Section 2.1
#4 Determine whether the given ordered pair is a solution of the given equation
(2,-1);x^2+y^2-6x+8y= -15
#6 Determine whether the given ordered pair is a solution of the given equation
(1, -1); x^2/2 + y^2/3 = -4
#82 From 2000 to 2007 the total net assests of US equity mutual funds (in billions of dollars) could be approximated by
Y=331.35x^3 - 1099.6x^2 + 224.15x + 3962.3, where x = 0 corresponds to the year 2000?. What was the lowest amount of total assets and when did this occur?
Section 2.2
#4 Find the slope of the given line, if it is defined
The line through (-5, -2) and (-4,11)
#6 Find the slope of the given line, if it is defined
The line through the origin and (8, -2)
#14 Find an equation of the line with the given y-intercept and slope m
-3, m = 4/3
#20 Find the slope m and the the y-intercept b of the line whose equation is given
4x + 2y = 0
#24 On one graph sketch six straight lines that meet a single point and satisfy this condition: one line has slope 0, two lines have positive slope, two lines have negative slope, and one line has undefined slope. (PLEASE USE GRAPH PAPER)
#34 Determine whether each pair of lines is parallel, perpendicular or neither
2x - 5y = 7 and 15y - 5 = 6x
#36 Determine whether each pair of lines is parallel, perpendicular or neither
X - 3y = 4 and y = 1 - 3x
#42 Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form
(-5, -2),m = 4/5
#46 Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form
(-3, -9),m = 0
#54 Find an equation of the line satisifying the given conditions
Through the origin and horizontal
#58 Find an equation of the line satisfying the given conditions
Through (6,8) and perpendicular to y = 2x - 3
Section 2.3
#6 Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then answer the question.
Finance. The approximate number of tax returns examined by the IRS in 1996 was 1.9 million. IN 2006 it was 1.2 million. (let x = 0 correspond to 1996, and estimate the number of examined returns in 2008)
#18 Business. The accompanying table shows the daily newspaper circulation (in millions)*:
YEAR CIRCULATION
1990 62.3
1995 58.2
2000 55.8
2001 55.6
2002 55.2
2003 55.2
2004 54.5
2005 53.3
a-Find a linear model for the data, with x = 0, corresponding to 1991
b- Assuming the trend continues indefinitely, estimate the circulation in 2010 and 2012
#24 - Finance. The accompanying table gives the median household income (in thousand of dollars) for women living without a spouse (this means that 50% of females earn more than the median and 50% earn less than that amount) for various years*:
YEAR 1980 1990 1995 1997 1998 1999
INCOME 10.4 16.9 19.7 21.0 22.1 23.8
YEAR 2000 2001 2002 2003 2004 2005
INCOME 25.7 25.7 26.4 26.6 27.0 27.2
(a) Find a linear model for these data with x = 0 corresponding to 1980
(b) Intercept the meaning of the slope
Section 2.4
#3 Solve each inequality and graph each solution
-8k ≤ 32
#5 Solve each inequality and graph each solution -2b>0
#13 Solve each inequality and graph each solution
M - (4 + 2m) + 3 < 2m + 2
#21 Solve each inequality and graph each solution 8 ≤ 3r + 1 ≤ 16
#23 Solve each inequality and graph each solution
-4≤ 2k - 1 / 3 ≤ 2 Please note 2K -1 is actually over the number 3
#34 Solve each inequality. Graph each solution using graph paper
|p| > 7
#38 Solve each inequality. Graph each solution using graph paper
|b| > -5
#56 The cost of a taxi in NYC (as of 2008) is $2.50, plus 40 cents for each 1/5 mile. How far could you travel for at least $8.50, but not more than $12.50?
#58 Find all the values of x for which the given products will at least break even
The cost to produce x units of squash is C = 100x+6000, while the revenue if R=500x
#62 Find all the values of x for which the given products will at least break even
C = 25,000x + 21,700,000;R = 102,500x