Answer:
Table 1 and 2 represent a function
Step-by-step explanation:
Given
<em>Table 1</em>
x 5 10 11
y 3 9 15
<em></em>
<em>Table 2</em>
x 5 10 11
y 3 9 9
<em>Table 3</em>
x 5 10 10
y 3 9 15
Required
Determine which of the tables represent that y is a function of x
For a relation to be a function; the x values must be unique.
In other words, each x value must not be repeated;
Having said that;
Analyzing Table 1
<em>Table 1</em>
x 5 10 11
y 3 9 15
<em></em>
Note that the x rows are unique as no value were repeated;
Hence, Table 1 is a function
<em>Table 2</em>
x 5 10 11
y 3 9 9
Note that the x rows are unique as no value were repeated;
Hence, Table 2 is a function
<em>Table 3</em>
x 5 10 10
y 3 9 15
Note that the x rows are not unique because 10 was repeated twice;
Hence, Table 3 is not a function
170 cm. The unknown length on the left is 21 cm
It tells us that:
(-2,4)
(-1,3)
(1,6)
(3,5)
(4,8)
Look at (3,5) ... it tells us that x = 3 and y = 5
So y = 5
For this case we have the following inequality:
To solve we have:
Subtracting 6 from both sides of the equation:
Thus, the solution is given by all values of r greater than or equal to 5.
Answer:
The solution is given by all values of r greater than or equal to 5.
