<span>A
and B must be invertible, we have UA=B, since A is invertible. A^-1 exists, by multiplying with A^-1,
we have UA A^-1 =B A^-1. But AA^-1 = I (identity matrix)
and XI=X, for all matrix X, we find UI= B A^-1, and U= B A^-1.</span>
Answer:
<em><u>x = 5/4</u></em>
Step-by-step explanation:
9x-7 = -3x+8 ||| that's how the equation is.
12x = 15 ||| expand and stuff
<em><u>x = 5/4</u></em> ||| Solve
Answer:
- 7 faces
- 15 edges
- 10 vertices
Step-by-step explanation:
This is a counting problem. As with many counting problems, it is helpful to adopt a strategy that helps ensure you count everything only once.
__
<h3>Faces</h3>
There are two pentagonal faces and 5 rectangular faces for a total of ...
7 faces
__
<h3>Edges</h3>
There are 5 edges around each of the pentagonal faces, and 5 edges connecting the top face to the bottom faces, for a total of ...
15 edges
__
<h3>Vertices</h3>
There are 5 vertices on the top face, and 5 on the bottom face, for a total of ...
10 vertices
Answer:
(-5,-3)
Step-by-step explanation:
y values minus y values over x values minus x values
Answer:
First answer is 1200
Second answer is 900 for each new employee
Step-by-step explanation:
First answer:
2200+1300+800+940+560+x = 7000
5800+x = 7000 subtract 5800 from both sides and you get your answer
x = 1200
Second answer:
x = 900. Each of the two employees made 900 a month or 1800 a month for both of them.
To find the average we take the total salaries and divide by the number of people to find the average salary. In this case, we know the average and we know all of the salaries, but two. We can figure this out.
(7000 + 2x)/8 = 1100 multiple both sides by 8 to clear the fraction/
7000 +2x = 8800 Subtract both sides by 7000
2x = 1800 Divide both sides by 2
x = 900