For how many (not necessarily positive) integer values of n is the value 4000x(0.4)^n an integer?
1 answer:
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Answer:
On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 1), (8, 2).
Step-by-step explanation:
Let
x ----> the perimeter of the square
y ---> the side length of the square
Remember that
The perimeter of the square is given by the expression
where
b is the length side of the square
solve for b
That means
A ordered pair in the coordinate plane following the rule
(x,y) -----> (x,x/4)
The y-coordinate is equal to the x-coordinate divided by 4
y=x/4
therefore
On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 1), (8, 2).
Because
For the point (4,1)
substitute in the linear equation the value of x
y=4/4=1 ----> is ok
For the point (8,2)
substitute in the linear equation the value of x
y=8/4=2 ----> is ok