2 is common factor
2x=2(x)
4=2(2)
ab+ac=a(b+c)
2(x)+2(2)=2(x+2)
Answer:
x
=
−
5.35424868 ,
−
10.64575131
Step-by-step explanation:
x³ - 3x² + 4x - 2
complex roots occur in conjugate pairs
1 + i is a root then so is 1 - i
the factors of the polynomial are therefore
f(x) = (x - 1 )(x - (1 + i))(x - (1 - i))
= (x - 1 )(x² - 2x + 2 ) ( expand factors and simplify )
= x³ - 3x² + 4x - 2
Answer:
He will have $39,750 at the end of five years.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:

In this question:

Interest earned:

Total amount:

He will have $39,750 at the end of five years.
Answer:

Step-by-step explanation:
Well, the center origin of the circle is given (h,k) = (-3,7).
We have to find our radius as they gave us a point. from origin to the edge of the circle.
Using the formula: (x - h)^2 + (y - k)^2 = r^2
Plug in our (h,k) = (-3,7) and (x,y) = (0,7) to solve for radius.
(x - h)^2 + (y - k)^2 = r^2
(0 - (-3))^2 + (7 - (7)^2 = r^2
(3)^2 + (0)^2 = r^2
9 = r^2
r^2 = 9
r = 3