Answer: 120
Step-by-step explanation:
Given : The league championship 800 meter race has 6 runners.
The number of positions = 3
Since order matters here , so we use Permutation.
The permutation of n things taking r at a time is given by :-
Then, the number of different ways they place first, second, and third :_
Hence, they can place first, second, and third in 120 different ways .
Answer:
6 inches
Step-by-step explanation:
The perimeter formula for a square is P = 4*S
P =24
s = ?
24 = 4*S Divide both sides by 4
24/4 = 4S/4
S = 6
Answer:
(P, Q) = (-75, 57)
Step-by-step explanation:
The equation will have infinitely many solutions when it is a tautology.
Subtract the right side from the equation:
Px +57 -(-75x +Q) = 0
x(P+75) +(57 -Q) = 0
This will be a tautology (0=0) when ...
P+75 = 0
P = -75
and
57-Q = 0
57 = Q
_____
These values in the original equation make it ...
-75x +57 = -75x +57 . . . . . a tautology, always true
(a) since we are given that f(8) = 9, the inverse of 9 is simply 8. Therefore, f^-1(9) = 8.
(b) Again, f is the inverse of f^-1, therefore, you simply switch numbers, and you get that f(-3) = -7.
The given function is that is a cubic polynomial
when arranged in descending order that is from highest degree to lowest degree
Since it is a three degree polynomial it has three roots.
According to rational root theorem , the possible roots of the above expression that is factors of = are
As you can see from the graph all roots of this polynomial are real.
The smallest positive root is 0.954 and smallest negative root are -0.724.