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Robert A.'s Resources

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Rachel, Both solutions show you the correct answer; but they show you to plug in the values before you do the algebra to solve for time. (besides there is a much easier way - see below)   You should Never plug in the values first. You should Always solve the equation for...

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To find the inverse f-1(x) of f(x)   First, if you can graph it you can check if it even has an inverse.         To have an inverse a function must pass both              the Vertical Line Test (VLT)             ...

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"To earn full credit, show how you solved the problem by using correct mathematical symbols and by explaining thoroughly in words each step."   Joan, what have ou done so far?  What is your question. We are not here to do the work for you.  You are getting credit...

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For the first question you are looking for the absolute Difference in Percentages. So just tell what the Difference between the Percentage rates Is.   For the second you are looking for the relative difference. In other words, by what Percent did the Percent Increase.   If...

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For a rectangle the perimeter is 2H + 2W (H and W being the height and width). For a circle the Perimeter (Circumference) is Pi•D.   For this window the D is equal to the W of the rectangle and the rectangular part has only 3 sides and the circular part is 1/2 the circumference...

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You want to mix 2 solutions and have them average out to 70% Equal amounts would average 65% since (50+80)/2 = 65 That leads to one equation. The other is amount of Fifty% + amount of Eighty% = 100ml.   So Volumes:    VF + VE = 100 and percents: ...

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If h(x) = f( g(x) ) then the inverse h'(x) is = to g( f(x) ) So we can find h'(1), or of 2 or 3 by substituting 1, 2, or 3 into the function h'(x) and evaluating the function for those values of x.   BUT the function(s) isn't defined so we can't do the evaluation. Do...

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You have 3 unknowns a, b, and c And you only have 1 equation. ==>> Can't be done.   You need one or more independent equation per unknown. So here you would need 3 independent equations (or more).   OH - btw - that is "What ARE a, b, and c?"

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# 1 is already factored.       So either 2b-3 = 0 or b+2 = 0 and these are the 2 answers for x. #2 needs to be factored.      You need to look for 2 numbers that      multiply to give -48 and add to give +2  ...

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