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Basic Algebra

Factoring help is given.

ection 6.2 Factor the trinomial completely: Questions 66/67 66. 5b3 - 5b2 - 60b (the small numbers indicate to the 3rd and 2nd powers respectively). 70. 6n^4 - 18n^3 + 12n^2 Section 6.3 Questions 56/58 Factor the trinomial completely. 56. 8y3 - 16y 2 + 6y 58. 10y3 + 5y 2 - 5y Section 6.

Problems with three consecutive integers

I need a step by step instruction, in easy to understand terms and not using excel, to the following problem: Find three consecutive integers such that the product of -5 and the sum of the first two is 43 less than twice the second.

Quadratic Equation help

Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing

Euclid's Common Notion 5

Discuss Euclid's Common Notion 5, which states that the whole is greater than the parts, and discuss whether or not it is true.

The algebraic inequality is expressed.

Solve. Please show the algebraic inequality you used and show all of your work. The profit for a company is determined by the equation y = 0.02x â?" 0.30, where y represents the profit and x represents the number of items sold. How many items must be sold so that the profit will be at least $4000?

Mental Math/Associative Property Explained

Need help solving the following problems. Explain how you can find the difference 120-70 using mental math. Then name the difference. Write two equations that prove the Associative Property is not true for subtraction.

Negation Mathematics - Algebraic Number Theory

1. Write the negation of: I will sleep only if I am tired. 2. Write the following sentence in if...then form: I will drive if it is Wednesday. 3. Write the contrapositive of the following statement and simplify: (~ p ^ q ) --> (r V ~ p) PS: ^ = upside down V

Algebra: estimate numbers

Radio Stations The approximate number of radio stations on the air for selected years from 1950 to 2000 is shown in the table. x (year) 1950 1960 1970 y (stations) 2800 4100 6800 x (year) 1980 1990 2000 y (stations) 8600 10,800 12,600 Make a line graph of the data. Be sure to label both axes. Discuss ways to es

Problems in basic algebra

Let u,v <- C^n and set A := I + uv^H <- C^nxn. (a) Suppose A is invertible. Prove that Inverse(A) = I_n + auv^H , for some a <- C. Give an expression for a. (b) For what u and v is A singular? (c) Suppose A is singular. What is the null space of A, N(A) in this case?

determine how much dose a person would receive

Using the following equation: D=4Kr^-2 D=(4K)/r^2 D = 40, r = 7 40 = (4k)/7^2 40*49=4K K = 490 c. Use the value of K you found in the previous question to determine how much dose a person would receive if she were i. 4 feet from the source ii. 12 feet from the source

Solving the Quadratic Equation by Factoring

Explain the four steps used in solving the quadratic equation Given a quadratic equation: ax ² + bx + c Solve the equation for zero by factoring. Four Steps to solve by factoring using the following example y=x2 + 2x + 1, note; a=1, b=2, and c=1

Four Steps for Solving Quadratic Equations

Explain the four steps for solving quadratic equations? Can any of the steps be eliminated? Can any of the steps be changed? Would you add any steps to make it easier, or to make it easier to understand?

Price per square feet is presented in this case.

10. Use the five steps for problem solving to answer the following question. Please show all of your work. The cost to purchase and install carpet in a 15 ft. by 16 ft. rectangular room was more than $6000. What was the price per sq. ft. to buy and install the carpet?

Determining the number of callers

Ashley's Department Store in Kansas City maintains a successful catalog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party t

Statistical Methodologies are examined.

Using the attached: (A) Analyze the output above to determine what percentage of Americans will exercise between 11 and 21 minutes per week. (B) What percentage of Americans will exercise less than 15 minutes? If 1000 Americans were evaluated, how many would you expect to have exercised less than 15 minutes?

Equations about the amount of white paint are examined fully.

Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section? Ricks Paint Store sells a special shade of pink paint (Ricky's Blush) which can be made from red paint and white paint. The amount

Characteristics of an exponential function

Identify the important characteristics of an exponential function. Explain the difference between the graph of an exponential growth function and an exponential decay function and give an example of each type of function.

Proportionality Constant

To estimate gorilla populations, biologists count the total number of gorillas in a small section of their habitat. The total population of gorillas is directly proportional to the size of the habitat (in acres) polled. a.Write an equation that describes the relation between the number of gorillas and the size of their hab

Use algebra to solve these problems about firms' costs and prices.

1. A company has a total cost of $50.00 per unit at a volume of 100,000 units. The variable cost per unit is $20.00. What would the price be if the company expected a volume of 120,000 units and used a markup of 50%? a) $75.00 b) $62.50 c) There is not enough information in the problem to answer d) $67.50 2. Umbrella Co

Annuities are explicated.

Part I. Basic Computations 1. Mike's Sport Shop deposits $3,600 at the end of each year for 12 years at 7% annual interest. a. How much will this ordinary annuity be worth at the end of the 12 years? (5 points) Answer: b. How much more will this annuity be worth (annuity due) if Mike deposits the money at the

This post examines quadratic equations.

Four different methods of solving a quadratic equation have been discussed in this course: factoring, the square root property, completing the square, and the quadratic formula. Explain under what circumstances each method would be preferred over any of the other methods. Give an example for each circumstance.

Apply Law of Addition of Logarithms

Fill in the missing values that make the equations below true: log (base 7) 8 + log (base 7) 9 = log (base 7) ? log (base 2) 3 - log (base 2) ? = log (base 2) 3/5 2log (base 3) 5 = log (base 3) ?

Cubic population model

Consider the cubic population model dN/dt=cN(N-?)(1-N) Where c and ? are given constants, such that c>0 and 0<?<1. Note that the population N is measured in units of thousands. Find and classify the steady states N_1<N_2<N_3 of this equation. If the initial population is N_0 describe, without proof, the future of the p

Algebra Problems to Finding Speed

Please help with answers to the attached question/problems. I need the detail instructions as to how problems are figured out. Section 2.2 Question 58 1/3x + 1/4 =1/6-x Question number 72 5x = 15-2 (x + 7) Section 2.3 Question Number 32 (Word problem) There were 77 birds on the endanger species list in 20

Exercise and Heart Rate Polynomial Problem

** Please see the attached file for the complete problem description ** I need help of Exercise 79. Please look at attachment where I marked the question that I need help. 79. Exercise and Heart Rate The polynomial given by 1.6t^2 -28t + 200 calculates the heart rate shown in Figure 5.4(b) where t represents the elapsed t

Lowest Common Denominator

Provide answers and step by step instructions on the problems: 1. What is the value of "y" for the given value of x and z y= x +z x=3 z=15 2. Rewrite each fraction with the Lowest Common Denominator 4/15, 2/9, 3/5 43/36 + 3/5 + ¼ 3. Order of operations evaluate the following 5 x (3-2) to the 8th

Algebra Questions Velocity

MATH133 Unit 3 - Individual Project 2 Solve algebraically. Trial and error is not an appropriate method of solution. You must show all your work. Learn how to type math roots and fractions by clicking on the link in the assignment list. Alternately, you may type 3x as cuberoot (x) and show raising to the nth power a