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balandron [24]
3 years ago
15

(3y)^-2(9y)^2/3y^-4=

Mathematics
1 answer:
ladessa [460]3 years ago
4 0
Simplify the following:(9 y)^2/(3 (3 y)^2 y^4)
Multiply each exponent in 3 y by 2:(9 y)^2/(3×3^2 y^2 y^4)
3^2 = 9:(9 y)^2/(3×9 y^2 y^4)
Multiply each exponent in 9 y by 2:(9^2 y^2)/(3×9 y^2 y^4)
9^2 = 81:(81 y^2)/(3×9 y^2 y^4)
(81 y^2)/(3×9 y^2 y^4) = y^2/y^2×81/(3×9 y^4) = 81/(3×9 y^4):81/(3×9 y^4)

3 | 2 | 7 | 8 | 1- | 6 |  | 2 | 1- | 2 | 1 | | 0:27/(9 y^4)
27/9 = (9×3)/9 = 3:Answer:  3/y^4
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The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers.
Minchanka [31]

The small number is 2.

The large number is 3.

<u>Step-by-step explanation:</u>

Let the two consecutive numbers be x and x+1.

  • x be the small integer.
  • x+1 be the large integer.

The sum of these two consecutive integers = small integer + large integer

The sum of these two consecutive integers is x+x+1 = (2x+1)

It is given that,

  • The sum of two consecutive integers is one less than three times the smaller integer.
  • This means that, (2x+1) is one less than three times the smaller integer.
  • Here, the small integer is represented as x.

<u>Therefore, it can determined that :</u>

(2x+1) = 3x-1

Keeping x term on one side and constants on other side,

3x-2x = 1+1

x = 2

Therefore, the small number is 2 and the large number is x+1 = 3.

3 0
3 years ago
I’m having trouble answering e,f, and g
kodGreya [7K]
What’s is it about can you tell me.?
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4 years ago
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tensa zangetsu [6.8K]
Is point B.
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Solve the inequality state your answer algebraicly and in interval notation<br> 4(n-3)-2n&lt;-10+2n
AlexFokin [52]

Answer:

See below

Step-by-step explanation:

Expand L side to get

4n -12   -2n  <  -10 + 2n     simplify L side

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<u>-12 < -10 </u>    <===== so the equation is true for ALL n

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2 years ago
The ratio of the number of oranges in a fruit salad to people served is 9/40. If Lisa wants to serve 800 people, how many orange
zysi [14]

180

Step-by-step explanation:

9:40

?:800

9×20=180

40×20=800

it is a ratio. 9 oranges to 40 people. 40 times 20 is 800 so you do the same to 9 (which gives you 180)

7 0
3 years ago
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