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A manufacturer uses a tank to supply water to his machines while they are working. When the machines are on the tank loses 1.5 gallons of water an hour at the same time 1 gallon of water is pumped into the tank from a well. Write an equation that models the amount of water (w) in the tank for any hour (h) that the machines are on. The tank starts full with 150 gallons of water in it.
Determine if the equation y2= x2 defines y as a function of x. Justify your answer. Sketch by hand a graph of a function f that is decreasing on [-4,2], constant on [-2,1], and increasing on [1,2]
Solve mathematical expression.
When is it necessary to find the least common denominator (LCD) of two rational expressions? Describe, in your own words, the process for finding the LCD of two rational expressions. How is factoring related to this process?
Based on the fundamental theorem of algebra, how many solutions would the following equation have:
Estimate whether the system is inconsistent or consistent
Apply the Gauss Jordan method to solve the equations.
Solving a system by elimination. Solve each system of equations: Solving a system by elimination. Solve each system of equations:
What is the best method for solving absolute value inequalities? Finally, we remember that |x|=|-x|. This means that we do not solve absolute value inequalities with a negative x inside! We simply rewrite it: |2-3x|=|3x-2|. This means we never have..
Vertex and axis of symmetry from the graph.
Lina has 24 square ceramic tiles, each with 1 inch sides she wants to arrange them in a rectangular design on a tabletop. What are the possible dimensions of the design?
Algebra equation
Compute A with continuous compounding.
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