Answer:
989000
Step-by-step explanation:
Divide 2,967 ÷ 0.003
Let the first integer be x. Then the next consecutive integer is x+1.
Translating the word problem into symbols, x(x+1)-20(x+1) = 442.
Then x^2 + x - 20x - 20 = 442
or x^2 - 19x - 462 = 0
Solve by completing the square:
x^2 - 19x + 90.25 - 90.25 - 462 = 0
(x-9.5)^2 - 552.25 = 0
Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33
The two consecutive integers are 33 and 34.
Check: (33)(34)-20(34) = 442 (as expected).
Anita can clean 1/8 portion of the pool in 1 hour
Chao can clean 1/6 portion of the pool in 1 hour
Both of them working together can clean 1/8 + 1/6 = 7/24 portion of the pool in 1 hour
Therefore, it will take both of the working together 1/(7/24) = 24/7 or 3 3/7 hours to clean a typical pool.
F(x) = [x] - 2 + 8
[x] is the notation for 'greatest integer function'
f(-1.8) = [-1.8] - 2 + 8 = -2 -2 + 8 = 4
The answer is 4
