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The dimensions of a rectangle are such that its length is 9 in. more than its width. If the length were decreased by 4 in., the area would be increased by 110 in.^2. What are the length and width of the rectangle?
A student thinks of a polynomial p(x) of arbitrary degree, and non-negative integer coefficients. How can you determine the student's polynomial by asking for two values of her polynomial
The owner of the Rancho Grande has 2972 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions of the largest area..
Let D be a Euclidean ring, F its field of quotients. Prove the Gauss lemma for polynomials with coefficients in D factored as product of polynomials with coefficients in F.
In all respects, Company A and Company B are identical except that Company A's costs are mostly variable, whereas Company B's costs are mostly fixed. When sales increases, which company will tend to realize the greatest increase in profits?
Show the similarities between dividing two fractions and dividing two rational expressions using examples of each; Explain your steps.
What was the book value of the equipment inventory at the six-year point, substituting the new hydraulic lift for the original after the new lift had joined the inventory?
Suppose a retiree wants to buy an ordinary annuity that pays her $2,000 per month for 20 years. If the annuity earns interest at 3.5% interest compounded monthly, what is the present value of this annuity?
The dimensions of a triangular lot are 160 feet by 80 feet by 120 feet. If the price of such land is $3 per square foot, how much does the land cost?
A particle has position function r(t). If r'(t)=c x r(t), where c is a constant vector, describe the path of the particle.
If a = i + 7j + k and b = i + 13j + k , find a unit vector with positive first coordinate orthogonal to both a and b in terms of i, j, and k.
The marginal revenue derived from producing q units of a certain commodity is R'(q) = 4q - 1.2q^2 dollars per unit. If the revenue derived from producing 20 units is $30,000 how much revenue should be expected from producing 40 units?
Find an example online of a graph used in real life. Please provide the link to the web page by using the link button in the editor.
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