Find and simplify the quotient 2/3 divided by 8/9

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

8 0

The answer is 3/4 and it was already simplified

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Which function family are these 3? thanks..

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Answer:

1) Function; Linear Function (y=x)

2) Function; Exponential Function (y=bˣ)

3) Not a function.

Step-by-step explanation:

So, let's go through each table of values. I'm also going to graph them (see attached graphs) because it will make things simpler and provide a visual.

First, also recall what the definition of a function is. A function is a function if and only if an x only has one distinct y-value. No x can have two or more y-values. For instance, (1,2) and (1,3) is not a function between the x repeats. So, let's go through the choices:

We have the table as shown. Let's plot the points. See TABLE 1:

First, there are no repeating x-values, so we can be sure that this is indeed a function.

Looking at the graph, we can see that this resembles a linear graph. So, the parent function of this is a line.

The parent function of a line is:

$y=x$

So, table 1 is associated with a linear function.

Let's again plot the points. See TABLE 2.

Again, there are no repeating x-values, so this is also a function.

Looking at the graph, this resembles an exponential function. The function increases slowly at first but starts increasing increasingly fast. The parent function is thus an exponential function.

So, table 2 is associated with an exponential function.

First, notice how all the x-coordinates are repeating. And since they do not equal the same thing, this is not a function.

Table 3 is not a function and so has no corresponding family function.