Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 473023: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. F(x) = 4-x^2
What is the vertex? ____ (Type an ordered pair)
What is the equation of the line of symmetry?
X=___
What is the maximum/minimum of f(x)?
Is that value a minimum or maximum?
Draw a picture of a graph that f(x) represents.
Click here to see answer by Tatiana_Stebko(1539)   |
Question 473418: The main charater in a video game, Tammy, must swing on a vine to cross a river, If she grabs the vine at a point that is too low and swings within 80 cm of the surface of the river, a crocodile will come out of the riverf and catch her. From where she is standing on the river bank, tammy can reach a point on the vine where her height above the river, h, is modelled by the relation h=6x2-56.8+228, where,x, is the horizontal distance of her swing from her starting point. Should Tammy jump?
Please show steps is crucial
Click here to see answer by ccs2011(207)  |
Question 472585: Answer the following questions.
Use Equation Editor to write mathematical expressions and equations.
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?
Click here to see answer by richard1234(7193)  |
Question 473484: Find the equation of quadratic function that has the given vertex and given point.
Vertex (1,3) passing through (4,8)
Welp,I keep trying and redo-ing the problem, but I don't think I'm coming out with correct answer .
Click here to see answer by lwsshak3(11628) |
Question 473515: Hello, I was wondering if you could help me out with this following problems. I have tried them and I am a few issues.
1) x^2 - 3x -10 >(underlined)0
2) X + 1 < 0
over
X - 5
3) 3x - 5 >(underlined)2
over
x + 2
Click here to see answer by stanbon(75887) |
Question 473531: 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.
Ticket sales increase until a peak is reached then the sales decrease
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?
This is what I have so far
0.2x^2 + 12 x + 11
0.2(x^2 -24x + 144 - 144) + 12
0.2(x-24 + 144) + 12+72
0.2*x-12)^2 = 86
The peak would be 12 days after the tickets go on sale and the ticket sale would end in 86 days
Am I on the right track?
Click here to see answer by stanbon(75887) |
Question 473531: 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.
Ticket sales increase until a peak is reached then the sales decrease
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?
This is what I have so far
0.2x^2 + 12 x + 11
0.2(x^2 -24x + 144 - 144) + 12
0.2(x-24 + 144) + 12+72
0.2*x-12)^2 = 86
The peak would be 12 days after the tickets go on sale and the ticket sale would end in 86 days
Am I on the right track?
Click here to see answer by ccs2011(207) |
Question 473532: Aki's Bicycle Designs has determined that when x bicycles are built, the average cost per bicycle is given by C(x) =-0.2x^2-0.1x+9.743, where C(x) is in dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
Click here to see answer by Theo(13342)  |
Question 473555: I am having a terrible time trying to figure this out.
Suppose you own a strip mall. You want to determine the amount of rent you should charge to maximize your profit. The given equation measure the profit, P (is in thousands of dollars), per square foot of rental space (m is dollars per square foot).
1. Does the graph of this equation open up or down? What algebraic information can you use to determine this?
2. Describe what happens to the profit as the rent per square foot is increased. Discuss the different amounts of profit defined by the graph and the equation.
3. Use the quadratic formula to determine the amounts that should be charged for rent that will give you zero profit. Round the value of m to the nearest tenth of a square foot.
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?
4. Will this equation give you a maximum profit or a minimum profit? How do you know?
5. What price should be charged to reach the maximum or minimum profit?
6. How much profit will you have at the peak or low? Remember that the profit is measured in thousands of dollars. Include the proper units.
7. What is the point of the vertex? Calculate this value. How does this number relate to your answers in numbers 5 and 6?
8. How many solutions are there to the equation ? How do you know? Give an algebraic and a written response.
Click here to see answer by stanbon(75887) |
Question 473555: I am having a terrible time trying to figure this out.
Suppose you own a strip mall. You want to determine the amount of rent you should charge to maximize your profit. The given equation measure the profit, P (is in thousands of dollars), per square foot of rental space (m is dollars per square foot).
1. Does the graph of this equation open up or down? What algebraic information can you use to determine this?
2. Describe what happens to the profit as the rent per square foot is increased. Discuss the different amounts of profit defined by the graph and the equation.
3. Use the quadratic formula to determine the amounts that should be charged for rent that will give you zero profit. Round the value of m to the nearest tenth of a square foot.
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?
4. Will this equation give you a maximum profit or a minimum profit? How do you know?
5. What price should be charged to reach the maximum or minimum profit?
6. How much profit will you have at the peak or low? Remember that the profit is measured in thousands of dollars. Include the proper units.
7. What is the point of the vertex? Calculate this value. How does this number relate to your answers in numbers 5 and 6?
8. How many solutions are there to the equation ? How do you know? Give an algebraic and a written response.
Click here to see answer by richard1234(7193) |
Question 473563: Can anyone help me with this?
Suppose you own a strip mall. You want to determine the amount of rent you should charge to maximize your profit. The given equation measure the profit, P (is in thousands of dollars), per square foot of rental space (m is dollars per square foot).
P(d) = -8.3m^2 + 53.1m - 26.5
1. Does the graph of this equation open up or down? What algebraic information can you use to determine this?
2. Describe what happens to the profit as the rent per square foot is increased. Discuss the different amounts of profit defined by the graph and the equation.
3. Use the quadratic formula to determine the amounts that should be charged for rent that will give you zero profit. Round the value of m to the nearest tenth of a square foot.
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?
4. Will this equation give you a maximum profit or a minimum profit? How do you know?
5. What price should be charged to reach the maximum or minimum profit?
6. How much profit will you have at the peak or low? Remember that the profit is measured in thousands of dollars. Include the proper units.
7. What is the point of the vertex? Calculate this value. How does this number relate to your answers in numbers 5 and 6?
8. How many solutions are there to the equation ? How do you know? Give an algebraic and a written response.
Click here to see answer by stanbon(75887) |
Question 473636: Find the x and y intercepts.
F(x)=9x^2+24x+16
The y intercept is ____.
(Type an ordered pair.)
The x intercept is ____.
(Type an ordered pair.)
I think that x= -4/3 and y=16 but i just don't know how to correctly type the answer in an ordered pair or if those are correct. Thanks!
Click here to see answer by Tatiana_Stebko(1539) |
Question 473635: Solve the formula for the given letter. Assume all values represent nonnegative numbers.
a^2+p^2=g^2
Choose the correct value for a.
A. -√(g^2-p^2)(can also be read as negative sqaure root)
B. √(g^2-p^2)(can also be read as square root)
C. g^2-p^2
D. Not Given.
Click here to see answer by Tatiana_Stebko(1539) |
Question 473676: The trajectory of the ball is modelled on the equation y= -x^2/2+3x+8
I need to find how far the ball will be horizontally from the house when it first lands on the ground after being thrown from the balcony.
I,m sure this is very simple to answer but I seem unable to do
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 473936: Give exact and approximate solutions to three decimal places.
x^2+7x-3=0
The exact solutions are x= ___(Use radicals as needed. Use a comma to separate your answers.)
The approximate solutions to three decimal places are x= ____(Use a comma to separate answers.)
Click here to see answer by jim_thompson5910(35256) |
Question 473948: Solve 3x^2-7x-13=0
What are the solutions? X=___(Type exact solutions using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.)
What are the x intercepts?____(Type ordered pairs. Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.)
Click here to see answer by jorel1380(3719)  |
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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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23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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