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Elina [12.6K]
2 years ago
14

Evaluate the expression: –32 – (–52) – (15 – 33).

Mathematics
1 answer:
Ivahew [28]2 years ago
3 0

The result correct of this expression is 38

-

In a numeric expression, we first resolve the numbers that are in symbol, such as:

  • parentheses, square brackets and braces.
<h3> </h3>

The signs calculated in order are:

  • multiplication/division, addition/subtraction.

\\

<h3>The sign rules are</h3>

- ( - ) = +

+ ( + ) = +

- ( + ) = -

+ ( - ) = -

\\

<h3>Resolution </h3>

\large \sf  =  - 32  -  ( - 52)  -  (15  -  33)

\large \sf   = - 32   + 52 -  (15  -  33)

\large \sf =   - 32   + 52 -  ( - 18)

\large \sf  =  - 32   + 52  + 18

\large \sf   = - 32   + 70

\pink{ \boxed{ \large \sf   = 38}}

So, the answer correct is <u>38</u>

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Answer: range:  {0in, 16in}

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Step-by-step explanation:

When we have a function:

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In this case, our function is:

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which is a linear equation, and we know that the linear equations are defined (for range and domain) in the set of all the real numbers, but this is a physical situation, so we must see at the real problem.

The bucket can not have more water than the initial amount, 16 inches, so this is the maximum in the range.

The minimum height of water that we can find in the bucket is 0 inches (so the bucket is empty) then this is the minimum of the range.

Then we can write the range as:

R: 0in ≤ y ≤ 16in. = {0in, 16in}

Now we can find the extremes of the domain by using the extremes of the range:

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then we have x = 0min, this will be the minimum of the domain.

Now using the minimum of the range y = 0 we have:

y  = 0 = 16 - 1.25*x

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This is the maximum time in the domain (because after this time, there is no water in the bucket)

Then the domain is:

D: 0min ≤ x ≤ 12.8 min

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