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Katen [24]
3 years ago
4

Jalen solved the equation |x-2| - 1 > 2 by graphing. Which graph can Jalen use to show his solution?

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
7 0

Answer:

It´s graph B?

Step-by-step explanation:

Sergeeva-Olga [200]3 years ago
6 0
For this case we have the following inequality:
 |x-2| - 1 \ \textgreater \  2
 We can rewrite the inequality as follows:
 |x-2|  \ \textgreater \ 2 + 1
 |x-2| \ \textgreater \ 3
 From here, we have two possible cases:
 Case 1:
 x-2 \ \textgreater \ 3
 Case 2:
 x-2 \ \textless \  -3

 Therefore, graphically, it is observed that the solution is:
 (5, ∞)
 (-∞, -1)
 To do this, we must observe the shaded region in the graph, or equivalently the numerical line.
 Answer:
 
(5, ∞)
 
(-∞, -1)
 
See attached image for the graphic solution


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Step-by-step explanation:

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2 years ago
The number of phone calls between two​ cities, N, during a given time period varies directly as the populations p 1 and p 2 of t
kherson [118]

Answer:

∴73,563 calls are made between two cities with populations of 100,000 and 160,000 that are 435 miles apart.

Step-by-step explanation:

Given that,

The number of phone calls between two cities (N )

  • directly proportional as the value of populations p_1  and p_2  of two cities.
  • Inversely varies as the magnitude of distance (d).

N\propto\frac{p_1p_2}{d}

N=k.\frac{p_1p_2}{d}

Given that,

N=18,000, d=310 miles,  p_1=15,500 and p_2=180,000

18,000=k.\frac{15,500\times 180,000}{310}

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