Which of the following relations represents a function? a. {(1, 1), (1, 2), (1, 3)} b. {(1, 1), (2, 1), (3, 1)} c. {(1, 1), (2, 2), (3, 3)} d. both b and c.

D. Both B and C.

Step-by-step explanation:

For an ordered pair relation to represent a function, then none of the first coordinate must repeat.

In other words, no two or more ordered pairs should have the same first coordinate.

For options A, the first coordinate repeated.

For options B and C, none of the first coordinates repeat.

Both represent a function.

The correct choice is D

option D.

Step-by-step explanation:

A function is defined as a relation in which do no exist two values of y (output values) to  a same value of x (input value):

In option A the relation is . You can observe that for the same value x have three distinct values of y, therefore this is not a function.

In option B the relation is . You can observe that the values of x have sames values of y, but there are not two values of y for a same value of x. Then this relation is a function,

In option C the relation is . You can observe that the values of x have distinct values of y, therefore this is  a function.  

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is