Answer:
Step-by-step explanation:
<u>Roots of a polynomial</u>
If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula
Where a is an arbitrary constant.
We know three of the roots of the degree-5 polynomial are:
We can complete the two remaining roots by knowing the complex roots in a polynomial with real coefficients, always come paired with their conjugates. This means that the fourth and fifth roots are:
Let's build up the polynomial, assuming a=1:
Since:
Operating the last two factors:
Operating, we have the required polynomial:
Answer:
Area = 32feet²
Step-by-step explanation:
Perimeter of a rectangule = 2(length+width)
Then:
g = 2w Eq. 1
2(g+w) = 24 Eq. 2
g = length
w = width
From Eq. 2:
(2*g + 2*w) = 24
2g + 2w = 24
2w = 24 - 2g Eq. 3
Matching Eq. 1 and Eq. 3
g = 24 - 2g
g + 2g = 24
3g = 24
g = 24/3
g = 8 feet
From Eq. 1
g = 2w
8 = 2w
8/2 = w
w = 4 feet
Check:
From Eq. 2
2(g+w) = 24
2(8+4) = 24
2*12 = 24
Answer:
Area of a rexctangle = length * width
Then:
Area = 8feet * 4feet
Area = 32feet²
Answer:
610
61*10 = 610
You can then subtract that from 742.
Answer:
-2x+3y=7
or
2x-3y= -11
Step-by-step explanation:
-2x+3y= -4, which is Ax+By=C
A=-2 B=3 C=-4
m(slope)= -A/B
m= -(-2)/3
m= 2/3
y-y1= m (x-x1)
y-3= 2/3 (x-1)
Multiply by 3 cancels out the fraction
3y-9= 2 (x-1)
Distributive property
3y-9= 2x-2
-2x+3y-9= -2
From here it could go 2 ways:
1. -2x+3y= 7
or
2. 2x-3y+9= -2
so
2x-3y= -11
Hope this helps
Answer:
Step-by-step explanation:
The simple interest formula is
I = Prt, where I is the interest earned, P is the initial investment, r is the interest rate in decimal form, and t is the time in years. We have that after 2 years, 9000 has turned into 10440. That means that the total interest earned was 10440 - 9000 = 1440
I = 1440
P = 9000
r = ?
t = 2
Filling in we have
1440 = 9000(r)(2) and
1440 = 18000r so
r = .08
As an interest rate, we multiply this by 100 to get 8%
