Answer:
y = cot(x - ⅓π) + 2
Step-by-step explanation:
The general equation for a cotangent function with the given properties is
y = Acot(Bx + C) + D, where
A = the stretching factor
π/|B| = the period
C = the phase shift (negative is to the right)
D = the vertical shift
A = 1
π/|B| = π, so1/|B| = 1 and B = 1
C = -⅓π
D = 2
The function is
y = cot(x - ⅓π) + 2
The figure below shows the graph of the function with the given parameters.
Note that the parent function y = cot(x) has the y-axis as an asymptote, so we can measure the phase shift by the movement of the asymptote π units to the right.
Answer:
6/8,
12/16,
24/32
48/64
96/128
192/256
384/512
Step-by-step explanation:
The obvious answer to this would be 10.
The most simple way to do it would be taking out 3 x from each side of the equation and do 20 = 10 + _
Another way would be to actually solve it.
Let us put into the situation that the unknown variable would be y. The equation then would look like this.
3 x 20 = 3 x (10 + y)
Then solve
3 x 20 = 3 x (10 + y)
-------- ---------------
3 3
20 = 10 + y
20 - 10 = y
10 = y
10 would be the answer
48,100,000,000,000 in scientific notation is 4.81E+13.