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Basic Algebra

Algebra multiple choice questions

(See attached file for full problem description for PROPER EQUATIONS AND SYMBOLS) --- If f(x) = x(x + 3)(x ¨C 1), use interval notation to give all values of x where f(x) > 0. a. (¨C3, 1) b . (¨C3, 0) ¡È (1, ¡Þ) c . (1, 3) d . (0, 1) ¡È (3, ¡Þ) If f(x) = x(x ¨C 1)(x ¨C 4)2, use interval notation to give

Explain Polynomial Expansions and Formulating Sequences

Please explain these expansions Solution 20. (2x + 3)^4 =(2x)^4 + 4*((2x)^3)*(3) + 6*((2x)^2)*(3^2) + 4*(2x)*(3^3) + 3^4 =16x^4 + 96x^3 + 216x^2 + 216x + 81 21. (x^2 + 5)^4 =x^4 + 4*(x^3)*(5) + 6*(x^2)*(5^2) + 4*x*(5^3) + 5^4 =x^4 + 20x^3 + 150x^2 + 500x + 625 24. 1,1/4, 1/9, 1/16, 1/25,..... =>

Problem Set

(See attached file for full problem description) --- Problem 1. The number of trout in a breeding pond is given by , where t is the number of months that have passed since the pond was stocked with trout. a. How many trout were in the pond immediately after it was stocked? b. How many trout were in the pond 1 yea

Solve for x

(See attached file for full problem description)

Solve equation

(See attached file for full problem description with proper formatting) Solve the equation for x : 2 3 x = 3 2 x + 1

Contemporary Mathematics

Any help that you could give me on these problems would be greatly appreciated. I am completely lost and the book doesn't seem to help me much. (See attached file for full problem description with diagrams) --- Instructions: ? Identify the document by typing your full name and section number next to the yellow text.

Math problem 2

(See attached file for full problem description) If f(x) = √ x - 2 , then f -1(x) is equal to _______

High school Algebra

Solve 13) Approximately 1% of US students were studying abroad in 1994. Based on data from the Institute of International Education, the number of US students in study-abroad programs from 1994-1997 can be modeled using the equation y = 7248x + 76207, where x =0 corresponds to year 1994. Using this model, what would you expec


1. A passenger train leaves the train depot 2 hours after a freight train leaves the same depot. The freight train is traveling 20 mph slower than the passenger train. Find the rate of each train, if the passenger train overtakes the freight train in three hours. 2. Solve 3. How many liters of a 70% alcohol solution

Applications of Quadratic Equations - Word Problems

1. Solve using the quadratic formula: x^2 = 2x - 10 a) Show what you use for a, b, and c. b) Show your two answers 2. Brent is flying a kite on 50 feet of string. The kite's vertical distance from Brent is 10 ft more than its horizontal distance from Brent. Find its horizontal and vertical distances from Brent. Sh

Other zeros

(See attached file for full problem description) If P(x) = x^3 + x^2 - 5x + 3, and if x = 1 is a zero of P, find the other two zeros.

Cyclic Multiplicative Group : Field of Order 2^7

1. Prove that the multiplicative group of a field of order 2^7 is cyclic. Note: This problem can be solved in a few lines. Do not construct the field of order 2^7 to solve the problem. 2. Prove that the only subfield of a field of order is a field of order 2.

Linear, quadratic, rational, or exponential functions

a) Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function? b) Which one of the basic functions (linear, quadratic, rational or exponential) is related to the arithmetic sequence? c) Which one of the basic functions (linear, quadratic, rational or exponential) is rel


(See attached file for full problem description) Factor completely over the integers - y^3 - 1000 z^6

Answer study guide

(See attached file for full problem description) --- 1. Which property of the real numbers is illustrated by the following statement? 9 ? (7 + 11) = 9 ? 7 + 9 ? 11 A) Commutative property of multiplication B) Associative property of addition C) Associative property of multiplication D) Distributive property 2.

Fixed Rate and Logarithm Change of Base Formula

For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula, A=P(1+r)^nt, let r= n 10%, P=1 and n=1 and give the coordinates(t,A) for the points wher

Logarithmic functions explained in this solution

The formula for calculating the amount of money returned for an initial deposit money into a bank account or CD (Certificate of Deposit) is given by A is the amount of returned. P is the principal amount initially deposited. r is the annual interest rate (expressed as a decimal). n is the compound period. t is the number


After their star pitcher moved to another town, the eight remaining members of the company baseball team needed to select a new pitcher. They used approval voting on the four prospects, and the results are listed below. An "X" indicates an approval vote. Which pitcher is chosen if just one is to be selected? (see attached

The possibilities of voting

(See attached files for full problem description) --- 1. Four members are running for president of the Local Math Club - Alicia (a), Brice (b), Charlie (c), and Destiny (d). The voter profile is summarized in the table. Use the Hare method to determine the winner. Number of voters Ranking 17 c > d > a > b 11

Study guide

(See attached file for full problem description) STUDY GUIDE 1. Solve. x2 + 5 = 21 A) B) C) ±4 D) 2. Solve. 9x2 = 14 A) B) C) D) 3. Solve. 5(x - 2)2 = 3 A) B) C) D) 4. Is the following trinomial a perfect squa

Bol-ful and Ful-bol Numbers; Unit Conversions

7. An integer is a ful-bol number if it is divisible evenly by the square of an integer that is greater than on. For example, 343 is a ful-bol number because it is divisible by 49 which is the square of 7. A bol-ful number is a ful-bol number which, when the digits are reversed, it is still a ful-bol number. Note: 343 is a