Given R = (1/a) + (1/b) + (1/c), express R as a rational expression. Let me see. LCD on left side is abc. So, abc ÷ a = bc. Then, abc ÷ b = ac. Finally, abc ÷ c = ab On the right side, I get (bc + ac + ab)/(abc), which is a fraction in terms of a, b, and c. I say R = (bc + ac + ab)/(abc) is the answer. You say ..read more

Rewrite each expression in a form that does not contain absolute values. How is this done? (a) | pi - 4 | + 1 (b) | x - 5 | given that x > or = 5 (c) | t - 5 | given that t < 5 ..read more

Given R = 1/[(1/a) + (1/b)]. Let me see. LCD for [(1/a) + (1/b)] is ab. I get (b + a)/(ab). R = (b + a)/(ab) (ab)R = b + a abR - a = b a(bR - 1) = b a = b/(bR - 1) You say ..read more

Show x^2 + x + 1 is prime ..read more

Show that x^2 + 4 is a prime ..read more

Suppose that the graph of a function f is known. Expkain how the graph of y = f(x) - 2 differs from the graph of y = f(x - 2). Let me see. For the graph of y = f(x) - 2, the graph of y = f(x) is shifted down 2 units on the line x = 0. For the graph of y = f(x - 2), the graph of y = f(x) is shifted two units to the right on the line y = 0. You say ..read more

Suppose that the graph of a function f is known. Explain how the graph of y = 4•f(x) differs from the graph of y = f(4x). Let me see. For the graph of y = 4•f(x), we stretch the graph vertically because 4 > 1. For the graph of y = f(4x), we compress the graph horizontally because 4 > 1. You say ..read more

The total projected worldwide digital music revenues R, in millions of dollars, for the years 2005 through 2010 can be estimated by the function R(x) = 170.7x^2 + 1373x + 1080 where x is the number of years after 2005. (a) Find R(0), R(3) and R(5),represents. Explain what each value represents. (b) Find r = R(x- 5). (c) Find r(5), r(8), and r(10), and explain what each value represents. (d) In the model r, what does x represent? Let me see. Part A I simply replace x with 0, 3, and 5... Digital Music Revenues ..read more

Hi, View attachment 4141 View attachment 4141 The numerator is 9x^2 - 4. According to the exam board the correct answer is b = 4. I think b = 2. What do you think ..read more

Let n = any number Why is n/0 undefined? I know that it is impossible to divide something from nothing. Explain ..read more