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Serjik [45]
3 years ago
13

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -36 and 2304, respectively.

Mathematics
1 answer:
Lorico [155]3 years ago
3 0

Answer:

I think it's B.)

Step-by-step explanation:

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A. The solution is (−2,−3)
Cerrena [4.2K]

9514 1404 393

Answer:

  D.  (-3, -2)

Step-by-step explanation:

The equations have different coefficients for x and y, so will have one solution. The solutions offered are easily tested in either equation.

Using (x, y) = (-2, -3):

  x = y -1  ⇒  -2 = -3 -1 . . . . False

Using (x, y) = (-3, -2):

  x = y -1  ⇒  -3 = -2 -1 . . . .True

  2x = 3y  ⇒  2(-3) = 3(-2) . . . . True

The solution is (-3, -2).

__

If you'd like to solve the set of equations, substitution for x works nicely.

  2(y -1) = 3y

  2y -2 = 3y . . eliminate parentheses

  -2 = y . . . . . . subtract 2y

  x = -2 -1 = -3

The solution is (x, y) = (-3, -2).

5 0
3 years ago
If the perimeter is 284, what is the value of a? <br> Please show work xx
devlian [24]

Answer:

8

Step-by-step explanation:

Perimeter is 284 means the sum of the side measurements is 284.

That is, we have to solve:

(6a+8)+(12a)+(10a-4)+(6a+8)=284

Combine like terms:

(6a+12a+10a+6a)+(8+0+-4+8)=284

Simplify:

34a+12=284

Subtract 12 on both sides:

34a=284-12

Simplify:

34a=272

Divide both sides by 34:

a=\frac{272}{34}

Simplify:

a=8

3 0
4 years ago
Read 2 more answers
Two arcades have different pricing structures. Arcade A costs $5 to enter and $0.60 per game. Arcade B costs $7 to enter and $0.
WARRIOR [948]

Answer:

10 games

Step-by-step explanation:

Let C be cost and x be number of games

Arcade A: C = 5 + 0.6x

Arcade B: C = 7 + 0.4x

for both arcades to be the same price, Both C's must be equal, hence we equate the right side of both equations:

5 + 0.6x = 7 + 0.4x   (subtract 5 fromboth sides)

0.6x = 7 + 0.4x - 5

0.6x = 2 + 0.4x  (subtract 0.4x from both sides)

0.6x - 0.4x = 2

0.2x = 2 (divide both sides by 0.2)

x = 2 / (0.2)

x = 10

7 0
3 years ago
Read 2 more answers
15 out of 25 students play video games. what percnt play video games
Jobisdone [24]

Answer:

44% play video games

have a good day

4 0
3 years ago
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Is this correct. Im not sure
Art [367]

Answer:

yes u right

Step-by-step explanation:

4 0
3 years ago
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