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Shtirlitz [24]
2 years ago
5

The graphs of two rational functions of f and g are shown. One of them is given by the expression 2-3x/x. Which graph is it? Tha

nks will mark brainliest

Mathematics
1 answer:
Nesterboy [21]2 years ago
8 0

Answer:

It's the left graph, y = f(x)

Step-by-step explanation:

If you find the x-intercepts, you'd solve (2-3x)/x = 0. This means you'd really solve 2-3x=0, which gives you x=3/2.

So the graph must have an x-intercept at (1.5, 0). Only f(x) has that.

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Please help!!!!! <br> Which defines the piecewise function shown?
denis-greek [22]
<h2>Hello!</h2>

The answer is:

The second piecewise function,

f(x)=\left \{ {{-x-2,x

<h2>Why?</h2>

To answer the question, we need to find which piecewise function contains the graphs shown in the picture, we have that first line shown, is decreasing and exists from the negative numbers to 0,  and the line cuts the x-axis and the y-axis at "-2", for the second line shown,  we have that is decreasing but exists from 0 (including it) to the the positive numbers.

So, finding which piecewise satisfies the function shown, we have:

- First piecewise function:

f(x)=\left \{ {{-x-2,x

First line,

We have the first line,

-x-2

The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exists from all the numbers less than 0, to 0, and it cuts the x-axis at -2 and the y-axis at -2.

Second line,

\frac{x}{2}\geq 0

The variable has positive coefficient, meaning that the function (line) is increasing.

Hence, since the second line is not decreasing, the piecewise function is not the piecewise function shown in the picture.

- Second piecewise function,

f(x)=\left \{ {{-x-2,x

First line,

We have the first line,

-x-2

The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exist from all the numbers less than 0, to 0.

Second line,

-\frac{x}{2}\geq 0

The variable has a negative coefficient ((-\frac{1}{2}), meaning the the unction (line) is decreasing, also we can see that the function does exists from 0 (including it) to the positive numbers.

Hence, we have that the correct option is the second piecewise function,

f(x)=\left \{ {{-x-2,x

Note: I have attached a picture for better understanding.

Have a nice day!

3 0
3 years ago
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Need help for 12 please​
igomit [66]

Ummmm where is it? I dont see 12

8 0
2 years ago
What is Pythagorean triples​
Georgia [21]

A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.
7 0
2 years ago
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What is 5x5x5x5 plz tell me
Llana [10]
5 times 5 times 5 times 5 is 20

So just count by 5

Hope this help
6 0
2 years ago
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An isosceles triangle has base angles that each measure 42 degrees.Which equation can be used to find z, the measure of the thir
gavmur [86]

Answer:

z+42+42=180

Step-by-step explanation:

Since it is an isosceles triangle, the two base angles are the same and remember all the angles add to  180. So use this equation:

z+42+42=180

If you need to find z, it is 96.

Check: 96+42+42=180

3 0
3 years ago
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