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kirza4 [7]
3 years ago
12

What is the simplest form of the expression (14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)?

Mathematics
2 answers:
makvit [3.9K]3 years ago
5 0

The first; 10.7a-8.1b

frosja888 [35]3 years ago
4 0

Answer:

10.7a - 8.1b

Step-by-step explanation:

the simplest form of the expression (14.2a + 9.8b) - (13.1b - 0.2a) - (3.7a + 4.8b)

(14.2a + 9.8b) - (13.1b - 0.2a)- (3.7a + 4.8b)

To subtract the expressions we multiply negative sign inside the second parenthesis, change the sign of each term in second and third parenthesis

14.2a + 9.8b - 13.1b + 0.2a-3.7a-4.8b

Now we combine like terms

14.2a +0.2a-3.7a = 10.7a

9.8b - 13.1b-4.8b=-8.1b

So the expression becomes

10.7a - 8.1b

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Answer:

  a. 3/4 inches per minute

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Step-by-step explanation:

A <em>change</em> is a <em>difference</em>. A <em>rate of change</em> is <em>one difference divided by another</em>, usually the change in y-value divided by the change in x-value.

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<h3>a.</h3>

The change in elevation is the difference between the elevation at the end of the period (6 inches) and the elevation at the beginning of the period (3 inches). The change in time period is the difference between the end time (8 min) and the beginning time (4 min).

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<h3>b.</h3>

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<h3>c.</h3>

We know that 3/4 is more than -1 1/8, but when we talk about the "fastest rate of change", we're generally interested in the magnitude--the value without the sign. That means we understand a rate of change of -1 1/8 inches per minute to be "faster" than a rate of change of 3/4 inches per minute.

The rate of change from Part B is fastest. 1 1/8 inches per minute is more than 3/4 inches per minute.

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