Answer:
y= -3
Step-by-step explanation:
4(2) - 3y = 17
8-3y=17
-8 -8
-3y=9
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-3
y=-3
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Answer:
3/(x +1) -4/(x +1)^2
Step-by-step explanation:
The partial fraction expansion will be of the form ...
A/(x+1)^2 +B/(x+1)
We can find the values of A and B by writing the sum of these terms:
= (A +B(x +1))/(x +1)^2
Then we require ...
B = 3
A +B = -1 ⇒ A = -4
So, the desired expansion is ...
3/(x +1) -4/(x +1)^2
Answer:
22 miles per hour
Step-by-step explanation:
Against the current, the boat's rate of travel is ...
(120 mi)/(6 h) = 20 mi/h
With the current, the boat's rate of travel is ...
(120 mi)/(5 h) = 24 mi/h
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The sum of boat speed (b) and current speed (c) is 24 mph. The difference is 20 mph. This lets us write the equations ...
b + c = 24
b - c = 20
Adding these two equations together, we get ...
2b + 0c = 44
b = 22 . . . . . . . . divide by 2
The rate of the boat in still water is 22 miles per hour.
Answer: (-24,2)
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Work Shown:
The y coordinate stays the same. Only the x coordinate will change.
(1/4)*x = -6
x = -6*4
x = -24 is the new x coordinate
Plugging x = -24 into f((1/4)x) leads to f(-6) = 2
