Answer: Third Choice. x= 6 1/3
Step-by-step explanation:
Given
f(x) = 9x² - 54x - 19
Completing the square
3x -19
3x 1
Substitute back to the function
f(x) = (3x-19) (3x+1)
Simplify
x= 6 1/3 or -1/3
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With two employee shifts, each will work 12 hours (2 x 12)
With three employee shifts, each will work 8 hours (3 x 8)
With four employee shifts, each will work 6 hours (4 x 6)
With six employee shifts, each will work 4 hours ( 6 x 4)
With twelve employees shifts, each will work 2 hours ( 12 x 2)
Let Surface Area A, a the base edge and h the height:
A = a²+2a√(a²/4+h²)
h=?
pythagorean theorem:
h²=c²-a²
h=√(c²-a²)
h=√(8²-(.7/2)²)= 8
plug it in the above equation A= 11.7ft²
So A is correct
Answer:
C
Step-by-step explanation:
Divide the household with pet rabbits by the total number of household in the U.S. to get the proportion of U.S. households with pet rabbits. Then, convert the proportion to a percentage.
6,678,000/126,200,000 ≈ 0.05 = 5%
Answer:
1/2
Step-by-step explanation:
So you have 12 bags total.
2 are 1/6 so their total weight is 1/3
2 are 1/3 so their total weight is 2/3
3 are 1/2 so their total weight is 3/2
4 are 2/3 so their total weight is 8/3
1 is 5/6 so their total weight is 5/6
Now add all of these up:
1/3 + 2/3 + 3/2 + 8/3 + 5/6 = 36/6 = 6
Then divide by the number of bags to get the average weight: 6/12 = 1/2
