Replace f(x) with y
switch x and y
solve for y
replace y with g(x)
y=1/3x+2
x=1/3y+2
x-2=1/3y
3x-6=y
g(x)=3x-6
f(g(x)) should have the same result as g(f(x)) which should be x
f(g(x))=1/3(3x-6)+2=x-2+2=x
g(f(x))=3(1/3x+2)-6=x+6-6=x
the inverse is g(x)=3x-6
Answer:
Last year Jules' contract was for 1200 hours.
Step-by-step explanation:
This year Jules has a contract to work for 984 hours.
This is an 18% decrease on the hours on last year's contract.
Last year number: x
This years: 100 - 18 = 82% of last year, which is 984 hours. This means that:



Last year Jules' contract was for 1200 hours.
Volume is cubed. If the dimensions are doubled, cube the scale factor:
2^3 = 8
The volume will increase by a scale of 8.
The new volume would be 97 x 8 = 776 ft^3
Answer:
Hand sanitizer=135 bottles
Bar soap=83 bottles
Step-by-step explanation:
Let x represent the hand sanitizer and y the sop.
-Our problem can be expressed as:

#Make x the subject in i then substitute in ii to solve;

Hence, 135 bottles of hand sanitizer and 83 bottles of bar soap were sold.
Answer:
Basically find the unit rate by doing 3.99/24 = $0.16625/1oz
1 quart = 32 ounces so 4.8/32 = $0.15/1oz
1 gallon = 153.722 ounces so 11/153.722 = 0.07
49.6/768.61 = 0.06
Step-by-step explanation:
D.