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2 years ago

The second and third terms of a G.P is 6 times the fourth term. Find the possible values of the common ratio.

Mathematics

1 answer:

egoroff_w [7]2 years ago

7 0

Answer:

-1/3 or 1/2.

Step-by-step explanation:

Second term = ar, the third = ar^2 and the fourth = ar^3.

So we have the equation:

ar + ar^2 = 6ar^3

r + r^2 = 6r^3

6r^3 - r^2 - r = 0

r(6r^2 - r - 1) = 0

(3r + 1 )(2r -1) = 0

r = -1/3, 1/2.

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Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance b

Ede4ka [16]

Answer:

After 1.7 hours

Explanation:

1. Calculate the average speed of train B

60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

2. Build a table

When the two trains meet:

Train Average speed Distance time (distance/average speed)

mph

A 60 x x/60

B 80 240 - x (240 - x) / 80

3. Write the equation

The time, when the two trains meet, is the same for both trains:

$\dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles$

4. Calculate the time:

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7 0

2 years ago

Which are partcial products for 34 x 28

Novosadov [1.4K]

Answer:

952

Step-by-step explanation:

34 = (30 + 4)

28 = (20 + 8)

34 x 28 = (30 + 4) x (20 + 8)

34 x 28 = 30 x 20 + 30 x 8 + 4 x 20 + 4 x 8

34 x 28 = 600 + 240 + 80 + 32

34 x 28 = 952

952 = 952

3 0

3 years ago

You hang two strands of decorative lights.

Sphinxa [80]

Answer:

The stands will change color at the same time after 54 seconds.

Step-by-step explanation:

Find the Lcm number of both number (18 and 27)

The answer will be 54

5 0

2 years ago

What times what eqals 40

uranmaximum [27]

5x8=40 or 40x1=40 this will works

7 0

2 years ago

Read 2 more answers

Will mark bianleast

Leni [432]

Answer:

(–5, 5)

Step-by-step explanation:

Start with the x-axis (left and right).

-5 so you go to the left by 5 steps.

Next is y-axis (up and down).

Without moving your spot in -5, you move up by 5 steps.

That is point F.

Tip: (x-axis, y-axis) or (left/right, up/down)

Negative number: Left or Down

Positive number: Right or Up

8 0

3 years ago

The second and third terms of a G.P is 6 times the fourth term. Find the possible values of the common ratio. ​

The second and third terms of a G.P is 6 times the fourth term. Find the possible values of the common ratio.