School AlgebraB. F. Johnson, 1903 - 432 páginas |
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Página 4
... Equivalent Equations . The Binomial and Re- mainder Theorems are presented in a simple manner at an early stage in order to give the student as quickly as possible the practical use of these important principles . Many cautions on the ...
... Equivalent Equations . The Binomial and Re- mainder Theorems are presented in a simple manner at an early stage in order to give the student as quickly as possible the practical use of these important principles . Many cautions on the ...
Página 7
... Equivalent Systems of Equations 199 Linear Equations with Three or More Unknown Numbers 210 INDETERMINATE EQUATIONS 217 Graphs of Linear Equations 221 INVOLUTION AND EVOLUTION 227 Involution 227 Evolution 230 THEORY OF EXPONENTS 244 ...
... Equivalent Systems of Equations 199 Linear Equations with Three or More Unknown Numbers 210 INDETERMINATE EQUATIONS 217 Graphs of Linear Equations 221 INVOLUTION AND EVOLUTION 227 Involution 227 Evolution 230 THEORY OF EXPONENTS 244 ...
Página 46
... equivalent to adding -2 ; also , that the Minuend = Remainder + Subtrahend . Examine these equations : 7--4 = 11 . -12 4 : -8 . 2-4 6 . = 7+ 4 = 11 . -124-8 . 2 + 4 = 6 . 7 = 11 + -4 . -1284 . 2 = = 6 + −4 . + Observe that subtracting ...
... equivalent to adding -2 ; also , that the Minuend = Remainder + Subtrahend . Examine these equations : 7--4 = 11 . -12 4 : -8 . 2-4 6 . = 7+ 4 = 11 . -124-8 . 2 + 4 = 6 . 7 = 11 + -4 . -1284 . 2 = = 6 + −4 . + Observe that subtracting ...
Página 47
John Marvin Colaw. Hence , to take away $ 10 income is equivalent to adding $ 10 expenses . Either reduces his savings ... equivalent to adding $ 10 Either increases his savings to $ 50 . The relation is income . algebraically expressed ...
John Marvin Colaw. Hence , to take away $ 10 income is equivalent to adding $ 10 expenses . Either reduces his savings ... equivalent to adding $ 10 Either increases his savings to $ 50 . The relation is income . algebraically expressed ...
Página 48
... equivalent to the addition of the equal opposite number ; or , which is the same thing , the addition of the number with its sign of quality reversed . 80. The formal proof of the principle involved may be given as follows : 1. To ...
... equivalent to the addition of the equal opposite number ; or , which is the same thing , the addition of the number with its sign of quality reversed . 80. The formal proof of the principle involved may be given as follows : 1. To ...
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Términos y frases comunes
a²b a²b² ab+b² ab² absolute value added arithmetical means arithmetical progression ax² bers binomial called cents CHECK coefficient Completing the square cube root difference digits Divide dividend division divisor equations containing equivalent Find the number Find the sum Find the value fractional exponents geometrical graphs Hence highest common factor identity integral logarithm mantissa means method miles an hour minuend monomial multiplied negative numbers nth root number of dollars number of terms numerator and denominator polynomial positive integer positive number problem quadratic equations quotient rational Reduce remainder result rods Simplify solution Solve the equation Solve the following Solve the system square root Substituting subtracted subtrahend surd symbols Theorem twice unknown numbers x²y x²y² xy² zero
Pasajes populares
Página 85 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 74 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.
Página 412 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 205 - What fraction is that, whose numerator being doubled, and the denominator increased by 7, the value becomes f ; but the denominator being doubled, and the numerator increased by 2, the value becomes -jj-?
Página 357 - 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.
Página 355 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Página 74 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Página 68 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Página 241 - ... plus three times the product of the square of the tens by the units, plus three times the product of the tens by the square of the units, plus the cube of the units. This being the case, the cube of the tens...
Página 35 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.