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Answers by Philip P.

f(x) = a(x-1)(x+2)(x-(3+i))(x-(3-i))   a can be any real number except 0.  The simplest polynomial is when a = 1.  Multiply it put to put it into standard form and show that the coefficients are real.

Calculate the z-score (look it up) then look up the percentile on a z score table (http://www.z-table.com/).  The percentile is the percent of chickens that lay 32 or fewer eggs.  So the probability that a given chicken will lay more than 32 eggs is 1 - percentile.

Hmm, you didn't tell us the units of density nor thee dimensions and units of the cuboid.  But here's how you'd do it.   density = mass/volume   density · volume = mass density = 9.86 (units?) volume = (side length)3   (9.86)·(side length)3...

(-2, ___) is an (x,y) ordered pair.  The x value is -2 and you are asked to find the y value.  To find the y value, just plug x = -2 into the given equation:   y = 3x - 7 y = 3(-2) - 7 y = ___?

Work done in lifting the block:   W = force·distance = mgh W = (20 kg)(9.8 m/s2)(6 m) = 1176 joules   Efficiency = 1176/2000 = 0.588 So the machine converted 1176 joules out of the 2000 joules it consumed into lifting the block. The other 824 joules were lost as...

Let the two digit number be xy,  The sum of the two digits is 12:   x + y = 12   The value of the number obtained by switching the digits (yx) is 18 more than the original number (xy).  Recall that the first digit is in the "tens" place and the second...

The discount is the amount taken off of the total price; that is, it's 15% of the total price:   (60 boxes) x ($15.97) x (0.15)   The discounted price is what you pay after applying the discount:   (60 boxes) x ($15.97) x (1 - 0.15)

The median is the middle value of the data set, which is 4, so you want the mean to be 4 as well.  The mean is computed by:   mean = (2+3+4+5+x)/5 4 = (14+x)/5   Solve for x.

As written, the equation is:   g(x) = (1/3)x - 9   g(6) = (1/3)(6) - 9 = -7 g(a) = (1/3)a - 9 = a/3 - 9   g(6) + g(a) = -7 + a/3 - 9 = ____?