Help with numbers 10 and 11 in Blue Book

<p>I dont know how to solve numbers 10 and 11 on pages 338 and 339 on College Board’s Blue Book edition 2.</p>

<p>for number 11, i plugged in random easy numbers, for example 100 gallons of paint=g and 50 gallons used=n therefore n= 50 gallons of unused paint or 50% remaining, which after i did the calculation ended up with choices A and E, so i transitioned the amount of paint and on my second try used 100 gallons of paint=g 75 gallons of paint=n and 25 gallons would be the remaining amount. after plugging in the numbers to equation E i got 25 :slight_smile: (hope this helped)</p>

<p>For 10) rearrange the equation.</p>

<p>f(x) = (x+1)^3/4 -----> 4 becomes the degree of the radical and 3 becomes the power of the exponent inside the radical</p>

<p>f(x) = 4/(x+1)^3</p>

<p>Because (x+1)^3 is inside the radical and the question is asking for all values of x that result in a real number, (x+1)^3 cannot be negative. </p>

<p>Since any negative inside a radical results in an imaginary number (i), all values of (x+1)^3 that equal 0 or greater will work.</p>

<p>So solve for x:</p>

<p>x+1 >=(greater than/ equal to) 0</p>

<p>x >= -1</p>

<p>So all values of x that are greater than or equal to -1 satisfies the question, which asks for all the values of x that result in real numbers.</p>

<p>Yeah I got it! I also tried the substituting method and both A and E were working. So after I changed the values, only E was valid. Thank you.</p>

<p>Thank you Brostradamus! I got the answer but what happens to the 4 and the cubed which is inside the radical?</p>

<p>Well for actually finding the answer the ^3/4 is useless once you find out that (x+1) is inside the radical. From there the problem is just x+1>0</p>

<p>Oh alright. Thanks a lot!</p>