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melisa1 [442]
3 years ago
9

Solve these equations. Show solutions on a number line. |x+8|=x+8​

Mathematics
1 answer:
statuscvo [17]3 years ago
3 0

Answer:

-8 < x < inf

[-8 , inf )

Step-by-step explanation:

set up a +/- |x + 8| = x + 8

the setup a number line and use test points

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2 years ago
Write the slope-intercept form of the line that passes through (-10,17) and (5,-4)
luda_lava [24]

Answer:

y = 7/5 x + 31

Step-by-step explanation:

To find the slope, we need to use the formula

m = (y2-y1)/(x2-x1)

m =(-4-17)/(5- -10)

   = -21/(5+10)

  = 21/15

Divide the top and bottom by 3.

  = 7/5

The slope is 7/5.


Using the point slope form of the equation,

y-y1 = m(x-x1)

y-17 = 7/5 (x--10)

y-17 = 7/5(x+10)

Distribute the 7/5 ths.

y-17 = 7/5 x + 7/5*10

y-17 = 7/5 x +14

Add 17 to each side

y = 7/5 x + 14 + 17

y = 7/5 x + 31


This is in slope intercept form, with the slope  being 7/5 and the y intercept of 31

3 0
3 years ago
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gavmur [86]

Answer:

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Step-by-step explanation:

the absolute value of -2 and 2/3- 51/3 is 7

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3 years ago
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Read 2 more answers
A bus makes a stop at 2:30, letting off 16 people and letting on 3. The bus makes another stop ten minutes later to let off 2 mo
liq [111]

Answer:

10 people lesser.

Step-by-step explanation:

Initially, it 15 people  get off but 9 people get picked up, hence losing 6 people.  If 4 more people get off, it has then lost 10 people total.

The original number of passengers on the bus decreased by 10 after the second stop

Assume that the total passengers on the bus before 2:30 was x

Now, at 2:30:

15 passengers got off and 9 got on.

This means that:

number of passengers = x - 15 + 9 

number of passengers = x -6

10 minutes later:

4 passengers got off the bus

This means that:

number of passengers = (x-6) - 4

number of passengers = x - 10

The original number of passengers on the bus decreased by 10 after the second stop.

3 0
3 years ago
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