Answer:
1. 20
2. 23
3. 6
Step-by-step explanation:
We have that:
f(x) = 2x
g(x) = x² + 1
f(g(x)) is the composite function of f and g. So
f(g(x)) = f(x²-1) = 2(x²+1) = 2x² + 2
1. f(g(3))
f(g(x)) = 2x² - 2 = 2(3)² + 2 = 18 + 2 = 20
2. f(3)+g(4)
f(3) = 2(3) = 6
g(4) = 4² + 1 = 17
f(3) + g(4) = 6 + 17 = 23
3. f(5) - 2g(1)
f(5) = 2(5) = 10
g(1) = (1)² + 1 = 2
f(5) - 2g(1) = 10 - 2*2 = 10 - 4 = 6
Answer:
3a^2+12a-7
Step-by-step explanation:
The slope of AB is also -5. This is because parallel lines have equal slopes.
Answer:
Charlie's solution is incorrect.
Part A: The equation must be divided by the number next to the variable. So 5x will be divided by 5 which will equal x, and 30 will be divided by 5 which equals 6. The final answer will be x=6.
Part B: The equation will have one solution because there is only one way to solve it.
10 wins/ 6 losses= 1.667
13 wins/ 7 losses= 1.857..
32 wins/ 18 losses= 1.77..
6 wins/ 3 losses= 2
The last team has the highest win to loss ratio, and therefore has the highest winning percentage.
Final answer: Last team, 6 wins and 3 losses
