Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

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

Click here to see answer by stanbon(75887)

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(75887)

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(35256)

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(35256)

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(75887)

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(6294)

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(242)

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(75887)

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(35256)

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(35256)

Question 177301: Hi how would you solve this:
(x+8)^2-54=0
Thanks.
Click here to see answer by jim_thompson5910(35256)

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(6294)

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(35256)

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(22740)

Question 177451: How do you turn a quadratic equation into standard form (y = ax^2 + bx + c) with 3 points on a parabola? At first I know you plug in the three points into the standard form equation three separate times but i dont know how to simplify to find the solutions to a,b, and c. Please Help Me! :(
Click here to see answer by Mathtut(3670)

Question 177461: This is one question with two parts
For the following equation, state the value of the discriminant and then describe the nature of the solutions.
6x^2+4x-3=0
What is the value of the discriminant?
Which one of the statements below is correct?
a. The equation has one real solution.
b. The equation has two imaginary solutions.
c. The equation has two real solutions.
please help thank you
Click here to see answer by jim_thompson5910(35256)

Question 177456: This is one question with different parts, please help. Thank you
Find the vertex, line of symmetry, the maximum or minimum value of the quadratic function
f(x)=-2x^2+2x+3
What is the x-coordinate of the vertex?
What is the y-coordinate of the vertex?
What is the equation of the line of symmetry?
The max/min of f(x) is?
The value, f(1/2)=7/2 is a maximum or a minimum?

Click here to see answer by stanbon(75887)

Question 177462: This is one question with two parts
For the following equation, state the value of the discriminant and then describe the nature of the solutions.
6x^2+4x-3=0
What is the value of the discriminant?
Which one of the statements below is correct?
a. The equation has one real solution.
b. The equation has two imaginary solutions.
c. The equation has two real solutions.
please help thank you
Click here to see answer by stanbon(75887)

Question 177455: The sales representative here tells you they also have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively.
Click here to see answer by Mathtut(3670)

Question 177484: suppose a toy rocket was launched from the ground straight up with initial velocity of 64ft/sec. How many seconds after launch was the rocket 48 feet above the ground
Click here to see answer by solver91311(24713)

Question 177509: Solve 2x^2 + 5x - 1 = 0 by using quadratic formula. Use coefficients, a=2, b=5, c=-1. My Atttempt: Using quadratic formula w/coefficients given

-(5)+/- sqrt (5^2 - 4(2)(-1)
x= _______________________________
2(2)

-(5)+/- sqrt (25-4(2)(-1)
x=_____________________________
2(2)

-5 +/- sqrt (25+8)
x=______________________
4

-5 +/- sqrt (33)
x=__________________
4
I got stuck here!!

Click here to see answer by jim_thompson5910(35256)

Question 177528: solve 6x�+3x-18=0 using quadratic formula. 2. use the graph of y=x�+4-5 to anwer the following a) without solving the equation or factoring, determine the solution(s) to the equation,x�+4-5=0, using only the graph. expalined how you obtained your answer. 3. calculate the discriminant of x�+4x+4=0
Click here to see answer by solver91311(24713)

Question 177546: find the x and y intercepts; do not graph.
x-2y=6
and
2x+3y=27
Click here to see answer by stanbon(75887)

Question 177478: Perform the indicated operation:
a) express the answer in rectangular form:
[5(cos103 degrees + jsin 103 degrees)]
b) express the answer in polar form:
(16.le ^2.03j)(11.9e^-3.34j) I got 192angle-1.31?
c) express answer in rectangular form:
(3angle264 degrees)(4angle72 degrees) I got 10.96-4.88j ?
Click here to see answer by stanbon(75887)

Question 177474: A series ac circuit has R=3.70 ohms, Xl=5.97 ohms, and Xc=7.90 ohms. Find the impedance,and the phase angle between the current and the voltage.
Click here to see answer by Fombitz(32388)

Question 177390: The YMCA has a 40ft by 60ft area in which to build a swimming pool. The pool will have a sidewalk of uniform width around 3 sides. (The director of the YMCA does not want a sidewalk along one of the long sides of the pool) Let "x" be the width of the sidewalk.

A.) write a quadratic function in terms of "x" expressing the area of the pool
B.) The YMCA would like to construct the pool so that the area of the pool is at least half of the total area set aside for this project. Then state a reasonable interval for "x" that would satisfy this condition

Thank U!
Click here to see answer by ankor@dixie-net.com(22740)

Question 177744: A new computer can process a company�s monthly payroll in 1 hour less time than the old computer. To really save time, the manager used both computers and finished the payroll in 3 hours. How long would it take the new computer to do the payroll by itself?
Click here to see answer by solver91311(24713)

Question 177761: Linear System
Explain why the following linear system has no solution.
y-2x=1
y=2x+3
Click here to see answer by solver91311(24713)

Question 177761: Linear System
Explain why the following linear system has no solution.
y-2x=1
y=2x+3
Click here to see answer by stanbon(75887)

Question 177760: Linear System
Solve by elimination. Check each solution.
a) 2a+b=5
a-2b=10
b) 4k+3h=12
4k-h=4

Click here to see answer by solver91311(24713)

Question 177765: Linear System
What vloumes of 60% hydrochloric acid solution and 30% hydrochloric must be mixed to make 125 mL of 36% hydrocloric acid solution?
Click here to see answer by Mathtut(3670)

Question 177781: Analytic Geometry
Find the diameter and the area of the circle defined by x^2+y^2=64.
Click here to see answer by Mathtut(3670)

Question 177788: Analytic geometry
Determine the shortest distance from the point (5,2) to the line represented by y=2x+1. Use a diagram to check your answer.
Click here to see answer by Mathtut(3670)

Question 177793: Analytic Geometry
1.a) Draw the triangle with vertices P(-2,-2), Q(2,4), and R(8,0).
b) Show algebraically that PQR is a right triangle.
c) Is PQR also an isosceles triangle?
Use algebraic reasoning to justify your answer.

Click here to see answer by Fombitz(32388)

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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240