Tutors Answer Your Questions about Linear-equations (FREE)
Question 1182433: List the similarities and differences in the two functions below in terms of the x-intercept(s), the yintercepts, domain, range, base, equation of the asymptote and end behaviour for the following:
a) y=-2 log (x) b) y = 4/3 in(x)
similarities
Differences
Click here to see answer by ikleyn(52781)   |
Question 1181927: Assume that the real-world context can be accurately modeled with a linear function.
Between 1900 and 2003, the life expectancy for men and women in the United States increased dramatically. For men, life expectancy increased from 48 to 75 years. For women, life expectancy increased from 51 to 80 years.†
Model male life expectancy M as a function of female life expectancy f. (Round your coefficients to two decimal places.)
Click here to see answer by josgarithmetic(39617) |
Question 1182505: College Costs The mean undergraduate cost for
tuition, fees, room, and board for four-year institutions
was $26,489 for a recent academic year. Suppose
that s $3204 and that 36 four-year institutions are
randomly selected. Find the probability that the sample
mean cost for these 36 schools is
a. Less than $25,000
b. Greater than $26,000
c. Between $24,000 and $26,000
Click here to see answer by Boreal(15235)  |
Question 1183036: Dvdcom and Associates manufacture DVDs. Its costs, $C, are given by the rule C = 4n + 2400, and its revenue, $R, is given by the rule R = 6n, where n is the number of DVDs produced. Sketch the graphs of C and R on the same set of axes and determine the number of DVDs to be produced if the costs are equal to the revenue.
Click here to see answer by ikleyn(52781) |
Question 1183145: (Think Metric) C = (9/5) F - (160/9) is an equation relating temperature in Celsius units to temperature on the
Fahrenheit scale. Let C = degrees Celsius and F = degrees Fahrenheit; assume the equation is graphed with C
measured on the vertical axis.
(a) Identify the slope and C intercept.
(b) Interpret the meaning of the slope and C intercept for purposes of converting from Fahrenheit to Celsius
temperatures.
(c) Solve the equation for F and rework parts a and b of F is plotted on the vertical axis.
Click here to see answer by josgarithmetic(39617) |
Question 1183143: The book value of a machine is expressed by the equation V = 60,000 - 7,500 t
Where V equals the book value in dollars and t equals the age of the machine expressed in years.
(a) Identify the t and V intercepts.
(b) Interpret the meaning of the intercepts.
(c) Interpret the meaning of the slope.
(d) Sketch the function.
Click here to see answer by Theo(13342)  |
Question 1183144: (Product Mix) A company produces two products. Weekly labor availability equals 150 labor-hours. Each unit
of product 1 requires 3 labor-hours and each unit of product 2 requires 4.5 labor-hours. If management wishes to
use all labor hours, the equation 3x + 4.5 y = 150 is a statement of this requirement, where x equals the number
of units produced of product 1 and y equals the number of units produced of product 2. Rewrite the equation in
slope-intercept form and interpret the meaning of the slope and y-intercept. Solve for the x intercept and
interpret its meaning.
Click here to see answer by Theo(13342) |
Question 1183169: I understand that I need to use a recursive equation and I am still not getting the correct answer.
A population of 40 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 700 deer, so the growth is described by the logistic equation. Absent constraints, the population would grow by 80% per year.
Predict the population after one year
p1 =
Predict the population after two years
p2 =
Click here to see answer by ikleyn(52781) |
Question 1183142: (Women in labor force) The number of women in the labor force is expected to increase in 1990s, but not as
dramatically as occurred during the 1970s. One forecasting consultant uses the linear equation n = 29.6 + 1.20 t
to predict the number of women between the ages of 35 and 44 who will be in the labor force. In this equation, n
equals the number of women (aged 35 to 44) in the labor force (measured in millions) and t equals time
measured in years since 1981 ( t = 0 corresponds to 1981). If n is plotted on the vertical axis:
(a) Graph the equation.
(b) Identify the slope and y-intercept (n-intercept here)
(c) Interpret the meaning of the slope and n-intercept in this application.
(d) Predict the number of women in this age group who will be in the labor force in 1995. In the year 2000.
The chamber of commerce for a summer resort is trying to determine how many tourists will be visiting each
season over the coming years. A marketing research firm has estimated that the number of tourists can be
predicted by the equation p = 275,000 + 7,500 t, where p = number of tourists per year and t = years (measured
from this current season). Thus t = 0 identifies the current season, t = 1 is the next season, etc. If p is plotted on
the vertical axis:
(a) Graph the equation.
(b) Identify the slope and y-intercept (p-intercept here).
(c) Interpret the meaning of the slope and p-intercept in this application.
Click here to see answer by ikleyn(52781) |
Question 1183172: Find an equation of the line through the point (2, -4) with slope -1/3
Find an equation of the line through (2, -7) and parallel to x+3=8
Find the equation of the line that passes through the point (4, 6) and is perpendicular to the line x=-4
Click here to see answer by Edwin McCravy(20055)  |
Question 1183172: Find an equation of the line through the point (2, -4) with slope -1/3
Find an equation of the line through (2, -7) and parallel to x+3=8
Find the equation of the line that passes through the point (4, 6) and is perpendicular to the line x=-4
Click here to see answer by mccravyedwin(407)  |
Question 1183172: Find an equation of the line through the point (2, -4) with slope -1/3
Find an equation of the line through (2, -7) and parallel to x+3=8
Find the equation of the line that passes through the point (4, 6) and is perpendicular to the line x=-4
Click here to see answer by Plocharczyk(17) |
Question 1183160: (Women in labor force) The number of women in the labor force is expected to increase in 1990s, but not as
dramatically as occurred during the 1970s. One forecasting consultant uses the linear equation n = 29.6 + 1.20 t
to predict the number of women between the ages of 35 and 44 who will be in the labor force. In this equation, n
equals the number of women (aged 35 to 44) in the labor force (measured in millions) and t equals time
measured in years since 1981 ( t = 0 corresponds to 1981). If n is plotted on the vertical axis:
(a) Graph the equation.
(b) Identify the slope and y-intercept (n-intercept here)
(c) Interpret the meaning of the slope and n-intercept in this application.
(d) Predict the number of women in this age group who will be in the labor force in 1995. In the year 2000.
Click here to see answer by Boreal(15235) |
Question 1183225: Find the equation of the line through point (−5,5) and perpendicular to y=59x−4. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).and the next problem is Find the equation of the line through point (−1,2) and perpendicular to x+3y=3. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Click here to see answer by josgarithmetic(39617) |
Question 1183225: Find the equation of the line through point (−5,5) and perpendicular to y=59x−4. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).and the next problem is Find the equation of the line through point (−1,2) and perpendicular to x+3y=3. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Click here to see answer by MathTherapy(10552)  |
Question 1183237: Qn7)
A company finds that its daily sales begin to fall after the end of an advertising campaign, and the decline is such that the number of sales is S = 2000(2-0), where x is the number of days after the campaign ends.
(a) How many sales will be made 10 days after the end of the campaign? (b) If the company does not want sales to drop below 350 per day, when should it start a new campaign?
Click here to see answer by ikleyn(52781) |
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14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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