first one y=(X-3)(X+1)(X+5)
Bacteria length = 1mm
It will triple four times by 40 min.
This can be shown as 3 to the power of 4; 3⁴ = 81
Original length * growth factor = final length
1 mm * 81 = final length
81 = final length
After 40 mins, the bacteria colony will be 81 mm in length.
Arrange from smallest to biggest.
1, 5, 6, 8, 10, 11, 12, 13
Median is between 8 and 10
We take the average
(8 + 10) / 2
= 18/2 = 9
Median = 9
The total number of gallons of paint needed for the big room is 3x and the number of gallons of paint needed for the small room is 2y.
3x + 2y = 16
Given the sizes of the room, the relation should be that,
x = 2y
Solving the equation,
3(2y) + 2y = 16
y = 2
Therefore x is equal to 4 gallons.
With the condition that only the bigger room is painted, the number of gallons of paint used should be 12 gallons and what is left should be 4 gallons.
