Answer: 1/2*12
12/2
Explanation: either one is right. It just depends on your options.
Answer:
Number 4
Step-by-step explanation:
The formula for a right rectangular prism is width*height*length
Answer:
The zeros of the function are -0.488 and -7.39
Step-by-step explanation:
Given the quadratic function
f(x) = 2x²+16x-9
The zeros of the function is gotten at when f(x) = 0
2x²+16x-9 = 0
Using the general equation
x = -b±√b²-4ac/2a
From the equation, a = 2, b = 16 and c= -9
x = -16±√16²-4(2)(-9)/2(2)
x = -16±√256-72/4
x = -16±√184/4
x = -16+13.56/4
x = -16+13.56/4 and -16.13.56/4
x = --2.44/5 and -29.56/4
x = -0.488 and -7.39
Using the profit function, it is found that:
a) She earns $36 after 25 years.
b) The function was shifted right 4 units and up 1 units.
<h3>What is the profit function?</h3>
The profit, in x years after 2015, is given by:
![p(x) = 12\sqrt[3]{x + 2}](https://tex.z-dn.net/?f=p%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%202%7D)
Item a:
She earns $36 after x years, considering x for which p(x) = 36, hence:
![p(x) = 12\sqrt[3]{x + 2}](https://tex.z-dn.net/?f=p%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%202%7D)
![36 = 12\sqrt[3]{x + 2}](https://tex.z-dn.net/?f=36%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%202%7D)
![\sqrt[3]{x + 2} = 3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%20%3D%203)
![(\sqrt[3]{x + 2})^3 = 3^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%29%5E3%20%3D%203%5E3)


She earns $36 after 25 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)
At the domain, we have that
, that is,
, hence it was shifted right 4 units.
At the range, we have that
, hence it was shifted up 1 unit.
You can learn more about functions at brainly.com/question/24380382
Solve for what expresssion don’t