Answer:
1. 8.4 2. 15
Step-by-step explanation:
1. 4x+8y= 40
wen y= 0.8
4x+8×0.8=40
4x=40-8×0.8
4x= 40- 6.4= 33.6
....x= 33.6/4 = 8.4
2. 3a+b= 54
wen b= 9
3a+ 9= 54
3a= 54- 9
3a=45
.....a = 45/3 = 15
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The main thing you want to ask yourself is "What is the difference between the two graphs?"
As we can see, the graphs look identical in every way except that g(x) is lower than f(x).
This means that the graph is shifted down a certain amount.
If we look at the y-intercepts of the two functions, we see that f(x) has a y-intercept of 1, and g(x) has a y-intercept of -1.
This means that f(x) is two units lower than g(x).
The y-intercept of a function can be changed by adding or subtracting a number to the original function (in this case 2^{x}).
Because the graph f(x) is 2 lower than the graph of g(x), we can find g(x) by subtracting 2 from f(x).
Therefore, g(x) = 2^{x} - 2.
Answer:
A) Sheri has the faster commute by 6.2 miles/hr.
Step-by-step explanation:
Given
John's commute to work 
Sheri's commute to work 
John's commute to work in miles per hour = 
Sheri's commute to work in miles per hour =
We can see that Sheri has a faster commute.
Difference between the rates =
∴ Sheri has the faster commute by 6.2 miles/hr.
