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Delicious77 [7]
3 years ago
6

If a function is one to one then the range becomes the what of the inverse function

Mathematics
1 answer:
Ganezh [65]3 years ago
4 0

One-to-One Functions. ... If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 . A function f has an inverse f−1 (read f inverse) if and only if the function is 1 -to- 1 .

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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
mojhsa [17]

\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].

5 0
3 years ago
Somebody please answer those two I NEED THEM LIKE NOWW​
DochEvi [55]

Answer:

already put answer lol i just want points

Step-by-step explanation:

6 0
3 years ago
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EXTREMELY URGENT! I'm in a timed math test atm, and I need answers for lots of questions! Look at the pictures posted, ignore my
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Answer:

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Step-by-step explanation:

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A bacteria culture doubles every hour. If there are 15000 bacteria now, how many bacteria were there 6 hours ago? Use an exponen
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23.4375 or 24.0 is the bacteria count after 6 hours.
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3 years ago
One cup equals approximately 236 ml. Approximately how many ml are there in one gallon
GREYUIT [131]

Answer:

<u>Approximately there are 3,785.6 milliliters in one gallon </u>

Step-by-step explanation:

Let's find out how many milliliters are there in one gallon.

1 US Cup = 236.6 ml (actual equivalence)

Let's recall that:

16 US Cups = 1 US Gallon

Therefore,

1 US Gallon = 16 * 236.6 ml

1 US Gallon = 3,785.6 ml

<u>Approximately there are 3,785.6 milliliters in one gallon</u>

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3 years ago
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