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Basic Algebra

Quadratic Equations and Negative Discrimants

What type of solution do you get for a quadratic equation where D<0? Give reasons for your answers also provide an example of such a quadratic equation and find the solution of the equation.

Coefficients of Quadratic Equations

Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as: Integers Rational numbers Irrational numbers Do you find any striking difference between the graphical representation of quadratic equations and linear equations? Explain the differences and comment on the responses posted

various problems on algebra and geometry

I need help in completing the following exercises. I need to use the Equation Editor in Microsoft® Word to do these problems, then submit a Word document, showing the work and answers. Attached you will find the problems to be completed. Please help me by actually working the problems with microsoft Equation Editor & replying

Basic Algebra Problems

Section 1.1 Exercises Pages 10-12 Problems 44, 48, 92, 98, 110 Write each interval of real numbers in interval notation and graph it. 44. The set of real numbers greater than or equal to _1 and less than 6 48. The set of real numbers less than or equal to _4 Consider the following nine integers: -4, -3, -2, -1,

Simplifying Radicals

Problem #2: sqrt(3) / sqrt((6) - 1) + sqrt(3) / sqrt((6) - 1) Problem #3: 3 + sqrtx^2-8x) = 0 Problem #4: X^-2=4

Radicals and Quadratic Equations (30 Problems)

Please see the attached file for the fully formatted problems. 1. Simplify. 2. Simplify. Write your answer with only positive exponents. A) B) C) r10 D) r2 3. A triangle has sides 2x - 5, 3x + 1, and 4x + 2. Find the polynomial that represents its perimeter. A) (2x - 5)(3x + 1)(4x + 2)

Basic Algebra Exam

1. Solve. 3(x - 2) - 2x = x - 6 A) Identity B) 0 C) No solution D) 1 2. Find the GCF for 21, 28, and 35. 3. Find the LCM for 6, 28, and 48. 4. Solve the following system of linear inequalities by graphing. x + 2y <= 3 2x - 3y <= 6 5. Evaluate. 6. Evaluate. (15 - 5) ÷ [(12 ÷ 2 ? 2)

Basic Algebra : Graphs

Problems #'s 12, 16, 18, 20, 26, 28, 30, 32, 46 these I need help completing Find the slope and y-intercept of the line represented by each of the following equations. 12. 2x - y = 6 Write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept. 16. Slope: -2

Product and Single Powers Expressed

1. Express the following product powers of t as a single power of t 2. Write without parenthesis 3. 4. Simplify without negative exponents 5. Simplify without negative exponents 6. Multiply and simplify (4z - 2u - 2)(6z - 5u + 6) 7. Write in simplest form without parentheses

Solving Equations

Please show work so that I can get a better understanding. Thank you. (For question 1 - find the value of y in each the formula if x = -3) 1.) y + 1 = 2(x - 5) (For question 2 - Fill the tables using the given formulas) 2.) y = 10x + 100 x y -20 -10 0 10 (For question 3 - Translate ea

Word Problems, Quadratic Equations and Inequalities

Word Problem Diagonal Brace: The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures &#8730;6m. Find the width and height. ************** Graph each parabola. y = -1/3*(x^2) + 5 ************** Find the vertex and intercept for each parabola. g(x) = x^2 +x-6 **

Word Problems and Quadratic equations and inequalities

Solve each equation: 1) 2y^2 - 3y -6 = 0 2) (x-10)(x-2) = -20 Find all real or imaginary solutions for each equation: 1) W^2=-225 2) 3v^2+4v-1=0 3) sqrt (7x+29) = x+3 Word Problem Time to Swing. The period T (time in seconds for one complete cycle) of simple pendulum is related to the length L (in feet) o

A vendor sells hot dogs and bags of potato chips.

Please see attached file for full problem description. A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs and 4 bags of potato chips for $10.25. Another customer buys 5 hot dogs and 3 bags of potato chips for $12.50. Find the cost of each item. $ 1.25 for a hot dog; $ 1.75 for a bag of potato ch

Solving Equations and Word Problems

Please see attached file for full problem description. Please show me how to get solution for problems. 1. 2. Winston can mow his dad's lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone? 3. Solve equation f

Basic Algebra Problems - What is the place value of 5?

I need help in completing the following exercises. I need to use the Equation Editor in Microsoft® Word to do these problems, then submit a Word document, showing the work and answers. (problems will be used as guide for problems I must complete on asignment) Please see attached file for full problem description. For the de

Step by Step Algebra Solutions

Solve 2(x-4)=2[x-3(x-1)+2] Solve x-2 - x+5 =5x-2 3 6 9 The cell phone service for the CEO of a small company is $39.99 a month plus $0.10 per minute for long distance. In a month when the company's phone bill was $75.19, how many minutes of long distance did the CEO use? Set up an equation a

Basic Algebra Simplest Form

Please see the attached file for the fully formatted problems. Name: __________________________ Date: _____________ 1. Write in simplest form. 2. Simplify. 3. Multiply. 4. Solve. 5. Add. Express your answer in simplest form. 6. What values for x must be


Please see the attached file for the fully formatted problems. Problem #6 Write the following geometric expression using the given symbol. times pi times the cube of the radius (r) Problem #7 Do you think multiplication is distributive over subtraction? ½ (16 - 10) and ½ x 16 - ½ x 1

Algebra Compound Fractions in Lowest Terms

2. Write in lowest terms 3. Express compound fraction in lowest terms 4. Write as a single rational expression 5. Add and simplify 6. Reduce to lowest terms 7. Reduce rational expression to lowest terms 8. Solve for z 9. Solve all values of w 10.

Solving Equations and Inequalities

1. Solve for X: 12 - 3(x+1) = x+17 The value of x is a. A number less than -2 b. At least -2 but less than 0 c. At least 0 but less than 2 d. At least 2 but less than 4 e. At least 4 2. Solve for P: 7(3P+4) = 8(2P+5) + 13 The value of P is a. a number less than 0 b. at least 0 but less than 3 c. at least 3 bu

Algebra Word Problems and Questions

Please see attached file for full problem description. Please show all work when solving the two problems. 1. Why bother factoring a quadratic equation before you solve it? 2. Why are there usually two solutions in a quadratic equation? 3. Under what conditions would one or more solutions of a rational equation be un

Word Problems with formulations and calculations

I need the following word problems answered and explained with formulations and calculations. Solve each inequality. State the solution set in interval notation and sketch its graph. -3/5<1/5-2/15w<-1/3 -3<or equal x <or equal -1= Solve by using an inequality. 1. Car Selling. Ronald wants to sell his car through

Amount of concentration in chemicals

Chandra has 5 liters of a 24% solution of sodium hydroxide in a container. What is the amount and concentration of sodium hydroxide solution she must add to this in order to end up with 8 liters of 27% solution?

review of factoring method

See attached file for full problem description. Factor 1. 2x^2 -19x +25 2. 60w^3 + 85w^2 -25w 3. 125 + 27z^3 4. Find the least common multiple of the two expressions: 9t^3wy and 5t^4w 5. Factor: uw - 6z - wz + 6u 6. Factor: -2x +wx - 4w +2w^2 7. Factor quadratic expression: t^2 +10

Logarithms and Simultaneous Equations

1. Given that x and y are both positive, solve the simultaneous equations log(xy) =7 log(x/y) =1 Answers given: x = 10000 y = 1000 2. log (p - q +1) =0 log (pq) + 1 = 0 Show that p = q = 1/square root 10 3. Solve the following equation for x: 2^2x + 1

Solving Radical Equations

Please see attached file for full problem description. 1. Evaluate , if possible. 2. Use a calculator to approximate to the nearest hundredth. 3. Simplify. 4. Simplify. 5. Simplify. Assume x represents a positive number. 6. Simplify. 7. Simplify. 8. Simplify. 9. Simplify.

Abstract Algebra : Equivalence Relations

Please help with the following problem. A relation R is defined on the set Z of all integers. In each case, prove that R is an equivalence relation. Find the distinct equivalence classes of R and list at least four members of each. 1- xRy if and only if x^2+y^2 is a multiple of 2. **Write x^2+y^2 as (x+y)^2-2xy 2- x

Word problems with time and distance

1. Calculate distance in inches that a bicyclist travelling 35 mph moves in 1/125 of a second? 2. Notice the bicyclist is riding along a white line. Suppose the length of this white line captured in a photograph is 14 ft. Use proportions to calculate the distance the bicyclist will appear to move in a photograph of this sc