Answer:
9
Step-by-step explanation:
So there's 3 1's, 2 2's, 2 3's, 1 4, 2 5's, a 6, a 7, an 8, 2 0's, and no 9's.
Answer:

Step-by-step explanation:

For f(3), the input for the function f(x) is 3.
Let x (input) = 3.

Answer:
Step-by-step explanation:
x-the original price
y- the discounted price
y= the original price - 25 % discounted from x = x- (.25*x) = x( 1-.25) = .75x
equation is y= .75x
The equation should only be in the first quadrant because the prices can only be positive numbers.
In the binomial development, the main problem is calculation of binomial coefficients.
If we want to get term a∧8*b∧2 we see that this is the third member in binomial development (n 2) a∧n-2*b∧2
The given binomial is ((1/3)a∧2 - 3b)∧6, the first element is (1/3)a∧2, the second element is (-3b) and n=6 when we replace this in the formula we get
(6 2) * ((1/3)a∧2)∧(6-2) * (-3b)2 = (6*5)/2 * ((1/3)a∧2)∧4 *9b∧2= 15*(1/81)*9 *(a∧8b∧2) =
= 15*9* a∧8b∧2 = 135*a∧8b∧2
We finally get numerical coefficient 135
Good luck!!!
Answer:
P(x) = 0.50x - 5
Step-by-step explanation:
x = number of glasses sold
She charges $0.50 per glass, so her revenue is
R(x) = 0.50x
which is the amount of money she brings in
Her cost function is
C(x) = 5
assuming she only spends that $5.00 on the supplies mentioned.
The profit P(x) is the difference of revenue and cost
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = 0.50x - 5