Sara V.

Suppose x can be expressed as a function of y by x = 5x − 3. a. How can y be expressed as a function of x? b. What is the relationship between the slopes of the two linear equations? c. How do the x-intercepts and y-intercepts of the two equations relate?

Let f(x) = m1x + b1 and g(x) = m2x + b2 be two linear functions. Answer the following, noting that answers may depend on the the ms and bs. a. Is f (x) + g(x) a linear function of x? b. Is f (x) − g(x) a linear function of x? c. Is f (x) × g(x) a linear f...

For each of the following explicit descriptions of a sequence, find a recursive description; for the recursive ones, find an explicit rule. Assume sequences start from n = 1. 1. an = 2n2 − 3n 2. a1 = 4 and an+1 = an + 2 3. a1 = −8 and an+1 = an 2 4. an =3...

Three numbers are in an arithmetic progression; three other numbers are in a ge- ometric progression. Adding the corresponding terms of these two progressions yields 32, 26, and 32. The sum of the three terms of the arithmetic progression is 51. Find the...

For each of the following sequences, find an explicit and a recursive description of the pattern. Assume sequences start from n = 1. a. 1, -1, -3, -5... b. 8,2,3,9... c. -2, 0, 0, -2, -6...

Sequences that increase at increasing rates are sometimes described as “growing exponentially”. However, this is not always a correct use of the word. For example, both quadratic (constant second difference) and exponential growth share this property. Sup...

Now that I have the answer to those parts... how would I change the four equations we use to describe the problem if Al walks more than twice as fast as Bill?

for #3 it should be an/2