given:

The set of ordered pair (-4,2), (3,6), (4,3), (?,?).

To find:

The ordered pairs that could not be included in this set if its a function.

Solution:

We know that, a relation or a set of ordered pairs is a function if there exist a unique output (y-value) for each input (x-value).

If (-4,-3) point is included in the given set of ordered pair, then we have for .

Since there are more than one output value at , therefore the given set of ordered pairs will not be a functions after including the point (-4,-3).

If points (1,2), (3,6) and (-3,6) are included in the given set of ordered pair, then there exist a unique output for each input.

So, the given set of ordered pairs will be a functions after including the points (1,2), (3,6) and (-3,6).

Therefore, the correct option is A.

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it

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 ☺