Answer:
Step-by-step explanation:
Required
The positive root of 
Equate to 0
So, we have our function to be:
Differentiate the above function:
Using Newton's method of approximation, we have:
Plot the graph of to get 
--- see attachment for graph
From the attached graph, the first value of x is at 2.2; so:
So, we have:
The process will be repeated until the digit in the 6th decimal place remains unchanged
Hence:
Median: 5 3/4 ( in a number line from least to greatest, the middle number)
Mode: 6 5/8 ( the number that appears the most [ex: 1,1,2,2,2,3,3 your mode will be 3])
hope this helps
Answer:
T = 40 (minutes?)
Step-by-step explanation:
Given the equation G = 50 + 20T, where G = the total amount of gas and T = the amount of Time, we know that there is already 50 gallons of gas in the tank and that the rate at which it is pumped is 20 gallons per minute (I am assuming, though it is not stated in the problem). Given that the tank holds 850 gallons, we can plug in the values into the equation and solve for the missing variable, T:
850 = 50 + 2T
Subtract 50 from both sides: 850 - 50 = 50 + 2T - 50 or 800 = 2T
Divide 2 from both sides: 800/2 = 2T/2
Solve for T: 40 = T
Answer: Yes.
Step-by-step explanation: Each point on the graph has a different X-Value. It's ok for the Y-Values to repeat.
Let x = amount of time the Arlen family must catch up to
overtake the Harris family
In principle, the Harris and the Arlen family should cover
the same distance. Since distance is speed x time,
45 (6+y) = 58y
270 + 45y = 58y
58y - 45y = 270
y = 270 ÷ 13
y= 20.77min
