F(g(x))=9(-x+3)-2
So: f(g(x)=-9x+27-2=-9x+25
Answer:
B.
Step-by-step explanation:
The given matrix is
The determinant of this matrix is
Since the determinant is not zero, it means the inverse exists.
The inverse is given by
The correct choice is B.
Answer:
a. 3 ways: -3 and -1; -2 and -2; -1 and -3
b. 5 ways: -2 and 2; -1 and 1; 0 and 0; 1 and -1; 2 and -2
c. 6 ways: -3 and 2; -2 and 1; -1 and 0; 0 and -1; 1 and -2; 2 and -3
d. A sum of -1 would (probabilistically) be the most popular. There are 36 (6 x 6) possible outcomes every time you roll two 6-sided dice. In this case, the possible outcomes are:
-6: 1 way
-5: 2 ways
-4: 3 ways
-3: 4 ways
-2: 5 ways
-1: 6 ways
0: 5 ways
1: 4 ways
2: 3 ways
3: 2 ways
4: 1 way
So -1 is the most likely sum since it can be rolled 6 different ways, which is more ways than any other sum. A sum of -1 will be rolled 6/36 (or 1/6) of the time.
Answer:
420miles
Step-by-step explanation:
240/4=60MI/H
Oscar's speed is 240mi/4h = 60mi/h
How far he drives in 7 hours: 60mi/h * 7h = 420mi
Step-by-step explanation:
F(g(x)) = F(x-4)
= 5(x-4) +4
= 5x-20+4
=5x-16
G(f(x)) = G(5x-4)
= (5x-4) -4
= 5x-8