Answer:
-1
Step-by-step explanation:
For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:

Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).
Solving for slope:




Hence, the slope of the line joining the given points is <u>-1.</u>
Given:
A right angle triangle ABC, right angled at C.
To find:
The measure of θ.
Solution:
In a right angle triangle,

In triangle ABC,



It can be written as


Therefore, the measure of θ is 28.369.
Answer:
The total revenue is
.
The marginal revenue is
.
The fixed cost is $900.
The marginal cost function is
.
Step-by-step explanation:
The Total Revenue (
) received from the sale of
goods at price
is given by

The Marginal Revenue (
) is the derivative of total revenue with respect to demand and is given by

From the information given we know that the price they can sell cakes is given by the function
, where
is the number of cakes sold per day.
So, the total revenue is

And the marginal revenue is

The Fixed Cost (
) is the amount of money you have to spend regardless of how many items you produce.
The Marginal Cost (
) function is the derivative of the cost function and is given by

We know that the total cost function of the company is given by
, which it is equal to

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.
And the marginal cost function is

The square root of 2 is irrational since it is not a perfect square. also <span>Irrational: square root of 2 ≈ 1.4</span>