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Svetlanka [38]
2 years ago
11

For what interval is the value (x-3)-(-0.5x)

Mathematics
1 answer:
beks73 [17]2 years ago
7 0

The interval is the value (-∞,2)

We have given that,

f(x)=x-3

g(x)= - 0.5x

<h3 /><h3>What interval is the value of (f-g)(x) negative?</h3>

First, calculate the (f-g)(x)

Since  f(x)=x-3

g(x)= - 0.5x

So, (f-g)(x) = x-3-(- 0.5x)

⇒(f-g)(x) = x-3+ 0.5x

⇒(f-g)(x)

=1.5x-3

Now we are supposed to find the interval for which (f-g)(x) is negative.

So, (f-g)(x) =1.5x-3 <0

⇒1.5x<3

x < \frac{3}{1.5} \\x < 2

Thus for (f-g)(x), negative x must be less than 2

Thus the interval is(-∞,2)

Hence option B is correct.

To learn more about the interval visit:

brainly.com/question/12221823

#SPJ1

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Data Presentation - Tables

Tables are a useful way to organize information using rows and columns. Tables are a versatile organization tool and can be used to communicate information on their own, or they can be used to accompany another data representation type (like a graph). Tables support a variety of parameters and can be used to keep track of frequencies, variable associations, and more.

For example, given below are the weights of 20 students in grade 10:

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39

40

41

43

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48

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54

57

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1

1

1

1

2

1

4

3

2

1

1

This table makes the data more easy to understand.

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