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Anton [14]
3 years ago
9

How do I Express the inequality x < 7 using interval notation.

Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

Answer:  (-\infty, 7)

You can write this as (-infinity, 7) if you aren't able to use the infinity symbol.

====================================================

Explanation:

Think of x < 7 as writing -\infty < x < 7

So x is between negative infinity and 7, excluding both endpoints.

To write -\infty < x < 7 in interval notation, we write (-\infty, 7)

The curved parenthesis tell us to exclude the endpoint.

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What is the slope of the line represented by the equation y = 4/5x -3?
ankoles [38]

Answer:

4/5

Step-by-step explanation:

Slope

    Slope y-intercept of a line: y = mx + b

Where m is the slope and b is the y-intercept.

 \sf y =\dfrac{4}{5}x-3\\\\\boxed{Slope = \dfrac{4}{5}}

7 0
2 years ago
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Someone please help me out I rlly need help
Anit [1.1K]

The equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.

According to the question,

We have the following information:

We have two lines that are intersecting each other at a point. The angles made on this point are given.

Now, we know that these two angles are vertically opposite angles. And we also know that vertically opposite angles are equal.

So, we will have the following equation:

3x-1 = 140

Now, we can easily find the value of x from this equation:

Adding 1 on both sides of the equation:

3x = 140+1

3x = 141

Dividing by 3 on both sides:

x = 141/3

x = 47°

Hence, the equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.

To know more about equation here

brainly.com/question/18067015

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5 0
1 year ago
Factor 7(x − 3)2 − 4(x − 3) − 3 completely.
Nezavi [6.7K]
7(x-3)^2-4(x-3)-3\\\\substitute\ t=x-3,\ then\ we\ have\\\\7t^2-4t-3\\\\a=7;\ b=-4;\ c=-3\\\\\Delta=b^2-4ac\\\\\Delta=(-4)^2-4\cdot7\cdot(-3)=16+84=100\\\\t_1=\dfrac{-b-\sqrt\Delta}{2a};\ t_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\t_1=\dfrac{-(-4)-10}{2\cdot7}=\dfrac{4-10}{14}=\dfrac{-6}{14}=-\dfrac{3}{7}\\\\t_2=\dfrac{-(-4)+10}{2\cdot7}=\dfrac{4+10}{14}=\dfrac{14}{14}=1\\\\7t^2-4t-3=7\left(t+\dfrac{3}{7}\right)(t-1)=(7t+3)(t-1)\\\\=(7(x-3)+3)(x-3-1)=(7x-21+3)(x-4)\\\\=\boxed{(7x-18)(x-4)}
7 0
3 years ago
Order from least to greatest <br> 5/6, 7/12, 3/4
Lynna [10]

Answer:

7/12 , 3/4 , 5/6

Step-by-step explanation:

hope this helps :)

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Simplify the following expression:<br><br> -3(x+6)+8x<br> 3x-25<br> 5x-22<br> -11+3x<br> 5x-18
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Answer:

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<h2>I hope this helped! </h2><h3>have a nice day! :)</h3>
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