Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 325572: A boat went 10km upstream against the current then turned around and went 15km downstream with current. The current speed was 3km/hour and upstream trip took 30 minutes longer. What was the speed of the boat without the speed of the current?
Click here to see answer by mananth(16946)  |
Question 325620: The path of a ball projected in the air can be represented by the equation h=-16t^2+64t where h represents height, and t represents time. At what times is the ball 48 feet high?
a.)-1 second and -3 seconds
b.)1 second and 3 seconds
c.)1 second and 4 sesconds
d.)1 second and 2 seconds
Click here to see answer by AAfter Search(61) |
Question 325620: The path of a ball projected in the air can be represented by the equation h=-16t^2+64t where h represents height, and t represents time. At what times is the ball 48 feet high?
a.)-1 second and -3 seconds
b.)1 second and 3 seconds
c.)1 second and 4 sesconds
d.)1 second and 2 seconds
Click here to see answer by juicystarr17(1) |
Question 325849: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equations in standard form, ax^2+bx+c=0.
Solution: 1, only solution. The equation is what =0?
Solution: 10, only solution. The equation is what =0?
-sqrt(6),6sqrt(6). The equation is what =0?
Click here to see answer by solver91311(24713)  |
Question 325792: Could you help me please? If a pro basketball player has a vertical leap of about 20 inches, what is his hang time? Use the hang-time function V=48T^2. His hang time is how many seconds? Need to simplify answer and use a integer or a decimal rounded to the nearest tenth. Thank you.
Click here to see answer by solver91311(24713)  |
Question 325806: The flower garden has the shape of a right traingle. 51 ft. of a perennial border forms the hypotenuse of the traingle, and one leg is 21 ft. longer than the other leg. Find the lengths of the legs. What are the lengths of the legs in ft?
Click here to see answer by checkley77(12844) |
Question 325887: . Four research participants take a test of manual dexterity (high scores mean better dexterity) and an anxiety test (high scores mean more anxiety). The scores are as follows.
Person Dexterity Anxiety
1 1 10
2 1 8
3 2 4
4 4 -2
Click here to see answer by stanbon(75887) |
Question 325884: Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that people should spontaneously follow a 24-hour cycle of sleeping and waking—even if they are not exposed to the usual pattern of sunlight. To test this notion, eight paid volunteers were placed (individually) in a room in which there was no light from the outside and no clocks or other indications of time. They could turn the lights on and off as
they wished. After a month in the room, each individual tended to develop a
steady cycle. Their cycles at the end of the study were as follows: 25, 27, 25, 23,
24, 25, 26, and 25. Using the .05 level of significance, what should we conclude about the theory that 24 hours is the natural cycle? (That is, does the average cycle length under these conditions differ significantly from 24 hours?) (a) Use the steps of hypothesis testing. (b) Sketch the distributions involved. (c) Explain your answer to someone who has never taken a course in statistics.
Click here to see answer by stanbon(75887) |
Question 326122: Two airplanes are leaving O'Hare at the same time, on bound for New york and the other for california. The one heading to California has a tail wind and is thus going 25MPH faster than the one headed for New York. If after one hour they are 575 miles apart, what are their speeds?
Click here to see answer by solver91311(24713)  |
Question 326227: Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like the best? Why? What circumstances would cause you to use a different method?
Click here to see answer by solver91311(24713)  |
Question 326200: A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 4 ft less than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 2 ft less than the length of the ladder?
Click here to see answer by Fombitz(32388)  |
Question 326513: I need to create a quadratic equation that has solutions of x=6 and x=3. I'll provide what I have so far but it is still not coming out correctly. Could you please help? I have: x-6=0 and x-3=0, (x-6)(x-3)=0, x^2-6x-3x+18=0, x^2-3x+18=0. Please advise. Thank you.
Click here to see answer by solver91311(24713)  |
Question 326590: 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=02.x^2+12+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 solver91311(24713)  |
Question 327046: I need to setup a quadratic expression and work it for this word problem. Could someone help me.
You have two rooms that are 12 x 24 that need wood flooring. Each box of wood flooring has 22.7 square ft in them. How many boxes would you have to have to finish both floors?
Click here to see answer by Theo(13342)  |
Question 326913: Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Why?
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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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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