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vodka [1.7K]
3 years ago
6

(x - 3)(2x^2 - 5x + 1)

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0

Answer:

2x^3-11x^2+16x-3

Step-by-step explanation:

Multiply x to all the other factors in the second parenthesis

Multiply -3 to all the other factors in the second parenthesis

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A boat traveled 240 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed
RoseWind [281]

Answer:

rate boat = 15 mph

rate current = 5 mph

explanation:

d = r * t

t = d/r

240 / (r_boat + current) = 12       Multiply both sides by r_boat + r_current.

240 = 12(r_boat + current)

240/ (r_boat - current) = 24       Multiply both sides by r_boat - r_current

240 = 24*(r_boat - current)    

Since the distances are the same in both equations, you can equate the right side of each.

12 (r_boat + current) = 24(r_boat - current)     Divide by 12

r_boat + current  = 2 (r_boat - current)             Remove the brackets.

r_boat  + current = 2*r_boat - 2* current          add 2 currents to both sides

r_boat  + 3currents = 2*r_boat                          Subtract r_boat both sides

3 currents = r_boat.

240 = 12*(r_boat + current.                               Divide by 12

20 = r_boat + current                                        Put 3 currents in for r_boat

20 = 3currents + 1 current                                Combine

20 = 4 currents                                                  Divide by 4

5 = current

The rate of the current = 5 miles / hour

3 currents = r_boat

3*5 = rate_boat

15 = rate of the boat

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Answer:

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yes, ASA

Step-by-step explanation:

You have two angles and the included side of two triangles, so you can prove the triangles are congruent by ASA.

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