Reference no: EM131028803

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