Answer:
g(x)=(x-2)^2
Step-by-step explanation:
the equation of of the graph of g(x) is:
g(x)=(x-2)^2, since the following transformation has been done to it:
right one unit
since the equation in vertex form is g(x)=a(x-h)^2+k, it is moved two units to the right and not to the left
since g(x) has the same shape, it had not been compressed or stretched by any means, meaning that a is 1
10 bows, 6 silk roses, and 8 silk carnations
60 ÷ 6 = 10
36 ÷ 6 = 6
48 ÷ 6 = 8
Answer:
The probability is
Step-by-step explanation:
We can divide the amount of favourable cases by the total amount of cases.
The total amount of cases is the total amount of ways to put 8 rooks on a chessboard. Since a chessboard has 64 squares, this number is the combinatorial number of 64 with 8,
For a favourable case, you need one rook on each column, and for each column the correspondent rook should be in a diferent row than the rest of the rooks. A favourable case can be represented by a bijective function with A = {1,2,3,4,5,6,7,8}. f(i) = j represents that the rook located in the column i is located in the row j.
Thus, the total of favourable cases is equal to the total amount of bijective functions between a set of 8 elements. This amount is 8!, because we have 8 possibilities for the first column, 7 for the second one, 6 on the third one, and so on.
We can conclude that the probability for 8 rooks not being able to capture themselves is
In slope intercept form, the slope is the coefficient of x.
So, 1/3 is the answer.
Slope is equal to rise over run.
Rise = 4
Run = 3
Therefore, the slope is 4/3 (option 4).