Choose the correct graph that illustrates the equation by clicking on the image{(x, y): -1 ≤ x ≤ 3

Mathematics

1 answer:

ololo11 [35]2 years ago

6 0

See attachment for the graph of the inequality -1 ≤ x ≤ 3

<h3>What is a linear inequality?</h3>

A linear inequality is an inequality that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

<h3>How to determine the correct graph?</h3>

In this question, the expression of the inequality is given as:

-1 ≤ x ≤ 3

The above means that the set of values of x is between -1 and 3 (-1 and 3 are inclusive of the values of x)

So, the possible values of x are -1, 0, 1, 2 and 3

When the graph of the inequality is plotted, the graph would have the following properties:

x values = -1, 0, 1, 2 and 3
Double closed circles or thick lines

Next, we plot the graph of the inequality -1 ≤ x ≤ 3

See attachment for the graph of the inequality -1 ≤ x ≤ 3

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Find the area of the figure in the image attached. Round to the nearest tenth if necessary.

ella [17]

19.8m²

Work:
First you split the shape into a rectangle and a triangle. So now you have a triangle with the sides 4 x 3.6 and a triangle with the sides 4 x 2.7.

Side note: 2.7 comes from subtracting 3.6 off of 6.3.

Rectangle:
A = lw
A = 4 (3.6)
A = 14.4m²

Triangle:
A = 1/2lw
A = 1/2 (4) (2.7)
A = 5.4m²

Then you add the areas of both the rectangle and the triangle together.

14.4 + 5.4 = 19.8m²

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3 years ago

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Elanso [62]

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<h3>How to illustrate the information?</h3>

The steps to calculate the perimeter and area of a polygon:

Step 1: Plot the given points on the graph.

Step 2: Connect the points and identify the figure.

Step 3: Determine lengths by counting the grid lines.

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Mary is x years old. How old will she be in 11 years ? How old was she 5 years ago ?

Y_Kistochka [10]

Her age after 11 years is 11x
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4 years ago

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