Answer:
D: {(-5, -4, 2, 2, 5)}
R: {(-6, 3, 4, 1, 5)}
The relation is NOT a function.
Step-by-step explanation:
By definition:
A relation is any set of ordered pairs, which can be thought of as (input, output).
A function is a <em><u>relation</u></em> in which no two ordered pairs have the same first component (domain/input/x value) and different second components (range/output/y value).
Looking at the given points in your graph, and in listing down the domain and range, we can infer that the relation is not a function because there is an x-value (2) that has two corresponding y-values: (2, 4) (2, 1).
Another way to tell if a given set of points in a graph represents a function by doing the "Vertical line test." The graph of an equation represents y as a function of x if and only if no vertical line intersects the graph more than once. Looking at the attached image, I drew a vertical line over points (2, 4) (2, 1). The vertical line intersects the two points, which fails the vertical line test. This is an indication that the given relation is not a function.
Hello.
First, let the number be r.
5 times r is written like this:
Now, add 45:
Now, the sum of 5r+45 is equal to the sum of 85 and 140:
In order to solve this equation, we need to add 85 and 140:
Now, subtract 45 from both sides:
The last step is to divide both sides by 5:
Therefore, the answer is
I hope it helps.
Have a nice day.
Answer:
See below.
Step-by-step explanation:
There are 2 options in finding the difference between f and 35, as you did not state in the question which if the 2 is the larger number.
(f-35)-5=f-35-5
=f-40
OR
(35-f)-5=35-f-5
=30-f
1. is B
2. is A
3. is C
4. is B
5. ? what graphs
Answer:
51 and -27
Step-by-step explanation:
The sum of two numbers is 24 and their difference is 78. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 24. In other words, x plus y equals 24 and can be written as equation A:
x + y = 24
The difference between x and y is 78. In other words, x minus y equals 78 and can be written as equation B:
x - y = 78
Now solve equation B for x to get the revised equation B:
x - y = 78
x = 78 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 24
78 + y + y = 24
78 + 2y = 24
2y = -54
y = -27
Now we know y is -27. Which means that we can substitute y for -27 in equation A and solve for x:
x + y = 24
x + -27 = 24
X = 51
Summary: The sum of two numbers is 24 and their difference is 78. What are the two numbers? Answer: 51 and -27 as proven here:
Sum: 51 + -27 = 24
Difference: 51 - -27 = 78
