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Sunny_sXe [5.5K]
4 years ago
13

Math question please show work for brainliest :)

Mathematics
1 answer:
HACTEHA [7]4 years ago
7 0

Hey there!!


Problem given :


3 I x - 1 I ≥ 12


Divide 3 on both sides


I x - 1 I ≥ 4


Now, in order to remove the modulus , you add a ± symbol on the other side and you need to switch the symbol for the negative values


Now,


( x - 1 )  ≥ ±4


Let's take negative first


x - 1 ≤ -4


x ≤ -3 ( this is one of the answer )


Now, lets take the positive sign


x - 1 ≥ 4


x ≥ 5


Hence, the two values are x ≤ - 3 and x ≥ 5


Hope my answer helps!


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Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance b
Ede4ka [16]

Answer:

  • <u>After 1.7 hours</u>

Explanation:

<u>1. Calculate the average speed of train B</u>

  • 60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

<u>2. Build a table</u>

When the two trains meet:

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                 mph                            

A                 60                             x                        x/60

B                 80                        240 - x                (240 - x) / 80

<u>3. Write the equation</u>

The time, when the two trains meet, is the same for both trains:

                  \dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles

<u>4. Calculate the time:</u>

  • x/60 = 102.86 / 60 = 1.7 hours

The two trains will meet after 1.7 hours

7 0
3 years ago
Write an equation of the line through (-6,-1) having slope of
Lady_Fox [76]
Use the point-slope form:  y-k = m(x-h).

Here,  y-[-1]) = (17/14)(x+6), or y+2 = (17/14)(x+6).  This could, of course, be solved for y if you wish.  Mult. both sides by 14, we get 14y+28=17(x+6).

This becomes 17x + 102 - 14y - 28 = 0, or 17x -14y + 74 = 0 (which is standard form).  You could also write 17x - 14y = -74.
4 0
3 years ago
To 1 significant digit, how much Coumarin (in grams) would a 70 kg (154lb) student have to ingest to reach the LD50?
timofeeve [1]

Answer:

2 × 10 g

Step-by-step explanation:

The lethal dose 50 (LD50) of Coumarin is 293 mg/kg body mass. The amount of Coumarin that a 70 kg student would have to ingest to reach the LD50 is:

70 kg body mass × (293 mg/kg body mass) = 20510 mg

1 gram is equal to 1000 milligrams. The mass (in grams) corresponding to 20510 milligrams is:

20510 mg × (1 g/ 1000 mg) = 20.51 g ≈ 2 × 10 g

6 0
4 years ago
The difference of three times a number n half the number is 60
ira [324]
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3 0
3 years ago
Solve equation for z
liraira [26]

Answer:

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Step-by-step explanation:

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Add 8 to both sides.


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Multiply 5 by both sides.


9z + 4 = 67


Subtract 4 from both sides.


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Divide both sides by 9.


z = 7

5 0
4 years ago
Read 2 more answers
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