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_ x2 1st condition 2d condition 2d terms Adding aft2 Canceling Clearing of fractions colog Completing the square crossing the x-axis digit in units Dividing drawing a smooth Extracting the square feet in length feet in width given equation Hence increases continuously larger number Let x miles per hour minimum value minute spaces Multiplying negative number negative value number of days number of dollars number of feet number of hours number of inches number of miles number of minute number of pounds number of rods ounces parabola Plotting these points points and drawing positive Reducing rejecting the negative second value smaller number smooth curve Solving square root Substituting 12 Substituting given values Substituting in given Substituting the given Subtracting Transposing Uniting terms value is inadmissible Verification weighs whence
Page 127 - What is the number? SOLUTION Let x = the digit in tens' place, and y = the digit in units' place. Then, 10 x + y = the number, and 10 y + x = the number with its digits reversed ; .'. lOx + y = 7(x + y), and 10 x + y - 27 = 10 y + x.
Page 513 - Let x = the larger number, and y = the smaller number. Then x + y = 12, since their sum is 12, (1) and x — y = G, since their difference is 6.
Page 337 - ... a circle whose center is at the origin and whose radius is a.
Page 332 - ... no point of the graph lies farther to the right or to the left of the origin than 5 units ; consequently, we substitute for x only values between and including — 5 and + 6.
Page 333 - Plotting these points and drawing. a smooth curve through them, we have the graph of the equation, as in Figure 4.
Page 332 - Plotting these twenty points and drawing a smooth curve through them, we have the graph of 9 x2 + 25 y'1 = 225, which is called an ellipse.
Page 478 - Let x = one number and y = the other number. Then, x + y = 7 And xy » 12 Solving by the method of symmetrical equations, Hence, the numbers are 3 and 4.
Page 492 - Let x = the first number. Then, x + 1 = the second number. and x +, 2 = the third number.