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QveST [7]
3 years ago
13

Write the absolute value equations in the form |x-b|=c (where b is a number and c can be either number or an expression) that ha

ve the following solution sets: One solution: x=15. PLEASE ANSWER FAST
Mathematics
1 answer:
mars1129 [50]3 years ago
3 0

Answer:

|x-8| = 7

Step-by-step explanation:

The following equation would make x=15 when solved.

|x-8| = 7

This is because if we substitute 15 for x we would have to subtract 8 from 15 which would give us 7 and the absolute value of 7 is 7 which would ultimately make the equation true.

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B.  16 hrs

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Distance = rate × time

The best way to do this is to make a table with the info.  We are concerned with the trip There and the Return trip.  Set it up accordingly:

                    d     =     r     ×     t

There    

Return

The train made a trip from A to B and then back to A again, so the distances are both the same.  We don't know what the distance is, but it doesn't matter.  Just go with it for now.  It'll be important later.

               d     =     r     ×     t

There      d    

Return     d

We are also told the rates.  There is 70 km/hr and return is 80 km/hr

               d     =     r     ×     t

There      d     =    70

Return     d     =    80

All that's left is the time column now.  We don't know how long it took to get there or back, but if it took 2 hours longer to get There than on the Return, the Return trip took t and the There trip took t + 2:

                      d     =     r     ×     t

There             d     =    70   ×    t+2

Return            d     =    80   ×     t

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70(t + 2) = 80t

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That t represents the Return trip's time.  Add 2 hours to it since the There trip's time is t+2.  So 14 + 2 = 16.  

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