1. The counterclockwise rotation by 90° about the origin has rule:
(x,y)→(-y,x).
Then
(-3,-1)→(1,-3).
2. Translation 4 units up has rule:
(x,y)→(x,y+4).
Then
(1,-3)→(1,1).
Answer: after composition of transformations the image point has coordinates (1,1).
Answer:
15 pairwise comparisons; 30 pairwise rankings.
Step-by-step explanation:
Each of the 6 candidates can be ranked #1 in relation to the other 5, for a total of 30 pairwise rankings.
Of course, two of those are comparisons of the same pair of candidates. The same is true of all pairs of candiates, so the number of pairwise comparisons is half the possible number of rankings: 30/2 = 15.
_____
For example, for the pair of candidates A and B, you can have the two rankings ...
These cases are possible outcomes of the the one pairwise comparison ...
Answer:
D 6
Step-by-step explanation:
note that (f ￮ g)(x) = f(g(x))
To evaluate f(g(x)) substitute x = g(x) into f(x)
f(g(x)) = f(4x³ + 1)
= 3(4x³ + 1)²
= 3(16
+ 8x³ + 1)
= 48 + 24x³ + 3 ← polynomial of degree 6
The degree of a polynomial is the value of the largest exponent, that is 6
Answer:
the answer is D.
Step-by-step explanation:
