(x + (3 + 5i))*(x + (3+5i))
= x^2 + x(3+5i) + x(3+5i) + (3 + 5i)^2
= x^2 + 2x(3+5i) + 9 + 6(5i) + 25i^2
= x^2 + 6x +10xi + 9 + 30i - 25
= x^2 + 6x + 10xi + 30i - 16
Answer:
The apples may have costed 0.50 cents each, and she may have bought 10, which would result in her paying 10 dollars, and receiving 5 dollars in change.
Step-by-step explanation:
Multiply 10 (the amount she gave to the cashier) by 0.50%, it equals 5, so that's how much she paid, and since she gave a 10 dollar bill, she should get 5 dollars in change.
T^T
Putting the equations into standard form helps me identify dependent and inconsistent systems. In standard form, the leading coefficient is positive, and all numbers are mutually prime (have no common factors).
1.) 2x + y = -9 . . . . . . multiply the original equation by -1
... 3x - 4y = -8 . . . . . . the system is independent
These two equations will give rise to a single solution.
_____
2.) 4x + y = 4 . . . . . . divide the original equation by 3
... 4x + y = 5 . . . . . . . the system is inconsistent
These two equations describe parallel lines, so will not have a point of intersection. There are no values of x and y that can satisfy both equations.
The answer is 9
You can see the graph is linear and at $45 it lines up with 9 items purchased
