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:
1. ABO, 2. OCD
Step-by-step explanation:
Since they have the same degrees of angles.
EX: <OA, <BO, <CO, <DO.
(IF I AM NOT RIGHT OR I AM LOSING THE DETAIL WANTED, PLEASE LIST OUT IN THE COMMENT BELOW THE ANSWER AND I WILL CHANGE IT.)
: ) Just to make it look bolder.
Answer:

Step-by-step explanation:
we are given a exponential function

where x represents the number and f(x) represents the amount
we are also given that when x is 3 then f(x) is 59 likewise when x is 6 then f(x) is 2165
to figure out the average rate of change between 3 and 6 we can consider the average rate of change formula given by

substitute what we have:

simplify substitution:

simplify division:

hence, the average rate of change between 3 and 6 is <u>7</u><u>0</u><u>2</u>
60000 is the answer for your problem
Answer:
y = 6
Step-by-step explanation:
6 * y * 4 = 2 * 72
y = 2 * 72/24 = 6