Answer:
1) f(g(-2))=-3, 2) g(f(0))=5
Step-by-step explanation:
1)f(g(-2))
First, g(-2) means that x=-2. Hence, you must find the value of g(x) in the table when x=-2. You can see that, when x=-2, g(-2) = -3.
Next, you must find f(-3) in the graph, where x=-3. You can see in the graph that, when x=-3, f(-3) = -2.
Therefore, f(g(-2))=-3
2) g(f(0))
In the case, we must apply the inverse procedure. First, check in the graph that, when x=0, f(0) =1.
Next, we must look at the table and see that, when x=1, g(1)=5. Hence,
g(f(0))=5
Answer:
x = 11
Step-by-step explanation:
A triangle has three sides, which are its edges. Also, it has three vertices that are the corners of a triangle and where two edges meet.
The circumference is equidistant from the vertices of the triangle:
Equidistant = At equal distances.
The vertices in the picture are: A, B, C
The circumcenter is: P
So, we can apply the rule: PA = PB = PC
PA = 38
PB = 6x - 28
PC = ?
And since the picture labels PA and PB, we set up the equation:
PA = PB = PC
38 = 6x - 28
Add 28 to both sides
38 + 28 = 6x - 28 + 28
66 = 6x
Divide 6 on both sides
66/6 = 6x/6
Simplify
11 = x
Flip the equation
x = 11
Answer:
5
Step-by-step explanation:
The mean is the average so add up all values of the data points and divide by the amount of data points.
