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
Answer:
y+7= -6/5(x+3)
Step-by-step explanation:
Point slope form for a line is given by
y-y1 = m(x-x1) where m is the slope and (x1, y1) is a point on the line
y - -7 = -6/5(x - -3)
y+7= -6/5(x+3)
When multiplying fractions, you multiply the denominators together and the numerators together.
3/8 x 4/9
(4•3)/(8•9)
12/72 = 1/6
1/6 is the final answer.
Answer:
Step-by-step explanation:
Given:
AB ≅ DC and AC ≅ DB
To Prove:
ΔABC ≅ ΔDCB
Statements Reasons
1). AB ≅ DC and AC ≅ DB 1). Given
2). BC ≅ CB 2). Reflexive property
3). ΔABC ≅ ΔDCB 3). SSS property of congruence