Answer:
So x=4 and y=-5 would work.
Step-by-step explanation:
When you multiply complex conjugates, you get a real result.
Example:
I replace with -1 since .
is a real number (there is no imaginary part, no i).
So what is the conjugate of 4+5i?
4-5i
So x=4 and y=-5 would work.
A multiple of the complex conjugate would work as well.
This is still a real number; there is no imaginary part,no i.
<span>2+3(x-3)+1-5(2-x)
The first thing we must do is distribute...
2 + 3x - 9 + 1 - 10 + 5x
Then we must combine like terms. We can combine terms with an x together and we can combine terms without an x together.
2 - 9 + 1 - 10 = -16
3x + 5x = 8x
So our simplified expression is C. 8x - 16</span>
Answer:
video game: $29.50
DVD: $10
Step-by-step explanation:
Let d = price of one DVD, and let v = price of 1 video game.
"A bundle of two video games and three DVDS can be purchased for $89.00."
2v + 3d = 89
"A bundle of one video game and two DVDS can be purchased for $49.50."
v + 2d = 49.5
We have two equations in two unknowns, so we can solve them as a system of 2 equations.
2v + 3d = 89
v + 2d = 49.5
Rewrite the first equation.
Multiply both sides of the second equation by -2 and write it below the first equation.
Add the equations.
2v + 3d = 89
(+) -2v - 4d = -99
---------------------------
-d = -10
d = 10
Now we substitute 10 for d in the second original equation and solve for v.
v + 2d = 49.5
v + 2(10) = 49.5
v + 20 = 49.5
v = 29.5
Answer: video game: $29.50; DVD: $10
Answer:
the earned value of the project is $9,900
Step-by-step explanation:
The computation of the earned value of the project is shown below:
As we know that
CPI = Earned value ÷ Actual cost
1.1 = Earned value ÷ $9,000
So, the earned value is
= 1.1 × $9,000
= $9,900
hence, the earned value of the project is $9,900
Answer:
13 1/3 miles
Step-by-step explanation:
inches/miles = inches/miles
3/10 = 4/x
3x = 40
x = 13 1/3