Answer:
The answer is 55 degrees.
Step-by-step explanation:
85 + 40 is 125. 180 - 125 is 55.
Answer:
13 cents per bottle
Step-by-step explanation:
Answer:
(4, 3)
Step-by-step explanation:
Use the midpoint formula:
Answer:
As you can see, the difference between the reciprocal of and the inverse of is that and .
Step-by-step explanation:
First lets find both the reciprocal of and the inverse of
Recall that the reciprocal of a value is where you take a fraction and swap the places of the terms. In the case of , 1 is the denominator, so
To find the inverse of a function, you first need swap the locations of x and y in the equation
Now, you need to solve for y
Now, lets rewrite each of these to better compare them
As you can see, the difference between the reciprocal of and the inverse of
In order for the inverse to exist, the matrix cannot be singular, so we need to first examine the conditions for existence of the inverse.
Compute the determinant. The easiest way might be a cofactor expansion along either the first row or third column; I'll do the first.
The matrix is then singular whenever
.
With this in mind, compute the inverse.