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1. A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet?
2. A business invests $8,000 in a savings account for two years. At the beginning of the second year, an additional $2,500 is invested. At the end of the second year, the account balance is $11,445. What was the annual interest rate?
3. Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle.
4. The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water?
The average income of a member of the Yale Class of '83 is $274,111. This statistic is being used to show that a Yale education will lead to riches.
Find the solution for y
Find the maximize size
Let f(x) = x^p - alpha E F [x] be irreducible, and let alpha be a root of f in an extension field. Show that if F (alpha)/F is a Galois extension, then g(x) = x^p - 1 splits in the field F.
Computing the algebraic expression.
Solve the following Polynomials
Make a graph and find the intervals.
Making the graph of two polynomial functions.
Solve mathematical expression.
Find the function's equation
Make a graph for the quadratic function
Change the inequality into a linear equation.
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