Answer:
See explanations below
Step-by-step explanation:
Given the functions
f(x) = 12x - 12
g(x) = x/12 - 1
To show they are inverses, we, must show that f(g(x)) = g(f(x))
f(g(x)) = f(x/12 - 1)
Replace x with x/12 - 1 into f(x)
f(g(x)) =12((x-12)/12) - 11
f(g(x)) = x-1 - 1
f(g(x)) =x - 2
Similarly for g(f(x))
g(f(x)) = g(12x-12)
g(f(x)) =(12x-12)/12 - 1
12(x-1)/12 - 1
x-1 - 1
x - 2
Since f(g(x)) = g(f(x)) = x -2, hence they are inverses of each other
With a pencil and paper, you could easily try a few and answer this question on your own. Every polygon has EQUAL numbers of sides and angles.
Y = 2/3x + 3
If x = 3, plug it in the equation to find y for (3 , y)
y = 2/3(3) + 3
y = 6/3 + 3
y = 2 + 3
y = 5
(3 , 5)
Step-by-step explanation:
Data Set A: 14, 21, 24, 28, 28, 35
Data Set B: 18, 19, 21, 25, 29,32
Median:
Data Set A = 26
24 + 28 = 52
52/2 = 26
Data Set B = 23
21 + 25 = 46
46/2 = 23
Mean:
Data Set A = 25
14 + 21 + 24 + 28 + 28 + 35 = 150
150/6 = 25
Data Set B = 24
18 + 19 + 21 + 25 + 29 + 32 = 144
144/6 = 24
Answer:
Step-by-step explanation:
Both triangles are congruent. So, both triangles will have the same height.
Height of the triangle = 14/2 = 7 m