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allochka39001 [22]
2 years ago
10

Simplify (9y²-x² )÷ (xy+3y²)

Mathematics
1 answer:
alexdok [17]2 years ago
6 0

Step-by-step explanation:

  • \cfrac{(9y²-x² )}{ (xy+3y²)}
  • \cfrac{3 {}^{2} (y) {}^{2}  - x}{3(y {})^{2} + xy }
  • 3 {}^{2 - 1} y {}^{2 - 2 - 1}  - x {}^{2 - 1}
  • 3 y  { }^{ - 1}  - x

  • \cfrac{3}{y}  - x

Therefore,the answer is \cfrac{3}{y}  - x.

  • [Some of the steps I didn't show,try by yourself,to find!]
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A Hot air balloon can hold 90,000 cubic feet of air. It is being inflated at a rate of 6,000 cubic feet per minute . The total c
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\bf \stackrel{\textit{cubic feet of air}}{\stackrel{\textit{dependent}}{a(t)}}\qquad \stackrel{\stackrel{\textit{time in minutes}}{independent}}{t}~\hspace{7em}a(t)=6000t


the "t" variable is independent, namely it can change values "freely", and a(t) is dependent, because it depends on those values on "t" to get its own value.

if we make a table of values for minutes, we know the balloon is inflating at 6000 ft³ each passing minute.

1 minute......................... 6000(1) ft³

2 minutes......................6000(2) ft³

3 minutes......................6000(3) ft³

4 minutes......................6000(4) ft³

t minutes......................6000(t) ft³


before getting in the domain and range, let's find out how much air after 6 minutes.

a(6) = 6000(6)

a(6) = 36000 ft³.


now, what domain, namely values for "t" make sense?

well, we know the balloon can only hold up to 90000 ft³, and on every passing minute is filling up by 6000 ft³, after how many minutes will it be filled up?

90000/6000 = 15, after 15 minutes.

so at 0 minutes, t = 0, the balloon is empty, and 15 minutes later, t = 15, the balloon is filled up, [ 0 , 15 ].


what values for the range, namely a(t), makes sense?

well, we know when the balloon is empty is holding 0 ft³, and when is full it has 90000 ft³, [0 , 90000].

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3 years ago
Which is the correct simplified form of the expression ? (Will give brainiest)
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Answer:

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Step-by-step explanation:

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3 years ago
Write an expression equivalent to (7x + 5) - (3x - 5)​
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Answer:

= 2(2x + 5)

Step-by-step explanation:

Given that:

= (7x + 5) - (3x - 5)​

By simplifying

"-" sign before bracket will alter the inner signs

= 7x + 5 - 3x + 5

Adding like terms

= 4x + 10

By taking 2 common we get:

= 2(2x + 5)

i hope it will help you!

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3 years ago
What is the difference in elevation between -92 and 3720
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3 years ago
-1/15 +(-3/5)=, show ur work plz
sergij07 [2.7K]
Answer: -2/3

-1/15 + (-3/5)
-1/15 - 3/5

-3/5 = -9/15

-1/15 - 9/15 
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-2/3 
5 0
3 years ago
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