Answer:
x = -3+√5, -3-√5 (exact roots)
or x = -0.76, -5.24 to the nearest hundredth.
Step-by-step explanation:
x² + 6x = - 4
Completing the square:
(x + 3)^2 - 9 = -4
(x + 3)^2 = 5
x + 3 = +/-√5
x = - 3 + √5, - 3 - √5
Let the boat speed in still water be b.
Let the current speed be c.
The speed going upstream is 20/4 = 5 mph.
The speed going downstream is 32/4 = 8 mph.
b - c = 5 ........(1)
b + c = 8 .......(2)
Adding equations (1) and (2) we get:
2b = 13
b = 13/2 = 6.5
Plugging in the value for b into equation (1) we find c = 1.5.
The boat speed in still water is 6.5 mph and the current speed is 1.5 mph.
The correct option is option d
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Answer:
18
Step-by-step explanation:
8 3/4 + 9 2/8
We can simplify 2/8 by dividing the top and bottom by 2
8 3/4 + 9 1/4
Add the whole numbers
8+9 = 17
3/4 + 1/4 = 4/4 = 1
Add this to the whole numbers
17+1 = 18
