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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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irina1246 [14]

Answer:

12) A ( 9, 11, 13, 15)

13) A ( o , a)

14) A  (b ∈ ( a, b, c, d, e, f))

15) C ( -364)

16) D (-1°C)

17) B (Negative)

18) C (26 feet)

19) B (7)

Step-by-step explanation:

12) All of these are odd numbers greater than 7

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14) Point B cannot belong in a set that already has B

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16) 4 - 5 = -1

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18) -20 + 12 - 18 = -26

19) 3(5) + 4(-2) = 15 - 8 = 7

-Chetan K

8 0
2 years ago
Which fraction is equivalent to 38%?<br> 3/8<br> 9/25<br> 19/50<br> 3 4\5
KonstantinChe [14]
In order to find a fraction, We know that a percentage is out of a 100. This means we can now place our fraction as:

38/100

In order to find the actual fraction, we will want to simplify. Lets find our least common factor and work down from there. Since we know that 2 can go into both of them, lets reduce by 2.

This means our fraction will now look like: 

19/50

Since 19 is a prime number and cannot be divided by anything but 1 and itself, we know that this is our simplified form. 

This means:

19/50 is the fraction equivalent to 38%. 
5 0
3 years ago
Read 2 more answers
Which problem situation matches the equation? -2 + 5 – 6 = X
mezya [45]
The answer is -9 for sure
8 0
3 years ago
The cost of 3 markers and 2 pencils is $1.80. The cost of 4 markers and 6 pencils is $2.90. What is the cost of each item? Inclu
RideAnS [48]
Let M = marker cost
Let P = pencil cost

3 markers and 2 pencils cost 1.80 ==> 3M + 2P = 1.80

4 markers and 6 pencils cost 2.90 ==> 4M + 6P = 2.90

Multiply the first equation by (-3) and add it to the second equation

-9M - 6P = -5.40
4M + 6P = 2.90

-5M = -2.50
M = 0.50

Plug this value for M into the 1st equation and solve for P

3*(0.50) + 2P = 1.80
1.50 + 2P = 1.80
2P = 0.30
P = 0.15

So a marker costs 50 cents and a pencil costs 15 cents
7 0
3 years ago
The dot plot shows the number of miles Jamal biked per week for ten weeks. Which measure of central tendency best represents the
vitfil [10]

Answer:The answer is Mean or Median

Step-by-step explanation:

Mean represents the average of a set of values which is gotten by adding the miles then diving by the total number .

Mean generally gives you the average ,so it is the best means to get the number of miles and it is also the most frequently used

Median is the mid number (s) in a data set .

Median is useful in this data because there are some missing values in the data .

8 0
3 years ago
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