College AlgebraScott, Foresman, 1901 - 777 páginas |
Dentro del libro
Resultados 1-5 de 54
Página 33
... hold for negative numbers , thus : -3b - 56-76-116 ( -3-5-7-11 ) b - = 26b , by I , 29 . - 3. Find the sum of 6 ax , 5 ax2 , -2ax , +13 ax , 19 ax2 , + ax2 . By II and III , 29 , the sum of the coefficients of the positive terms is 6 + ...
... hold for negative numbers , thus : -3b - 56-76-116 ( -3-5-7-11 ) b - = 26b , by I , 29 . - 3. Find the sum of 6 ax , 5 ax2 , -2ax , +13 ax , 19 ax2 , + ax2 . By II and III , 29 , the sum of the coefficients of the positive terms is 6 + ...
Página 41
... assumption will be made that the equations 1-5 hold for all integral values of a , b , and c , without regard to their relative magnitudes . 39. Zero . If b is made to equal a 138 ] SUBTRACTION AND THE NEGATIVE INTEGER 41.
... assumption will be made that the equations 1-5 hold for all integral values of a , b , and c , without regard to their relative magnitudes . 39. Zero . If b is made to equal a 138 ] SUBTRACTION AND THE NEGATIVE INTEGER 41.
Página 45
... hold since 2a + 3b > 2a . The use of subtraction as so far defined in any reckoning with sym- bols must be regarded as unwarranted unless the relative values of the symbols are known . = Accordingly the question arises , how is this ...
... hold since 2a + 3b > 2a . The use of subtraction as so far defined in any reckoning with sym- bols must be regarded as unwarranted unless the relative values of the symbols are known . = Accordingly the question arises , how is this ...
Página 46
... hold for all values of a and b . The symbolic definition is more general than the definition of numerical subtraction , which is the particular case of the symbolic definition when a and b are numbers and a > b . From the point of view ...
... hold for all values of a and b . The symbolic definition is more general than the definition of numerical subtraction , which is the particular case of the symbolic definition when a and b are numbers and a > b . From the point of view ...
Página 58
... hold for 0 , that we can not divide by 0 , is clear ; for if one of the factors of a product is 0 , the product is 0 , however the other factor may change . Thus let the quotient of beq ; then by definition of division q × 0 should ...
... hold for 0 , that we can not divide by 0 , is clear ; for if one of the factors of a product is 0 , the product is 0 , however the other factor may change . Thus let the quotient of beq ; then by definition of division q × 0 should ...
Otras ediciones - Ver todas
Términos y frases comunes
A₁ algebraic Arithmetic ax² b₁ binomial Binomial Theorem c₁ CHAPTER coefficients common convergent corresponding cube root decimal definition denominator determinant difference divided division divisor equal equivalent example exponent expression factors figures Find the number formula fraction given equation greater Hence imaginary increases inequality integer irrational less limit log 1+r logarithm mantissa mathematical induction monomial multiplied negative number nth root number of terms P₁ partial fractions polynomial positive integer positive number problem quadratic quadratic equation quotient rational remainder result rule satisfy second degree second member solution Solve the equations square root substituting subtraction Suppose surd symbols system of equations theorem third tion triangle trinomial unknown numbers unknown quantities Va² zero
Pasajes populares
Página 205 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Página 666 - Q(x) to obtain a quotient (polynomial of the form -Q ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator.
Página 79 - Raise the absolute value of the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Página 71 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Página 588 - What will $ 100 amount to in 7 years with interest at 8% per annum, compounded semi-annually ? 3. In how many years will a sum of money double itself at 6%, compounded annually ? 4.
Página 181 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour ? 43.
Página 519 - In any proportion, the terms are in proportion by Alternation; that is, the first term is to the third as the second term is to the fourth.
Página 520 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Página 524 - The first of four magnitudes is said to have the same ratio to the second, that the third has to the fourth, when any equimultiples...
Página 588 - June, 1889.) 1. In how many years will a sum of money double itself at 4 per cent., interest being compounded semi-annually ? 2.