8 / 2 = 45 / x....8 servings to 2 cups = 45 servings to x cups
cross multiply
(8)(x) = (2)(45)
8x = 90
x = 90/8
x = 11 1/4 (or 11.25) cups of flour are needed <==
Given functions are:

and 
Using both functions we need to find value of (f*g)(x)
(f*g)(x) simply means find product of f(x) and g(x) so we will multiply values of each function as shown below:





Hence final answer is
.
Answer:
20*30km = 600km
15*30km = 450km
600km * 450km = 270000 km^2
Step-by-step explanation:
assuming 1cm --- 30km causes that 2cm --- 60km, 3cm --- 90km, 4cm --- 120km etc. Notice that number of km's is 30 times greater than the number of cm's on a map
using this logic, you calculate both real dimensions of Colorado by multiplying 20*30 = 600 km and 15*30 = 450km
Then we use a formula of an area of a rectangle
assuming
and get
which is an actual area of Colorado
When taking the composite of two functions, the resulting domain is the more restrictive of the two original domains. g(x) has a domain of all real numbers, but f(x) has a domain of x=/= 2. So, the domain of f(g(x)) is x=/= 2
Answer:
x=25, 120
Step-by-step explanation:
The two angles form a straight line so they add to 180
60 + 4x +20 =180
Combine like terms
4x+80 = 180
Subtract 80 from each side
4x+80-80 =180-80
4x= 100
Divide by 4
4x/4 =100/4
x= 25
The exterior angle is
4x+20 = 4*25+20 =100+20 =120