Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 26270: I am horrible at word problems, and am stuck on this one. Can anyone offer any assistance?
The number of pens sold varies inversely as the price per pen. If 4000 pens are sold at a price of $1.50 each, find the number of pens sold at a price of $1.20 each.
Thank you!!

Click here to see answer by Paul(988) About Me 

Question 26266: Solve for y: +4y%5E2+%2B+20y+%2B+25+=+0+
Click here to see answer by ellygirl5969(8) About Me 

Question 26269: Can anyone help me on a word problem, putting the situation into a formula, and solving? I am struggling on this one:
Great white sharks have triangular teeth with a height that is 1 centimeter longer than the base. If the area of one tooth is 15 square centimeters, find it's base and height.
I have played with formulas and keep scratching my head. Any help would be appreciated!

Click here to see answer by stanbon(57342) About Me 

Question 26264: I am hung up on a word problem. Can anyone help? It is:
A rectangle with length 2x-1 inches has an area of 2x^2 + 5x - 3 square inches. Write a binomial that represents its width.
Thank you for any help you can give me.

Click here to see answer by venugopalramana(3286) About Me 

Question 26265: I don't know where to begin on a problem here. Can someone help me out?
Evaluate g(x) = x^2 + 4x for
a. g(2)
b. g(-2)
Thank you!

Click here to see answer by longjonsilver(2297) About Me 

Question 26423: A fraternity charters a bus for a ski trip at a cost of $360. When 6 more students join the trip, each person's cost decreases by $2. How many students were in the original group of travelers?
This is my work.
6(x-2)(x-2)=360
6x squared -24x + 24 -360=0

Click here to see answer by Paul(988) About Me 
Question 26423: A fraternity charters a bus for a ski trip at a cost of $360. When 6 more students join the trip, each person's cost decreases by $2. How many students were in the original group of travelers?
This is my work.
6(x-2)(x-2)=360
6x squared -24x + 24 -360=0

Click here to see answer by stanbon(57342) About Me 

Question 26445: The sum of the reciprocals of two consecutive even numbers is 7/24. Find the numbers.
Click here to see answer by AnlytcPhil(1276) About Me 

Question 26446: A wire 48 centimeters long is cut into two pieces. Each piece is bent to form a square. Where should the wire be cut so that the sum of the areas of the squares is equal to 1280 square centimeters?
Click here to see answer by Paul(988) About Me 

Question 26171: if x is a positive real number, show thata x+(4/x)>=4. When does equality hold?
Click here to see answer by venugopalramana(3286) About Me 

Question 26253: I'm having trouble with the following problem. Could someone please help me divide the problem below into the simplest form, showing work steps:
3y - y^2 +2y^3 +2 divided by 2y + 1
Thank you!

Click here to see answer by Earlsdon(6287) About Me 

Question 26483: Need to solve quadratic equation using any appropriate method. x^2/10 - x/5 + 2 = 0 What method can be used? How do you solve?
Click here to see answer by stanbon(57342) About Me 

Question 26172: if x and y are positive real numbers, use the fact that t+(1/t)>=2 for positive numbers to show that (x+y)(xy+1)>=4xy.
Click here to see answer by venugopalramana(3286) About Me 

Question 26497: How do i do this question:
(x-2)(x+3)/(x-4) > 0

Click here to see answer by stanbon(57342) About Me 
Question 26497: How do i do this question:
(x-2)(x+3)/(x-4) > 0

Click here to see answer by venugopalramana(3286) About Me 

Question 26641: Please could you help with this equation
Solve the following equation for x ( 3coshx + 5sinhx = 8)
I've this far but can't finish the rest
3coshx + 5sinhx = 8
3[ex+/-x]/2+5[ex-e-n] = 8
1.5 [ex+-x]+2.5[ex-e-x] = 8
1.5ex+1.5ex+2.5ex-2.5e-x = 8
4ex-1x = 8
4(ex)2 – 8ex-1 = 0
A B C

Click here to see answer by venugopalramana(3286) About Me 

Question 26642: find the gradient of a line that passes through the following pair of points.
(2,3) and (3,2)

Click here to see answer by longjonsilver(2297) About Me 

Question 26693: 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?
How in the world do you do this? lol HELP!

Click here to see answer by Paul(988) About Me 

Question 26689: i dont know how to work this problem out- 9x squared = 4
Click here to see answer by longjonsilver(2297) About Me 

Question 26784: Im so stuck. I know the answer i just don't know how to show my work. The base of a triangle is 4cm less than the hight. The area is 96cm, what is the hight.
Click here to see answer by Paul(988) About Me 

Question 26884: The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?
Can you please help me?! This is due soon and I've been racking my brain at it and still can't get it.....

Click here to see answer by Paul(988) About Me 

Question 26934: I have a worksheet on "factoring trinomials using trail and error." I was doing fine until I came apon a set of questions that weren't like the others. For example, I was doing ones like: 2x^2+11x+15. I understand how to do ones like that but not ones like: 36a^2+60ab+25b^2. What is messing me up is that I don't know how to put the equation in descending order and that the middle number has two variables.
Click here to see answer by Earlsdon(6287) About Me 

Question 25750: Hello,
My name is Michael. I usually do well in Algebra 2, but recently failed my vertex-form and quadratic equations test.
Question: If given a graph, with a vertex of (-3,4) and points (-4,3) and (-5,0).. how do I write this in standard form?

Click here to see answer by venugopalramana(3286) About Me 

Question 26950: Thank you for your help! I have now come upon another type of equation on this worksheet that I don't understand. example: 25x^2-15xy+2y^2 I am not sure how to factor using trail and error on this one because of all the variables.
Click here to see answer by elima(1433) About Me 

Question 27097: Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers.
So, um yeah I don't get this one at all.

Click here to see answer by Paul(988) About Me 

Question 27151: The path of a platform diver can be described by the equation y=-2x^2+15x+6, where x is the horizontal distance in meters of the diver from the edge of the platform and y is the height of the diver in meters above the surface of the water.In horizontal distance, about how far in front of the platform will the diver enter the water?
I cant seem to break this down and get an answer?
Thanks SOOOOO Much for any help!

Click here to see answer by bmauger(101) About Me 

Question 27170: I was givin the following question.
The quadratic equation +x%5E2%2Bkx%2Bk=0+ has no real roots for x.
1) Write down the discriminant of +x%5E2%2Bkx%2Bk+ in terms of k.
2) Hence find the set of values that k can take.
If somebody could help me. Thanks

Click here to see answer by josmiceli(9676) About Me 

Question 27320: Help..I can't figure out how to do this problem: the square of 2y+7, plus 4 = y. I keep trying to isolate y, but because it is on both sides of the equal sign, I can't figure out how to do it and my book doesn't explain it well at all. I simplified it by doing the square of 2y plus the square of 7 = y-4, but then I'm not putting the y on the left. Can someone help straighten me out on this?
Click here to see answer by bmauger(101) About Me 

Question 27348: xsquared-3x=4
Click here to see answer by Alwayscheerful(414) About Me 

Question 26614: ihave to find the quadratic model in standard form for each of the set values. The values are: (0,3) (1,10) (2,10). i have already figured the vertex it (0,3) but after that im lost. PLEASE HELP
Click here to see answer by venugopalramana(3286) About Me 

Question 27379: I have a test tomorrow and i need to understand how to work complicated word problems on Quadratic functions. Here it is... Scouts used a slingshot to launch a small rock upward from a cliff 250 feet above a river. The initial velocity was 320 feet per second. The formula h=250+320t-16t^2 gives the height in feet h of the rock relative to the river after t seconds. A) What is the maximum height reached by the rock? B) After how many seconds did the rock reach its maximum height? C) After how many seconds did the rock strike the river?
Click here to see answer by stanbon(57342) About Me 

Question 27483: When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminate is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )· Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation. · What are examples of quadratic equations or applications with imaginary numbers?
Click here to see answer by longjonsilver(2297) About Me 

Question 27496: I'm really lost on this problem and there are no examples in my book. Please help!
z/(z+3) = 3z/(5z-1)

Click here to see answer by AnlytcPhil(1276) About Me 

Question 27599: Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be?
Click here to see answer by mbarugel(146) About Me 

Question 27644: PLEASE SOLVE using quadratic formulas 3x2 -4x+1=0
Click here to see answer by askmemath(368) About Me 

Question 27658: Using the quadratic equation x3 - 4x + 3 = 0
1. Solve by factoring
2. Solve by completing the square
3. Solve by using the quadratic formula
Can someone help me with this?
Thanks so much

Click here to see answer by bmauger(101) About Me 

Question 27655: A rectangular picture is 13 by 15 inches. A frame of the same width all the way around has an area of 93 square inches. What is the width of the frame.
I tried but I was getting nowhere I asked my dad but he couldn't help either. Can you?

Click here to see answer by bmauger(101) About Me 

Question 27649: The path of a platform diver can be described by the equation y=-2x^2+15x+6, where x is the horizontal distance in meters of the diver from the edge of the platform and y is the height of the diver in meters above the surface of the water. In horizontal distance, about how far in front of the platform will the diver enter the water?
A)2 meters
B) 3 meters
C) 8 meters
D) 15 meters
Can you tell me how to figure this out? I do appreciate it!!!!!

Click here to see answer by longjonsilver(2297) About Me 

Question 27608: I dont know how to solve 5(x-3)+4=-3x+25=
Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 27659: 1.find three consecutive negative integers such that the product of the first and third is 24.
Click here to see answer by mbarugel(146) About Me 

Question 27595: Do all quadratic equations have all four of the points, vertex, y-intercept and the x-intercepts?
Click here to see answer by longjonsilver(2297) About Me 

Question 27714: If f(x) = X^2-7x+10 and f(t+1)=0, what is a possible value of t, and how do you figure that out. thanks!
Click here to see answer by askmemath(368) About Me 

Question 27708: what the solution for the equations x^2-y^2=9
x^2+9y2=169
thank you

Click here to see answer by wuwei96815(245) About Me 

Question 27213: Okay this is a really long problem that my math teacher gave me :-( and i'm stuck.
The problem is: 2x^6+3x^5+8x^4+15-2+12x-8=0
1) How many solutions are there and why?
*There are 6 because thats the highest degree.
2) How many real and imaginary answers are there?
* I think there are 3, 1, or 0 real positive and 3,1, or 0 real negative numbers... and i have no idea how many imaginary...
3) Solve for all 6 answers (and show wokr):
* I punched it into my calculator and figured out the first two answers (x-(1/2)) and (x+2)then i used each with synthetic division with the problem and broke it down to:
2x^4+10+8
Then I took out a 2
2(x^4+5+4)
Then i broke it down:
2(x^2+4)(x^2+1)
So thats what I have so far, (x-(1/2)) and (x+2) i only need 4 more but i have no idea where to go from here. Any help would be great! Thanks!

Click here to see answer by venugopalramana(3286) About Me 

Question 27724: Can someone help?
Thanks
When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminate is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
•Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation.

Click here to see answer by stanbon(57342) About Me 

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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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