If you want the remainder then it will look like this: 2R5. But if you want the decimals then it is 2.71428571, to be exact. Hope this helps.
Answer:
as x approaches infinity, y approaches negative infinity
as x approaches negative infinity, y approaches infinity
Step-by-step explanation:
let's look at the leading power of this graph. it is -4x^3, which means the leading power is 3. since this value is odd, it must go from either down to up or up to down. since the leading coefficient is negative, it goes from up to down (kind of like a negative slope).
It would take one construction worker 9 days and the other 18 days.
Let x be the number of days the first construction worker takes to build the room by himself. If x were 2, he could build 1/2 of the room in the time limit, etc...so 1/x will be the portion of the room he can build by himself in the given tie limit.
The second construction worker can build 1/(x+9) of the room by himself in the given time limit.
Together, we have the equation
1/x(6) + 1/(x+9)(6) = 1
[The speed of the first contractor times the number of days, and the speed of the second contractor times the number of days; together they build 100% of the room]
This gives us
6/x+ 6/(x+9) = 1
We will multiply everything by x to get it off of the denominator:
6/x(x) +(6/(x+9))(x)= x
6 + 6x/(x+9) = x
Multiply everything by x+9 now:
6(x+9) + (6x/(x+9))(x+9) = x(x+9)
6x + 54 + 6x = x² + 9x
12x + 54 = x² + 9x
Subtract 12x from each side:
12x + 54 - 12x = x²+9x-12x
54 = x²-3x
Subtract 54 from each side:
54-54 = x²-3x-54
0 = x²-3x-54
This factors easily; -9(6) = -54 and -9+6 = -3:
0 = (x-9)(x+6)
Using the zero product property we know either x-9=0 or x+6=0; this gives us x=9 or x=-6. Negative time makes no senses, so x=9 hours.
This means the slower contractor takes 9+9 = 18 hours.
I think that the answer would be 2 if I am right
