For each, you'll use the slope formula
m = (y2-y1)/(x2-x1)
For function f, you'll use the two points (1,6) and (2,12) since x ranges from x = 1 to x = 2 for function f
The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (12-6)/(2-1)
m = 6/1
m = 6
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For function g, you'll use (2,4) and (3,20)
The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (20-4)/(3-2)
m = 16/1
m = 16
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For function h, you'll use (0,-6) and (2,-18). The y coordinates can be found by plugging in x = 0 and x = 2 respectively into h(x)
The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (-18-(-6))/(2-0)
m = (-18+6)/(2-0)
m = (-12)/(2)
m = -6
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The order from left to right is: h, f, g
Answer:
The cost of one month of game play is $12.
Step-by-step explanation:
We are given the following in the question:
Cost of software package = $30
Let y dollars be the cost of one month of game play.
Angie buys 1 software package and 2 months of game play.
Angie's cost =
Kenny buys 1 software package and 4 months of game play.
Kenny's cost =
Total cost = $132
Thus, we can write the equation:
Thus, the cost of one month of game play is $12.
Answer:
See explanation
Step-by-step explanation:
Given:
18m + 42n
These two variables are not the same, so we can't add the two terms. However, we can factor out a number out of this expression.
The GCF of 18 and 42 is 6.
We can draw 6 out of this expression to get 6(3m + 7n).
This is an equivalent expression.
We can also draw 2 out to get 2(9m + 21n).
We can also draw 3 out to get 3(6m + 14n).
We can also draw 1/2 out to get (1/2)(36m + 84n).
There are endless possibilities, but these are a few. You get the idea!
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The answer is in the photo provided
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If we have two functions 
such that 
for every 
in the domain of 
, and 
for every for every in the domain of 
. If we prove this, then is the invers function of and denoted by 
1. We need to prove whether . So:
2. We need to prove whether . So:
Since 
, then:
are inverses to each other.
