Answer:
Hence, the relation R is a reflexive, symmetric and transitive relation.
Given :
A be the set of all lines in the plane and R is a relation on set A.
To find :
Which type of relation R on set A.
Explanation :
A relation R on a set A is called reflexive relation if every 
then 
.
So, the relation R is a reflexive relation because a line always parallels to itself.
A relation R on a set A is called Symmetric relation if 
then 
for all 
.
So, the relation R is a symmetric relation because if a line 
is parallel to the line 
the always the line is parallel to the line .
A relation R on a set A is called transitive relation if and 
then 
for all 
.
So, the relation R is a transitive relation because if a line s parallel to the line and the line is parallel to the line 
then the always line is parallel to the line .
Therefore the relation R is a reflexive, symmetric and transitive relation.
Answer:
The function g(x) will not contain point (0,1).
Step-by-step explanation:
If a function contains a point then its inverse also contains the point.
Now, in this question florin(x) is a function that contains the point (0, 1).
And the inverse of the function florin(x) will also contain the point (0, 1).
But this inverse function is not g(x).
So, the function g(x) will not contain point (0,1). ( Answer )
Given the function:
The function can also be written as:
The range of the function will be all set of y values.
To find the range, let's graph the function below.
We have:
From the graph above, all possibe y values range from 0 to infinity.
Therefore, the range of the function is from zero infinity.
In interval notation:
Range = (0, +∞)
ANSWER:
4. (0, +∞)
Answer:
The answer to your question is the first option
Step-by-step explanation:
Original expression
-3/8 (-4 + 1/2)
First option -3/8 (-4) + (3/8)(1/2) This option is not equivalent because
they forgot the negative sign of the
second term.
Second option (-3/8)(-4) + (-3/8)(1/2) This option is equivalent to the
original. Distributive property
Third option (-3/2)(-3 1/2) This option is equivalent to the original
Fourth option (-3/8)(-3) + (-3/8)(-1/2) This option is equivalent to the original
Answer: 45
Step-by-step explanation:
Total number of 8th graders that signed up = 30
9 dropped out. So the total number 8th graders on board the game
= 30 - 9 = 21
46 2/3 % of the club are 8th graders i.e 21
Let T be the total number of students in the club
46 2/3 % T = 21
(140/3)% T = 21
(140/300)T = 21
T = (21x300)/140 = 45
Therefore, there are 45 students on the club
