(a) Show that y Superscript 8 Baseline plus x minus 3 equals 0 is an implicit solution to StartFraction dy Over dx EndFraction equals negative StartFraction 1 Over 8 y Superscript 7 EndFraction on the interval (negative infinity comma 3 ). (b) Show that xy Superscript 9 Baseline minus xy Superscript 9 Baseline cosine x equals 1 is an implicit solution to the differential equation StartFraction dy Over dx EndFraction equals StartFraction (negative x sine x plus cosine x minus 1 )y Over 9 (x minus x cosine x )EndFraction on the interval (0 comma 2 pi ). (c) To verify the solution and the interval, convert y Superscript 8 Baseline plus x minus 3 equals 0 to explicit function(s). yequals RootIndex 8 StartRoot x plus 3 EndRoot (Use a comma to separate answers as needed.)

sometimes it can be so they can fit in with a certain group, and others are just like that because of their personality.

the answer is $4.45. i started by figuring out the cost of the plates and napkins. the easiest way to figure this cost out is through the tax. we know the way they found the tax is by multiplying the cost of non-food items by the tax rate (5% or 0.5). so, all we have to do to find the cost before tax is set up an equation and work this formula backwards. the equation is 0.19=0.05x where x is the cost of the plates and napkins. now all you do is divide both sides by 0.05 to come up with 3.8=x. now that we know the cost of the plates and napkins is $3.80, all we have to do is subtract this cost from the total cost of $8.25 giving us the cost of the watermelon which is $4.45.