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AfilCa [17]
3 years ago
12

|2x-8| + 3 = 5 two solutions

Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

Answer:

The two solutions are 5 and 3

Step-by-step explanation:

The equation of the absolute has two solutions because IxI = a means x = a and x = -a

Let us solve the question using this fact

∵ I2x - 8I + 3 = 5

→ Subtract 3 from both sides

∴ I2x - 8I + 3 - 5 = 5 - 3

∴ I2x - 8I = 2

By using the fact above

→ 1st solution

∵ 2x - 8 = 2

→ Add 8 to both sides

∴ 2x - 8 + 8 = 2 + 8

∴ 2x = 10

→ Divide both sides by 2 to find x

∴ x = 5

→ 2nd solution

∵ 2x - 8 = -2

→ Add 8 to both sides

∴ 2x - 8 + 8 = -2 + 8

∴ 2x = 6

→ Divide both sides by 2 to find x

∴ x = 3

∴ The two solutions are 5 and 3

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A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 5) and (4, 10).
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Answer:

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Step-by-step explanation:

We can deduce the rate of change by obtaining the slope or gradient of thw points given :

Gradient = Rise / Run.

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Rise = y2 - y1 = 10 - 5 = 5

Run = x2 - x1 = 4 - 2 = 2

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Answer:

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Step-by-step explanation:

7 0
3 years ago
How and what is this
yan [13]

number 1 GCF=3 LCM=84

number 2 GCF=10 LCM=30

number 3 GCF=8 LCM=80

number 4 GCF=4 LCF=36

number 5 GCF= 1 LCF=378

number 6 GCF=2 LCM=238

number 7 GCF=1 LCM=280

number 8 GCF=10 LCM=20

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