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tensa zangetsu [6.8K]
2 years ago
15

Graph the set {x|x≤-5} on the number line. Then, write the set using interval notation.

Mathematics
1 answer:
GaryK [48]2 years ago
3 0

The interval notation that defines this set is: (-∞, -5]

And the graph can be seen below.

<h3 /><h3>How to graph the inequality?</h3>

Here we want to graph the inequality:

x ≤ -5

This refers to all the values of x equal or smaller than -5.

To graph this, we need to graph a closed circle at -5, and we need to draw an arrow that points to the left (values smaller than -5). The graph is the one that you can see below.

The interval notation that defines this set is: (-∞, -5]

The first end is open, and the second is closed (because of the symbol ≤).

If you want to learn more about inequalities:

brainly.com/question/18881247

#SPJ1

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y= (-7/16)

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The length of a rectangle is six times its width. If the area of the rectangle is 384^2, find its perimeter.
Leno4ka [110]

Answer:

Perimeter, P = 112 meters

Step-by-step explanation:

  • Let the length of the rectangle be L.
  • Let the width of the rectangle be W.

Translating the word problem into an algebraic expression, we have;

L = 6W  ...... equation 1

<u>Given the following data;</u>

  • Area of rectangle = 384 m²

To find the perimeter of the rectangle;

First of all, we would determine the dimensions of the rectangle using its area.

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = LW  ..... equation 2

Substituting eqn 1 into eqn 2, we have;

384 = 6W(W)

384 = 6W²

Dividing both sides by 6, we have;

W² = 384/6

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Taking the square root of both sides, we have;

W = √64

Width, W = 8 meters

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L = 6W

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Length, L = 48 meters

Lastly, we would determine the perimeter of the rectangle using the above dimensions;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Substituting the values into the formula, we have;

Perimeter, P = 2(48 + 8)

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<em>Perimeter, P = 112 meters</em>

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