Advanced AlgebraMacmillan, 1906 - 562 páginas |
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Página 5
... Similarly a subtraction of 2 is equal to a downward motion of two spaces . Hence 2 subtracted from 0 equals - 2 , 2 subtracted from 2 equals — 4 , etc. - - EXERCISE 3 1. If in financial transactions we indicate a man's income by a ...
... Similarly a subtraction of 2 is equal to a downward motion of two spaces . Hence 2 subtracted from 0 equals - 2 , 2 subtracted from 2 equals — 4 , etc. - - EXERCISE 3 1. If in financial transactions we indicate a man's income by a ...
Página 8
... the product . Since 24 = 3 × 8 , or 12 × 2 , each of these numbers is a factor of 24 . Similarly , 7 , a , b , and c are factors of 7 abc . 15. A power is the product of two or more 8 ELEMENTARY ALGEBRA Factors, Powers, and Roots.
... the product . Since 24 = 3 × 8 , or 12 × 2 , each of these numbers is a factor of 24 . Similarly , 7 , a , b , and c are factors of 7 abc . 15. A power is the product of two or more 8 ELEMENTARY ALGEBRA Factors, Powers, and Roots.
Página 18
... Similarly , the fact that a loss of $ 6 and a gain of $ 4 equals a loss of $ 2 , may be represented thus ( − $ 6 ) + ( + $ 4 ) = ( − $ 2 ) . In a corresponding manner we have for a loss of $ 6 and a loss of $ 4 ( − $ 6 ) + ( − $ 4 ) ...
... Similarly , the fact that a loss of $ 6 and a gain of $ 4 equals a loss of $ 2 , may be represented thus ( − $ 6 ) + ( + $ 4 ) = ( − $ 2 ) . In a corresponding manner we have for a loss of $ 6 and a loss of $ 4 ( − $ 6 ) + ( − $ 4 ) ...
Página 40
... Similarly the quadruple of a + 2b would be 4 a +8 b , for 4 ( a + 2 b ) = ( a + 2 b ) + ( a + 2 b ) + ( a + 2 b ) + ( a + 2 b ) = 4a + 4 ( 2b ) = 4a + 8 b . 55. This principle , called the distributive law , is 40 ELEMENTARY ALGEBRA ...
... Similarly the quadruple of a + 2b would be 4 a +8 b , for 4 ( a + 2 b ) = ( a + 2 b ) + ( a + 2 b ) + ( a + 2 b ) + ( a + 2 b ) = 4a + 4 ( 2b ) = 4a + 8 b . 55. This principle , called the distributive law , is 40 ELEMENTARY ALGEBRA ...
Página 65
... has been transposed from the left to the right member by changing its sign . Similarly , if x ab . - Adding a to both members , x = b + a . F ( Axiom 1 ) The result is the same as if we had transposed LINEAR EQUATIONS AND PROBLEMS 65.
... has been transposed from the left to the right member by changing its sign . Similarly , if x ab . - Adding a to both members , x = b + a . F ( Axiom 1 ) The result is the same as if we had transposed LINEAR EQUATIONS AND PROBLEMS 65.
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Términos y frases comunes
a+b)² a²b a²b² a³b ab² ab³ algebraic angle arithmetic arithmetic means ax² b₁ binomial coefficients complex numbers consecutive numbers contains cube denominator determinant difference digits Dividing division divisor exceeds EXERCISE exponents factors feet Find the H. C. F. Find the number Find the sum Find the value following equations following expressions function graph graphically Hence inches integral letters logarithm method miles per hour monomial multiplied negative number of dollars obtain polynomial positive quadratic equation quotient ratio real numbers reduced remainder represented Simplify simultaneous equations Solve the equation Solve the following square root Substituting subtract surd symbols third Transposing triangle unknown number unknown quantities Va² x²y x²y² x²y³ xy² yards zero
Pasajes populares
Página 168 - In any proportion the product of the means is equal to the product of the extremes.
Página 162 - The sum of the three angles of any triangle is equal to 180°.
Página 45 - 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 374 - To release the paper, turn the handle /in a direction opposite to the motion of the hands of a watch.
Página 168 - If the product of two numbers is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.
Página 386 - 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?
Página 133 - A fraction may be reduced by division to an integral or mixed expression, if the degree of the numerator is equal to, or greater than, that of the denominator.
Página 102 - A trinomial belongs to this type, ie it is a perfect square, when two of its terms are perfect squares, and the remaining term is equal to twice the product of the square roots of these terms. The student should note that a term, in order to be a perfect square, must have a positive sign.
Página 515 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 383 - ... are placed. Thus the combinations of the letters a, b, c, taken two at a time are ab, ас...