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aliya0001 [1]
3 years ago
9

Please help with this algebra question

Mathematics
1 answer:
zhenek [66]3 years ago
7 0
We have
 -2x-3y <12
 For this case what you should do is to graph the following straight line:
 -2x-3y = 12
 Then, the solution will be the shaded region that satisfies the following inequality:
 -2x-3y <12
 In the shaded region you will find all the solution points.
 Answer:
 
See attached image

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Answer: 72 miles.

Step-by-step explanation:

We know the relationship:

Distance = speed*time.

Then we can write the equation for distance as a function of time for Ali as:

A(t) = 12mph*t

where t is time in hours.

Fatimah's equation will be:

F(t) = 18mph*(t - 2h)

where the -2h appears because she starts two hours after Ali.

Fatimah will overtake Ali when F(t) = A(t) (their positions are the same)

Then we need to solve:

12mph*t = 18mph*(t - 2h)

12mph*t = 18mph*t - 18mph*2h

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36mi/6mph = t

6h = t

So Ali travels for 6 hours before he gets overtaken, then the total distance that Ali travels is:

A(6h) = 12mph*6h = 72 mi

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</span>
2 units to the right and 1 unit down.
1 unit to the right and 2 units up
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