Answer:
A) a vertical line does not represent a function.
Step-by-step explanation:
For a relation to be a function for each value of
there must be only one value of
. In other words a function is one in which each value in the domain set corresponds to only one value in the range set.
Let us check for this condition in the give choices:
A) a vertical line
A vertical line is given as
which meas it is parallel to y-axis and has infinite number of
values for a single
value.
So, its Not a function
B) 
For the given equation, on plugging in some
value will give a single
value.
So, its a Function
C) a horizontal line
A horizontal line is given as
which meas it is parallel to x-axis and has infinite number of
values giving a single
value.
So, its a Function
D) {(1, 7), (3,7), (5, 7), (7,7)}
For the given set for different
valuesthere is only one
value.
So, its a Function
Answer:
Divisible by 3 is the answer
Step-by-step explanation:
First get everything to have the same base of 5
25^11 - 5^19
(5^2)^11 - 5^19
5^(2*11) - 5^19
5^22 - 5^19
Now factor out the GCF 5^19 to get
5^22 - 5^19
5^(19+3) - 5^(19+0)
5^19*5^3 - 5^19*5^0
5^19(5^3 - 5^0)
5^19(125 - 1)
5^19*(124)
At this point, we factor the 124 into 31*4 to end up with this full factorization: 5^19*31*4
Therefore, 25^11 - 5^19 is equivalent to 5^19*31*4
Since 31 is a factor of the original expression, this means the original expression is divisible by 31.
Answer:
25 Balls
Step-by-step explanation:
£480
2:3:7 = 2+3+7 = 12
2
--- 0f £480 = £80
12
3
--- of £480 = £120
12
7
--- of £480 = £280
12
answer = £80 : £120 : £280