## Advanced Algebra |

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amount approaches approximately assume balls base becomes Calculate called chance circle coefficients column combinations common consider constant contains converges corresponding curve decimal Definition denominator denote determinant difference divide division draw drawn elements equal equation Example Exercises expansion exponents expression factor figure Find formula four fraction geometric given given equations gives graph graphically happen Hence imaginary increases indicated infinite integers interest less limit linear equations loga logarithm means method Multiply negative obtain operations pair permutations places points positive possible present probability Proof quadratic quantity quotient ratio reduce remainder represent respectively result roots Rule satisfy Show solution Solve square straight line Substituting Theorem third true unknown values variable varies volume write zero

### Popular passages

Page 160 - How many 6-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 if each number has 3 odd and 3 even digits and no two digits are alike?

Page 140 - Q(x) to obtain a quotient (polynomial of the form g. ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator.

Page 158 - ... applicants of whom 8 are women and 10 are men? 19. Fifteen points lie in a plane in such a way that 5 of the points are on one straight line and, apart from these, no 3 points are collinear. Find the total number of straight lines that can be obtained by joining pairs of the 15 points. 20. How many 6-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 if each number has 3 odd and 3 even digits and no two digits are alike? 21. In how many ways can one assign to 2 soldiers different...

Page 5 - Since the reciprocal of a number is 1 divided by that number the reciprocal of a fraction is that fraction inverted.

Page 14 - A Complex Fraction is one whose numerator, or denominator, or both, are fractional; as 7, I — sf148.

Page 107 - The squares of the periods of revolution of the planets about the sun vary as the cubes of their mean distances.

Page 103 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.

Page 115 - Sessa requested that he might be allowed one grain of wheat for the first square on the chess board, 2 for the second, 4 for the third, and so on, doubling continually, to 64, the whole number of squares. Now, supposing, a pint to contain...

Page 52 - ... such that one shall be 4 times as much below 55 as the other exceeds 37. 29. A square court has the same area as a rectangular court, whose length is 9 yards greater, and width 6 yards less, than the side of the square. Find the area of the court. 30. Two men, 84 miles apart, travel towards each other at the rates of 3 and 4 miles an hour, respectively. After how many hours will they meet ? 31. Find three consecutive numbers whose sum is 108. 32. In 7 years, A will be 3 Hmes as old as B, and...

Page 11 - Highest Common Factor. The highest common factor (hcf) of two or more...