Answer:
The answer would be n=6.11
Step-by-step explanation:
I had the same question that was hard
Answer:
C. I used to not get this but now I do. hope I helped
(a)
In the function P(n) = 0.4n +5.7, P(n) is price of n grams of vitamins. So for the function x = P(n); x is price of n grams of vitamins.
The inverse of function determine amount of the vitamins for the known price of x dollars. So answer is,
The amount of vitamins (in grams) for a price of x dollars.
(b)
Let P(n) = x, So
![x=0.4n+5.7](https://tex.z-dn.net/?f=x%3D0.4n%2B5.7)
Replace n by x and x by n in the given equation.
![n=0.4x+5.7](https://tex.z-dn.net/?f=n%3D0.4x%2B5.7)
Simplify the equation for x.
![\begin{gathered} n+0.4x+5.7 \\ n-5.7=0.4x \\ x=\frac{n-5.7}{0.4} \\ =\frac{10n-57}{4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20n%2B0.4x%2B5.7%20%5C%5C%20n-5.7%3D0.4x%20%5C%5C%20x%3D%5Cfrac%7Bn-5.7%7D%7B0.4%7D%20%5C%5C%20%3D%5Cfrac%7B10n-57%7D%7B4%7D%20%5Cend%7Bgathered%7D)
So inverse of function is after interchange of variables,
![P^{-1}(x)=\frac{10x-57}{4}](https://tex.z-dn.net/?f=P%5E%7B-1%7D%28x%29%3D%5Cfrac%7B10x-57%7D%7B4%7D)
(c)
Substitute 8.3 for x in the inverse equation to obtain the valur of P^-1(8.3).
![\begin{gathered} P^{-1}(8.3)=\frac{10\cdot8.3-57}{4} \\ =\frac{83-57}{4} \\ =\frac{26}{4} \\ =6.5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%5E%7B-1%7D%288.3%29%3D%5Cfrac%7B10%5Ccdot8.3-57%7D%7B4%7D%20%5C%5C%20%3D%5Cfrac%7B83-57%7D%7B4%7D%20%5C%5C%20%3D%5Cfrac%7B26%7D%7B4%7D%20%5C%5C%20%3D6.5%20%5Cend%7Bgathered%7D)
So answer is 6.5.
Your answer is 146 i just took this quiz i thought it was 54 because 146 + 54 = 180 but its not your answer is 146.