Answer:
The first table represents a function.
Step-by-step explanation:
For it to be a function, there needs to be 1 unique y value of 1 unique x value.
- Looking at 2nd table, we see x value of -5 is mapped to 2 different y values of -5 and 5. So this is not a function.
- Looking at 3rd table, we see x value of -2 is mapped to 2 different y values of 2 and 4. So this is not a function.
- Looking at 4th table, we see x value of -4 is mapped to 2 different y values of 2 and 0. So this is not a function as well.
Looking at table 1, there are no duplicate x values and each of the 4 x values map to different values. So the first table represents a function.
The number of pieces made from rod is 49
<h3><u>Solution:</u></h3>
Given that A metal rod will be cut into pieces that are each 1/56 meters long
The rod is 7/8 meters long.
<em><u>To find: number of peices made from rod</u></em>
The number of peices made from rod can be calculated by dividing the total length of rod by length of each piece

Here total length of rod =
meters
length of each piece to be made =
meters
Substituting the values in above formula, we get


So the number of pieces made from rod is 49
5 less (-5) than 1/3 of number (n/3) is (=) 2 more than (2+) half of the number (n/2)
-5+n/3=2+n/2
add 5 to both sides
n/3=n/2+7
times 6 both sides
2n=3n+42
minus 2n both sides
0=n+42
minus 42 boh sides
-42=n
the number is -42
the number is 18
Here is the equation:

⇒

You need to get "x" by itself so minus 3 from each side

⇒

⇒

Divide 8 by 2

÷

x=4
So each 4 is equivalent to 4
Lets check:

⇒

⇒

So that means that Marcus practiced the piano for 4 hours and Donnel practiced for 7