Answer:
There are no real solutions. The complex solutions are ...
(x, y) = (2.5-i√1.75, -2.5+i√1.75) or (2.5+i1.75, -2.5-i1.75)
Step-by-step explanation:
Subtract the first equation from the second.
y -y = (x^2 -6x +8) -(-x)
0 = x^2 -5x +8
Rewrite to facilitate completing the square:
x^2 -5x = -8
x^2 -5x +6.25 = -1.75 . . . . . add 6.25 to complete the square
(x -2.5)^2 = -1.75 . . . . . write as a square
x -2.5 = ±i√1.75 . . . . . . take the square root
x = 2.5 ± i√1.75 . . . . . . add 2.5; y is the opposite of this
Solutions are ...
- x = 2.5 +i√1.75, y = -2.5 -i√1.75
- x = 2.5 -i√1.75, y = -2.5 +i√1.75
_____
The graph shows the equations have no point of intersection, meaning there are no real solutions. The complex solutions are shown above.
Answer:
Check attachment for orderliness of question
Step-by-step explanation:
We want to the equation in an exact form
M(x, y) dx + N(x, y) dy = 0.
xy² dy/dx = y³− x³
Cross multiply
Then,
xy²dy=(y³-x³)dx
xy²dy - (y³-x³)dx = 0
xy²dy + (x³-y³)dx=0
Therefore,
(x³-y³)dx + xy²dy=0
Can only be an exact equation if and only if
dM/dy=dN/dx
From the equation
M=(x³-y³)
Then, dM/dy=-3y²
Also, N=xy²
dN/dx=y²
Since dM/dy ≠ dN/dx
Then it is not an examct equation and we can say
M≠(x³-y³)
And
N≠(xy²)
9514 1404 393
Answer:
4 1/2 days
Step-by-step explanation:
The time is given by ...
time = quantity/rate
time = (3/4 fence)/(1/6 fence/day) = (3/4)(6) days = 4 1/2 days
Answer:
<h2>I need to sell the home for the price of $317,460.</h2>
Step-by-step explanation:
I need to pay 5.5% of the total to the broker.
I also want to gain $300,000 as a profit. I need to sell the house in such a price, so that after giving the 5.5% to the broker, i also have $300,000.
I need to find the value of 100%, where (100 - 5.5) = 94.5% represents $300,000.
Hence, 100% = 
.
Answer:
3 quarters
7 dimes and a nickel
7 dimes and 5 pennies
15 nickles
75 pennies
2 quarters 2 dimes and a nickel
etc.
Step-by-step explanation:
