Answer:
-29/20
Step-by-step explanation:
The cosecant function is the inverse of the sine function. Both sine and cosecant are odd functions, meaning csc(-x) = -csc(x) = -1/sin(x).
csc(-θ) = -1/sin(θ) = -1/(20/29) = -29/20
Answer:
The average rate of change of Demand between 40 and 175 units sold is of -0.1045.
Step-by-step explanation:
Average rate of change:
The average rate of a function f(x) in an interval [a,b] is given by:
In this question:
What is the average rate of change of Demand between 40 and 175 units sold?
. So
So
The average rate of change of Demand between 40 and 175 units sold is of -0.1045.
Answer:
x = 3/5
Step-by-step explanation:
multiply the equation by 3 --> (x/3 = 2x-1) x 3
x = 6x - 3
-5x = -3
x = 3/5
Answer: The numbers are 14, 16 and 18.
Step-by-step explanation: First thing to note is that consecutive even numbers have a difference of 2 units between every two terms. That is, if the first number is a, the next would be a + 2, and the next would be a + 4, and so on.
Therefore the three consecutive even numbers shall be a, a + 2, and a + 4.
Our equation now becomes;
a + a + 2 + a + 4 = 48
3a + 6 = 48
Subtract 6 from both sides of the equation
3a = 42
Divide both sides of the equation by 3
a = 14
Therefore, the numbers are 14, 16 and 18.
Answer:
(-∞,7) U (7,∞)
Step-by-step explanation:
All real values of x such x ≠ 7
