## A College Algebra |

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### Common terms and phrases

a₁ adding algebraic amount arithmetical Assume balls base becomes called cent chance coefficients common compound constant containing convergent course denominator denote differential divided divisible divisor equal equation equivalent event evidently EXAMPLE EXERCISE exponent expression factors fail find the chance formula fraction function given greater happen Hence identity imaginary increases infinite integral interest known least less letters limit loga logarithms method Multiplying negative obtain pile places positive powers probability problem prove quadratic quantities quotient ratio real roots reduced relation remainder respectively result roots Show solution Solve square Substituting Subtracting successive surd taken term things third throwing tion transformed trials u₁ unknown quantities variable variations write zero

### Popular passages

Page 108 - 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.

Page 191 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 215 - To find the amount of an annuity left unpaid for a given number of years, allowing compound interest. Let A be the annuity, R the amount of $1 for one year, n the number of years, M the amount.

Page 226 - From 12 books in how many ways can a selection of 5 be made, (1) when one specified book is always included, (2) when one specified book is always excluded ? (1) Since the specified book is to be included in every selection, we have only to choose 4 out of the remaining 11. Hence the number of ways...

Page 233 - In general, if an event may happen in a ways, and fail in b ways, and each of these ways is equally likely to occur, the probability of its happening is -, and the probability of its failing is...

Page 107 - 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.

Page 114 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1 Ib.

Page 105 - A ratio of greater inequality is diminished, and a ratio of less inequality is increased, by adding the same quantity to both its terms.

Page 19 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.

Page 1 - To measure a quantity is to find how many times it contains another quantity of the same kind, called a unit of measurement.