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# Basic Algebra

Section 5.1: Exercises 40, 68, and 72 Section 5.2: Exercises 16, 62, and 80 Section 5.3: Exercises 58, 64, and 102 Section 5.4: Exercises 18, 26, 38, and 88 Section 5.5: Exercises 36, 44, 66, 72, and 82 Section 5.6: Exercises 18, 32, 54, 58, 66, 98, 100, and 104 98.Avoiding a collusion 100. Winter wheat 104. Venture capi

### 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

### Solving Quadratic Equations and Completing the Square

What is the quadratic equation? Explain where the quadratic equation comes from. In particular, how is the quadratic equation related to the process of completing the square?

### 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

### Ito's formula and Ito's isometry

Hi, I have a question about martingale with respect to Brownian motion process, and I am looking for a detailed explanation. Thank you.

### 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) (__,__)

### Total Distance of Trip

A driver makes a 126 mile trip from Phoenix to Tucson with the cruise control set at either 55 mph or 75 mph the whole way. If the trip took 2 hours, how long did the driver travel at 55 mph? ____Hours