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schepotkina [342]
1 year ago
12

OMG PLS HELP ME!!!!!! I NEED THIS ASAP!!! 100 PTS!!!!!!! (its in the pic)

Mathematics
1 answer:
Rainbow [258]1 year ago
5 0

By algebra properties we find the following relationships between each pair of algebraic expressions:

  1. First equation: Case 4
  2. Second equation: Case 1
  3. Third equation: Case 2
  4. Fourth equation: Case 5
  5. Fifth equation: Case 3

<h3>How to determine pairs of equivalent equations</h3>

In this we must determine the equivalent algebraic expression related to given expressions, this can be done by applying algebra properties on equations from the second column until equivalent expression is found. Now we proceed to find for each case:

First equation

(7 - 2 · x) + (3 · x - 11)

(7 - 11) + (- 2 · x + 3 · x)

- 4 + (- 2 + 3) · x

- 4 + (1) · x

- 4 + (5 - 4) · x

- 4 - 4 · x + 5 · x

- 4 · (x + 1) + 5 · x → Case 4

Second equation

- 7 + 6 · x - 4 · x + 3

(6 · x - 4 · x) + (- 7 + 3)

(6 - 4) · x - 4

2 · x - 4

2 · (x - 2) → Case 1

Third equation

9 · x - 2 · (3 · x - 3)

9 · x - 6 · x + 6

3 · x + 6

(2 + 1) · x + (14 - 8)

[1 - (- 2)] · x + (14 - 8)

(x + 14) - (8 - 2 · x) → Case 2

Fourth equation

- 3 · x + 6 + 4 · x

x + 6

(5 - 4) · x + (7 - 1)

(7 + 5 · x) + (- 4 · x - 1) → Case 5

Fifth equation

- 2 · x + 9 + 5 · x  + 6

3 · x + 15

3 · (x + 5) → Case 3

To learn more on algebraic equations: brainly.com/question/24875240

#SPJ1

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your answer is -1/100 (a fraction)

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Store a sells 12 juice bottles for 4 and stor b sells 18 bottles for 6 dollars are they equivalent
patriot [66]

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Yes

Step-by-step explanation:

They are equivalent because they both have the GCF of 3.                                             3x4=12                            3x6=18


Hope it helps!

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3 years ago
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Which linear inequality is represented by the graph?
Ksju [112]

Tthe inequality that describes this graph is y ≤ 1/3x - 4/3

<h3>How to determine the linear inequality represented by the graph?</h3>

The graph that completes the question is added as an attachment

From the attached graph, we have the following points

(0, -1.3) and (3, -0.3)

The slope is calculated as:

m = (y2 - y1)/(x2 - x1)

Substitute the known values in the above equation

m = (-0.3 + 1.3)/(3 - 0)

Evaluate

m = 1/3

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 1/3(x - 0) - 1.3

Evaluate

y = 1/3x - 4/3

From the graph, we have the following highlights:

  • The line of the graph is a closed line
  • The upper part is shaded

The first highlight above implies, the inequality can be any of ≥ and ≤

While the second highlight above implies, the inequality is ≤

Hence, the inequality that describes this graph is y ≤ 1/3x - 4/3

Read more about inequality at

brainly.com/question/24372553

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3 0
1 year ago
The sum of the first 130 positive even integers
Triss [41]

Answer:

Step-by-step explanation:

Positive integers are of the form 2n

The first term is 2 and the 130th term is 2(130)=260

The sum of this arithmetic sequence is the average of first and last terms times the number of terms

(2+260)(130/2)

17030

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