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Basic Algebra

Logarithmic Functions

Please see the attached file for the fully formatted problems. NO CALCULATOR allowed: Use techniques of transformation and rules of logarithms to find domain, range, intercepts and the equation of the vertical asymptote for the following function: f(x) = log 5 (x + 2) a) What action was used to transform y = log 5 (x)

Exponential and Logarithmic Equations : Solve for x

Math 165 - Precalc study guide 1 for exam 1 2. Solve for x in each of the following equations below. Give the exact answer when possible. If no exact answer is possible, round your answer to 5 decimals. (a) (b) log(x + 1) ? log(x ? 4) = log 6 (c) (exact) Please see the attached file for the full

Solution of exponential equation

I'll trying to solve this evolution equation and I can't seem to remember my algebra. Here's the problem: How do I solve for N? 0.9 = [1 - 1/(2N)]^33

Profit / Revenue / Break Even Point

Suppose a small bicycle manufacturer makes cheap bikes that sell for 180$ each. The total cost of producing x bikes (in $) is given by c(x)=6000+240x-0.8x^2, where x is up to 200 bikes. a. Write down the revenue function. b. Graph the cost and revenue functions on suitable scales, for x from 0 to 200. c. Find the break

Important Information About Solutions of Quadratic Equations

I am completely lost in this class. I really want to understand the concepts in this chapter. Can anyone help? (1) How do you know if a quadratic equation will have one, two, or no solutions? (2) How do you find a quadratic equation if you are only given the solution? (3) Is it possible to have different quadratic e

Denials and Negations

Please solve for #7 and the problems marked by * in #10. Actually there is no prerequisites for the problems. For #7, you just need to decide the statement can be a mathematical proposition or not. College level proof before real analysis. Please give formal proof. Please explain each step of your solution. Thank you.

Multiplying Out Brackets and Simplifying

Please provide step-by-step instruction on how to simplify the following expression so that it is in its simplest form with no brackets: [(X^2-13)/(X-4)]-[3/(X-4)]

Fields, Transcendence Basis and Algebraic Dependence

CORRECTION: In this problem, transcendence degree should *add*, not multiply as the prblem states. Also, that last letter in the problem that is cut-off is "L". Please see the attached file for the fully formatted problem.

Solving Simultaneous Equations

Problem: Equations (1)-(3) need to be simultaneously determined to find the solutions given (a-c). Show the algebraic steps using the equations (1)-(3) to prove that q, u, and d do indeed equal the solutions given. (1) (2) (3) u ∙ d = 1 Solutions: (a) (b) (c) NOTE:

Simplifying Radical Expressions

Please see the attached file for full problem description. Without simplifying the radicals , , and , not only can we not really see that they are like radicals, but we also can't see what the coefficients and radical parts look like so that we can add them properly. Once we have simplified each radical we are ready to

Bisection Algorithm and Programming

Procedures (These are the general instructions I must follow): You may use calculators and Computer Algebra programs when doing calculations. The only high level commands you can use are plotting commands. Never use commands like FindRoot, Solve, Taylor, etc, on any exam or quiz. Problem is attached: Interested in address

Factoring

Please see the attached file for full problem description. 1. Find the greatest common factor of 12x and 27x = The GCF is 2. Find the greatest common factor of 28a b,8a b , and 36ab 3. Factor. Check the multiplying. 3x +6x = 4. Factor. Check the multiplying. 9x y +45x y +_18xy= 5. Factor: x (x+2)+5(

Simplifying Radical Expressions

Please complete the attached problem. Also, please give another example of a radical expression for your classmates to simplify and provide answer.

Quadratic Equations and Determinants

Determine whether the following equations real or complex solutions; justify your answer. Note: It is not necessary to find the solutions; just determine if they are real or complex and explain why. a) 5x2 + 8x + 7 = 0 b) (7)1/2y2 - 6y - 13(7)1/2 = 0 c) 2x2 + x - 1 = 0 d) 4/3x2 - 2x + 3/4 = 0 e) 2x2 + 5x + 5 = 0 f)

Basic Algebra

Section 5.1 #22 Write fraction in simplest form. (-10a^3b^2c^3)/(15ab^4) *I got the answer -(2a^2c^2)/(3 b^2), is this correct? #48 Write the expression in simplest form. (ab-3a+5b-15)/(15+3a^2-5b-a^2b) *I got the answer of -(a+b)(5+a^2), is this correct? Section 5.2 #14 Multiply the fractions. (x^2-3x-10)/

Applications of Linear Equations : Trends and Forecasting

Bill heats his house with natural gas. The gas usage is measured in therms (T). In January of 2007 he used 125 therms over 34 days (D) and the average temperature (T) was 49 degrees farenheit. This year in January he used 190 therms over 31 days and the average temperature was 43 degrees. He wants to know if the added usage

Solving equations with radicals and exponents, quadratic equation

Please solve attached exercises using the Equation Editor, you must show work. Answers are already provided from the actual book. You must show however how you have arrived at the answer. Thank you. Exercise 17 Find all real solution to each equation: x^2 + 9 = 0 Exercise 29 Solve each equation and check for extraneous sol

Quotients, Powers and Rationalizing Denominators

Please solve below exercises using the Equation Editor, you must show work. Answers are already provided from the actual book. You must show however how you have arrived at the answer. Section 9.3 Exercise 35 Simplify the products Answer: Exercise 83 Simplify the expression Answer: