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1. Let d; a; b; r, and q be integers.
a) Suppose that d|a and d|b. Show that d|(ra + qb).
b) Suppose a = qb + r. Show that the set of common divisors of a and b is the set of common divisors of b and r.
What is the necessary condition for the following fraction to be valid? What value(s) of "x" that cannot be used in this fraction?
the average cost function.
The revenue of Theta Corporation is given as R=15x, where x is the number of units produced (in thousands). If the cost is how many units will have to be produced before the company breaks even?
For x > 0, which of these statements best describe the graph of y = x.25
Describe what this value represents in practical terms. Choose the correct answer below. Both companies charge $67.20 for 80 miles driven.
A car travels 910 mi at a certain speed. if the speed had been 5 miles per hour faster, the trip would have been made in 1 hr less. Find the speed.
Using that information, construct but do not solve a linear system of equations that determines how much of each item a person would need to consume to achieve the recommended daily values of each nutrient.
Find the center, transverse, axis, vertices, foci and asymptotes. Graph the equation y2-x2=100. Find the equation of hyperbola. Vertices (-1,5) and (9,-5) Asymptote the line y+5=6/5 (x-4). Write the equation of hyperbola and show the graph.
Compute the age of the older friend.
Find inverse for the matrix
Calculate the adjacent matrix and find its inverse.
a students grade in a course is the average of 4 test grades and a final exam that is worth twice as much as each test.
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