Answer:
For this case, the first thing we must do is define variables:
x: number of hammers
y: number of wrenches
We write the system of inequations:
10x + 6y <= 120
x + y> = 14
Step-by-step explanation:
Answer with Step-by-step explanation:
We have to prove that
by using Euler's formula
Euler's formula :

By using Euler's identity, we get





Comparing imaginary part on both sides
Then, we get

Hence, proved.
A random supporter roots the home team with probability 0.9, and the away team with probability 0.1.
Choosing 6 out of 8 supporters who root for the home team has probability

F(x) = x² increases at a faster rate than g(x) = 2x.
f(x)
Reason:
x = 0, 1, 2, 3, 4, 5, 6, 7
f(x) = 0, 1, 4, 9, 16, 25, 36, 49
g(x) = 0, 2, 4, 6, 8, 10, 12, 14.
Comparing the values of f(x) and g(x), we can see that that of f(x) are far higher than that of g(x) for the same values of x.
So f(x) increases at a faster rate.