A set of ordered pairs, like the ones shown, represents a function only if each of the first coordinates is not repeated.
For example {(2, 5), (7, 8)} is a function, but {(2, 3), (6, 8), (2, -1)} is not because 2 is repeated.
We can check that each set of pairs we are given, are functions.
The inverses of each of these sets would be :
<span>{(–2, –1), (4, 0), (3, 1), (14, 5), (4, 7)} 4 repeats
{(2, -1), (4, 0), (5, 1), (4, 5), (2, 7)} 4 and 2 repeat
{(3, -1), (4, 0), (14, 1), (6, 5), (2, 7)} no repetition of 1st coordinates
{(4, -1), (4, 0), (2, 1), (3, 5), (1, 7)} 4 repeats
</span>
So only the inverse of <span>{(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} is also a function</span>
Answer:
Correct option is
C
10
5
10P
5
Total ways in which one passenger can stop =10
Total ways in which 5 passengers can stop =10∗10∗10∗10∗10
=10
5
We will select 5 floors from 10 floors and assign each individual to each floor to keep everyone isolated from each other
No. of ways in which no two persons stop at the same floor =10C
5
∗5!
=10P
5
⇒P(E)=10P
5
/10
5
Answer:
A ceiling fan has 13-inch blades (so the radius of the circular fan is 13 inches). Suppose the linear speed of the tip of a blade is 8 feet per second
Answer:
x = 10
m angle 2 = 77
m angle 4 = 77
m angle 5 = 103
Step-by-step explanation:
you can equate angle 2 to angle 4, solve for x. then plug in the x value. a angle 2 and 4 will both be 77. angle 5 will be 180-77since angle 2 and 6 are congruent, and angle 6 forms a straight line with angle 5.
