Answer:
1d 6.742 1e 6
Step-by-step explanation: By sketching out the graph you can see the positive x intercept to find 1d
You can also replace h with 25 and isolate t to find 1e
Answer:
Step-by-step explanation:
rate of change is how fast it changes, so think of it like looking at average speed. If a car moves so the distance is shown by that equation then at second 1 it is 10(1)+3 = 13 meters then at second 8 it's at 10(8)+3 = 83 what is the average speed? well, speed is distance / time, so let's do that. what was the change in distance, or the difference in other words. Well, it's 83-13 = 70. change in time is similarly 8-1 = 7 so now speed would be 70/7 = 10. So that's the rate of change.
Look though, in the equation we have 10x. Things would be different if it wasn't just x, but since it is we can really easily find the rate of change by looking at the number next to x. If it were something else, or inside a set of parenthesis it wouldn't be this simple.
Answer:
Constant of variation is 6
Step-by-step explanation:
<h3>
Answer:</h3>
3 mi/h
<h3>
Step-by-step explanation:</h3>
Let c represent the speed of the current. Then 9+c is Nathan's speed downriver, and 9-c is Nathan's speed upriver. He travels 16 miles each way, so his total time is given by ...
... time = distance/speed
... total time = time downriver + time upriver
For distances in miles, speeds in miles per hour, and time in hours, this is ...
... 4 = 16/(9 +c) + 16/(9 -c)
... 9² -c² = 4(9 -c) +4(9+c) . . . . . multiply by (9+c)(9-c)/4
... 81 -c² = 72 . . . . . . . . . . . . . . . simplify
... 9 = c² . . . . . . . . . . . . . . . . . . . add c²-72
... c = 3
The speed of the current in the river is 3 mi/h.
Answer:
3 nickels and 15 quarters.
Step-by-step explanation:
Hope this helps!