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3 years ago

What is the solution to the equation shown below

Mathematics

2 answers:

sattari [20]3 years ago

3 0

$y=\dfrac{3}{x-2}+6\\\\Draw:\ y=\dfrac{3}{x}\\\\shift\ 2\ units\ right\ and\ 6\ units\ up.$

$y=\sqrt{x-2}+8\\\\Draw:\ y=\sqrt{x}\\\\shift\ 2\ units\ right\ and\ 8\ units\ up.$
The answer is the first coordinate of the intersection point of the graphs:
x = 3

andre [41]3 years ago

3 0

Answer: Yeah it would have to be x=3

Step-by-step explanation:

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Preston and Joel are both solving the equation 2x=14. Preston is not sure what to do because he does not know a power of 2 that

Murrr4er [49]

Answer:

yes

Step-by-step explanation:

You can always separate an equation into two parts and see where those graphs intersect.

Joel's method works well.

_____

Additional comments

Preston should know that the invention of logarithms makes it easy to solve equations like this. x = log₂(14) = log(14)/log(2) ≈ 3.8073549.

As for Joel's method, I prefer to subtract the right side to get the equation ...

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Then graphing y = 2^x -14, I look for the x-intercept. Most graphing calculators make it easy to find x- and y-intercepts. Not all make it easy to find points of intersection between different curves.

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