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Basic Algebra

College Algebra

Please see attachment and show work 28. Solve each logarithmic equation. 48. On December 26, 2004, the third largest earth quake ever recorded struck in the Indian Ocean with a magnitude of 9.1 on the Richter scale. The resulting tsunami killed an estimated 229,900 people in several countries. Express this readi

Several algebra problems

Problem #1. Solve each equation show your work and check your answers. 0.6 = ─ 1.2 + X Problem # 2 ─ ỵ = ─ ⅓ Equations of the Form axb0 Solve each equation. Show your work and check your answer Problem # 3 ─ 1 ∕ 7z ─ 5 = 0 Equations of the Fo

Solving Quadratic Equations by Completing the Square

An interesting method for solving quadratic equations came from India. The steps are: (a) Move the constant term to the right side of the equation (b) Multiply each term in the equation by four times the coefficient of the x2 term. (c) Square the coefficient of the original x term and add it to both sides of the equation. (d


? Demonstrate that factoring a polynomial is the reverse of multiplying a polynomial. ? Use greatest common factor (GCF) to factor monomials out of quadratic trinomials. ? Factor single-variable polynomials by grouping. ? Factor quadratic trinomials. ? Factor multivariate polynomials by grouping. ? Factor differences of squ


The picture is just of a square 3/4 of the square is shaded if I can get help with that information thank you you will not be able to see the picture of the square. 1. Area of a square. Find a polynomial A(x) that represents the area of the shaded region in the accompanying figure. ------------------X--------------------

Equations and Inequalities..

Please show all steps of your solution must be shown and a few words to explain what you did to solve the problem. For instance, if lowest common denominators are required show how you determined the value of the LCD. If factors are removed, show the value of the total factor removed. Please do not just supply an answer. 1

exponential form, polynomial, asymptote

(a) = _______ (fill in the blank) (b) Let . Write the exponential form of the equation and solve the equation for x. A farmer has 60 feet of fencing with which to enclose a rectangular pen adjacent to a long existing wall. He will use the wall for one side and the available fencing for the remaining thr

Help with this table

Help with this table. 1) Consider a firm that has just built a plant, which cost $20,000. Each worker costs $5.00 per hour. Based on this information, fill in the table below. Number of Worker Hours Output Marginal Product Fixed Cost Variable Cost Total Cost Marginal Cost Average Variable Cost Average

Basic Algebra

Problem Remember to simplify all answers 1. a) Give the place value of 9 in 4,938,300. b) Give the place value of 7 in 54,763 2. a) Name the property of addition that is illustrated. 4 +15 = 15 +4 b) Name the property of multiplication that is illustrated. 6 x 5 = 5 x 6

Algebra - Inverses, Domains and Composition of Functions

Use a calculator (standard scientific calculator or an online graphing calculator) to find each of the following numerical values. Write your answer rounded to 2 decimal places (i.e., the nearest hundredth). (a) 4 -1.2 (b) e 5.76 Use composition of functions to show that the functions f(x) = 5x - 2 and are i

College Algebra polynomial functions

Please show work for each! 54. Find the polynomial function of degree 3 with real coefficients that satisfies the given conditions. Zero of 4 having multiplicity 2 and zero of 2 having multiplicity 1; f(1) = -18 48. Use the intermediate value theorem for polynomials. 1 and 2 58. Show that the real zeros of each

Finding domain, compound interest and log

Please see the attachment. 1) Find the domain of the following: a) g(x) = 5^x b) g(x) = ln(x-4) c) g(t) = log(t+2) d) f(t) = 5.5e^t 2) Describe the transformations on the following graph of f(x) = e^x. State the placement of the horizontal asymptote and y-intercept after the transformation. For example, le

Variables represent positive real numbers

Write the following expression in simplified radical form. Assume that all variables represent positive real numbers Simplify the following expression as much as possible: Assume that all variables represent positive real numbers. Simplify. Assume that all variables represent positive real numbers. S

Radical Equations and Population Growth... (See attached file)

III. Growth Modeled by a Radical Equation: (See attached file) Suppose instead that the town experiences growth that can be modeled by the following: where t is the number of years from 2010. a) Insert the value of that your group has decided upon into the equation above. Use the Equation Editor or type square root o

Algebra : Graphs, Interest and Basic Statistics

Please show me how you do this I am so unsure of the processes and want to make sure I know what I am doing. 1. Mr. Knight owned of a family business. He sold of the business to his sister. What portion of the business does he still own? 2. Rocco scored 81, 89, 68, 92, and 77 on his mathematics quizzes. Round each s

Factoring Polynomials (28 problems)

Find the greatest common factor for each group of monomials. 1.) 16x^2z, 40xz^2, 72z^3 Factor out the GCF in each expression. 2.) 15x^2y^2 - 9xy^2 + 6x^2y Factor out the GCF in each expression. 3.) a (a+1) -3 (a+1) Factor each polynomial. 4.) 9a^2 - 64b^2 Factor e

Soving Equations with Inequality

See the attached file. Solve using the addition and Multiplication principle; 1. 9x-6<-33 2. A car rents for $50 per day plus 20 cents per mile; You are on a daily budget of $88. What mileage will allow you to stay within your budget? The solution is {m l m < ? } 3. The formula R = - 0.075t + 3.85 can be used to pr

Synthetic Division, Rational Zero Theorem, Domain and Asymptotes

Please help me with the attached problems by explaining how to solve them. Use synthetic division to divide the polynomial 4x3 + 10x2 - 11 by x + 3, and state the quotient polynomial and the remainder. [Be careful - notice that there is no x term.]. Show work. Consider the polynomial f(x) = 5x3 - 9x2 - 17x - 3. (a) By u

logarithm and exponential function

Just want to check answers. 1. Write the expression as the logarithm of a single number or expression with a coefficient of 1. Assume all variables represent positive numbers. log 30 - log 6 A) log 11 B) log 5 C) log 24 D) log 2. Find the value of the expression. log10 10 A) 1 B) -1 C) 0 D) 10

Factoring and Graphing Equations

Please help me solve the problems in the attached practice work. 1) Solve the following by factoring: a) 5t^2 - 10t = 0 b) x^2 - 3x - 10 = 0 2) If f(x) = 3x^2 + 5x - 2, find: a) f(-2) b) f(4) 3) Solve 3x^2 + 19x - 14 = 0 using the quadratic formula. Read the information in the assignment list to learn more ab

Important information about rational and radical expressions

See attached Week4: Class work: Radicals and Rational Exponents 1. Square root of a rational perfect square. Be sure to write your answer in lowest terms and simplify. 2. Square root simplification. Rewrite the following in simplified radical form. 3. Simplifying a radical expression: Problem type 1. Assume th

Argue that m x m is Not Equal to m + m

Here is what I have can you add anything to help this out? You want to show that if m is a natural number (0, 1, 2, 3, ...), then m x m is not equal to m + m. You can do this simply by showing that it is not in at least one case (because if it's not true for at least one natural number, then it's not true for natural numbers

Polynomial Study Guide

See attached document Section 5.1 # 40 Find the greatest common factor for the group of monomials 16x2z, 49xz2, 72z3 #72 Factor out the GCF in each expression. a(a+1) - 3(a+1) Section 5.2 #16 Factor the polynomial. 9a2 - 64b2 #80 Use grouping to factor the polynomial completely. x3 + ax + 3a + 3x2 Section 5.3 #

Mathematical expression similar to a fragment of a sentence

Below are examples expressions for a variable. I need to explain my problem and answer just like the examples below, please give me a few problems to explain just like the samples below thanks... A mathematical expression is similar to a phrase or fragment of a sentence. An expression has no subject and no verb or relatio

Algebraic Expressions and Variable Solution

Equation is a statement asserting the equality of two expressions; they are constructed from algebraic expressions. They are separated into left and right sides and joined by an equal sign. Expression is a group of letters that are used for numbers. Equation 820 + Y - 820 = 1820 - 820 Expression A x 12

Few quest functions and math

Let K be a field. (All of this works just as well for a division ring.) Let V be an n-dimensional vector space over K and let A = EndK(V), the ring of n n matrices over K. The ring A is clearly Artinian since it has finite dimension over K. We need to see that the 2-sided ideals are either (0) or A. 1. Let W be a subs

Algebra - Systems of Equations - Word Problems

The table below is based on surveys of double-income families and the percent of men and women in these families who said they had the greater responsibility for various areas of the housework. In the category of paying bills, a total of 98% of this responsibility was taken on by either women or men. (One can surmise that in 2%

Find the Domain of Each Rational Expression

Find the domain of each rational expression. 28. x^2 - 3 over x + 9 Reduce each expression to lowest terms. 73. 3a - 2b over 2b - 3a Perform the indicated operation. 26. b^3 + b over 5 * 10 over b^2 + b 52. (6y2 - y - 2) / 2y + 1 over 3y - 2 Find the LCD for the given rational expressions, and convert each rational