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miv72 [106K]
3 years ago
14

Simplify this expression. -3[2-(y-5)]-4[3(y+1)-(6-y)(-2)]

Mathematics
1 answer:
suter [353]3 years ago
5 0

Answer:

-81 - y

Step-by-step explanation:

To simplify the expression -3[2-(y-5)]-4[3(y+1)-(6-y)(-2)] use order of operations or PEMDAS.

-3[2-(y-5)]-4[3(y+1)-(6-y)(-2)]

-3[2-y+5]-4[3y + 3+12 -2y]

-3[7-y] -12y-12-48+8y

-3[7-y] - 4y - 60

-21 + 3y - 4y - 60

-81 - y

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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.

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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?

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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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It is correct to state that a bit can be in one of 2 states, either 1 or 0.

<h3>What is a bit?</h3>

A bit is is a single binary digit. A bit can either be "1" or "0".

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We stated that It is correct to indicate that a bit can be in one of 2 states, either 1 or 0. This indicates that 2ⁿ strings must be created in total. The string must then be processed twice.

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