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Solve the following linear equation and so find the value of x:
Marginal revenue. A defense attorney charges her client $4000 plus $120 per hour.The formula R=120n+4000 gives her revenue in dollars for n hours of work.
Maria's Mantillas. Maria plans to make two different kinds of mantillas (veils), some out of lace and some out of a sheer cotton fabric.
The formula should involve a natural logarithm. Also, check the answer by substituting the definition of tanh x into your inverse formula and simplify.
The perimeter of a rectangular backyard is 6x+6 yards. If the width is x yards, find a binomial that represents the length.
Greatest Common Factor for Monomials.Factoring a Difference of Two Squares
Whether you agree or do not agree, the study of algebra is good for the brain. The brain is a muscle, and you must use it to keep it strong.
Winter wheat. While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field.
A member of the Road Runner Club likes to exercise every day by walking and jogging at least 3 miles. She walks at a rate of 4 mph and jogs.
Find the domain of the function.Use the function to predict the life expectancy of males in 2007.
Road trip. The Griswalds averaged 45 mph on their way to Las Vegas and 60 mph on the way back home using the same route.
The table below is based on surveys of double-income families and the percent of men and women in these families.
Write a cost function to determine the amount a customer with the local and long distance plans would be charged that is based on the number.
Practical Application of Linear Equations.Walt made an extra $12,000 last year from a part-time job.
Write out the conjugacy classes explicitly in S3 and S4.What are the conjugacy classes in A4?
Profit maximization algebra with a monopolist.What Price Should Apple Charge for the IPod?
The equation of the horizontal line passing through (1, -5) is,The standard form of the inequality x - 4y =12 is
How many trucks would have to be loaded if you could pack 12 eggs in each carton and fit 20 cartons on each truck?
When solving a rational equation, why it is OK to remove the denominator by multiplying both sides by the LCD and why can you not do the same operation.
If you have an arbitrary polynomial P(x) of the nth degree in x, and you graph the equation y = P(x), describe the overall shape of this graph.
Use synthetic division to divide the polynomial 4x3 + 10x2 - 11 by x + 3, and state the quotient polynomial and the remainder.
Eigenvalue proofs.Consider the eigenvalue problem
Suppose instead that the town experiences growth that can be modeled by the following: where t is the number of years from 2010.
What is the difference between domain and range?Describe a real life situation that could be modeled by a function.
Writing and Solving Linear Eqns from Word Problems.After 2 minutes on a treadmill, Jenny has a heart rate of 82