<h3>
Answer:</h3>
B. { (3, –2), (3, –4), (4, –1), (4, –3) }
<h3>
Step-by-step explanation:</h3>
Functions are a set of points that show how dependent variables change through independent variables.
Defining a Function
In functions, each x-value is assigned to exactly one y-value. This means that x-values do not repeat. So, if there is one x-value more than once in a set, then it cannot be a function.
For example, set B has the x-value 3 and 4 repeated twice. Thus, it does not represent a function.
Graph of a Function
Functions can also be defined through a graph. Just like with coordinate points, x-values do not repeat on the graph. You can use the vertical line test to see if a graph is a function. If you can draw a vertical line at every point on a graph without it ever intersecting with the graph more than once, then it is a function.
3217 + 13.1 + 1.3 can also be written as
3217.0
+ 13.1
1.3
----------
<span>3231.4
</span>
Your final answer should be <span>3231.4 or option 4. Hope this helps!</span>
Answer:
78
Step-by-step explanation:
The tricky part of this is figuring out how to assign the unknowns. We are told that we are working with two consecutive even integers. Consecutive means "next to" or "in order" and sum means to add. If we use 2 and 4 as examples of our 2 consecutive even integers and assign x to 2, then in order to get from 2 to 4 we have to add 2. So the lesser of the 2 integers is x, and the next one in order will be x + 2. (2 and 4 are just used as examples; they mean nothing to the solving of this particular problem. You could pick any 2 even consecutive integers and find the same rule applies. All we are doing here with the example numbers is finding a rule for our integers.) Now we have the 2 expressions for the integers, we will add them together and set the sum equal to 158:
x + (x + 2) = 158
The parenthesis are unnecessary since we are adding, so when we combine like terms we get
2x + 2 = 158 and
2x = 156 and
x = 78
That means that the lesser of the 2 integers in 78, and the next one in order would be 80, and 78 + 80 = 158
Answer:
30
Step-by-step explanation:
Plug in x:
6(5)=30
The answer is D. The action taken between each number is multiplying by 3. With this question, I'd say an easy way to answer it is to look at each answer given (in this case 36 and 108) and see if it fits the sequence with the given values (12 and 324).
