Answer:
93.60 would be the last price while
23.4 would be the subtracted price
Step-by-step explanation:
20 percent move the decimal over 2 places to the right and get 0.2
then multiply 117 by 0.2 and get the last answer
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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Answer: Jiří is 5 years old.
Step by step:
Let x denote Jiří's age in years. Then Pamela's age is 3x. Their sum is x + 3x = 20. So we solve for x:
x + 3x = 20
4x = 20
x = 5
Jiří's age is 5 years
Step-by-step explanation:
Step one:
given data
we are told that the expression is
v = 4.8m + 8.2
where v is the volume of gas and
m is the number of minutes it has been filling.
Step two:
Required
<em>Asumming the volume is in Liters</em>
the interpretation of the terms in the expression for the volume
4.8 means that for every minute 4.8L of gas enters the gas tank
hence the rate of filling is 4.8L/min
8.2 means that there is 8.2L of gas already in the tank before the filling started.