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professor190 [17]
3 years ago
11

Ahhhh i need help again.

Mathematics
1 answer:
qwelly [4]3 years ago
3 0

Answer:

B

Step-by-step explanation:

A. these simply to 21 + 7x and 21 + 3x

  • this one is incorrect because the 7x and 3x are different

B. these simplify to 10 + x and 10 + x

  • this is the correct one since they are exactly the same

C. these simplify to 21x and 7x + 21

  • these two are not the same because one expression has only a number with a variable but the other one has a number with a variable <em>and </em>another number

D. these simplify to  \frac{7}{3-x}  and  \frac{7}{x-3}

  • in subtraction, the order of the 3 and the x matters, so the equations are not the same
  • example: 6 - 4 = 2 but 4 - 6 = -2
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lys-0071 [83]

Answer:

|x - 5| = 2

Step-by-step explanation:

Since we are not given a zero on the number line, we do the following:

Average = midpoint between two numbers on the number line

For this number line,

Average = 3 + 7 ÷ 2

Average = 5

Next we find how many units away are each number from the middle:

3 is 2 units away from 5

7 is 2 units away from 5

Units away = 2

Let's use the formula:

|x - average| = Units away

Substitute values into equation

|x - 5| = 2

Now we solve

Solve for x over the integers:

|x - 5| = 2

Split the equation into two possible equations:

x - 5 = 2 or x - 5 = -2

Add 5 to both sides:

x = -5 + 5 = 2 + 5 or x - 5 + 5 = -2 + 5

Answer:

x = 7 or x = 3

LOOK AT THE GRAPH AND NUMBER LINE

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2 years ago
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Lyrx [107]
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