Exam 7: Prerequisites

The suggested retail price of a new hybrid car is p dollars.The dealership advertises a factory rebate of $2000 . ​ Select a function R in terms of p giving the cost of the hybrid car after receiving the rebate from the factory. ​

Identify the rule(s) of algebra illustrated by the statement. ​ X(3y) = (x · 3)y = (3x)y ​

Evaluate the indicated function for and . ​ ​ ​

Find the inverse of the one-to-one function. ​ Y = 5x + 9 ​

Identify the terms.Then identify the coefficients of the variable terms of the expression. ​

Evaluate the function f(x) = [[x]] for x = 9.2. ​

Use the functions given by f(x) = x + 2 and g(x) = 2x - 5 to find (f _º g)^-1. ​

Select the linear function such that it has the indicated function values. ​ ​

Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph. ​ ​ ​

Find the domain of the function. ​ ​

Find the slope of the line passing through the pair of points. ​ P(-4, 3); Q(2, -9). ​

Change the following number from scientific notation to decimal notation. 2.13 × 10^-2

Determine whether the function has an inverse function.If it does, find the inverse function. ​ F(x) = (x + 4)², x ≥ -4 ​

​Find the x- and y-intercepts of the graph of the equation . ​

A Ferris wheel is built such that the height h (in feet) above the ground of a seat on the wheel at time t (in seconds) can be modeled by .The wheel makes one revolution every 36 seconds and the ride begins when t = 0.During the first 36 seconds of the ride, when will a person, who starts at the bottom of the Ferris wheel, be 67 feet above the ground? ​

The total numbers of Navy personnel N (in thousands) and Marines personnel M (in thousands) from 2000 through 2007 can be approximated by the models ​ and ​ Where t represents the year, with t = 0 corresponding to 2000. ​ Find and interpret . ​

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line. ​ ​

The cost of sending an overnight package from Los Angeles to Miami is $25.00 for a package weighing up to but not including 1 pound and $3.50 for each additional pound or portion of a pound.Use the greatest integer function to create a model for the cost C of overnight delivery of a package weighing x pounds, x > 0. ​

Use a calculator to approximate the number.(Round your answer to three decimal places.) ​ ​ ​

​Find . ​ ​