Step-by-step explanation:
x²/(x²-9) + 1/(x-3) = 1/(4x-12)
4x² + 4(x+3) = 1
4x² + 4x + 11 = 0
Since the discriminant is negative, there are no real solutions.
The given function can also be written in the
form:
f (x) = 15 (1 + 1)^x
Where this equation is similar to the general
growth rate equation:
f (x) = k (1 + i)^n
Where,
i = percent rate of growth
n = number of years
Since we want to set that n = x/2, therefore we
need to find the new i. We can do this by equating the two:
<span>(1 + i)^x/2 = (2)^x</span>
Multiplying the exponents of both sides by 1/x:
(1 + i)^1/2 = 2
1 + i = 4
i = 3
Therefore the new equation is:
f (x) = 15 (4)^(x/2)
or
<span>f (x) = 15 (2^2)^(x/2) (ANSWER)</span>
<span> </span>
Madison=3x
Daryl=x
3x+x=$41.00
4x=$41.00
X=$41.00/4
X=$10.25
Madison =3*$10.25
=$30.75
Daryl=$10.25
2/3 is 266.66% of 2/4.
(2/3)(1/4)=(2/3)(4/1)=8/3=2 2/3=2.6666=266.66
hope this helps!!