Higher AlgebraFisher and Schwatt, 1901 - 615 páginas |
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Página 89
... stand for the greater number , and consequently less . The resulting equation would then have been x + x = 84 . for the Whence x = 63 , the greater number ; and x = 21 , the less . This method leads to an equation in which the unknown 89.
... stand for the greater number , and consequently less . The resulting equation would then have been x + x = 84 . for the Whence x = 63 , the greater number ; and x = 21 , the less . This method leads to an equation in which the unknown 89.
Página 91
... whence 943 — x = 439 . Pr . 5. Fifteen coins , dollars and quarter - dollars , amount to $ 7.50 . How many coins of each kind are there ? We take one dollar as the unit , and express parts of dollars as fractional parts of this unit ...
... whence 943 — x = 439 . Pr . 5. Fifteen coins , dollars and quarter - dollars , amount to $ 7.50 . How many coins of each kind are there ? We take one dollar as the unit , and express parts of dollars as fractional parts of this unit ...
Página 92
... whence 200 x80 , the number of goats . Notice again that both conditions refer to abstract numbers . Pr . 7. A box contains a certain number of pencils , of which one - third are red , one - sixth are blue , and 15 are black . How many ...
... whence 200 x80 , the number of goats . Notice again that both conditions refer to abstract numbers . Pr . 7. A box contains a certain number of pencils , of which one - third are red , one - sixth are blue , and 15 are black . How many ...
Página 93
... Whence , x = 5 , the digit in the units ' place ; and 8x = 3 , the digit in the tens ' place . - The original number is 10 ( 8x ) + x , 35 ; the second number is 10x + 8 − x , = 53 , and 53 – 35 = 18 . - Pr . 9. A carriage , starting ...
... Whence , x = 5 , the digit in the units ' place ; and 8x = 3 , the digit in the tens ' place . - The original number is 10 ( 8x ) + x , 35 ; the second number is 10x + 8 − x , = 53 , and 53 – 35 = 18 . - Pr . 9. A carriage , starting ...
Página 181
... whence x - 3 = 0 ; x = 3 . ( 3 ) The root 3 of the derived equation ( 3 ) is found , by substi- tution , to be a root of the given equation . Had we solved equation ( 2 ) , we should have obtained the additional root — 1 , which , as ...
... whence x - 3 = 0 ; x = 3 . ( 3 ) The root 3 of the derived equation ( 3 ) is found , by substi- tution , to be a root of the given equation . Had we solved equation ( 2 ) , we should have obtained the additional root — 1 , which , as ...
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Higher Algebra George Egbert Fisher,Isaac J. 1867- jt. auth Schwatt Sin vista previa disponible - 2015 |
Términos y frases comunes
a₁ a²b a²x a²x² ab² algebraic arithmetical means arithmetical progression assigned number ax² b₁ binomial coefficient Commutative Law complex number continued fraction convergent corresponding cube root definition denominator determinant difference digits divided divisor equal equivalent EXERCISES exponent Find the values finite following expressions following principle geometrical progression given equation given expression given number given series given system greater harmonical means inequality integer irrational number less logarithm mantissa method miles multinomial multiplied negative number obtained parentheses positive integer positive number powers preceding article principal root quadratic equation quotient r₁ radicand rational number remainder required numbers result S₁ second member second term Simplify solution Solve the equation square root Substituting subtracted surds unknown number whence wherein x²y yards
Pasajes populares
Página 209 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Página 73 - Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient.
Página 359 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Página 64 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Página 363 - One quantity is said to vary directly as a second and inversely as a third, when it varies as the second and the reciprocal of the third jointly.
Página 456 - ж2), etc-, are functions of x ; corresponding to any value of x, the first function has one value, the second has two values. Again, the area of a circle is a function of its radius ; the distance a train runs is a function of the time and speed. 4. Much simplicity is introduced into mathematical investigations by employing special symbols for functions. The symbol f(x), read function of x, is very commonly used to denote a function of x.
Página 364 - The volume of a gas varies inversely as the pressure when the temperature is constant. When the pressure is 15, the volume is 20; what is the volume when the pressure is 20 ? Let v stand for the volume and p for the pressure. Then from pv = k we obtain k = 300. Therefore pv = 300. Consequently, when p = 20, 20 v = 300 ; whence v = 15. EXERCISES III. If zee y, what is the expression for x in terms of y, 1.
Página 379 - Progression (AP), is a series in which each term, after the first, is formed by adding a constant number to the preceding term.
Página 204 - A system of linear equations has a definite number of solutions. (i.) When the number of equations is the same as the number of unknown numbers. (ii.) When the equations are independent and consistent.
Página 100 - The square of the sum of two numbers is equal to the square \ (¿ of the first, plus twice the product of the first and second, plus the J square of the second.