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Troyanec [42]
2 years ago
5

2(x-3)-8< -4 I need a explanation and the answer please.

Mathematics
1 answer:
tresset_1 [31]2 years ago
6 0

Answer:

The solution to the inequality is:

x

The number line solution graph is also attached below.

Step-by-step explanation:

Given the inequality

2(x-3)-8< -4

Add 8 to both sides

2\left(x-3\right)-8+8

2\left(x-3\right)

Divide both sides by 2

\frac{2\left(x-3\right)}{2}

x-3

Add 3 to both sides

x-3+3

x

Thus, the solution to the inequality is:

x

The number line solution graph is also attached below.

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If -7(y-3)= -14. What is the value of x?
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H(x) =2x+3 James brought a plant that was 3 inches tall. Each week the plant grew 2 inches. The function h(x) = 2x + 3 describes
telo118 [61]

Answer:

<h2>For 6 weeks, the height will be 15 inches</h2>

Step-by-step explanation:

Step one:

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Step two:

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2 years ago
Carolyn has cut a piece of ribbon 29 centimeters long from a roll. Which
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3 years ago
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Figure ABCDE has vertices a(-3, 3), b(2, 3), c(5, -2), d(0, -3), and e(-3, -2). Plot the points on your own coordinates grid and
Ilya [14]
<h2>Answer:</h2>

Shown below

<h2>Step-by-step explanation:</h2>

First of all, we have the following points:

a(-3, 3) \\ \\ b(2, 3) \\ \\ c(5, -2) \\ \\ d(0, -3) \\ \\ e(-3, -2)

To plot these points, we need to graph a coordinate grid. Recall that a coordinate grid is composed of two perpendicular lines, that we call the axes and are labeled like number lines. The horizontal axis is called the x-axis while the vertical axis is called the y-axis, and these two axes intersect at a point called the origin. Next, let's plot each point as follows:

<h2>PART 1. Plot the points on your own coordinates grid and connect in alphabetical order. </h2><h2></h2>

Point a:

Let's stand at the origin and then move three units to the left and three units up. The resulting point is shown in the firs figure below.

Point b:

Let's stand at the origin and then move two units to the right and three units up. The resulting point is shown in the firs figure below.

Point c:

Let's stand at the origin and then move five units to the right and two units down. The resulting point is shown in the firs figure below.

Point d:

Let's stand at the origin and then move three units to down. The resulting point is shown in the firs figure below.

Point e:

Let's stand at the origin and then move three units to the left and two units down. The resulting point is shown in the firs figure below.

Next, let's connect connect the points in alphabetical order, so that the line are connected from a to b, from b to c, from c to d, from d to e and from e to a again. So the resulting graph is shown in the second figure. As you can see, this is an irregular pentagon.

<h2>PART 2. Decompose figure ABCDE into rectangles and triangles.</h2>

Every pentagon can be divided up into three triangles. Hence, from the third figure. the triangles are:

ΔABE

ΔBDE

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Since a rectangle is a quadrilateral whose angles are all right angles, then there is no chance to obtain a rectangle from ABCDE. To obtain a rectangle, we'd need other points and this is not what the problem asks.

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3 years ago
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