Answer:
1
Step-by-step explanation:
g(3)= 3-2
g(3)=1
Find slope first
Two points: (-5,-2) and (5,4)
(4+2)/(5+5) = 6/10 = 3/5 slope
So far: y = 3/5x + b
Plug in any of the point
-2 = 3/5(-5) + b, b = 1
Final equation: y = 3/5x + 1
Sure! Let's do this in order.
First, we can simplify the left side with the distributive property, getting us
8c-14
Next, we can simplify the right side with the distributive property, getting us
8c-8-6.
That gives us 8c-14<8c-8-6.
We can subtract 8c from both sides, getting us
-14<-8-6
Simplify the right side to get
-14<-14
This inequality has no solution. This is because the variable is gone, and the remaining equation isn't true.
Part A
See the image labeled "part A". We'll use the values marked in blue and red for f(2) and g(2) respectively. These values are the function outputs when the input is x = 2.
(f-2g)(x) = f(x) - 2*g(x)
(f-2g)(2) = f(2) - 2*g(2)
(f-2g)(2) = 1 - 2*3
(f-2g)(2) = -5
Answer: -5
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Part B
See the image labeled "part B". We'll use the values marked in blue and red for g(-1) and f(0) respectively.
We have to start with g(-1) and then chain it to finding f(0) afterward.
g(-1) = 0
f(g(-1)) = f(0) = 9
Answer: 9
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Part C
See the image labeled "part C". We'll use the values marked in blue and red for g(-2) and g(-3) respectively.
Because g(-2) is the innermost function, it must go first, then g(-3) can go next.
g(-2) = -3
g(g(-2)) = g(-3) = 8
Answer: 8
There are many possible numbers. First, lets begin with the data there giving us. They are saying she wants to play a practice game so there at least needs to be 2 teams. It also says, that she wants 6 players on each team, nothing more and nothing less. So, for this we are going to use the 6 timetables.
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
6 x 6 = 36
There are also more numbers, but I am not doing those. But, for your first five, there can be 12, 18, 24, 30, and 36 students to be on the teams for the practice game.
