(16x)^(2n + 1) =
(16x)^(2n) * 16x \
[(16x)^2]^n * 16x =
[256 x^2]^n * 16x
P = Po * 2^(n / 4)
Where Po is the original population and P is the final population after n hours
So our function is
P = 100 * 2^(n /4) and n = 7 hours after 10AM = 5PM
So
P = 100* 2^(7/4) ≈ 336
What about 16x being raised to 2(n+1)
8x(2x)^2=8
Divide both sides by 8
x(2x)^2=1
Simplify the exponent
x(2x)^2=x(2x)(2x)
Apply the distributive property
(2x)(2x)=4x^2
(4x^2)x=4x^3
We now have 4x^3=1
Divide by the constant on the left side (4)
x^3=(1/4)
Take the cube root
\(x = \sqrt[3]{1/4}\)
Simplify
\(x = 1/\sqrt[3]{4}\)
16x^(2n + 1) =
16x^(2n)*x
NO! It is undefined!.
Sorry, there was a typo!!
How is this an answer
No image is shown....
Actually.....none of these are correct
Circle 1 is a translation 2 units to the right and 1 unit down from circle 2 and a dialation of circle 2 with a scale factor of 0.8