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kompoz [17]
3 years ago
13

Select the graph that would represent the best presentation of the solution set.

Mathematics
2 answers:
Simora [160]3 years ago
7 0

Answer:

-2 > x > 8

Step-by-step explanation:

given that,

|2 x - 6| > 10

mod means the value will be positive when mod is solved.

it can be written as

± (2 x - 6) > 10

i) (2 x - 6) > 10

      2 x > 16

        x > 8

ii) -(2 x - 6) > 10

     -2 x +6 > 10

        - x > 2

           x < -2

hence , -2 > x > 8

Shaded portion shows the required area.

Travka [436]3 years ago
3 0
|2x + 6| > 10
(2x + 6) > 10      -(2x + 6) > 10
  2x + 6 > 10        -2x - 6 > 10
<u>       - 6    - 6</u>         <u>     + 6   + 6</u>
       <u> 2x</u> > <u>4</u>                 <u>-2x</u> > <u>16</u>
        2     2                  -2     -2
        x > 2                     x > -8
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a large storage container in the shape of a rectangular prism has the dimensions of the following: length 16.5m width 18.2m heig
Zielflug [23.3K]

Answer:

3603 boxes.

Step-by-step explanation:

Rectangular Prism is actually a cuboid.

Volume of cuboid = length * width * height.

It is given that length = 16.5 m,  width = 18.2 m, and height = 12 m. Therefore:

Volume = 16.5 * 18.2 * 12 = 3603.6 cubic meters.

Volume is actually the capacity of the shape. If the box has the volume of 1 cubic meters, then the number of boxes that can fit in the rectangular prism will be:

Number of boxes to be fit = Volume of Large container/Volume of Small Container.

Number of boxes = 3603.6/1 = 3603 boxes.

Therefore, 3603 boxes will fit the rectangular prism and 0.6 cubic meters will be the spare space!!!

4 0
3 years ago
How did you apply proportional reasoning as you worked through these problems?
pogonyaev

Answer:

youll have to show the problems to get an answer!

Step-by-step explanation:

5 0
2 years ago
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The black graph is the graph of
Shtirlitz [24]

Answer:

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3 0
3 years ago
Write an equation in standard form of a line that passes through (4, 2) and is parallel to y = - 3/4 * x - 5 .
Bingel [31]

Answer:

y=2x+y-int

Step-by-step explanation:

If the line is parallet to the defined by the given equation the slope of the unknown line is m=2.

Use this value of slope to calculate the y intercept. 2  = ( 2 - y-int)/4 - 0)

THus, your equation is y = 2x + y-int

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2 years ago
(a) Use the definition to find an expression for the area under the curve y = x3 from 0 to 1 as a limit. lim n→∞ n i = 1 Correct
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r_i=\dfrac in

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\displaystyle\sum_{i=1}^n\frac{{r_i}^3}n

and taking the limit as n\to\infty gives the area exactly. We have

\displaystyle\lim_{n\to\infty}\frac1n\sum_{i=1}^n\left(\frac in\right)^3=\lim_{n\to\infty}\frac{n^2(n+1)^2}{4n^3}=\boxed{\frac14}

6 0
3 years ago
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