Question

|16x-2| |13x-26| |10x-100| |17x-12.7|

Answer 1

Ответ:

Пошаговое объяснение:

Если надо решить эти уравнения, то вот:

1) 16х-2=0

x=2/16=1/8

2) 13x-26=0

13x=26

x=26/13=2

3) 10x-100=0

10x=100

x=100/10=10

4) 17x-12,7=0

17x=12,7

x=12,7/17=127/10:170/10=127/170

Answer 2

It looks like you have a mathematical expression involving absolute values of various linear expressions. To simplify this expression, you can break it down step by step:

1. Start by simplifying each absolute value expression separately.

   |16x - 2| = 16x - 2 if (16x - 2) ≥ 0 = -(16x - 2) if (16x - 2) < 0

   |13x - 26| = 13x - 26 if (13x - 26) ≥ 0 = -(13x - 26) if (13x - 26) < 0

   |10x - 100| = 10x - 100 if (10x - 100) ≥ 0 = -(10x - 100) if (10x - 100) < 0

   |17x - 12.7| = 17x - 12.7 if (17x - 12.7) ≥ 0 = -(17x - 12.7) if (17x - 12.7) < 0

2. Now, we need to determine the intervals where each of these expressions is non-negative and non-positive. To do this, we'll solve the inequalities for each one:

   For |16x - 2|: 16x - 2 ≥ 0 16x ≥ 2 x ≥ 2/16 x ≥ 1/8

   For |13x - 26|: 13x - 26 ≥ 0 13x ≥ 26 x ≥ 26/13 x ≥ 2

   For |10x - 100|: 10x - 100 ≥ 0 10x ≥ 100 x ≥ 10

   For |17x - 12.7|: 17x - 12.7 ≥ 0 17x ≥ 12.7 x ≥ 12.7/17 x ≥ 0.747

3. Now that we know the intervals where each expression is non-negative, we can evaluate the expressions within those intervals:

   • For x ≥ 10: |10x - 100| = 10x - 100

   • For x ≥ 2 and x < 10: |10x - 100| = -(10x - 100) = 100 - 10x

   • For x ≥ 1/8 and x < 2: |16x - 2| = 16x - 2 |13x - 26| = 13x - 26

   • For x < 1/8: |16x - 2| = -(16x - 2) = 2 - 16x |13x - 26| = -(13x - 26) = 26 - 13x

   • For x ≥ 0.747 and x < 1/8: |16x - 2| = 16x - 2 |13x - 26| = 13x - 26 |17x - 12.7| = 17x - 12.7

So, your simplified expression will depend on the value of x within different intervals:

• For x ≥ 10: 10x - 100

• For 2 ≤ x < 10: 100 - 10x

• For 1/8 ≤ x < 2: 16x - 2 and 13x - 26

• For x < 1/8: 2 - 16x and 26 - 13x

• For x ≥ 0.747 and x < 1/8: 16x - 2, 13x - 26, and 17x - 12.7