Answer:
(5, - 6 )
Step-by-step explanation:
Given the 2 equations
- 8x - 10y = 20 → (1)
- 8x - 6y = - 4 → (2)
Multiply (2) by - 1
8x + 6y = 4 → (3)
Add (1) and (3) term by term to eliminate the x- term, that is
- 4y = 24 ( divide both sides by - 4 )
y = - 6
Substitute y = - 6 into either of the 2 equations and solve for x
Substituting into (1)
- 8x - 10(- 6) = 20
- 8x + 60 = 20 ( subtract 60 from both sides )
- 8x = - 40 ( divide both sides by - 8 )
x = 5
solution is (5, - 6 )
Answer:
it must also have the root : - 6i
Step-by-step explanation:
If a polynomial is expressed with real coefficients (which must be the case if it is a function f(x) in the Real coordinate system), then if it has a complex root "a+bi", it must also have for root the conjugate of that complex root.
This is because in order to render a polynomial with Real coefficients, the binomial factor (x - (a+bi)) originated using the complex root would be able to eliminate the imaginary unit, only when multiplied by the binomial factor generated by its conjugate: (x - (a-bi)). This is shown below:
where the imaginary unit has disappeared, making the expression real.
So in our case, a+bi is -6i (real part a=0, and imaginary part b=-6)
Then, the conjugate of this root would be: +6i, giving us the other complex root that also may be present in the real polynomial we are dealing with.
Answer:
$289.25
Step-by-step explanation:
First we should find out how much Ms. Maple would make in a week without overtime.
6.5 x 40 = 260
Now, let's figure out how much she makes per hour in overtime.
6.5 x 1.5 = 9.75
Now add up the hours of overtime.
9.75 x 3 = 29.25
Now we add the weekly wage to the overtime
260 + 29.25 = 289.25
For 40 hours of regular time at $6.50/hr and 3 hours of overtime at $9.75/hr, Ms. Maple will make $289.25 for the week.
Answer:
50% duhh
Step-by-step explanation:
25% is also a equation