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QveST [7]
3 years ago
7

Answer both these questions and ill give the best answer brainliest

Mathematics
1 answer:
likoan [24]3 years ago
3 0

Answer:

Page 1:

A. exactly one solution

B. infinite many solutions

C. no solution

Page 2:

x = 3

Step-by-step explanation:

Page 1:

A. 3(x - 3) = 10x + 2

3x - 9 = 10x + 2

3x - 9 - 3x = -9

10x + 2 - 2 = 10x

-9 + 2 = -7

10x + 3x = 13x

-7 = 13x

13x / 13 = x

-7 / 13 = -7/13

B. -9x + 3 = -3(3x - 1)

-9x + 3 = -9x + 3

no matter what you'll end up with this

C. 2(3x - 1) = 6x - 1

6x - 2 = 6x - 1

there's no way to solve it :/

Page 2:

2/3x - 3 = 5

2/3x - 3 + 3 = 2/3x

5 - 3 = 2

2/3x = 2

2/3x / 2/3 = x

2 / 2/3 = 3

x = 3

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Answer:

Step-by-step explanation:

x - 3y

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Answer:

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6 0
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What can be concluded about the line represented in the table? Check all that apply. x y –6 –7 2 –3 8 0 The slope is 2. The slop
Stels [109]
The first thing we must do for this case is to find the equation of the line.
 y-yo = m (x-xo)

 We have then:
 m = (y2 - y1) / (x2-x1)

m = (-3 - 0) / (2-8)

m = 1/2
 We choose an ordered pair:
 (xo, yo) = (8, 0)

 Substituting values:
 y-0 = (1/2) (x-8)

y = (1/2) x - 4
 
 From here we conclude:

 Intersection with y:
 
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 y = (1/2) (0) - 4

y = -4

 Slope of the line:
 m = 1/2


 Point (-2, -5):
 
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-5 = -1 - 4

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 Point (8, 0):
 
It is part of the table, therefore belongs to the line.

 Answer:
 
The slope is 1/2
 
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7 0
3 years ago
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The percentage of cotton in material used to manufacture men's shirts follows.
velikii [3]

Answer:

Median = 34.55

Quartiles:

Q1 = 33.1

Q2 = 34.55

Q3 = 35.6

Inter Quartile range = 2.5

Step-by-step explanation:

Step 1

We arrange the given the following data from lowest to the highest

32.0, 32.1, 32.1, 32.2, 32.4, 32.5, 32.5, 32.5, 32.8, 32.8, 32.8, 32.8, 32.9, 32.9, 33.0, 33.0, 33.2, 33.2, 33.2, 33.2, 33.5, 33.6, 33.8, 33.8, 33.9, 34.0, 34.0, 34.1, 34.1, 34.3, 34.4, 34.5, 34.6, 34.6, 34.6, 34.7, 34.7, 35.0, 35.0, 35.1, 35.1, 35.2, 35.4, 35.5, 35.5, 35.5, 35.5, 35.6, 35.6, 36.1, 36.3, 36.4, 36.4, 36.4, 36.5, 36.6, 36.7, 36.7, 37.0, 37.1, 37.4, 37.4, 37.6, 37.8

a. Construct a stem-and-leaf display for the data.

Stem and leaf Display

Stem | Leaf

32 | 0,1,1,2,4,5,5,5,8,8,8,8,9,9

33 | 0,0,2,2,2,2,5,6,8,8,9

34 | 0,0,1,1,3,4,5,6,6,6,7,7

35 | 0,0,1,1,2,4,5,5,5,5,6,6,

36 | 1,3,4,4,4,5,6,7,7,

37 | 0,1,4,4,6,8

b. Calculate the median and quartiles of these data.

Number of terms = 64

1) Median = 1/2(n + 1)th value

n = 64

= 1/2(64 + 1)th

= 1/2(65)th

= 32.5 th value

This means it is between the 32nd and 33rd value

32nd = 34.5

33rd = 34.6

= 34.5 + 34.6/2

= 69.1/2

= 34.55

2) First Quartile

1/4(n + 1)th value

n = 64

= 1/4(64 + 1)th

= 1/4(65)th

= 16.5th value

This means it is between the 16th and 17th value

16th value = 33.0

17tj value = 33.2

= 33.0 + 33.2/2

= 66.2/2

= 34.55

Q1 --> 33.1

3)Second Quartile = Median

1/2(n + 1)th value

n = 64

= 1/2(64 + 1)th

= 1/2(65)th

= 32.5 th value

This means it is between the 32nd and 33rd value

32nd = 34.5

33rd = 34.6

= 34.5 + 34.6/2

= 69.1/2

= 34.55

Q2 --> 34.55

Third Quartile

3/4(n + 1)th value

n = 64

= 3/4(64 + 1)th

= 3/4(65)th

= 48.75 th value

This means it is towards the 49th value

32nd = 34.5

Hence,

Q3 --> 35.6

Inter Quartile range

Q3 - Q1

= 35.6 - 33.1

= 2.5

8 0
4 years ago
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