Advanced AlgebraMacmillan, 1906 - 562 páginas |
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Página 50
... increased by twice the product of each term with each that follows it . The student should note that the square of each term is always positive , while the product of the terms may have the plus sign or the minus sign . Find by ...
... increased by twice the product of each term with each that follows it . The student should note that the square of each term is always positive , while the product of the terms may have the plus sign or the minus sign . Find by ...
Página 73
... , the difference of the squares of a and b increased by 80 equals the excess of a3 over 80 . 80 = Or , a3 80 . ( a2 — b2 ) + 80 = a3 — 80 . a2 - b2 + In many cases it is possible to translate a sentence LINEAR EQUATIONS AND PROBLEMS 73.
... , the difference of the squares of a and b increased by 80 equals the excess of a3 over 80 . 80 = Or , a3 80 . ( a2 — b2 ) + 80 = a3 — 80 . a2 - b2 + In many cases it is possible to translate a sentence LINEAR EQUATIONS AND PROBLEMS 73.
Página 74
... increased by 19 is c . 5. Three times the sum of a and b exceeds c by as much as c exceeds 7 . 6. Four times the difference of x and У increased by one fifth of c is equal to 9 times the product of b and c . 7. The product of the sum ...
... increased by 19 is c . 5. Three times the sum of a and b exceeds c by as much as c exceeds 7 . 6. Four times the difference of x and У increased by one fifth of c is equal to 9 times the product of b and c . 7. The product of the sum ...
Página 78
... increased by 4 equals 22 . 3. What number added to three times itself gives a sum of 44 ? 4. Find the number whose double exceeds 7 by 5 , 5. Four times a certain number diminished by 6 is equal to three times the number increased by 2 ...
... increased by 4 equals 22 . 3. What number added to three times itself gives a sum of 44 ? 4. Find the number whose double exceeds 7 by 5 , 5. Four times a certain number diminished by 6 is equal to three times the number increased by 2 ...
Página 82
... increased by 14 shall be equal to the other increased by 10 . 7. One number is 5 less than three times another number . If the second number is subtracted from five times the first number , the result is 25. What are the numbers ? 8 ...
... increased by 14 shall be equal to the other increased by 10 . 7. One number is 5 less than three times another number . If the second number is subtracted from five times the first number , the result is 25. What are the numbers ? 8 ...
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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...