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    Basic Algebra

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    Basic Algebra

    1.) 2(a-4)+4=5(9-a) 2.) t-5x=4x 3.) Fill in the table using the given formula (solve for Y) y=-5x+10 __X__Y_ -1 0 1 2 3 4.) Even Integers. Find two consecuitive integers that have a sum of 450. 5.) Determine whether the given number is a solution to the inequality following it. 0,4x+9 i

    Solve the following algebraically.

    1) Solve the following algebraically. You must show all your work. 2) Solve algebraically and check your potential solutions: sqrt(x +20) -x = 0 3) a) Show the steps that you would take to solve the following algebraically: b) What potential solution did you obtain? Explain why this is this not a solution. 4) For the

    Graphing of Exponential Functions

    I have the graphs, I just have questions. I don't understand how these graphs were formed. Please explain how this is done. Where do the lines intersect? Aren't there coordinates? 1. f(x)=6x 2. f(x)=3x - 2 3. f(x)=(1/2)x 4. f(x)= log2x. See the attached file.

    Graphs of Exponential and Logarithmic Functions

    Plot the graphs of the following and identify the graph that represents the cooresponding functions and justify your answer. Thank you! 1) y=2^x 2) y=log 2x (the 2 is subscript) 3) f(x)=6^x 4) f(x)=3^x-2 5) f(x)=(1/2)^x

    Inequalities, Cross Multiplication and Multiplying

    1) If a < b, then -a > -b Why? 2) What role of operations that applies when you are solving an equation does not apply when you are solving an inequality? 3) What is the inherent meaning and justification of cross-multiplication as it applies to solving an inequality? 4) What is different abou

    Solving the Equations

    1. Determine if the number in the box is a solution of the equation. 1/2x+5=5+1/4x; I3I a. Yes b.No 2. Solve the equation:y - (5 - 3y) = 7(y - 3) - 3 a. 1/9 b. 19/3 c. -29/11 d. An identity 3. Solve the equation. 0.06P + 0.08(2000 - P) = 60 a. 106.38

    Evaluate functions

    Evaluate the functions for the value of x given as 1,2,4,8,and 16. Describe the difference in the rate at which each function changes with increasing value of x; rank the function from fastest-growing to slowest-growing? 1) f(x)=3x+2 2) f(x)=x^2+5x+6 3) f(x)=x^3+3x^2+2x+1 4) f(x)=e^x 5) f(x)=log x

    Solve the following

    Determine whether the following equations have a solution or not? Justify your answer. Problem:1. Determine whether the following equations have a solution or not? Justify your answer. a) 5x2 + 8x + 7 = 0 b) (7)1/2y2 - 6y - 13(7)1/2 = 0 c) 2x2 + x - 1 = 0 d) 4/3x2 - ...there is moreshow problem1. Determine whether the fo

    Practical application of quadratic equations:

    1) A business invests $10,000.00 in a savings account for 2 years, At the beginning of the second year, an additional $3500.00 is invested, At the end of the second year, the account balance is $15,569.75. What is the annual interest rate? 2) Rita rows 12km upstream and 12km downstream in 3 hours, The speed of her boat in

    A Discussion On Quadratic Equations Word Problems

    Some students planned a get together, the budget for food was $500.00. Five of the students failed to come because of the distance ad therefore the cost of food for each member increased by $5.00. How many students attended the get together?

    Algebra problems:

    1. A person with no more the $2000 to invest plans to place the money in two investments, telecommunications investment and pharmaceuticals. the telecommunications investment is to be no more than 4 times the pharmaceuticals investment. Write a system of inequalities to describe the situation. Let x = amount to be invested in te

    Finding Square Roots

    In the simplest way possible can some one provide me with the steps to find the square root of a number like 11.0554 that is not a perfect square.

    Apply the Discriminant, Quadratic Equations and Their Applications

    Determine whether the following equations have a solution or not? Apply the discriminant, are the solutions real, repeated real, or complex? Steve traveled 200 mile at a certain speed, had he gone 10 mph faster, the trip would have taken one hour less, find the speed of his vehicle?

    Quadratic Equations and Negative Discrimants

    What type of solution do you get for a quadratic equation where D<0? Give reasons for your answers also provide an example of such a quadratic equation and find the solution of the equation.

    Solving Equations

    Please see the attached file for the fully formatted problems. 1. The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the volume is 800 cm3. Round the answer to three decimal places. Answer: Show your work here: a) Show the steps that you would take

    Radical and Exponential Equations

    Please see the attached file for the fully formatted problems. 1. 2. 3. 4. Solve algebraically and check your potential solutions: 5 Suppose that N= models the number of cases of an infection, in millions, of a disease x years from now. a) Approximately how many cases of the infection will there

    Congruence of Integers (Prove)

    Prove the following: Prove that if m is an integer, then either m^2 = 0 ( mod 4) or m^2 =1 (mod 4). Hint: Consider that cases where m is even and where m is odd

    Modeling Data: Polynomial and Rational Functions

    * Create a set of data that can be modeled as a polynomial function. * Please provide a reference to the data. Plot the data using Microsoft Excel including the equation for the fit. * Discuss how closely the data seem to match to the best fit line What type of information can you use for this that you could find in an ev

    Coefficients of Quadratic Equations

    Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as: Integers Rational numbers Irrational numbers Do you find any striking difference between the graphical representation of quadratic equations and linear equations? Explain the differences and comment on the responses posted

    various problems on algebra and geometry

    I need help in completing the following exercises. I need to use the Equation Editor in Microsoft® Word to do these problems, then submit a Word document, showing the work and answers. Attached you will find the problems to be completed. Please help me by actually working the problems with microsoft Equation Editor & replying

    Quadratic Equations Word Problem: Completing the Square

    Exercise given in textbook: A farmer has 40m of fencing with which to enclose a rectangular pen.Given that the pen is x m wide - show that it's area is (20x - x^2)m^2 and deduce that the maximum area that he can enclose (Answer given 100m^2). I have completed lots and lots of exercises involving completing the squar