Y = (2)^(n+1) - 2
is the general term for this.
Answer:
C
Step-by-step explanation:
2x - 1 = 7
2*4=8
8-1=7
Answer:
8.5
Step-by-step explanation:
get a calculator
Using the given function, it is found that:
a) She earns $36 after 26 years.
b) The original function was shifted 3 units to the right and 1 unit up.
<h3>What is the function?</h3>
Her profit in x years after 2015 is given by:
![g(x) = 12\sqrt[3]{x + 1}](https://tex.z-dn.net/?f=g%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%201%7D)
Item a:
She earns $36 after x years, considering that g(x) = 36, hence:
![g(x) = 12\sqrt[3]{x + 1}](https://tex.z-dn.net/?f=g%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%201%7D)
![36 = 12\sqrt[3]{x + 1}](https://tex.z-dn.net/?f=36%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%201%7D)
![\sqrt[3]{x + 1} = 3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20%2B%201%7D%20%3D%203)
![(\sqrt[3]{x + 1})^3 = 3^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx%20%2B%201%7D%29%5E3%20%3D%203%5E3)
![x + 1 = 27](https://tex.z-dn.net/?f=x%20%2B%201%20%3D%2027)
![x = 26](https://tex.z-dn.net/?f=x%20%3D%2026)
She earns $36 after 26 years.
Item b:
The new function is:
![h(x) = 12\sqrt[3]{x - 2} + 1](https://tex.z-dn.net/?f=h%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20-%202%7D%20%2B%201)
Which can be basically written as:
![h(x) = f(x - 3) + 1](https://tex.z-dn.net/?f=h%28x%29%20%3D%20f%28x%20-%203%29%20%2B%201)
Hence the original function was shifted 3 units to the right and 1 unit up.
More can be learned about functions at brainly.com/question/25537936
Answer:
169/4
Step-by-step explanation:
Take the coefficient of the x term. Here it's -13. Now halve that, obtaining -13/2. Finally, square this result. We get 169/4. This is the desired number.
x^2 - 13x + 169/4 - 169/4 + 14 = 0