Essentials of Algebra for Secondary SchoolsD.C. Heath & Company, 1897 - 411 σελίδες |
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Αποτελέσματα 1 - 5 από τα 33.
Σελίδα 42
... give the dividend . 2. Divide 8+ 18-56x2 by -6x + 4 + 8x . Arranging according to the ascending powers of x , 4 + 8x - 6x2 ) 8 - 56 x2 8 + 16 x - 16 x - 16 x + 18 x1 ( 2 − 4 x − 3 x2 , Ans . - 12 x2 - 44x2 + 18x4 - - 32 x2 + 24x3 - 12 ...
... give the dividend . 2. Divide 8+ 18-56x2 by -6x + 4 + 8x . Arranging according to the ascending powers of x , 4 + 8x - 6x2 ) 8 - 56 x2 8 + 16 x - 16 x - 16 x + 18 x1 ( 2 − 4 x − 3 x2 , Ans . - 12 x2 - 44x2 + 18x4 - - 32 x2 + 24x3 - 12 ...
Σελίδα 54
... gives B $ 35 , B has 3 times as much money as A. Now after giving B $ 35 , A has 2x - 35 dollars , and B x + 35 dollars ; we then have the equation and Expanding , Transposing , - Dividing by 5 , x + 35 = 3 ( 2x – 35 ) . x + 35 = 6x ...
... gives B $ 35 , B has 3 times as much money as A. Now after giving B $ 35 , A has 2x - 35 dollars , and B x + 35 dollars ; we then have the equation and Expanding , Transposing , - Dividing by 5 , x + 35 = 3 ( 2x – 35 ) . x + 35 = 6x ...
Σελίδα 56
... give ? 16. Divide 76 into two parts such that if the greater be taken from 61 , and the less from 43 , the remainders shall be equal . 17. What two numbers are those whose sum is 13 , and the difference of whose squares is 65 ? 18. Find ...
... give ? 16. Divide 76 into two parts such that if the greater be taken from 61 , and the less from 43 , the remainders shall be equal . 17. What two numbers are those whose sum is 13 , and the difference of whose squares is 65 ? 18. Find ...
Σελίδα 58
... give them 20 cents each , he would have had too little money by 10 cents . How many beggars were there ? 41. A tank containing 120 gallons can be filled by two pipes , A and B , in 12 and 15 minutes , respectively . The pipe A was ...
... give them 20 cents each , he would have had too little money by 10 cents . How many beggars were there ? 41. A tank containing 120 gallons can be filled by two pipes , A and B , in 12 and 15 minutes , respectively . The pipe A was ...
Σελίδα 130
... give 2 as a quotient and 5 as a remainder . Let Then , x = the divisor . 44x the dividend . Now since the dividend is equal to the product of the divisor and quotient , plus the remainder , we have 44x2x + 5 . - 3x39 . Whence , and x ...
... give 2 as a quotient and 5 as a remainder . Let Then , x = the divisor . 44x the dividend . Now since the dividend is equal to the product of the divisor and quotient , plus the remainder , we have 44x2x + 5 . - 3x39 . Whence , and x ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
25 cents 40 cents 9 x² a²b a²b² a³b ab² ab³ Algebra arithmetic means arithmetic progression ax² Binomial Binomial Theorem change the sign Chemistry coefficient common factor Completing the square cube root denominator digits dimes Divide divisor equal EXAMPLES exponent Extracting the square Find the numbers Find the value following equations following rule geometric given equation Hence laboratory less Let the proportion logarithm m²n mantissa members the square miles an hour monomial Multiplying negative number Note number of dollars partial fractions perfect square polynomial positive integer quadratic equation quotient radical sign ratio remainder result second term solution Solve the equation Solve the following square root Substituting Subtracting Transposing unknown quantities Wells's Whence x²y xy² xy³
Δημοφιλή αποσπάσματα
Σελίδα 256 - In any proportion, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Σελίδα 244 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Σελίδα 357 - Teacher's Manual to Sheldon's History. Puts into the instructor's hand the key to the above system.
Σελίδα 31 - 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.
Σελίδα 357 - Hall's Method of Teaching History. " Its excellence and helpfulness ought to secure it many readers,
Σελίδα 49 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Σελίδα 247 - 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.
Σελίδα 256 - 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.
Σελίδα 59 - Arts. 200 and 201 we derive the following rule : Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root.
Σελίδα 289 - The logarithm of a product is equal to the sum of the logarithms of its factors.