Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 151131: The baton twirler releases the baton into the air when it is 5 feet above the ground. The initial velocity of the baton is 30 feet per second. The twirler will catch the baton when it falls back to a height of 6 feet. How many seconds is the baton in the air?
Click here to see answer by stanbon(75887)  |
Question 151131: The baton twirler releases the baton into the air when it is 5 feet above the ground. The initial velocity of the baton is 30 feet per second. The twirler will catch the baton when it falls back to a height of 6 feet. How many seconds is the baton in the air?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 151227: 1. Find the variation constant and an equation of variation where y varies directly as x and y=12 when x=6.
2. Divide... (35b^3+18b^2+37b+41)/(5b+4)
3. Solve for x... 4x(x-1)-5x(x)=3
4. A 15 in. TV set also has a width of 12 inches. What is it's height?
Click here to see answer by stanbon(75887) |
Question 151151: A restaurant's aquarium is destroyed in an earthquake. the insurance company is willing to replace the aquarium with one of the same dimensions. The owner can only remember that the diagonal of the front was 45 inches, the length was 9 inches more than the height of the front, and the depths was the same as the height of the front. Find the dimensions of the aquarium.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 151319: Width of border: rectangular flower bed 9' by 5'. 2 colors in the bed, one in center, one for border of the same width on all sides. If she has enough plants to cover 24 ft^2 for the border, how wide can the border be?
Click here to see answer by scott8148(6628)  |
Question 151319: Width of border: rectangular flower bed 9' by 5'. 2 colors in the bed, one in center, one for border of the same width on all sides. If she has enough plants to cover 24 ft^2 for the border, how wide can the border be?
Click here to see answer by stanbon(75887) |
Question 151337: Thank you for your help on this one
skydiving If a skydiver jumps from an airplane at a height of 8256 feet, then for the first five seconds her height above the earth is approximated by the formula h=- 16t^2 + 8256. How many seconds does it take her to reach 8000 feet?
I am thinking 8000= -16t^2 + 8256 16t^2 =256 t^2=16 t=4
so it takes 4 seconds to fall 256 feet is this right? My husband says this can't be right because skydivers fall much faster than that. Thanks Dianne
Click here to see answer by stanbon(75887) |
Question 151429: I am trying to find the vertex for the function: f(x)=x^2 + x - 2. I believe the axis of symmetry is -1/2 since x= -b/2(a)(which should be the x-coordinate) but when I plug it in to find y I am coming up with - 3/2 which doesnt seem correct. Where am i going wrong, and what would be the vertex?
Click here to see answer by jim_thompson5910(35256) |
Question 151427: I am very lost on this word problem. I don't even know where to begin. Could someone explain the steps to me?
A battery manufacturing plant spends C dollars per hour to produce "D" size batteries. An efficiency consultant has determined that C is related to the number of batteries produced per hour, x, according to the equation C(x)=0.01x^2 - 2.6x + 245. What number of batteries per hour minimizes the cost?
76, 130, 245 or 140 batteries.
Am I supposed to plug the number of batteries into the equation for x and solve?
Click here to see answer by scott8148(6628) |
Question 151472: I am trying to find b^2-4ac and the number of real solutions for the equation 16-24x+9x^2=0.
If I put it in standard form ax^2 + ax + a = 0
a=-9 b=24 c=-16
b^2-4ac= 24^2 - 4(-9)(-16)=576-576= 0
So: when the discriminat equals 0 there should be only one solution correct? But how do I find that 1 solution?
Click here to see answer by jim_thompson5910(35256) |
Question 151469: In a complex number system, any quadratic equation has either one or two solutions. (That is the T/F question)
I believe this is false because I thought they will always have 2 solutions but can someone explain if I am wrong?
Click here to see answer by nerdybill(7384)  |
Question 151487: Word problem help. There is a closet door whose height is 4ft more than its width. To keep the closet closed a cable is attached diagonally from one corner to the other. If the cable measures sqrt194/2 ft, what are the dimensions of the door?
I thought the height would be: h=4+w and width would be w. But from there I am lost. How would I set this equation up?
Click here to see answer by scott8148(6628) |
Question 151543: I have answered solved the equation and I believe it is right but I don't know how to check it.
9x^2+24x+15=0
(3x+5)(3x+3)
(3x+5)=0
3x=-5
x= -5/3
or
(3x+3)=0
3x=-3
x=-1
Now when I try to put it in the original equation to check it... my problem is
9(-5/3)^2+24(-5/3)+15 I don't know how to do the fractions with exponents so can you show me how to do the equation to check it? Thanks Dianne
Click here to see answer by jim_thompson5910(35256) |
Question 152243: 3. In your industrial oven, you bake two baking sheets with 12 scones each, two baking sheets with 20 cookies each, and one baking sheet with 2 scones and 10 cookies.
a) Write an expression that illustrates the total cost of all baked goods in the scenario above using the variable s to represent the cost of scones and the variable c to represent the cost of cookies. Simplify your expression by combining like terms.
b) Suppose you have decided to price the scones at $2.28 each and the cookies at $1.19 each. How much total revenue would result from selling all the scones and cookies baked in the oven at one time?
c) Yesterday your store earned $797.30 just from the sale of cookies. Write and solve an equation that represents how many cookies were sold.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 152440: Hi,
How would I write the following equations?
Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as:
1. Integers
2. Rational numbers
3. Irrational numbers
Thanks for your help
Jimmy
Click here to see answer by Fombitz(32388)  |
Question 152616: Use the quadratic formula to solve the following equation:
9x^2 - 12x = 4
The answer I worked was:
9x^2 - 12x - 4 = 0
x = -12 +/- sqrt 12^2 - 4(9)(4) / 2 (9)
x = 0/18
x = 0
However, in the book, it shows the answer as:
2/3(1 - sqrt 2); 2/3(1 + sqrt 2)
Can you please explain how I get to this answer? What am I doing wrong?
Thank you sooo much for your help.
Click here to see answer by Edwin McCravy(20054)  |
Question 152714: Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 60 miles per hour. Train A passes a station at 10:25 A.M.. If train B passes the same at 10:40 A.M. at what time will train B catch up to train A? i have determined that
Train A is going .67 miles per minute that is as far as I have got
Click here to see answer by neodudesam(4) |
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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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