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# Basic Algebra

### The importance of geometry's role in the math curriculum is debated in many high schools and colleges.

Read the articles 1, 2,and 3. Then respond to the following The importance of geometry's role in the math curriculum is debated in many high schools and colleges. Some schools offer the course while others have done away with it. Based on what you have learned within this unit, do you think geometry is a valuable tool for s

### 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

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

### If you are looking at a graph of a quadratic equation, how do you determine where the solutions are?

Graphing Quadratic Equations Post a response to the following: If you are looking at a graph of a quadratic equation, how do you determine where the solutions are?

### 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

Simplify radical expressions 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 simpli

### Total of 18 Questions on Quadratic equations, factoring and solving word problems.

Please see attached file for full problem description. 21.Factor completely : 6g +19pg+15p 22.Determine whether the expression is a trinomial square: b -4b + 4= Is the expression a trinomial square yes or no? 23. Factor: s +16s+64 24.Factor completely: 3r -54r+243 = 25. Factor: a -81= Type

### 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

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)/

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

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

### Hungry Bugs: If it takes a colony of termites one day to devour a block of wood that is 2 inches wide, 2 inches long, and 2 inches high

Hungry Bugs: If it takes a colony of termites one day to devour a block of wood that is 2 inches wide, 2 inches long, and 2 inches high, then how long will it take them to devour a block of wood that is 4 inches wide, 4 inches long, and 4 inches high? Assume that they keep eating at the same rate.

### Methods for Factoring Quadratic Equations

Post a response to the following: 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?

### 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

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

### Rational Expressions versus Rational Numbers

The description below tells of the properties of rational numbers is very good and comprehensive. However, please describe how it relates to RATIONAL EXPRESSIONS? A rational number is a number that can be expressed as a fraction, ratio of two integers or decimal number. Rational numbers can be ordered in a number line. A