Dominio:
(−∞,∞),{x|x∈R}
Rango:
(−∞,∞),{y|y∈R}
Answer:
The correct option is 4. Neither A nor B represents a function.
Step-by-step explanation:
The given sets of ordered pairs are


A set of ordered pairs represents a function if there exist unique outputs for all inputs. It means for each values of x there exist, a unique value of y.
In set A the value of y-coordinates are -5 and 7 at
.
At x=8, there exist more than one value of y, so the set A is not a function.
In set B the value of y-coordinates are -4 and -2 at
.
At x=7, there exist more than one value of y, so the set B is not a function.
Therefore neither A nor B represents a function and option 4 is correct.
Answer:
6
Step-by-step explanation:
We can obtain the greatest common factor by listing the factors of the 2 numbers, that is
Factors of 18 are 1, 2, 3, 6, 9, 18
Factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The common factors are 1, 2, 3, 6
The greatest common factor is 6
Given:
Measure of a cube = 1 unit on each side.
Dimensions of a space 2 units by 3 units by 4 units.
To find:
Number of cubes that can be fit into the given space.
Solution:
The volume of cube is:

Where, a is the side length of cube.


So, the volume of the cube is 1 cubic units.
The volume of the cuboid is:

Where, l is length, w is width and h is height.
Putting
, we get


So, the volume of the space is 24 cubic units.
We need to divide the volume of the space by the volume of the cube to find the number of cubes that can be fit into the given space.



Therefore, 24 cubes can be fit into the given space.
1- y= x/2 + 2
2- y= 3x +1
3- y= x/2 - 2
4- y= 3x - 1