Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 528830: Could you please help me with this problem. Can you show how to write the equation as well? Thank you!
A building is 862 feet tall. Use the function h(t) = 16t2 to approximate how long it would take an object to fall from the top.
Round to the nearest tenth.
Hint: h is your height

Click here to see answer by Alan3354(30993)

Question 528832: Can someone please help me with this equation? Also, can you show me how to write it out as well? Thank you!
Use the function V(T) = 18T2. A basketball player has a vertical leap of 38.5 inches.
What is their hang time to the nearest hundredth of a second?
Hint: T is your time in seconds

Click here to see answer by ankor@dixie-net.com(15657)

Question 529598: I am having difficulty solving this problem! I know it has already been answered, but the values of the equation that has been used is different than mine. PLEASE HELP!!!
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 = -0.6x2 + 12x + 11
Does the graph of the equation above open up or down?
How did you determine whether the graph of the equation above opened up or down?
Describe what happens to the ticket sales as time passes.
Use the quadratic formula to determine the last day that tickets will be sold.
Hint: Write your answer in terms of the number of days after ticket sales begin and you can’t have partial days.
Will tickets peak or be at a low during the middle of the sale?
How do you know?
After how many days will the peak or low occur?
Hint: Use the axis of symmetry formula.
How many tickets will be sold on the day when the peak or low occurs?
Hint: Substitute your value from question 7 into the original quadratic equation.
What are the coordinates of the vertex?
How did you determine this?
How many solutions are there to the original quadratic equation given in question 3?
How do you know?

Click here to see answer by nerdybill(6962)

Question 529599: 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 = -0.6x2 + 12x + 11
Does the graph of the equation above open up or down?
How did you determine whether the graph of the equation above opened up or down?
Describe what happens to the ticket sales as time passes.
Use the quadratic formula to determine the last day that tickets will be sold.
Hint: Write your answer in terms of the number of days after ticket sales begin and you can’t have partial days.
Will tickets peak or be at a low during the middle of the sale?
How do you know?
After how many days will the peak or low occur?
Hint: Use the axis of symmetry formula.
How many tickets will be sold on the day when the peak or low occurs?
Hint: Substitute your value from question 7 into the original quadratic equation.
What are the coordinates of the vertex?
How did you determine this?
How many solutions are there to the original quadratic equation given in question 3?
How do you know?

Click here to see answer by KMST(1869)

Question 529675: Factor completely:
6x^2+19x+10
Click here to see answer by scott8148(6628)

Question 529700: Two numbers, which differ by 3, have a product of 88. Find them.
Click here to see answer by unlockmath(1603)

Question 529791: The product of two consecutive odd numbers is 143. Find the numbers. (Hint: if the first odd number is x, what is the next odd number?)
Click here to see answer by swincher4391(726)

Question 529799: The length of a rectangle exceeds the width by 2cm. If the diagonal is 10cm long, find the width of the rectangle.
Click here to see answer by jim_thompson5910(28595)

Question 529799: The length of a rectangle exceeds the width by 2cm. If the diagonal is 10cm long, find the width of the rectangle.
Click here to see answer by swincher4391(726)

Question 136135: Quadratic equations can be solved by graphing, using the guadratic formula, completing the square and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Why method do you prefer and why?
Click here to see answer by rizki_kiki(1)

Question 530156: -7ab/a, a not equal to 0

Click here to see answer by jim_thompson5910(28595)

Question 530293: -4x2+8x+3=0
Click here to see answer by stanbon(57377)

Question 530298: How do you derive the formula 1/2(n^2-n+2 using an^2+bn+c?
Click here to see answer by stanbon(57377)

Question 530292: x2 -2x -13 =0 I need a quadratic formula for this and how to work the problem
Click here to see answer by stanbon(57377)

Question 530526: For the quadratic equation , explain how to find a value of "b" where the discriminant yields a quadratic equation with the following types of solutions.
a. two imaginary solutions
b. one real solution
c. two rational solutions
d. two irrational solutions
Click here to see answer by josmiceli(9691)

Question 530705: at the touch of a button, a car shrinks by 2 feet in the width and 4 feet in the length. The original car base is 24 sq ft larger than that of the shrunken car. If the original car's length is twice the with, find the dimensions of both cars.
Click here to see answer by oberobic(2304)

Question 530736: A man walks a certain distance due North and then the same distance plus a further 7km due East. If the final distance from the starting point is 17km, find the distances he walks North and East.
Click here to see answer by oberobic(2304)

Question 530769: The perimeter of a rectangle is 68cm. If the diagonal is 26cm, find the dimensions of the rectangle.
Click here to see answer by oberobic(2304)

Question 530867: If the vertex of a parabola is (-1,-7) how can I find the equation of the parabola? Is this possible?
Click here to see answer by jim_thompson5910(28595)

Question 530867: If the vertex of a parabola is (-1,-7) how can I find the equation of the parabola? Is this possible?
Click here to see answer by josmiceli(9691)

Question 530882: A number exceeds four times its reciprocal by 3. Find the number.
Click here to see answer by oberobic(2304)

Question 530882: A number exceeds four times its reciprocal by 3. Find the number.
Click here to see answer by MathTherapy(1425)

Question 530875: Do the following equations intersect and if so what is the point of intersection(In fraction form):
c
Thanks!
Click here to see answer by oberobic(2304)

Question 530888: Use the intermediate value theorem to show that f(x) has a zero in the given interval. Please show all of your work.
f(x)= -3x^4-5x^3-8x+7; [-2.4,-2.3]
Click here to see answer by Edwin McCravy(8909)

Question 530951: The product of 3 less than twice x and 2 more than the quantity 3 times x?
Click here to see answer by rfer(12662)

Question 531094: How do you find the y-Intercept of f(x)= -x^2+4x-1
Click here to see answer by oberobic(2304)

Question 531111: The problem is 5x^2=-12x-5
Don't I set this to "0"?
I moved the -12x-5 over to the left (the other side of the =) to read:
5x^2+12x+5=0
Is this the final answer? I get confused on if I need to do anymore or if this should be the end of the problem.
Your help is greatly appreciated.
Cheers!
Angela
Click here to see answer by oberobic(2304)

Question 530902: I am in desperate need for someone to explain each step for me in detail so I can get this down. i know there are problems that are almost identical but they are not explaining in enough detail. I greatly appreciate any help I can get as I have to turn this in today.
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
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).

a. Describe what happens to the tickets sales as time passes.

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

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.

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?

f. How many tickets will be sold on the day when the peak or low occurs?

g. What is the point of the vertex? How does this number relate to your answers in parts e. and f?

h. How many solutions are there to the equation ? How do you know?

i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

2. What is the minimum product of two numbers whose difference is 6? What are the numbers?

3. The value of a share of J.P. Megan, in dollars, can be represented by , where x is the number of months after January 2010. What is the lowest value V(x) will reach, and when did that occur?

Click here to see answer by richard1234(5390)

Question 531205: Problem:
A ball is thrown upward with an initial velocity of 35 meters per second from a cliff that is 30 meters high. The height of the ball is given by the quadratic equation h=-4.9t^2+35t+30 where h is in meters and t in the time in seconds since the ball was thrown, find the time it takes the ball to hit the ground. Round you answer to the nearest tenth of a second.
I understand the the equation is given to you, but I'm not certain how to figure it out. If someone could instruct me on HOW to get the correct answer instead of just giving me the answer, I would appreciate it.
Cheers!
Angela
Click here to see answer by stanbon(57377)

Question 531219: Problem: x^2 +8x +52 =0
Step-by-step, where do I go from here? I really need this spelled out for me so that I can actually understand it. I don't just want the answer, I want to understand how it is worked. :-)
Thanks!
Angela

Click here to see answer by stanbon(57377)

Question 531320: Find the slope of any line that is a) parallel b) Perpendicular to the line y=-7x+5.
Click here to see answer by solver91311(16897)

Question 531543: An acorn falls from a tree such that its height (h) in meters above the ground is given by the formula h(t) = -4.92+78.4. Where t is in seconds. How many seconds will it take for the acorn to hit the ground?
Click here to see answer by solver91311(16897)

Question 531695: How do I solve for x in these equations?
-7=x^2-8x
10=2x^2+5x+13
Click here to see answer by oberobic(2304)

Question 531695: How do I solve for x in these equations?
-7=x^2-8x
10=2x^2+5x+13
Click here to see answer by KMST(1869)

Question 531840: Cindy has an 11'' by 14'' photograph that she wishes to frame. She wantsmatting of width W around the edge of the photograph.
a. Give an expression for the total area of the photograph and the matting.
b. If w-2 inches, what are the inner dimension of the frame that will hold the photograph and the matting
c. What is the total area of the photograph and matting in letter b?
I need help! Please help me :D
Click here to see answer by KMST(1869)

Question 40974: Find the roots of the quadratic equations by the method of completing the square. Express the roots, if they are not rational, in simplest radical form.

x2 + 22x + 112 = 0
(x - 4 )(x -28 )
check
x^2 +28x -4x +112
x^2+22x+112
thus, (x - 4 )(x -28 )

Click here to see answer by lcarpenito(1)

Question 532115: find the zeros of the function.
y=x²-11x+18
Click here to see answer by solver91311(16897)

Question 532142: Solve by extraction of roots.
a. (2x-5)^2=9

b. 6*(w-1)/3 -4=2
Click here to see answer by oberobic(2304)

Question 532147: I need to find out how to work this problem y2-2y-4=0
Click here to see answer by oberobic(2304)

Question 532173: A) find the coordinates of the vertex and the intercepts
B) Sketch the graph by hand with at least FIVE points
y=8-x-2x^2

I know to rewrite it to y=-2x^2-x=8
and I found the vertex to be -x/2(-2) which is -1/4 and the graph opens downwards?
Click here to see answer by oberobic(2304)

Question 532498: what is the process and answer to the following quadratic equation using the method from India? x2 -2x -13 =0
Click here to see answer by mananth(12270)

Question 533066: I am on lesson 1.1 and the equation is 2(x-3)(x-3)+1 I am supposed to write it into standard form and I am not sure how.
Click here to see answer by oberobic(2304)

Question 532725: How do i COMPLETE THE SQUARE :
a^2 +10a + _?
Click here to see answer by boilpoil(127)

Question 533213: Y=-3x-6x-5
I'm experiencing difficulties with figuring out which points to use when creating a table of values. I found that the vertex is (-1,-2) and the y intercept is (0,-5), there is no x intercept. I'm unable to get the graph to open facing downward in an excel spread sheet. I'm not sure if my first point should be my vertex and what other points to use. Please help!
X Y
-1 -2
0 -5
The points that I have are not creating the graph that I need facing downward below the x axis.
Thank you,

Click here to see answer by stanbon(57377)

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, 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, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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