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Natasha2012 [34]
3 years ago
15

Which graph represents the solution set of the compound inequality Negative 4 less-than-or-equal-to 3x minus 1 and 2 x + 4 less-

than-or-equal-to 18?

Mathematics
1 answer:
Elden [556K]3 years ago
6 0

Answer:

a) First graph

 The solution of the given inequalities -1 ≤ x ≤ 7

Step-by-step explanation

Given two inequalities

                             - 4 ≤ 3 x -1 ...(i)

                           2 x +4 ≤ 18 ...(ii)

From(i)

                        - 4 ≤ 3 x -1

Adding '1' on both sides , we get

                   - 4 + 1 ≤ 3 x - 1 +1

                  - 3 ≤ 3 x

Dividing '3' on both sides , we get

                 -1 ≤ x   ...(a)

From (ii)

                    2 x +4 ≤ 18

subtracting  '4' on both sides , we get

                  2 x + 4 - 4 ≤ 18 -4

                                2 x ≤ 14

dividing '2' on both sides, we get

                                 x ≤ 7 ..(b)

Now the solution of two inequalities From(a) and (b)

                             -1 ≤ x ≤ 7

<u>Final answer</u>:-

The graph of the two inequalities is first graph

                             

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Given that the points (-1,6). (3,6), (3, 1), and (-1, 1) are vertices of a rectangle, how much shorter is the width than the len
Ksju [112]
Since the given coordinates are already in order,
then and two consecutive distances between the coordinates will give length and breadth,

Using distance formula,
\sqrt{ {( - 1 - 3)}^{2}  +  {(6 - 6)}^{2} }  \\  =  \sqrt{ { (- 4)}^{2} }  \\  =  \sqrt{16 }  \\  = 4
(we'll not consider the negative value since distances can't be negative)

Applying this again on 2nd and 3rd coordinates,
\sqrt{ {(3 - 3)}^{2} +  {(6 - 1)}^{2}  }  \\  =  \sqrt{ {5}^{2} }  \\  = 5
(we'll not consider the negative value since distances can't be negative)

Since length's always gotta be greater than bredth
therefore,
the difference will be 5-4= 1 units


Hence width is 1 unit shorter than length.



Note: Unit used is "unit/s"
6 0
3 years ago
Help with 23 please?
IgorC [24]

<em>The answer to your problem is:</em>

x = 1/6

7 0
3 years ago
Just curious, I want to see who can get this. tooooootttalllllly know it already
Aneli [31]

Answer:

yea that makes sense

It literally tells you how to do it

Is it some kind of proof tho? Like the math makes sense but like I've never heard of this thing.

3 0
3 years ago
I really need help here !!:c
shepuryov [24]

Answer: 5.6^{3}+0.6^{2}+2.^{1}+4.6^{0}

which will be 1096 in base 10

Step-by-step explanation:

5024_{six} in expanded form to base 10 will be :

5.6^{3}+0.6^{2}+2.^{1}+4.6^{0}

which will be

5(216)+0(36)+2(6)+4(1)

⇒1080+0+12+4

= 1096

7 0
3 years ago
Can anyone explain how this is done.
Softa [21]

Answer:

The answer is C. How many 3/4 -pound molds are in 1/3 pound of sand?

7 0
2 years ago
Read 2 more answers
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