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Basic Algebra

Square Root and Pythagorean Theorem Problems

102. (-2x - 8)/(x^2 + 2x - 8) 20. (-7yt)/3x = ?/18xyt 66. 4/(x - y), 5x/(2y - 2x) 12. - sqrt(25) 26. sqrt(y^36) 36. sqrt(16n) 64. sqrt(12x^8) 84. The third root of (-27y^36 / 1000) 22. (-16)^1/4 38. 25^(-3/2) 104. (-27x^9)^1/3 6. sqrt(5) - s(sqrt(5)) 36. (3sqrt(2))(-4(sqrt(10)) 88. sqrt(2t^

Algebra for College Students

1. An icecream store sells two drinks (sodas or milk shakes) in four sizes (small, medium, large or jumbo) and five flavors (vanilla, strawberry, chocolate, coffee or pistachio). In how many ways can a customer order a drink? 2. A club with tem members is to choose three officers - president, vice-president and secretary trea

Word Problem

While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square

Algebra: Simplification and Identification

1.Multiply. Write your answer in lowest terms. 2. Multiply and simplify: 3. Divide. Write your answer in lowest terms. 4. Simplify. Question #5/19 Simplify as much as possible . 6. Subtract. Write your answer in lowest terms. Question #7/19 Express as a single fraction in lowest terms: Question #8/19 Sub

Show relational algebra expressions for given requirements.

Show relational algebra expressions for: a. The names of all salespeople. b. The names of all salespeople having an ORDER row. c. The names of salespeople not having an ORDER row. d. The names of salespeople having an order with Abernathy Construction. e. The salaries of salespeople having an order with Abernathy Constru

Logarithm

The half-life of the adioactive element Krypton-91 is 10 seconds. If 16 grams of Krypton-91 are initially present, how many grams are present after 10 seconds? 20 seconds? 30 seconds? 40 seconds? 50 seconds? Use the exponential growth model A = A0e^(kt) to show that the time it takes a population to double (to grow fom

Using the Master Theorem

This problem stems from the Master Theorem. I have a sample problem with a solution but it does not show me the steps to reduce the problem algebraically and I don't see how they got to the solution. The problem is: T(n) = 6T(n/5) + n^2 -8n + 3 Using the Master Theorem this problem falls under case 3 in which we have to

Company's Balance Sheet - Retained Earnings

A company's balance sheet for 1999 showed a balance of retained earnings of 510 million. On the 2000 balance sheet the balance showed retained earnings of 510 million. Why is the balance the same and what calculation do you use to show why?

price per viewable image area

An advertisement for LED HDTVs lists the following prices for their different sizes (all have the same aspect ratio 9:16): 22-inch $ 247.99 42-inch $ 1,299.99 46-inch $ 1,449.99 52-inch $ 1,799.99 55-inch $ 1,999.0 Rearrange this list in terms of the price per viewable image area ( $/in2 ) The Green people of planet Xy

Earned Value.

Use the data from problem 3 to randomly pick 10 days of sales. as you would in a simulation. What is the EV and standard deviation for Burger Sales? Daily Burger Sales Probability 500 0.15 700 0.25 800 0.4 1000 0.2

Monomials, Binomial and Trinomial Multiplying

1. FOIL is an acronym designed to help you multiply binomials, not monomials or trinomials. Do you think that you could create an acronym (it will have more than 4 letters) to help you multiply a binomial and a trinomial? Illustrate your method by multiplying (x + 2) times (x2 â?" 3x + 4), showing all steps. 2. Take a numb

Graphing and Algebra Word Problems

1. Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $30 one time activation fee and charges 8 cents a minute. The second plan has no activation fee and charges 13 cents a minute. After how many minutes of long distance calls will the cost of the two plans be equal i

Determining Velocity and Distance using Algebra

1) A ball is hit into the air. Its height, s, at time t, is given by the equation s(t)=-16t^2+74t+4. Determine the maximum height of the ball. Round to the nearest foot. _________feet 2) Solve for x: 2^5x-4=3^7x+4 Round to the nearest 0.001. x=________ 3) The population of New York City was 8 million people in the y

Algebra: Logarithmic and Exponential Equations

1) Given A=Pe^rt, with A = 455, P = 5, and r = 0.61, solve for t. Round to the nearest 0.01. t=__________ 2) Solve for r: 8(3^r+1)+4=20 Round to the nearest 0.001. r=__________ 3) Solve for x: 2^5x-4=3^7x+4 Round to the nearest 0.001. x=________ 4) Solve for x: log_7(4x-16)=3 Give an exact answer. _______

Solving Basic Algebra Questions

1) The spread of a virus in an isolated community is modeled by N(t)=1100/1+49e^-0.3t, where N(t) is the number of people infected after t days. a) Approximately how many people will be infected in 16 days? ___________ b) How long until 900 people have been infected? Round to the nearest day. _________days 2) Solve

Calculating Solutions: Algebra Example Questions

1) Given A=Pe^rt, with A = 455, P = 5, and r = 0.61, solve for t. Round to the nearest 0.01. t=__________ 2) Solve for r: 8(3^r+1)+4=20 Round to the nearest 0.001. r=__________ 3) Solve for z: 2log_2(5+2z)=16 Round to the nearest 0.01. z=__________ 4) An investment offers 4.5% interest compounded continuously.

Odd Degree Polynomials

1) Find the remainder when x^3+2x^2+5 is divided by x+2. __________ 2) The spread of a virus in an isolated community is modeled by N(t)=1100/1+49e^-0.3t, where N(t) is the number of people infected after t days. a) Approximately how many people will be infected in 16 days? ___________ 3) A ball is hit into the ai

Algebra and Functions with Domain and Range

1) Given the function f(x)=sqrt(x+8), find the DOMAIN of the inverse function, f^-1(x). a) [0,â??) b) (-â??, 0] 2) Suppose that a person x inches tall sprains an ankle. An approximation for the length of a crutch (in inches) that a person might need is given by the function f(x)=19/26x+2. Find and interpret

Horizontal Asymptote Intercepts

1) Which of the following is/are TRUE about the graph of y=6e^x ? Select all that apply. a) It has a range of (6, -â??) b) It has a horizontal asymptote of y=0 c) It has both an x-intercept and a y-intercept 2) The temperature, in degrees Fahrenheit, of a cup of coffee can be expressed by T(t)=80+105e^-0.045t, where t is

Quotient, remainder and polynomial equation

1)Find the quotient,q(x) , and the remainder,r(x) , when 5x^3-20x^2+23x-5 is divided by x^2-3x+3. q(x)= r(x)= 2)Find the remainder when x^3-3x^2-6 is divided by x-3. 3)Solve the polynomial equation x^3-2x^2+3x-6=0 given that x=2 is one solution. The SUM of all the real solutions is_______

real solutions of the equation

1)Determine if the following statements are true or false: (1) If (3,0) is an x-intercept of f(x), then (x+3) is a factor of f(x). (2) If f(x) is a polynomial and f(9)=0 , then -9 is a zero of f(x). a)1 is true, 2 is false b)They are both false c)1 is false, 2 is true d)They are both true 2) Given that 3x

Algebra To Find a Quotient and Remainder

1) Find the quotient,q(x), and the remainder,r(x), when 3x^3+9x^2-16x-51 is divided by x^2+5x+7. q(x)= r(x)= 2) Solve: x^3-1/2x^2+4/3=11/3x^2-2/3x+4/3 The smallest zero is ________ The largest zero is _________ 3) Given that 3x-2 is a factor of 3x^3-2x^2-15x+10, select all of the following that are real solution

Polynomial Function Factored Completely

1) Factor completely: f(x)=x^3-3x^2-4x+12 _______________ 2) Find the remainder when x^3+2x^2+5 is divided by x-2. _______________ 3) Find an equation for a polynomial function, f(x) , of degree 3 with zeros 0, 1, -2. a) f(x)=x^3+x^2-2x b)f(x)=2x^3-3x^2+5x c)f(x)=x^3-5x^2+x d)f(x)=-2x^3+5x^2-3x

polynomial equations.

1). Find the quotient, q(x) , and remainder, r(x) , when x^6-2x^5+4x^3-x+1 is divided by x+1. a) q(x)=x^5-3x^4+3x^3+x^2-x, and r(x)=1 b) q(x)=x^5-x^4-x^3+3x^2+3x-2, and r(x)=-1 c) q(x)=x^5-3x^4+7x^3-8x^2+9, and r(x)=1 d) q(x)=x^5-x^4+3x^3+2x^2+3,and r(x)=-1 2)How do the zeros of g(x)=4x^4-2x^3+3x^2-4x-12 compare to the

Expressions

Buying a Home For most people, buying a house is a great investment that can offer security in an uncertain world, but buying a house is also a commitment. Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive b

Algebra .

1) Which of the following is/are TRUE for the graph of EVERY polynomial function? It must have either a minimum or a maximum value It must be continuous It must have a y-intercept It must have at least one x-intercept 2) Which of the following are odd degree polynomials? x(x-4)^2-11 x^3+x^2-4 (x^2+2)^5+2x x^5+x^7

The maximum dosage of a drug

1) A ball is hit into the air. Its height, s, at time t, is given by the equation s(t)=-16t^2+88t+3 . Determine the maximum height of the ball. Round to the nearest foot. _____feet 2)The maximum dosage of a drug that can be given to an individual is a function of the individual's weight. The following table gives the maximum

Algebra: Word Problems on Fencing

1)A rancher is going to construct a new rectangular pen for his emu farm. If he has 2600 feet of fencing, what is the maximum area of the pen? ____ft^2 2)A farmer is fencing a rectangular pen for his sheep using the straight portion of a river as one side of the rectangle. If the farmer has 1200 feet of fencing, find the d

Quadratic equation in standard form

Please find a quadratic equation in standard form to model the data in the table. x y 3 24 4 14 5 8 6 6 7 8 y= Another problem is A ball is hit into the air. Its height in feet, s, at time t is given by the equation s(t)=-16^2+25t+4. a) Determine the height of the ball after 1 second. The height is ___ feet.

Quadratic Function for Completing the Square

Rewrite the quadratic function y=2x^2+8x-5 in standard form by completing the square. y=_(x+_)^2-_ A quadratic function y=g(x) has x-intercepts at (2,0) and (18,0), and a leading coefficient of -5. Find the vertex of the graph of y=g(x) (__,__)