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

T.11Solve two-step equations: word problemsD2Y I need help with the IXL Lesson "Solve two step equations: word problems. T.11 7th Grade D2Y ..read more

The absolute value of a real number a, denoted by the symbol | a |, is defined by the rules below. Rule 1 | a | = a if a is >= 0 Rule 2 | a | = - a if a < 0. Rule 2 is a bit unclear. Can someone provide 2 examples to clarify Rule 2 ..read more

1. | 8 | = 8...Rule 1 2. | 0 | = 0...Rule 1 3. | - 25 | = -(-25) = 25...Rule 2 Yes ..read more

The square magnitude (SM) of a 3 component vector is: (xx + yy + z*z). If you divide vector A by ( 1.0 + SMA), where SMA is the square magnitude of A, is there a function that you can perform to obtain the original vector? Lets take original vector3 A = (Ax, Ay, Az). The final vector3 B = A/(1.0 + AxAx + AyAy + Az*Az). Now, is there a function of B that will return A? Thank you! I originally found that the dot product of a Vector with itself equals the vectors square magnitude.... function to obtain original vector after dividing it its square magnitude ..read more

Hello, From the exercise it gives two answers to solve attached problem: 3+(3x%4) 3x % (x+4) But when we plug in i.e.: number 5. The answer to first solution is 6.75 and to second is 1.66666... Any idea? thanks in advance! I ..read more