Evaluate each function for the given input values. For g(x)=4x-9, find g(x) when x=3 and when x=5.

find the inverse of the matrix (if it exists). [-8 0 0 0 , 0 1 0 0 , 0 0 4 0 , 0 0 0 -5]

Tell whether the two ratios form a proportion. Explain.

$$\frac { 3 } { 4 } \text { and } \frac { 12 } { 15 }$$

Evaluate each function for the given input values. For

$$f ( x ) = \frac { 2 } { 3 } x + 3$$

, find f(x) when x=9 and when x=-3.

Evaluate each function for the given input values.

For $g(x)=4 x-9$, find $g(x)$ when $x=3$ and when $x-5$.

Use a graphing calculator to solve the equation.

$$\ln 2 x = e ^ { x - 3 }$$

Which response best answers the question "If a person's metabolism were not functioning properly, what symptom might be present?" A. B. C. or D.

The number of new home sales (in thousands) in the United States as of March 24, 2010, is given in the table below.

$$\left[\begin{array}{lllll} & \text{Northeast} & \text{Midwest} & \text{South} & \text{West} \\ \hline\text{Feb-Mar 2009} & 47 & 94 & 402 & 143\\ \text{April-Jun 2009} & 82 & 607 & 607 & 278\\ \text{Jul-Sep 2009} & 114 & 179 & 623 & 302\\ \text{Oct-Dec 2009} & 102 & 174 & 578 & 253\\ \text{Jan-Feb 2010} & 67 & 91 & 299 & 170 \end{array}\right]$$

Use the information in the table above. Round your answers to three decimal places. What is the probability a home selected at random was sold in the Midwest from Oct–Dec 2009?

Choose the letter of the correct term or concept below to complete the sentence. a. personality b. contingencies of reinforcement c. trait d. defense mechanism e. inferiority complex f. self-actualization g. positive regard h. conditions of worth i. extravert j. introvert. According to Carl Rogers, people require __________, or approval, from other people in order to acquire a self.

Some skin creams claim that they are “pH balanced" and yet do not have a pH of 7. What do the manufacturers mean when they say “pH balanced"?

Write Lewis structures that obey the octet rule for each of the following, and assign oxidation numbers and formal charges to each atom:

$$SOCl_2$$

(S is the central atom),

find the rational zeros of the function. h(x) = x^3 - 9x^2 + 20x - 12

The parking costs in a city garage are $2 for the first half hour and$1 for each additional half hour. Graph the function C=f(t) that gives the cost of parking for t hours, where $0 \leq t \leq 3$.

A parking garage charges $6 for the first 4 hours that a car is parked in the lot. After that, the garage charges an additional$3 an hour. Write a piecewise function for the cost of parking a car in this garage for x hours.