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kap26 [50]
3 years ago
12

Which of the following points lie in the solution set to the following system of inequalities?

Mathematics
2 answers:
Vitek1552 [10]3 years ago
4 0

Answer:

Step-by-step explanation:

y ≤ x − 5

1<10-5

1<5

Pair: (10,1)

y ≤ −x − 4

-10<-1-5

-10<-6

Pair: (1,-10)

nikdorinn [45]3 years ago
3 0

Answer:

<h2>(1, −10)</h2>

Step-by-step explanation:

If we graph this system of inequalities, we could find the solution.

From the graph you can deduct that the only right answer is the last one (1,-10), because the area of solution is only for negative values of <em>y.</em>

Therefore, the right choice is the last one.

If you can't graph, you can try another method. If we replace the value in the system, it should satisfy it, that is, it should gives us a true result like 0<1 for example. Let's try

For x=1 and y=-10, we have

-10 ≤ 1 − 5

-10 ≤ −1 − 4

-10 ≤ -4

-10 ≤ -5

As you can see, the result is true, because -10 is less than -4 and -5, so that's the right answer.

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For this problem. it is found that:

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A linear function is modeled by:

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In which:

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From the problem, we have that:

a) The automobile has depreciated 75% in 5 years, as 4000/14500 = 0.25, and 100% - 25% = 75%.

b) The value of the automobile was reduced by $10,500 in five years, as 14500 - 4000 = $10,500.

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