5. divide and simplify if possible. √250x16√2x 6. what is the solution of the equation? √2x+13−5=x

5.  (5x^7)√(5x)

6.  x = -2

Step-by-step explanation:

5.

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6.

There is always the possibility of extraneous solutions for equations like this. We can check.

  √(2·(-6)+13) -5 = -6 . . . . substitute -6 for x

  √1 -5 = -6 . . . . . . . . . . . . not true; -6 is an extraneous solution

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  √2·(-2)+13) -5 = -2

  √9 -5 = -2 . . . . . . . . . . . true; x = -2 is the solution

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The attached graph has the equation rewritten so it is of the form

  f(x) = 0

where

  f(x) = √(2x+13) -5 -x

The x-intercept is highlighted on the graph. It is x=-2. You can see that if the negative branch of the square root function were included, it might make an x-intercept at x=-6. For our purposes, the square root function is the positive square root only, so that branch is not included and -6 is an extraneous solution.

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: