PLEASE HELP!!!!!
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<h2>Hello!</h2>
The answer is: The correct dose of medication to give is 5.6 mL
<h2>Why?</h2>To solve this problem we need to establish a relationship between the prescripted medication and the available solution.
Let's write the needed equations to establish the relantionship:
The available solution means 125 mg each 5 mL of solution, so:
Hence, the correct dose of medication to give is 5.6 mL of the 125 mg/5mL solution.
Have a nice day!
Start with the answer format we want, and work your way toward forming a single fraction like so
Compare that last expression to (2x+1)/(x+2). Notice how the ax and 2x match up, so a = 2 must be the case.
Then we have 2a+b as the remaining portion in the numerator. Plugging in a = 2 leads to 2a+b = 2*2+b = 4+b. Set this equal to the +1 found in (2x+1)/(x+2) to have the terms match.
So, 4+b = 1 leads to b = -3
Therefore, a = 2 and b = -3
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An alternative route:
I added and subtracted 4 in the third step so that I could form 2x+4, which then factors to 2(x+2). That way I could cancel out a pair of (x+2) terms toward the very end.
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Other alternative methods involve synthetic division or polynomial long division. They are slightly separate but related concepts.