I'm not 100% sure if I'm doing it the right way, but I think the answer is the factorial of the number of letters divided by the factorials of the number of elements of each kind of element (in this case, the same letters)
9!/1!4!1!2!1!
= 9 · 8 · 7 · 6 · 5 · 4!/4!2!
= 9 · 8 · 7 · 6 · 5/2
= 9 · 4 · 7 · 6 · 5
= 63 · 120
= 7,560 permutations
Answer:
B)
Step-by-step explanation:
no. of Classes = x
cans = 220
220×x = 220x
no.of classes × cans = total number of cans
Answer:
A
Step-by-step explanation:
PEMDAS means always do parenthesis first, which means subtract 10-6=4
Answer:
f(-3) = 21
g(3) = 69
Step-by-step explanation:
We have been given the following functions;
f(x) = –6x + 3
g(x) = 3x + 21x–3.
To find f(-3) , we simply substitute x = -3 in the function of f(x);
f(-3) = -6(-3) + 3
= 21
To find g(3) , substitute x = 3 in the function of g(x);
g(3) = 3(3) +21(3) - 3
= 69
(2x + y)³
(2x + y)(2x + y)(2x + y)
(2x(2x + y) + y(2x + y))(2x + y)
(2x(2x) + 2x(y) + y(2x) + y(y))(2x + y)
(4x² + 2xy + 2xy + y²)(2x + y)
(4x² + 4xy + y²)(2x + y)
4x²(2x + y) + 4xy(2x + y) + y²(2x + y)
4x²(2x) + 4x²(y) + 4xy(2x) + 4xy(y) + y²(2x) + y²(y)
8x³ + 4x²y + 8x²y + 4xy² + 2xy² + y³
8x³ + 12x²y + 6xy² + y³
