Infinite sets of positive integers whose sums are free of powers
... an infinite set S of positive integers such that the sum of any number of distinct elements of S is not a perfect square. It is fairly straightforward to check that an example of such a set S is provided by the set of all Fermat numbers n {Fn }n≥0 , where Fn := 22 + 1 for n ≥ 0. In this note, we sho ...
... an infinite set S of positive integers such that the sum of any number of distinct elements of S is not a perfect square. It is fairly straightforward to check that an example of such a set S is provided by the set of all Fermat numbers n {Fn }n≥0 , where Fn := 22 + 1 for n ≥ 0. In this note, we sho ...
10_2InverseJointVari..
... Direct, Inverse and Joint Variation Direct Variation is a linear function. For example d = r • t If time is constant, as rate goes up, distance goes up. We can say, distance varies directly with rate... Direct variation equations can be written as y = kx where k is the constant of variation. Exampl ...
... Direct, Inverse and Joint Variation Direct Variation is a linear function. For example d = r • t If time is constant, as rate goes up, distance goes up. We can say, distance varies directly with rate... Direct variation equations can be written as y = kx where k is the constant of variation. Exampl ...
CONTENTS - Resource Packet
... that uses what are called Imaginary Numbers) 2) Continue by considering whether the number meets the requirements for a Natural number. If it is a Natural number, then it may also be automatically classified as W, Z and Q since Natural numbers are subsets of each of these other sets. 3) If it is not ...
... that uses what are called Imaginary Numbers) 2) Continue by considering whether the number meets the requirements for a Natural number. If it is a Natural number, then it may also be automatically classified as W, Z and Q since Natural numbers are subsets of each of these other sets. 3) If it is not ...
... To solve: Get a zero on one side of the inequality by adding or subtracting. Factor the denominator (and numerator). Find the zeros of each factor. Split the real number line into intervals that correspond to the zeros of each factor. “Test” the sign of each factor over these intervals. ...
... To solve: Get a zero on one side of the inequality by adding or subtracting. Factor the denominator (and numerator). Find the zeros of each factor. Split the real number line into intervals that correspond to the zeros of each factor. “Test” the sign of each factor over these intervals. ...
Virginia Placement Test Practice Questions and Answers
... to have a total annual interest income of $283. Write a system of linear equations that represents this situation where x represents the amount invested in the 3.5% fund and y represents the amount invested in the 5.5% fund. Solve this system to determine the smallest amount that you can invest at 5 ...
... to have a total annual interest income of $283. Write a system of linear equations that represents this situation where x represents the amount invested in the 3.5% fund and y represents the amount invested in the 5.5% fund. Solve this system to determine the smallest amount that you can invest at 5 ...
Chapter 10 Writing and Solving Systems of Linear Functions
... 12. Follow the directions below to draw a map in the coordinate plane. a. The map begins at the point A(0, 3) with a straight line segment that has a slope of 1. Write an equation for this segment. b. Point B has an x-coordinate of 4 and is a point on the line whose equation you wrote in a. Find the ...
... 12. Follow the directions below to draw a map in the coordinate plane. a. The map begins at the point A(0, 3) with a straight line segment that has a slope of 1. Write an equation for this segment. b. Point B has an x-coordinate of 4 and is a point on the line whose equation you wrote in a. Find the ...
2011-2012 CP Precalculus Final Exam Topics
... Sketch the graph of a quadratic function Identify the axis of symmetry, vertex, and concavity Show familiarity with standard and vertex form of a quadratic Section 2.2 Polynomials of Higher Degree Identify the equations, degrees, and graphs of linear, quadratic, cubic, quartic, and quintic functions ...
... Sketch the graph of a quadratic function Identify the axis of symmetry, vertex, and concavity Show familiarity with standard and vertex form of a quadratic Section 2.2 Polynomials of Higher Degree Identify the equations, degrees, and graphs of linear, quadratic, cubic, quartic, and quintic functions ...