Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 176790: Solve 2x^2-6x-3=0 Which one is the answer? I can work it all the way to were x= +6 ± √60/4...I get stuck after that part.
A) -3+√15/2 and -3-√15/2
B) 3+2√15/2 and 3-2√15/2
C) There are no real solutions
D) 3+√15/2 and 3-√15/2

Click here to see answer by Alan3354(30993)

Question 176811: Choose the answer that lists all the quadrants in which the solution points are located for this system of inequalities:
2x + y <= 6
y >= 1

Click here to see answer by stanbon(57412)

Question 176813: The length of a rectangle is 3in. more than twice its width. If the perimeter of the rectange is 30in., find the dimensions of the rectangle. Choose the answer with the correct equations used to solve this problem.

Click here to see answer by nerdybill(6963)

Question 176887: how many gallons of paint do i need to fill a square x feet high
Click here to see answer by Mathtut(3670)

Question 176901: Please help. Find the vertex, line of symmetry, minimum and maximum value for the quadratic equation. I can do it all after finding the vertex, but I am unsure of how to find it.
f(x)= 4-x^2
Thank you
Click here to see answer by stanbon(57412)

Question 176902: Please help. Here is one that says solve and then find the x intercept.
3x^2-5x-11=0
When I used the quadratic equation I came up with an answer of
5+square root of 157 divided by 6 AND 5-square root of 157 divided by 6.
Then when I found the x intercept my answers were x=5/6 and y=-107/12.
This does not seem right to me. Is it? Thank you
Click here to see answer by vleith(2825)

Question 176908: Please help.
Give the exact solution and the approximate solution to three decimal places.
x^2-7x+11=0
Thank you.
Click here to see answer by stanbon(57412)

Question 176900: Please help.
Find and label the vertex and line of symmetry. f(x)=2x^2
Thank you
Click here to see answer by Mathtut(3670)

Question 176934: I would like to know if you would be able to help me with this problem.
using this equation:
h= -16t^2+vt+c
Problem- a child tosses a ball upward with a starting velocity of 10 ft/s from a height of 3 ft.
b) solve. if not caught how long will the ball be in air?
Thank you for any help you can offer me!
Thank you so much!!
-j2012

Click here to see answer by jim_thompson5910(28598)

Question 176943: 3x^2-x-1=0 I'm trying to do it with the quadratic formula but I'm a little lost
Click here to see answer by jim_thompson5910(28598)

Question 176943: 3x^2-x-1=0 I'm trying to do it with the quadratic formula but I'm a little lost
Click here to see answer by stanbon(57412)

Question 176922: sovle over the complex numbers
5k squared = 3k + 2
Click here to see answer by jim_thompson5910(28598)

Question 176926: Please solve by factoring,
3x^2+11x-20=0
Click here to see answer by jim_thompson5910(28598)

Question 176589: A tunnel is constructed using cut and cover construction with the cross section represented by the following equation of a parabola . Calculate the width of the tunnel by solving the quadratic equation using another method than graphs.
Click here to see answer by ankor@dixie-net.com(15663)

Question 176899: Please help with this one...the directions are to find the vertex, the line of symmetry, the minimum and maximum value of the quadratic equation and then graph it. I know that once I get the vertex, I can find the rest. I have solved it close to the end, but I am not sure where to go from here...
f(x)=-2x^2+2x+7
I used the equation -b+- the square root of b^2-4ac divided by 2a
I got to -2+-the square root of 60 divided by 4. Now I am stuck...thank you for the help.
Click here to see answer by scott8148(6628)

Question 176980: Find the x intercepts and y intercepts for the following: (write as an ordered pair, using an interger or a decimal rounded to the nearest tenth.)
f(x)=x^2-9x+5
Click here to see answer by jojo14344(1512)

Question 176979: Please help with this story problem.
The number of tickets sold each day for a concert is N(x)=-0.3x^2+6x+10 where x is the number of days since the concert has been announced. When will sales peak and how many tickets will be sold that day?
Thank you
Click here to see answer by ankor@dixie-net.com(15663)

Question 177080: can you please find the discriminant, and determine the number of real solutions
81x^2+4=0
Thank you
Click here to see answer by jim_thompson5910(28598)

Question 177112: what are the coordinates of the vertex in (x,y) form

Click here to see answer by stanbon(57412)

Question 177111: solve 6x2 +3x - 18 = 0 using the quadratic formula read the information
in the assignment list to learn more about how to type math symbols,
such as the square root.
Click here to see answer by stanbon(57412)

Question 177144: How do I use the quadratic formula in this problem that one solution ends up being a fraction? 2x2-7x=-5. I know you have to put it in standard form first which is 2x2+7x-5.
Click here to see answer by jim_thompson5910(28598)

Question 177148: Could you please help me in understanding this problem. I have attempted to use the formulas x=-b/2a and 4ac-b^2/4a. However the answers I have received to not seem to fit. Am I not supposed to use that formula? There are several parts to this problem a-i and I am nervous to start off with the wrong answer as it would mean that could affect all the answers that come after part a. Any help you can give me will be very much appreciated.
The problem:
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. ( x=1 is the day tickets go on sale).
Tickets =-0.2x^2+12x+11

a. Does the graph of this equation open up or down? How did you determine this?

Click here to see answer by jim_thompson5910(28598)

Question 177184: Thank you for your quick response. I understood your direction; however I am still confused on how to go any further with this problem. As I said, it has several parts. I cannot find a comparable example in my book to help me understand the next steps. I have again tried to understand both of these questions but am not sure where to begin. Could you please help me in understanding what I should do in order to determine the correct answers? Any help you can give me will be very much appreciated.
The problem:
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. ( x=1 is the day tickets go on sale).
Tickets =-0.2x^2+12x+11

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.)

Click here to see answer by stanbon(57412)

Question 177181: the problem I have is f(t)=2t^2-4t-1 and it asks tosolve the problem if f(2). Can some one show me how this works
Click here to see answer by Earlsdon(6287)

Question 177110: find the corresponding y values for x = -4,-3,-2,-1,0,1,2 if y=x2+2r-3.
answer fill in y column
x y
-4
-3
-2
-1
0
1
2
show your work here type x-squared as x ^2 unless using a superscript feature

Click here to see answer by colliefan(239)

Question 177198: Thanks Stan that was a great help. I was able to figure out that I had been using the wrong formula. I was able to answer a few more of the questions i and h. But I am stuck on question d. and e. Should I be using the (b/2a)^2 then factor the left side and simplify the right?
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).
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 stanbon(57412)

Question 177254: Two numbers differ by 6. if the numbers are squared and then added, the result is 146. What are the numbers?
Click here to see answer by jim_thompson5910(28598)

Question 177299: Hi, How would you solve this problem
(x-3)^2= 2x^2-7x-21
Thanks.
Click here to see answer by jim_thompson5910(28598)

Question 177301: Hi how would you solve this:
(x+8)^2-54=0
Thanks.
Click here to see answer by jim_thompson5910(28598)

Question 177293: perimeter of a rectangle is 78 m. The length is 9 m more than twice the width. Find the dimentions of the lenghth and width.
Click here to see answer by checkley75(3666)

Question 177350: Hi! I have a"Revenue Problem".
A charter flight club charges its club members $400 per year. But, for each new member in excess of 60, the charge is reduced by $5.
A.) Write the quadratic function expressing revenue in terms of passengers.

I came up with a table...thats all I could come up with.

Members/ Dues Per Member/ Revenue(In DOllars)/
60/ 400/ 24000/
61/ 395/ 24095/
62/ 390/ 24180/
63/ 385/ 24255/
70/ 350/ 24500/
80/ 300/ 24000/

Click here to see answer by Mathtut(3670)

Question 177348: Could someone please help me answer this question?
If you are looking at a graph of a quadratic equation, how do
you determine where the solutions are?
Click here to see answer by gonzo(654)

Question 177379: Please help. Jack mows a lawn in 4 hours. Mary mows the same lawn in 3 hours. How much time would it take for both of them to mow the yard? Thank you.
Click here to see answer by Mathtut(3670)

Question 177382: Please help.
A television set is measured by the diagonal of the screen. A 35 in set has a diagonal measure of 35, and its width is 28 in. What is its height?
Thank you.
Click here to see answer by Mathtut(3670)

Question 177365: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0
Solution: 9, only solution.
Thank you for any help!!!
Click here to see answer by Mathtut(3670)

Question 177383: Please help. If the sides of a square are lengthened by 8cm, the area becomes 169cm^2. Find the length of the original square.
Thank you.
Click here to see answer by Earlsdon(6287)

Question 177393: The measure of one acute angle of an obtuse triangle is 20 degrees more than the measure of the other acute angle. What is a possible measure of the smaller acute angle?
Click here to see answer by Mathtut(3670)

Question 177410: Please help. Solve the following 15x^4-28x^2+5=0. I know that eventually I have to use the quadratic equation, but I am unsure of how to get the problem into a standard form to use. Thank you.
Click here to see answer by jim_thompson5910(28598)

Question 177304: The approximate distance it takes to stop a car, based on the speed the car is travelling, is given in theh following chart:
Miles Per Hour / Stopping Distance (ft)
25 / 62
35 / 106
45 / 161
50 / 195
55 / 228
65 / 306
a- find the quadratic function based on the stopping distance for 55 mph and 65 mph and the fact that at 0 mph the stopping distance is 0 ft.
b- use that equation to predict the stopping distances for 55 mph and 65 mph and compare them with the distances given in the chart.
c- if the equation continues to be valid for higher speeds, how many feet would it take to stop a drag racer that reaches a speed of 230 mph?
Click here to see answer by ankor@dixie-net.com(15663)

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