Which of the relations given by the following sets of ordered pairs is a function? a. {(1, 1), (1, 3), (1, 5), (1, 7), (1, 9)}b. {(-2, 1), (7, 5), (-4,,,-6)}c. {(1,,,4), (3,,,1)}d. {(2, -7), (6,,9), (2,0), (-5,3)}

Option B) {(-2, 1), (7, 5), (-4,0),(3,1),(0,-6)} is correct.

Step-by-step explanation:

Consider the provided information.

According to function definition: a relationship between a set of inputs and a set of possible outputs in which each input is connected to exactly one output.

Now consider the provided options:

Option A) {(1, 1), (1, 3), (1, 5), (1, 7), (1, 9)}

Here, 1 is not connected to exactly one output.

For example 1 is connected with 1, 3, 5, 7 and 9.

Thus, it is not the correct option.

Option B) {(-2, 1), (7, 5), (-4,0),(3,1),(0,-6)}

Here, each input is connected to exactly one output.

Thus, option B is correct.

Option C) {(1,2),(2,3),(3,4), (3,3),(2,2),(1,1)}

Here, 1, 2 and 3 are not connected to exactly one output.

For example 1 is connected with 1, and 2, similarly 2 is connected with 2 and 3.

Thus, it is not the correct option.

Option D) {(2, -7), (6,5),(-3,9), (2,0), (-5,3)}

Here, 2 is not connected to exactly one output.

2 is connected with -7, and 0.

Thus, it is not the correct option.

Hence, Option B) {(-2, 1), (7, 5), (-4,0),(3,1),(0,-6)} is correct.

answer: 25.4 units

step-by-step explanation: radius = 12.7 units

diameter = twice the radius

diameter = 12.7 x 2

= 25.4

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 ☺