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Elena-2011 [213]
2 years ago
8

Why do some numerical expressions contain parentheses

Mathematics
1 answer:
Elden [556K]2 years ago
6 0

The most basic and common reason to use parentheses, brackets, and braces is to control the order of operations.

<h3>What are parentheses?</h3>

In mathematics, parenthesis is used to arrange numbers in the sequence of operations, clarify numbers, and denote multiplication.

Suppose you have an expression as:-

E = { ( 5-2 )8} 6

In this case, you would calculate 5 minus 2 first (parentheses), then multiply by 8 (brackets), then complete the part inside the curly braces, and finally multiply by 6.

Therefore the most basic and common reason to use parentheses, brackets, and braces is to control the order of operations.

To know more about parentheses follow

brainly.com/question/1778745

#SPJ1

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0. A submarine was at sea level and
IgorC [24]
<h3>Answer: depth is 656 feet</h3>

One equation you can use is y = -12x+752 and you plug in x = 8 to find y.

=================================================

Explanation:

x = number of minutes

y = depth of the submarine

Being at sea level means the depth is y = 0. Diving 752 ft below sea level means the depth is y = 752. It's tempting to make this negative since we're below sea level, but depth values are always positive. They are simply distances you are from the surface of the water. Negative distances are never possible. So this concept might be a bit tricky to get used to.

Possibly equally confusing is the fact that the "12 ft per minute" means the slope is -12. This is because the depth is getting smaller as the submarine gets closer to the surface (aka the sub is rising).

The equation is y = -12x+752. The equation is in the form y = mx+b with m = -12 as the slope and b = 752 as the y intercept. Note how the y intercept is the starting depth value.

From here, we plug in x = 8 to find where the sub is

y = -12x+752

y = -12*8+752

y = -96+752

y = 656

The submarine's depth after eight minutes is 656 feet

----------------------

An alternative equation to use is

y = 12x-752

which is very similar to the other one used earlier. All I did was flip the sign of each term. Now y represents the height of the sub. Negative y values indicate we're below the surface of the water. The slope being positive means the submarine is going upward. The negative y intercept indicates we're starting 752 feet below sea level. Plugging in x = 8 will lead to y = -656, which you'll need to make positive (since all depth values are positive).

As you can probably guess, the change from y = -12x+752 and y = 12x-752 is simply multiplying the right hand side by -1, which explains why the signs flip (and explains how the y value sign flips as well)

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