The rule for g(x) is: 
Step-by-step explanation:
Given function is:
When a function f(x) is shifted right or left, b units the new function is written as:
Shifting right
Shifting left
Similarly, when shifting up or down
As our given function is shifted 3 units to the right, it will be written as:
The function is when moved down 3 units, then
Hence
The rule for g(x) is:
Keywords: Function transformation, Functions
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For this case we have the following expression:
-9x ^ -1y ^ -1 / -15x ^ 5 y ^ -3
For power properties we have:
-9x ^ (- 1-5) y ^ (- 1 - (- 3)) / - 15
Rewriting we have:
9x ^ (- 6) y ^ (- 1 + 3) / 15
3x ^ (- 6) y ^ (2) / 5
3y ^ 2 / 5x ^ 6
Answer:
3y ^ 2 / 5x ^ 6Note: answer is not between the options. Rewrite the expression again, or the options.
Part A.
The trip starts at 8am which corresponds to 0 hrs, point (0hr, 0mi)
2hrs later it's 10am. .point (2hr, 140mi)
The average speed is the slope between 0 and 2 hrs. Remember the slope formula m = Δy/Δx
m = (140 - 0) / (2 - 0)
m = 70 mph
Part B. Average speed from 11am - 2pm
11am is point (3hr, 140mi)
2pm is point (6hr, 300mi)
As you can see from the graph, the speed or slope changes at 1pm (5,260). You Can just use the start and end points.
m = (300-140) / (6-3)
m = 160/3
53.3 mph
* It comes out the same solution as if you average the two different slopes. 2hrs at 60mph + 1 hr at 40mph = (120 + 40)/3 = 160/3
Part C. Total average speed = total distance / total time driving
He went 70 mph for 2 hrs
stopped for an hour (slope is zero, no speed)
60 mph for 2hrs
40mph for 1 hr
300mi /5hr = 60mph
Part D. No Question....
Answer:
2
Step-by-step explanation:
B)26 is the answer for the question
