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Naddik [55]
3 years ago
8

What is the solution of (x+4 over 2x-1)<0

Mathematics
2 answers:
inn [45]3 years ago
7 0

Answer:

(x + 4)/(2x - 1) < 0 => x + 4 < 0 => x > -4

2x - 1 ≠ 0 => x ≠ 1/2

(-4 , 1/2) U (1/2 , ∞)

Step-by-step explanation:

Nina [5.8K]3 years ago
5 0

Answer:

x < 5

Step-by-step explanation:

Given that:

(x+4 over 2x-1)<0

It can be written as:

x + 4/2x-1 <0

Multiplying both sides by 2x -1

x+ 4 < 2x -1

By simplifying:

Take terms with x on left side and constants on right side:

x - 2x < -1 - 4

- x < -5

"-" sign will be cancelled from both sides

x < 5

i hope it will help You!

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Answer:

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The table represents the change in the boiling point of water at different altitudes. Altitude (in thousands of feet) Boiling Po
Anton [14]
Answers:

1) The dependent variable is the boiling point of water and the independent variable is the altitude.

2) The slope would represent the average decrease of the boiling point of water per every one thousand feet that the altitude increase.

Explanation:

1) given

Table:

<span>Altitude (in thousands of feet)    Boiling Point of Water (Fahrenheit)

(sea level) 0                                212
0.5                                               211.1
1.0                                               210
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2) The independent variable is the input of the function, and the dependent variable is the output of the function.

The input determines the output once the rule is established.

Therefore:

a) the independent variable is the altitude, and
b) the dependent variable is the boiling point of water in Farenheit.

3) The slope of the graph would be:

                 change in the dependent variable          change in boiling point
slope = --------------------------------------------------- =  ---------------------------------
</span>                 change in the independent variable          change in altitude

Therefore, the slope represents the average change in the boiling boilin point of water every one thousand feet on change of altitude.

If the relationship is not linear, then the slope is not constant, and you will have different slopes for different parts.

If the slope is negative, means that as the altitude increase the boiling point of water decrease.

You can calculate the slope using any two pair of points (data)

              212 - 210           2
slope =---------------- =   ------- = - 2
                0 - 1            - 1

or, using other pair of points:

                204.8 - 210           -5.2             
slope = --------------------- =   --------- = -2.6
                  4.0 - 2.0               2.0

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