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:
x < -4 or x > 8
On a number line, make two arrows:
1) going towards left from -4 with an open circle at -4
2) going towards right from 8 with an open circle at 8
Step-by-step explanation:
l -4 +2x l -3 > 9
l -4 +2x l > 12
l 2x - 4 l > 12
2x - 4 > 12
2x > 16
x > 8
-2x + 4 > 12
-2x > 8
x < -4
On a number line, make two arrows:
1) going towards left from -4 with an open circle at -4
2) going towards right from 8 with an open circle at 8
Answer:
x(5x²-7)
Step-by-step explanation:
5x³-7x
=x(5x²-7)
To prove your answer,let's multiply x by each term in the bracket
=x X 5x²=5x³
x X -7 =-7x
Given the equation:
Let's determine the trigonometric identity that you could be used to verify the exquation.
Let's determine the identity:
Apply the trigonometric identity:
Replace cosx for 1/secx
Thus, we have:
The equation is an identity.
Therefore, the trignonometric identity you would use to verify the equation is:
ANSWER:
