We can solve problems like this using multiplication rules. Since the order of colors and combinations does not matter, we can multiply all values in any order we so choose. In this case, our values are colors and vehicles:
Car: Red, Yellow
Truck: Black, White, Silver
Motorcycle: Green, Blue, Orange
We have 2 options with a car, 3 options with a truck, and 3 options with a motorcycle. Since he wants one of each, we will multiply all of the color options together:
2 x 3 x 3
= 18
Edwin has 18 different combination of vehicles to choose from.
Answer:
I think it's commutative. ;-;
Step-by-step explanation:
Answer:
When f(n) = 4n and g(n) = n² + 2n, f(g(-6)) = 96.
Step-by-step explanation:
To evaluate f(g(-6)), first find g(-6).
g(n) = n² + 2n
Substitute value.
g(-6) = (-6)² + 2(-6)
Square -6. Remember that (-x)² = x²
g(-6) = 36 + 2(-6)
Multiply 2 and -6.
g(-6) = 36 - 12
Subtract 12 from 36.
g(-6) = 24.
Now knowing this, substitute that value into f(n).
f(g(-6)) = f(24)
f(n) = 4n
Substitute value.
f(24) = 4(24)
Multiply 4 and 24.
f(24) = 96.
