Answer:
Step-by-step explanation:
For the first symbol, there are 9 options to choose from. Then 8, then 7, and so on. Since each player chooses 5 symbols, they will have a total of 
permutations possible. Since the order of which they choose them matters (as a different order would be a completely different password), it's unnecessary to divide by the number of ways you can rearrange 5 distinct symbols. Therefore, the desired answer is 15,120.
Answer:
144 in²
Step-by-step explanation:
Find the area of the larger square, then subtract the area of the square we cut out.
The larger square has side length of 15, so it has an area of 15² = 225 in²
The smaller square has side length of 9, so it has an area of 9² = 81 in²
The area left over is
225 - 81 = 144 in²
Answer:
A) R = 1900 -24t
B) 1684 billion barrels
C) 79.17 years
Step-by-step explanation:
<h3>A)</h3>
Reserves start at 1900 billion barrels and decrease by 24 billion barrels each year. The value for t=0 is 1900; the value for t=1 is 24 less.
R = 1900 -24t
__
<h3>B)</h3>
For t=9, the reserves will be ...
R = 1900 -24(9) = 1900 -216 = 1684 . . . . billion barrels
__
<h3>C)</h3>
The reserve will be 0 when ...
0 = 1900 -24t
24t = 1900 . . . . . add 24t
t ≈ 79.17 . . . . divide by 24
Reserves will be gone in about 79.17 years.
Assuming that there are plus signs between the 6, 2, and 9 the answer is 21x+20
Answer: Option D
Step-by-step explanation:
For a quadratic function of the form
The x coordinate of the vertice is:
In this case the function is:
So
The x coordinate of the vertice is:
The y coordinate of the vertice is:
The vertice is: (-3, -11)
The form e vertice for a quadratic equation is:
Where
the x coordinate of the vertice is h and the y coordinate of the vertice is k.
Then h=-3 and k =-11
Finally the equation in vertex form is:
