Answer:
The sum of reciprocals is 2/3.
You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.
Step-by-step explanation:
a+b = 2
a*b = 3
1/a + 1/b = x
(a*b)*(1/a + 1/b) = (a*b)x
b + a = (a*b)(x)
2 = 3x
x = 2/3
b = 2 - a
a*(2 - a) = 3
-a^2 + 2a = 3
-a^2 + 2a - 3 = 0
a^2 - 2a + 3 = 0
let's solve the quadratic equation
a^2 - 2a + 3 = a^2 - 2a + 1 + 2 = (a - 1)^2 + 2 = 0
(a - 1)^2 = -2
these options correspond to a and b from the original question.
Answer:
($26,000/100)*94 = $24,440
Step-by-step explanation:
Divide 26,000 by 100 and multyply by 94 (100% - 6%) = $24,440
Y - 3 = 8/3(x + 2)...the slope here is 8/3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will have a slope of -3/8
y - y1 = m(x - x1)
slope(m) = -3/8
(-2,3)....x1 = -2 and y1 = 3
now we sub
y - 3 = - 3/8(x - (-2)...not done yet
y - 3 = -3/8(x + 2) <===
Compound interest:
where
is the amount you start with,
is the interest rate,
is the number of times interest is compounded per year, and
is amount of time that passes.
Answer:
A
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos X = 
= 
= 
, then
∠ X = 
( ) ≈ 44° ( to the nearest degree ) → A
