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Basic Algebra

Radical and Rational Exponents

1) Solve the following algebraically. You must show all your work. 2) Solve algebraically and check your potential solutions: sqrt(x +20) -x = 0 3) a) Show the steps that you would take to solve the following algebraically: b) What potential solution did you obtain? Explain why this is this not a solution. 4) For the

Methods for Solving Quadratic Equations

Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Why?

Logarithmic Functions

Please see the attached file for the fully formatted problems. 1. Use the change of base formula to find the following logarithm. Round to five decimals. 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)

Logarithmic Functions with Domain, Range, Intercept and Vertices

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)

Solving Quadratic Equations with no Solutions

Write a quadratic equation (see attachment) How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only give the solution? Is it possible to have different quadratic equations with the same solution? Explain. Provide your classmate's with one or two solutio

Put-call parity call premiums

Question attached in excel. On June 25th, the call premium on a Dec 25 PHLX contract is 6.65 cents per pound at a strike price of $1.81. The 180-day interest rate is 7.5% in London and 4.75% in New York. If the current spot rate is 1 pound sterling = $1.8470 and the put=call parity holds, what is the put premium on a December

Independent and Dependent Samples

Explain the difference between independent samples and dependent samples. Classify the following as independent or dependent samples: a. Weights of identical twins b. The effectiveness of two different brands of ibuprofen c. Effect of a new training program on time taken to complete a task, measured by a "before" and "aft

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

cost of removing the pollution

If the cost in millions of dollars, to remove x% of pollution in a lake modeled by C=6000/200-2x, how would I figure the cost to remove 75% of the pollution? Here is my solution: C=6000/200-2(75) C= 120 Is this the correct way to solve?

One-third of a number is 5 less than half of the same number. What is the number?

One-third of a number is 5 less than half of the same number. What is the number? An investment of $1500 paid interest of $45 during a certain period. how much interest would an investment of $2000 invest at the same length of time pay? In baseball a player's batting average is the ratio of hits to the number of times he o

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(

Solve equation by using substitution or elimination.

1. An art dealer sold two artworks for $1520 thereby making a profit of 25% on the first work and 10% profit on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other artwork. Find the actual cost of each artwork. 2. A professor

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)/

Solving a Quadratic Equation

The height h in feet of an object after t seconds is given by the function h = -16t^2 + 40t + 9. How long will it take the object to hit the ground? Round your answer to the nearest thousandth.

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

Radicals and Rational Exponents Problems

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 9.1 Exercise 27 Find each root Answer: Exercise 37. Use the product rule for radicals to simplify each expression

How do you know if a quadratic equation will have one, two, or no solutions?

1. Read Ch. 11 (attached)of Introductory and Intermediate Algebra. · Post a response to the following: How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solut

Round-off Error : Quadratic Equations

GIVEN If b^2-4ac>0, the quadratic equation ax^2 + bx +c = zero has two real solutions x1, x2 given by the typical: (1) X1 = (-b + sqrt(b^2 - 4ac))/2a and (2) X2= (-b - sqrt(b^2 - 4ac))/2a By rationalizing the numerator it is also given that: (1A) X1 = -2c / (b + sqrt(b^2 - 4ac)) (2A) X2 = -2

Basic Algebra

Complete and please show the work. Please see attached file for full problem description. 1. Express 775% as a decimal. A) 775 B) 77,500 C) 77.5 D) 7.75 2. Evaluate. | -7 | + | 13 | A) 20 B) -20 C) 6 D) -6 3. Evaluate. 81 ÷ 9 - 16 ÷ 8 A) 7 B) 9 C) 6 D) 8

Simplify the Radical Equations

Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify. Consider participating in the discussion by simplifying your classmates' expressions.

Simplify rational expression

Please solve attached exercises using the Equation Editor, you must show work. Exercise 17 Build each rational expression into an equivalent rational expression with the indicated denominator Exercise 63. Find the LCD for the given rational expressions and convert each rational expression into an equivalent rational expre

Applications of Logarithmic and Exponential Equations

Part 1: Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function, H= p * at , where p is the number of new homes built in the first year

Extraneous Solutions to Real Life Problems

The answer was finding the length and width of a rectangle. The results were x= 3 and x= -4. Neither the length or width can be a negative number. However, 3 did work in the original equation." You are correct that in a real world physical problem like you cited the answer cannot be negative. But is the negative answer