First you need to find your total amount of marbles and this number will be your denominator (on the bottom).
8 + 14 + 12 = 34
Then you see how many black marbles are in the bag and this number will be your numerator (on the top).
The probability Jose will pick a black marble is 8/34 but you always reduce your fractions so the correct answer is 4/17.
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:
![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: 50,001²-49,999²=0,2.
Step-by-step explanation:
Question 1
Answer
0.46 : rational(/ ); irrational(x);
Solving Steps
Question 2
Answer
1100 : rational(/): irrational(x);
Solving Steps
Categorize the number :
Question 3
Answer
-16 : rational(V); irrational(x);
Solving Steps
Categorize the number:
-16 : rational(/); irrational(x);
Question 4
Answer
V21: rational (×); irrational(r);
Solving Steps
Categorize the number
V21 : rational(×): irrational():
Answer:
The answer is 5.75
Step-by-step explanation:
I used desmos
