Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

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(7193)

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(75887)

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(75887)

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(24713)

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(24713)

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(5328)

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(5328)

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=x�-11x+18
Click here to see answer by solver91311(24713)

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(16946)

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(75887)

Question 533698: I am not sure if i picked the right heading to ask this question under. My math problem is: Factor the following: 4x^2 + 4x + 1
Thank you,
Cindy
Click here to see answer by Earlsdon(6294)

Question 534000: find a queadraric model for each set of values
(-1,6) (1,4) (2,9)
Click here to see answer by scott8148(6628)

Question 534076: Sum of the ares of 2 square is 468 msquare. If the difference of their perimeter is 24m. Find the sides of 2 square.
Click here to see answer by Alan3354(69443)

Question 534076: Sum of the ares of 2 square is 468 msquare. If the difference of their perimeter is 24m. Find the sides of 2 square.
Click here to see answer by fcabanski(1391)

Question 534075: The difference of square of 2 number is 180. The square of smaller number is 8 times the larger number. Find the two numbers.
Click here to see answer by boilpoil(127)

Question 534025: A square sign must have a perimeter of no more than 225 inches. what lengths are acceptable for the sides of the sign?
Click here to see answer by fcabanski(1391)

Question 534159: Um grupo de paraquedistas salta de um avi�o a uma altura de 6 000 m. Ao chegarem � altura de 3 000 m, eles devem abrir seus paraquedas. Com base nisso respondam :

a)Quanto tempo depois de saltarem, os paraquedas devem ser abertos?
b)Um dos paraquedas consegui abrir somente em 26,5 segundos depois de saltar. A que altura isso ocorre?
Aten��o!!! Ajuda que vem do c�u!
Use a f�rmula d = 5t2, ( t=tempo em segundos e d= altura em metros
me chamou de puta e mais ...........
resolva essa questao ai do paraqueda

Click here to see answer by KMST(5328)

Question 534253: How do you write m^6-16m^3+64=0 in quadratic form?
Click here to see answer by fcabanski(1391)

Question 534401: Find the vertex the line of symmetry, the maximum or minimum value of the f(x). Graph the function.
f(x)= -(x+3)^2-9

Click here to see answer by oberobic(2304)

Question 534399: Find the vertex the line of symmetry, the maximum or minimum value of the f(x). Graph the function.
f(x)= 1/4(x+2)^2+4

Click here to see answer by oberobic(2304)

Question 534397: Find the vertex the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
f(x)= -2x^2+2x+10

Click here to see answer by oberobic(2304)

Question 534459: List all possible rational zeros for the polynomial below. Find all real zeros of the polynomial below and factor completely. Please show all of your work.
f(x) = 3x^4+17x^3+17x^2-33x-36
Click here to see answer by lwsshak3(11628)

Question 534558: twice the price of a bike increased by 26 is 57.
what is the price of the bike?
Click here to see answer by nerdybill(7384)

Question 534744: The formule D=0.054x^2+0.058x describes the distance in feet D that it takes to stop a vehicle traveling x miles per hour on dry pavement.
a. How fast can you drive if you wish to be able to stop your car within 65 feet?
b.On black ice, a truck's stopping distance is 3 times its stopping distance on dry pavement. A truck traveling 20 miles per hour applies the brakes, on black ice, at a distance of 65 feet in front of a rubber traffic cone. Will the truck hit the cone?
Click here to see answer by stanbon(75887)

Question 534835: y =2x^2-12x-20 Is The Equation, And I Don't Understand How To Find The Answer
Click here to see answer by fcabanski(1391)

Question 534991: h(x)=x^2+4
Click here to see answer by fcabanski(1391)

Question 535545: Write the polynomial equation m^6 + 5m^3 - 10 = 0 in quadratic form.
How do I do that^^? Please Help!
Click here to see answer by fcabanski(1391)

Question 535554: Jeremy is putting together a model rocket. The scale is 1 cm : 50 ft. If the height of the actual rocket is 210 feet, how tall is the model?
Click here to see answer by fcabanski(1391)

Question 535550: I have a problem that starts with this equation:
x^2-2x-3=0
The next part of the equation is to move the constant to the right side of the equation.
x^2-2x-3+3=0+3
x^2-2x=3
x^2-2(x)=3
x^2-2+2x=3+2
x=5
Click here to see answer by fcabanski(1391)

Question 535546: hello my question is how can i solve this 36y^3-y=0 thank you.
Click here to see answer by mananth(16946)

Question 535704: how do you factor t^5 - 29t^3 + 100t??
Click here to see answer by Earlsdon(6294)

Question 535691: Please help me solve these:
2x^2-x-28=0
x^2-2x=15
2x(x+7)(x+4)=0
x(x-5)=-6
x^2=16x
Click here to see answer by Earlsdon(6294)

Question 535975: How do I figure out "G" in :G(x)=10+3 ?
Click here to see answer by edjones(8007)

Question 535920: The difference between two positive numbers is 5.Their product is 104.Find the numbers. solve and check.

Click here to see answer by edjones(8007)

Question 535774: How to use the quadratic formula to solve for Q in the equation Q(squared)-2Q-4=0.
Click here to see answer by KMST(5328)

Question 535981: One solution of kx^2-5x+k=0 is 3. Find the other solution
Click here to see answer by bucky(2189)

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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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