First you can turn the fractions into improper fractions.
5 3/4 = 23/4 6 3/4= 27/4
Add numerators, denominators stay the same.
23 + 27= 50
50/4
You can either leave it or simplify
Simplified:
50/4 = 12 1/2
:)
Answer:
Option C
Step-by-step explanation:
Addition theory of probability is used to determine the probability for union of two or more sets.
P(AUB) = P(A)+P(B)-P(AB) is the addition theory of probability for two sets A and B.
P(AUBUC) = P(A)+P(B)+P(C)-P(AB)-P(BC)-P(CA)
for 3 sets
This can be extended to any number of sets
So addition theory has nothing to do with independent events both occurring
Option c is the right answer.
Solution: X=9.5
Explanation: x-5.5=4 —> x=4+5.5 —> x=9.5
Answer:
4x= 14
Step-by-step explanation:
Regarding the functions in this problem, it is found that:
a) The verbal description of the inverse is: Take the third root, subtract by 5 and divide by 3.
b) The formulas are:
c) The compositions result in x, hence they are inverses.
<h3>How to obtain the inverse function?</h3>
The original function is described as follows:
- Take the third power: (3x + 5)³.
Hence the function is:
y = (3x + 5)³.
To obtain the inverse functions, we exchange x and y and then isolate y, hence:
x = (3y + 5)³
![\sqrt[3]{x} = \sqrt[3]{(3y+5)^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%20%3D%20%5Csqrt%5B3%5D%7B%283y%2B5%29%5E3%7D)
![3y + 5 = \sqrt[3]{x}](https://tex.z-dn.net/?f=3y%20%2B%205%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
![3y = \sqrt[3]{x} - 5](https://tex.z-dn.net/?f=3y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D%20-%205)
![y = \frac{\sqrt[3]{x} - 5}{3}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B%5Csqrt%5B3%5D%7Bx%7D%20-%205%7D%7B3%7D)
![f^{-1}(x) = \frac{\sqrt[3]{x} - 5}{3}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Cfrac%7B%5Csqrt%5B3%5D%7Bx%7D%20-%205%7D%7B3%7D)
The verbal description of the inverse is:
- Take the third root. sqrt[3](x).
- Subtract by 5: sqrt[3](x) - 5.
The compositions are given as follows:
More can be learned about inverse functions at brainly.com/question/11735394
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