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    Algebra

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    Find the dimension

    The length of a rectangular garden is 6 m greater than the width. The area is 72 M*2. Find the dimension of the garden. The width of the garden is __ m The length of the garden is __ m

    Solve

    Solve v*2 - 22v + 21 = 0

    Life Expectancy of Males

    Word problems In 1994, the life expectancy of males in a certain country was 72.4 years. In 2000 it was 74.5. Let E represent the life expectancy in year t and let t represent the number of years since 1994. The linear equation that fits is E(t)= _t + _ please round to the nearest tenth. Then use the equation to predict t

    Solve the equation

    (3x +4) (5x^2 - 29x + 20) = 0 The solution set is {___} Simplify your answer. use a comma to separate answers as needed

    Parabolic arch

    Suppose you wanted to design a parabolic arch (a parabola opening downward) as a trellis in your garden. This would mean that the first term of the quadratic equation, the term with the variable raised to the second power, would have to be negative. An engineering friend suggests that the following quadratic function might be ae

    Maclaurin and Analyticity

    Please show all steps to solution (see attached file). Find the Maclaurin series for...and describe the region of analyticity.

    Equations

    1) Solve the following algebraically. All answers should be written in rational form. a) 3x + 7 = 9 Answer: Show your work here: b)-3(x+5) +3=12 Answer: Show your work here: c) 2/3x+1/6x=2 Answer: Show your work here: d)-2x-4<10 Answer: Show your work here: 2) a)3x+4y=8 Solve for

    Equations

    1.The equation C=mx+b can be used to model the monthly cost, C, of a cell phone plan where b is the flat monthly cost, m represents the cost in dollars per minute and x is the number of minutes used in the month. Choose a flat monthly rate and cost per minute and insert the values you have chosen for m and b into the equation. T

    Rational Equations

    1. Solve 2. Solve 3. Solve 4. Solve the following for x 5. Solve the following equation for the variable 6. Solve 7. Solve 8. Jack usually mows his lawn in 5 hours. Marilyn can mow the same yard in 3 hours. How much time would it take them to mow the lawn together? 9. The speed of a passenger train is 10mph faster tha

    Equations and Mixture Problem

    I need to know how to answer these three questions please explain 1. Solve 2x+y=8 5x-y=6 2. Stella's Catering is planning a wedding reception. The bride and groom would like to serve a nut mixture containing 25% peanuts. Stella has available mixtures that are either 40% or 10% peanuts. How much of each type should b

    Straight Line Functions: A Real-Life Application Problem

    Fueling Up Motorists often complain about rising gas prices. Some motorists purchase fuel efficient vehicles and participate in trip reduction plans, such as carpooling and using alternative transportation. Other drivers try to drive only when necessary. Application Practice Answer the following questions. Use Equatio

    Inverse Function Examples

    I would like to know how to calculate x when y is given and I am assuming there would be two solutions y = 1/x, x is not equal to 0 1. y = 1/x + 2, x is not equal to 0 2. y = 1/x - 2, x is not equal to 2 3. 1 + 1/x + 2, x is not equal to -2 Thank you

    Explanation of Binomial Solving

    Please explain this equation? This was in my text book and I am having a hard time understanding this. How do you arrive to this answer x+4sq=12 x+16=12 x+16-16=12 -16 x= -4

    Sets, Counting, Union and Intersection

    Create two sets, set A and set B. Set A will be a list of five items you personally NEED to buy the most (essential items). Set B will be a list of five items that you WANT to buy the most (fun stuff). * List the items in Set A and Set B, and also list or state the items in the union and in the intersection of Set A a

    straight line: Intersecting, Parallel or Perpendicular

    The line y = 0.15x + 0.79 represents an estimate of the average cost of gasoline for each year. The line 0.11x - y = -0.85 estimates the price of gasoline in January of each year (Bureau of Labor Statistics, 2006). a) Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning.

    Graph and analyze Linear functions

    Please help me with these problems and please show all work and steps to your solutions. This will help me better understand the problems once I have the answer and the steps for it. Thanks! Please show work 1. How do we write the equation of a horizontal line? What would be an example? 2. How do we write the equation of

    Sequences

    See attachment 1. John wants to fence a 150 square meters rectangular field. He wants the length and width to be natural numbers {1,2,3,...}. What field dimensions will require the least amount of fencing? 2. List the terms that complete a possible pattern in each of the following, and classify each sequence as arit