Which values of x satisfy the inequality 0.5 x minus 0.75 greater-than-or-equal-to 3.25?

Mathematics

1 answer:

mr_godi [17]2 years ago

5 0

Answer:

x ≥8

Step-by-step explanation:

Given inequality

0.5x - 0.75 ≥ 3.25

Adding 0.75 to both sides

0.5x -0.75 +0.75 ≥ 3.25 + 0.75

0.5x ≥ 4

Divide both sides by 0.5

(0.5x) / (0.5) ≥ (4) /(0.5)

x ≥ 8

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Add the following polynomials, then place the answer in the proper location on the grid. Write answer in descending powers of x.

CaHeK987 [17]

Answer:

$-x^5+3x^4+16x^3+7x^2-3x+6$

Step-by-step explanation:

Given polynomials are:

$x^5-4x^4+7x^3+8$ , $9x^3+7x^2-10$ and $-2x^5+7x^4-3x+8$

Now we need to add the given polynomials, then place the answer in the proper location on the grid. Also we need to write answer in descending powers of x.

So let's add them by combining like terms:

$x^5-4x^4+7x^3+8+9x^3+7x^2-10-2x^5+7x^4-3x+8$

$-x^5+3x^4+16x^3+7x^2-3x+6$

Hence final answer in descending order is $-x^5+3x^4+16x^3+7x^2-3x+6$

6 0

2 years ago

The production manager is going to present this information to the company's board of directors. Which graph should the manager

viktelen [127]

To best emphasize the number of defects. Manager should use graph 3 (refer the image shown):

If we talk about graph 1, it can also be used but usually we put the time line on the horizontal axis, for the convenience and the quantity to be measured on the y-axis. In the graph 1, the time is placed on the vertical axis (x-axis) so it would not be a good pick for the manager.

Same is the case with graph 2 again we have time on the vertical axis. So it is not a good idea to with graph 2.

Graph 3 could be the best to emphasize the number of defects because first of all time is placed on the horizontal axis and the quantity to be shown is on the vertical axis. Secondly, the range of the vertical axis is less so it is easy to observe the data set on the graph quite distinctively. Therefore, graph 3 is the best pick.

Graph 4 is placed correctly in terms of vertical and horizontal axes but the range of vertical axis is quite high due to which the dispersion or the display of the data is quite compressed and it gets hard to visualize.