Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 25608: I am trying to help a homeschooled student with algebra. We are stumped on a problem. It's on a page where you are supposed to use the quadratic formula to solve but i'm having a hard time setting up the equation. It says; working alone Colleen can paint a house in 2 h less than James. Working together, they can paint the house in 10 h. How long would it take James to paint the house by himself? Thank you!
Click here to see answer by elima(1433)

Question 25616: I have two problems I need help with. The first one is {8x+1} = x+2 and the second one is 4{2x} + 4{x+3} = 0 We tried several times not being able to solve. Thank you in advance.
Click here to see answer by queenofit(120)

Question 25640: For what values of x and y does (x+y)^3=x^3+y^3?
Click here to see answer by stanbon(75887)

Question 25661: Consider the equation with the formula y=x squared+6x-1 A)find the values of x when y=0 B) find the vertex of the parabola C) graph the parabola and d) give the line of symmentry
I believe for part B i first must get the formula into vertex form and that should help me with the rest of the parts to the question but for part A, I do not understand how i would answer with the qaudratic Formula. Would it be -6 plus or minus the square root of 6 squared - 4*a*c over 2*a ?
Click here to see answer by stanbon(75887)

Question 24542: please put the function in the form
what is its line of symmetry?
how it compares to graph of ?
Click here to see answer by venugopalramana(3286)

Question 25681: Can someone please help me with this problem? I am stumped! This is the problem:
Show how the quadratic formula can be expressed as:
�

let p= and q=
It says that it can be derived by "completing" the square of a quadratic equation. A response to this problem would really make my day!
Click here to see answer by venugopalramana(3286)

Question 24762: Could you please help me answer 2 question. It would be greatly appreciated since i am having great difficulty and would need the answers asap.
John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be?
Answer:
and
2) For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
b) What is the line of symmetry?
c) Graph the function using the equation in part
a. Explain why it is not necessary to plot points to graph when using y = a (x � h)2 + k.
Show graph here.
Explanation of graphing.
d) In your own words, describe how this graph compares to the graph of y = x2?
Click here to see answer by venugopalramana(3286)

Question 24896: 2) For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space

b) What is the line of symmetry?
Answer:

c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h)2 + k.
Show graph here.

Explanation of graphing.

d) In your own words, describe how this graph compares to the graph of y = x2?
Answer:

Click here to see answer by venugopalramana(3286)

Question 25735: The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs. Every solution that I come up with is not a whole number or does not work when you try to check it.
Click here to see answer by Paul(988)

Question 25752: find the standard form for the equation of a circle (x-h)sqrd + (y-k)sqrd=rsqrd with a diameter that has endpoints (0,-7) and (4,-10) . i gor h=2 and k=-8.5 but rsqrd=?
Click here to see answer by venugopalramana(3286)

Question 25808: can you help me answer this question
2(5x-1)=4-3x/2
Click here to see answer by atif.muhammad(135)

Question 25808: can you help me answer this question
2(5x-1)=4-3x/2
Click here to see answer by jen0921(1)

Question 25817: The problem is:
A DVD company wants to maximize its revenue. the company now sells dvd's for $40 each and they have 6000 customers. a study suggests that for every $2.00 increase in price they will lose 200 customers. what should be the selling price to maximize the company's revenue? what will that revenue be?
So far I've written an equation:
let R= revenue
let x= # of $2 increases
R=(6000-200x)(40+x)
When i try to solve, I get: x=-5 and R=245000 but I know x can not be negative.
Click here to see answer by Paul(988)

Question 25852: Find two consecutive integers such that the sum of 4 times the first integer and 8 times second integer is 68.
Click here to see answer by elima(1433)

Question 25895: 11x^2+33x=0
Click here to see answer by Linz(9)

Question 25931: Please help me find the vertex and intercepts for this quadratic function, and help me to sketch its graph.
y = x^2 - 6x
Click here to see answer by venugopalramana(3286)

Question 25938: Please help me find the vertex and intercepts for this quadratic function, and sketch its graph.
y = -3x^2 + 6x
Click here to see answer by venugopalramana(3286)

Question 25938: Please help me find the vertex and intercepts for this quadratic function, and sketch its graph.
y = -3x^2 + 6x
Click here to see answer by Earlsdon(6294)

Question 25937: Please help me find the vertex and intercepts for this quadratic function, and sketch its graph.
y = -2x^2 + 8x
Click here to see answer by venugopalramana(3286)

Question 25934: Please help me find the vertex and intercepts for this quadratic function, and help me to sketch its graph.
y = x^2 + 4x
Click here to see answer by venugopalramana(3286)

Question 25954: Could someone help me find the complex solution of the following:
a. 2x^2 + 3 = 3x
b. 1/2x^2 - 5x + 13 = 0
Click here to see answer by elephantsize(7)

Question 26045: 6sin^2x - sinx - 2 = 0
Click here to see answer by AnlytcPhil(1806)

Question 26163: The problem is about using the addition and multiplication principles together. Here is problem #46:
3(x-2)+2=2(x-4) How do I go about doing this problem?
Click here to see answer by stanbon(75887)

Question 26263: Can anyone help me with a word problem that I am stuck on? I need to put it into an equation and solve it. It is:
As part of an exercise regiment, you walk 2 miles on an indoor track. Then you jog at twice your walking speed for another 2 miles. If the total time spent walking and jogging is 1 hour, find the walking and jogging rates.
Thank you!
Click here to see answer by Paul(988)

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)

Question 26266: Solve for y:
Click here to see answer by ellygirl5969(8)

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(75887)

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)

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)

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)

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(1806)

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)

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(6294)

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(75887)

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)

Question 26497: How do i do this question:
(x-2)(x+3)/(x-4) > 0
Click here to see answer by stanbon(75887)

Question 26497: How do i do this question:
(x-2)(x+3)/(x-4) > 0
Click here to see answer by venugopalramana(3286)

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)

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)

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)

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

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)

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)

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(6294)

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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