Answer:
-4.67
Step-by-step explanation:
first find f^-1(x)
let f(x)=y
y=3x+2
3x=y-2
x=y-2/3
Therefore f^-1(x)=x-2/3
Now f^-1(-12)=-12-2/3
=-14/3
=-4.67
let's firstly convert the mixed fractions to improper fractions and then add them up.
![\bf \stackrel{mixed}{1\frac{11}{12}}\implies \cfrac{1\cdot 12+11}{12}\implies \stackrel{improper}{\cfrac{23}{12}}~\hfill \stackrel{mixed}{1\frac{1}{3}}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B11%7D%7B12%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%2012%2B11%7D%7B12%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B23%7D%7B12%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B1%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%203%2B1%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B4%7D%7B3%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\bf \stackrel{\textit{Alex's}}{\cfrac{4}{3}}~~+~~\stackrel{\textit{more yards}}{\cfrac{23}{12}}\implies \stackrel{\textit{using an LCD of 12}}{\cfrac{(4)4~~+~~(1)23}{12}}\implies \cfrac{16+23}{12} \\\\\\ \cfrac{39}{12}\implies \stackrel{\textit{simplified}}{\cfrac{13}{4}}\implies 3\frac{1}{4}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7BAlex%27s%7D%7D%7B%5Ccfrac%7B4%7D%7B3%7D%7D~~%2B~~%5Cstackrel%7B%5Ctextit%7Bmore%20yards%7D%7D%7B%5Ccfrac%7B23%7D%7B12%7D%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20an%20LCD%20of%2012%7D%7D%7B%5Ccfrac%7B%284%294~~%2B~~%281%2923%7D%7B12%7D%7D%5Cimplies%20%5Ccfrac%7B16%2B23%7D%7B12%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B39%7D%7B12%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bsimplified%7D%7D%7B%5Ccfrac%7B13%7D%7B4%7D%7D%5Cimplies%203%5Cfrac%7B1%7D%7B4%7D)
Answer:
1. For most of the 1990s, tickets sold for an average of less than $5 apiece, and dating back to the 1960s, many Americans could go to the movies for less than a buck. 24/7 Wall St. reviewed data from the National Association of Theatre Owners to determine the cost of a movie ticket the year you were born. A full-price AMC ticket is averages $10.50 nationwide, reflecting a 50-cent increase. Concession prices also increased.
Your asking alot for 50 points so i did 1..
Step-by-step explanation:
You have not given enough information for us to complete the full equation for a circle but we can get close.
The equation of a circle is: (x - h)² + (y - k)² = radius²
where the center is represented by (h , k). I shorted the word 'radius' to variable r.
You would just plug in your given information and simplify:
(x - (- 1))² + (y - 0)² = r²
Your answer would be:
(x + 1)² + y² = r²
You did not provide a radius or another point on the circle so we could find the radius so you are left with this incomplete equation of a circle.
Well if you calculate it by using 160 over 1 and 1 over 4 the quotient is 640.