Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 150746: 1. Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).
a. Does the graph of this equation open up or down? How did you determine this?
b. Describe what happens to the tickets sales as time passes?
c. Use the quadratic equation to determine the last day that tickets will be sold. (Note: Write your answer in terms of the number of days after ticket sales begin.)
d. Will tickets peak or be at a low during the middle of the sale? How do you know?
e. After how many days will the peak or low occur?
f. How many tickets will be sold on the day when the peak or low occurs?
g. What is the point of the vertex? How does this number relate to your answers in parts e and f?
h. How many solutions are there to the equation ? How do you know?
i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?
Click here to see answer by stanbon(75887)  |
Question 150771: Here is my problem with the equation this time...
1. Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).
Tickets: -0.2x^2+12x+11
a. Does the graph of this equation open up or down? How did you determine this?
b. Describe what happens to the tickets sales as time passes?
c. Use the quadratic equation to determine the last day that tickets will be sold. (Note: Write your answer in terms of the number of days after ticket sales begin.)
d. Will tickets peak or be at a low during the middle of the sale? How do you know?
e. After how many days will the peak or low occur?
f. How many tickets will be sold on the day when the peak or low occurs?
g. What is the point of the vertex? How does this number relate to your answers in parts e and f?
h. How many solutions are there to the equation ? How do you know?
i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?
Click here to see answer by stanbon(75887) |
Question 150612: A landscaping company is laying out a triangular flower bed. The height of the triangle is 12 ft. What lengths of the base will make the area at least 204 ft squared.
The base must be least __ ft.
Click here to see answer by elima(1433) |
Question 150829: Hi, please answer this question.
I have: x^2-x-5=0. I know how to solve this using the quadratic equation method. The answers I get are (1+-sqrt(21))/2.
But instead of using the quadratic formula, can't I just say:
x^2-x=5
x(x-1)=5
x=5 or x=6
How come this answer is different from the one using the quadratic formula???
Thank you.
Click here to see answer by jim_thompson5910(35256) |
Question 150893: 1. A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 150916: Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of tickets sales for each day x. (x=1 is the day tickets go on sale).
Tickets= -0.2x^2+12x+11
a. Does the graph of this equation open up or down? How did you determine this?
b. Describe what happens to the ticket sales as time passes?
c. Use the quadratic equation to determine the last day that tickets will be sold.(Note Write your answer in terms of the number of days after tickets sales begin)
d. Will tickets peak or be at a low during the middle of the sale? How do you know?
e. After how many days will the peak or low occur?
f. How many tickets will be sold on the day when the peak or low occurs?
g. What is the point of the vertex? How does this number relate to your answers in parts e and f?
h. How many solutions are there to the equation -0.2x^2+12x+11=0? How do you know?
i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?
Click here to see answer by stanbon(75887) |
Question 150998: You have an object. That object is dropped from a height of x feet. The height of the object at any time is y, in seconds. This is given by the following equation:
15y^2 + x = h
How long does it take an object dropped from 500 feet to hit the ground?
Click here to see answer by tweevy(2) |
Question 150991: 1. Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?
Click here to see answer by mducky2(62) |
Question 151026: (1) x+3y=6 (2) x=2 (3) y=-1 (4)Determine wether graphs of pairs of line are parallel x+11=y and y-x=-7 (5) Determine wether the graph of the pair of lines are parallel 3x+6=y and 2y=6x-5 yes or no (6) same question as (5) but this equation as a perpendicular 2x-3y=7 and 2y=3x=3 yes or no (7) Find the slope-intercept equation of the line that has the given characterctics slope 3 and y-intercpt (0,6) The slope-intersept equation is y= (8) As question as (7) bt this equation Slope 1.7 and y-intercept (0,-2) Th slope-intercept equation y= (9) Find an equation of line having the given slope and containing the given point m=7(8,3) The equation of lines is y= (10) find an equation of the line having the given slope and containing the given point m=6/7,(5,-5) The equation of the lines is y= (11) Find an equation of the line containing the given pair of points. Express your answer in the form x=b,or y=mx+b What is an equation of the line? y= Simiplify the answer (12) Find an equation of the line conatining the given of points (-3,-4) and (-7,-5) The equation of the line is y= simifily the answer. Use integers or fraction or any number expression.(13) Find an equation of the line containing the given pair of points (1/4,1/2 and 3/4,5 What is the equation of the line y= Simpifly the answer. Type answer in the form y=mx+b using integers or fraction (14) Wrie an equation of the line containing thegiven point and parallel to line givn Express answer in the form y=mx+b (6,8);x+7y The eqation of line is y= Simipfily, use integers or fraction for number in expression (15) Write an equation of the line containing the given points and parallel to given line express the answer in form of y=mx+b (-3,6);3x=4y+7 Line y= (16) write an equation of the line containing the given point and perpendicular to given line (4,5);6x+y=4 (17)same as (16) but perpendicular (8,-7);4x+7y=3 y= (18)Media Services charges $30. for the phone and $20./month for its economy plan cost, C(t) of operating a Media Services phone for (t)months. C(t)= (19) The table list data regarding the average salaries of serveral professional athletes in the years 1991 and 2001. a) Use the data points to find a linear function that fits the data. b) Use the function to perdict the average salary in 2005 and 2010. Data year 1991 average salary $252,000. and 2001 $1,470,000 A linear function that fits the data is S(x)= Let x= the number of years since 1990, and let S= the average salary x yeras from 1990. (20) In 1920 the record for a certain race was 46.6 sec. In 19940, it was 46.0 sec. Let R(t)= the record in the race and t= the number of year since 1920 a) Find a linear function that fits the data b) Use the function in(a) to perdict the record in 203 and 2006. c) Find the year when the record will be 43.8 sec. Find a linear function that fts the data R(t)= Round to the nearest Hundreth (21)In 1995, the life expectancy of males in a certain county was 71.9 years. in 1999, it was 75.8 years. let E represent the life expectancy in year (t) and let (t) represent the number of years since 1995 The linear function E (t) that fits the data is E(t)= answer (t)+ answer round to nearest tenth
Click here to see answer by Fombitz(32388)  |
Question 151048: Word Problem
A student is given this formula to calculate their grade for the term
Course Grade is determined as follows:
Course Grade = 0.30(Quiz Avg) + 0.10(Participation) + 0.15(Exam 1) + 0.15(Exam 2) + 0.30(Final Exam
.30(Quiz Average) + .10 ( Participation) + .15 (Exam 1) + .15 (Exam 2) + .30 ( Final exam) equals the final grade.
Given this information what is the expected grade?
Quiz Average=84
Participation=120
Exam 1=50
Exam 2=90
Final exam=30
Click here to see answer by Fombitz(32388) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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