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Basic Algebra

Algeraic Word Problem

I need this explained to me as it would be explained to the grade level it would originally be taught to. I basically checked out of math in 4th grade and now I need it! Q. Two houses are for sale on the same street. The second house has 1,000 square feet less than twice the square feet of the first house. Together the houses

Write and simplify an inequality

The college has decided to reward our hardworking Math Hub staff with their own break area. They have located a room on the first floor of the 7000 building connected to its own circuit breaker rated at 20 Amps of current. For safety reasons, the hub staff is asked not to exceed 80% of the current rating. The college will pro

Methods of Solving Quadratic Equations

1. There are four different methods to solve quadratic equations. (a) List all 4 methods. (b) Explain and give an example of 3 of those methods. (c) Explain which method is preferred and why. 2. Solve the following problems. a) Solve by using the even-root property. 3x - 5 = 16 b) Solve by using the follo

Using mathematical induction for proof

The question is below: Use mathematical unduction to prove the squared version of: 1 + 2 + 3 + ... + n = n(n+1) / 2 which is 1^2 + 2^2 + ... + n^2 = [n(n+1)(2n+1)] / 6

compound inequality expressions

(1) Does x = -5 satisfy the following compound inequality? 4 > -2(x+8) >= -6 AND 4 < 3x + 10 < 19 (2) Simplify the following compound inequality and express the result using interval notation: 7 < 3(x+2) + 10 < 25 AND 8 > 10 - 2x > 0 (3) Solve for x: | x - 1/4 | =

Solutions of Quadratic Equations

1.Determine the number of solutions and classify the type of solutions for each of the following equations. Justify your answer. a)x^2 + 3x - 15 = 0 b)x^2 + x + 4 = 0 c) x^2 - 4x - 7 = 0 d)x^2 - 8x + 16 = 0 e)2x^2 - 3x + 7 = 0 f)x^2 - 4x - 77 = 0 g)3x^2 - 7x + 6 = 0 h)4x^2 + 16x + 16 = 0 2.Find an equatio

Please see attachment for instructions

1. Evaluate: + 3 2 2. Simplify the following expression: -3(-2x - w) +3(4w - 5x) 3. The surface area of S of a right prism is given by: S = 2B + Ph, Where B is the area of the base, P is the perimeter of the base, and h is the height of the prism. Solve for P. 4. Solve the following equation for

ALGEBRA HOMEWORK

Please see attached for the full details of the problems: WEEK 2 DQ 1 1. When simplifying like terms, how do you determine the like terms? 2. How do you determine the common factors in an expression? 3. What is factoring by grouping? When factoring a trinomial by grouping, why is it necessary to write the t

Computing an Electrician's Earnings

For a recent job, an electrician earned $50 per hour, and the electrician's apprentice earned $20 per hour. The electrician worked 4 hours more than the apprentice, and together they earned a total of $550. How much money did each person earn?

Amount of cashews word problem

A nut wholesaler sells a mix of peanuts and cashews. The wholesaler charges $2.80 per pound for peanuts and $5.30 per pound for cashews. The mix is to sell for $3.30 per pound. How many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix?

Algebra - Construct an Equation and Graph it

One way rental of yellow truck company of a 15ft truck at $45 per day and .37 cents per mile for every mile driven over 500. Round trip for same truck is $30 per day and .10 cents per mile driven over 250. Gray truck companu rents a 14ft truck at $40 per day, .18 cents per mile ove 300. Round trip for same truck is $20 per day

Employing the quadratic equation

? Simplify radical expressions. ? Perform operations with radical expressions. ? Solve radical equations. ? Solve a quadratic equation using the quadratic formula

Are low math scores being affected by the use of manupulatives?

A. Problem Statement 1. Are low math scores being affected by the use of manupulatives? Are Algebra Tiles effective for raising TAKS Math scores in High School students? 2. Describe at least three symptoms of the problem or pieces of evidence that illuminate the problem above. B. Literature Search: Find materials relevant

Algebra word problems

Environmental and wildlife preservation ensures future generations will have available resources and can enjoy the beauty of Earth. On the other hand, some of the damage humans have already done to the environment is expensive and time consuming to eradicate. Application Practice Answer the following questions. Use Equati

Algebra Homework

Please see attached document for the complete details of the problem. SECTION 4.1 The power of the power rule: # 50 The power of a Quotient rule: # 66 Simplify, all variables represent nonzero real numbers: #72 SECTION 4.2 Negative Integral Exponents: #26 The rules of Integra

Quadratic Equation Word Problems

1. A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet? 2. A business invests $8,000 in a savings account for two years. At the beginning of the second year, an additional $2,500 is

Quadratic discriminant

1. What is the discriminant? When do you use quadratic formula to solve a quadratic equation? 2. What square root property is essential to solve any radical equation involving square root? 3. Solve the equation x^2+8x-2=0 using both (a) the quadratic formula (b) completing the square (c) prepare a paragraph or two comp

Algebra - Solving Quadratic Equations

A. Solve the equation x^2 + 8x - 2 = 0 using both the quadratic formula and by completing the square. B. Briefly compare and contrast the two methods. Please show all work and be as detailed as possible.

Primitive root and its residue set

I need help with this problem. It has two parts a) and b). (a) Show that if m is a number having primitive roots, then the product of the positive integers less than or equal to m and relatively prime to is congruent to -1(mod m). (b) Show that the result in (a) is not always true if m does not have primitive roots.

Expressions and Equations

See attachment for complete formulas Section 9.1: Use the product rule to simplify. All variables represent nonnegative real numbers. 64. Section 9.2: Evaluate each expression. 38. 25 Section 9.3: Simplify each expression. 88. Section 9.4 - Divide and Simplify 30. Section 9.5: Sol

Practice work Sheet Math 209

Practice Worksheet Week2 Chapter 5 Section 5.2 Factor each polynomial completely. 62. x3 2x2 y2 + xy3 Section 5.4 Factor each trinomial using the ac method. 38. Section 5.5 Factor each polynomial completely 66. 72. Section 5.6 Solve each equation 58. 66. Solve each problem. 98. Avoiding a col

Diagonal brace, foul ball and sharing costs

1.Diagonal brace. The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures square root 6 m. Find the width and height. 2.Foul ball. Suppose Charlie O'Brian of the Braves hits a baseball straight upward at 150 ft/sec from a height of 5 ft. a) Use the formula to determine how lon

Fundamental Operations on Polynomials and Factoring

A.Find p(x) + 3q(x) p(x) = 2x^4 + 15x^3 - 10x^2 + 14 q(x) = 35x^4 - 16x^2 + x - 11 b.Find P(-1/2) if P(x) = 4x^4 -2x^3 + 17 c.Simplify: (-3x + 4x^2 + 6x^3) - (4 - x + 2x^3) - (-6x^2 + y) d.Add: (10x^2 + 3y^2 - 6z^2 + xy + 4yz + 2xz) + (2x^2 - y^2 + 5z^2 - 2xy + 7yz - 3xz) e.Multiply: (2x - 3y)^2 f.Multiply:

Algebra Word Problems: Fishing, Box and Painting Example

1. Gone fishing. Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water? t=d/r x=rate of boat 2. Open-top box. Thomas is going to make an open-top box by cutting equal squares fr

Several algebra problems explained in this solution

1) Find the domain of the following: a) Answer: b) Answer: Explain how you obtained your answer here: c) Answer: Show your work or explain how you obtained your answer here: d) Answer: Explain how you obtained your answer here: 2) Describe the transformations on the following graph o

Algebra: graph plotting

Hi. I've been given a table of data with the following columns: Date Time (hours) Rainfall(mm) In each column, values have been given. The first question that is required of me is to plot rainfall intensity (mm/h) against time in hourly steps. I think this is pretty straight forward. The second q

Determining Reconciled Balance: Example Problem

The December 31 checkbook balance of the Advance Co. was $5,691.99. The ending bank statement balance was 4,890.18. Checks in the amount of $691.50 were outstanding. The statement failed to reflect a deposit in the amount of $1,433.84. The monthly service charge was $37.65. The bank paid interest on their average

Reconciled balance banking

The bank statement for Burton Co. revealed a balance of $1,475.00 while the checkbook balance showed a balance of $1,822.00. Outstanding checks totaled $185.00. A check printing charge of $35.00 appeared on the bank statement. There was a $76.00 NSF check reported on the bank's statement. A deposit in the amount of $735.00 w