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I cannot figure this one out.

I cannot figure this one out.-example-1
User Ifschleife
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1 Answer

3 votes

Answer:


\textsf{A.} \ \, x\approx -0.75 \: \textsf{ and } \: x\approx 5.5

Explanation:

We need to approximate the x-values that satisfy the equation. In other words, we need to find the x-values that make the equation true.

We can see that two functions have been graphed on the coordinate plane:

  • in blue:
    y = 2\, |x - 2| - 5
  • in red:
    y = √(x + 3) - 1

We can also see that these are both sides of the given equation:


2\,|x-2| -5 =√(x+3)-1

Therefore, the x-values that will satisfy the equation are the ones where the red and blue functions have the same output — where they cross on the graph.

We can identify these x-values as approximately:
-0.75 and
5.5. So, the correct answer is:


\textsf{A.} \ \, x\approx -0.75 \: \textsf{ and } \: x\approx 5.5

I cannot figure this one out.-example-1
User Lejla
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8.3k points

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