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Airida [17]
3 years ago
11

Solve for |2x + 4|-1=7

Mathematics
1 answer:
Rudik [331]3 years ago
6 0

Answer:

x = - 6 or x = 2

Step-by-step explanation:

The absolute value function always returns a positive value. However, the expression inside can be positive or negative.

Given

| 2x + 4 | - 1 = 7 ( add 1 to both sides )

| 2x + 4 | = 8, thus

2x + 4 = 8 ( subtract 4 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

OR

-(2x + 4) = 8

- 2x - 4 = 8 ( add 4 to both sides )

- 2x = 12 ( divide both sides by - 2 )

x = - 6

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True

x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True

Hence the solutions are x = - 6 or x = 2

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X=-1

Step-by-step explanation:

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Answer:

a. $10,943.30

b. $1,267.35

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P = $9,675.95

r = 6.25% = 0.0625

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A = $9,675.95 [1 + 0.03125]⁴

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8 0
3 years ago
Find the additive inverse or opposite of -4/3
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3 years ago
a scalene triangle has an area of 20.335 square centimeters. the height of the triangle is 8.3 centimeters. what is the length o
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