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sergeinik [125]
4 years ago
6

What is the solution to the inequality |X-4 <3?

Mathematics
1 answer:
e-lub [12.9K]4 years ago
5 0

Answer:

|X - 4| < 3 is equivalent to 1 < X < 7.

Step-by-step explanation:

Given

|X - 4| < 3

Required

Solution of the inequality

The options are not properly presented. However, I'll solve the question without considering the options.

To simplify the given inequality, it's worth knowing that the absolute function of any inequality returns the positive form of any value it takes (whether negative or positive).

Since, we've understood that the absolute can take negative of positive, the above inequality can take the following form

-3 < X - 4 < 3

Add 4 through

4 - 3 < X - 4 + 4 < 3 + 4

1 < X < 7.

Hence, |X - 4| < 3 is equivalent to 1 < X < 7.

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Considering the given data-set, we have that:

  • The lowest batting average is of 0.254.
  • On the histogram, 5 values would fall into the class 0.251 - 0.280.

<h3>What is an histogram?</h3>

An histogram is a graph that shows the number of times each element of x was observed, or the number of elements x in a range of values, as is used for this problem.

For the given 20 batting averages given in the table, we have that:

  • Looking at all of them, the lowest value of the table is of 0.254, hence the lowest batting average is of 0.254.
  • The measures in the table between 0.251 and 0.28 are: 0.277, 0.265, 0.267, 0.259, 0.254. Hence, this means that on the histogram, 5 values would fall into the class 0.251 - 0.280.

More can be learned about histograms at brainly.com/question/28164315

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1 year ago
Simplify: <br><br> 2/3x - 3y + 1/3x + 2y
katovenus [111]

\text {Hi! Let's Solve this Equation!}

\text {To Simplify x in this equation we add the problems that have x in it.}

\text {Add:}

\text {2/3x+1/3x=1x=x}

\text {To Simplify y in this equation we add the problems that have y in it.}

\text {Subtract:}

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\text {Your Answer would be:}

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3 years ago
Multiply.<br> 12x^4 (-5/6x^3y^2)
Darya [45]

Answer:

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Step-by-step explanation:

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Next multiply x^{4} by x^{3} , solving this you get x^{7}

Finally you have y^{2}, and nothing to multiply it by. So it stays as y^{2}

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3 years ago
1. A hammock is suspended between two trees. The curve the hammock makes can be modelled by the equation, y = 0.2x2 – 0.4x – 0.6
Rina8888 [55]

Answer:

Step-by-step explanation:

Given that:

The modeled equation y = 0.2x² - 0.4x - 0.6

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