An office supply firm finds that the number of laptop computers sold in year x is given approximately by the function $f(x)=150+2 x+x^2$, where x=0 corresponds to 2010.

(a) What does f(0) represent?

(b) Find the number of laptops sold in 2016.

If $f(x)=x^2+4 x+3$, find f(a-1) and f(a-2).

Find the points of intersection of the curves $y=-x^2+x+1$ and $y=x-5$.

The constants K and V in previous Exercise are often determined from experimental data. Suppose that a line is drawn through data points and has x-intercept (-500,0) and y-intercept (0,60). Determine K and V so that the line is the graph of the function f(x)=(K/V)x+1/V. [Hint: Use previous Exercise (b).]

Explain how to solve f(x)=b geometrically from the graph of y=f(x).

In Exercise given below, compute the numbers.

$$16^{3 / 4}$$

Let $f(x)=\frac{x}{x-2}, g(x)=\frac{5-x}{5+x}$, and $h(x)=\frac{x+1}{3 x-1}$. Express the following as rational functions.

$$\frac{h(s)}{f(s)}$$

Consider the rectangular box of Exercise mentioned. Assume that the box has no top, the material needed to construct the base costs $5 per square foot, and the material needed to construct the sides costs$4 per square foot. Write an equation expressing the fact that the total cost of materials is $150. (Use the dimensions assigned in said Exercise.)

Factor the polynomials in Exercise given below.

$$2 x^2-12 x+18$$

Factor the polynomials in Exercise given below.

$$3 x^2+12 x+12$$

In Exercise given below, compute the numbers.

$$8^{4 / 3}$$

If $f(x)=x^2-2 x$, find f(a+1) and f(a+2).

Let $f(x)=\frac{x}{x-2}, g(x)=\frac{5-x}{5+x}$, and $h(x)=\frac{x+1}{3 x-1}$. Express the following as rational functions.

$$\frac{f(x)}{g(x)}$$

In the formula A=P(1+i)$^n$, what do A, P, i, and n represent?