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Unformatted text preview: (y2) is a parabola opening to the left with vertex at the origin (0,0). The function f(y) = –(y2 + 1) is equivalent to f(y) = –y2 – 1, the graph of which is the graph of x = –(y2), except translated one unit to the left, as the figure shows. [Since (–y)2 = y2 for any real number y, substituting –y for y in the function f(y) = –(y2 + 1) does not transform the function in any way.] slope of the line segment is –1, the slope of its perpendicular bisector is 1. Plug (x,y) pair
3 ( 1 , 2 ) and slope (m) 1 into the standard form of 2 the equation for a line (y = mx + b), then solve for b (the y-intercept):
3 1 = (1) + b 2 2 1= b You now know the equation of the line: y = x + 1. www.petersons.com 308 Chapter 16 Exercise 5
1. (D) Division D’s income accounted for 30% of $1,560,000, or $468,000. Income from Division C was 20% of $1,560,000, or $312,000. To answer the question, subtract: $468,000 – $312,000 = $156,000. (A) Visual inspection reveals that the aggregate amount awarded in 1995 exceeded that of any of the other 3 years shown. During that year, minority awards totaled approximately $730,000 and non-minority awards totaled approximately $600,000. The difference between the two amounts is $130,000. (E) The two greatest two-month percent increases for City X were from 1/1 to 3/1 and from 5/1 to 7/1. Although the temperature increased by a greater amount during the latter period, the percent increase was greater from 1/ 1 to 3/1: January–March: from 30 degrees to 50 degrees, a 66% increase May–July: from 60 degrees to 90 degrees, a 50% increase During the period from 1/1 to 3/1, the highest daily temperature for City Y shown on the chart is appoximately 66 degrees. 4. (A) To answer the question, you can add together the “rise” (vertical distance) and the “run” (horizontal distance) from point O to each of the five lettered points (A–E). The shortest combined length represents the fastest combined (total) race time. Or, you can draw a line segment from point O to each of the five points—the shortest segment indicating the...
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This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.
- Spring '10