Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 477801: • Post a response to the following: If you are looking at a graph of a quadratic equation y = ax2 + bx + c, how do you determine where the solutions to 0 = ax2 + bx + c are? Compare this with solving the equation using the quadratic formula.
Click here to see answer by Theo(13342)   |
Question 478003: Living in or near a metropolitan area has some advantages. Entertainment opportunities are almost endless in a major city. Events occur almost every night, from sporting events to the symphony. Tickets to these events are not available long and can often be modeled by quadratic equations…….
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. Does the graph of this equation open up or down? How did you determine this? (5pts)
b. Describe what happens to the tickets sales as time passes? (5pts)
.
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.) (10pts) Show all work properly for full credit. Equation Editor or a similar program is needed here.
Click here to see answer by mananth(16946)  |
Question 478190: what is the vertex of f(x)=x^2-8x-5
f(x)=-x^2+10x+6
f(x)=3x^2-12x+9
f(x)=-2x^2+2x+7
f(x)=8-x^2
I have bee trying to solve and find the vertexes for these five problems since last Sunday. I don't understand quadratic equations at all.
Click here to see answer by htmentor(1343)  |
Question 478425: 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 this equation open up or down?
How did you determine this?
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. -0.6x^2+12x+11=0
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 mananth(16946) |
Question 478705: i am designing a outline of a glass and can you turn this coordinates into functions;
1, 0,80 to 20,10
2, 0,-80 t0 20, -10
3, 20,10 to 90,10
4, 20,-10 to 90, -10
5, 90,10 to 120,50 to 140,40 to 160,50
6, 90,-10 to 120,-50 to 140,-40 to 160,-50
Click here to see answer by solver91311(24713)  |
Question 478792: 1.The vertex is(4,-7),and the parabola opens upward.Determine the number of x-intercepts.
2.The vertex is(-5,4),and the parabola opens downward.Determine tne number of x-intercepts.
3.The vertex is(2,0).Determine the number of x-intercepts.
4.The vertex is(4,2),and the y-intercepts is(0,5).Determine the number of x-intercepts.
5.The vertex is(-2,-5),and the parabola opens downward.Determine the number of x-intercepts.
Click here to see answer by stanbon(75887) |
Question 478942: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
z^2 + z + 1 = 0
Click here to see answer by Alan3354(69443)  |
Question 478940: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
x^2 + 6x -7 = 0
Click here to see answer by Alan3354(69443) |
Question 478945: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
2x^2 - 10x + 25 = 0
Click here to see answer by Earlsdon(6294) |
Question 479248: a door is parabolic in shape and its vertex is 8 feet above the floor. The width of the door way at floor level is 10 feet accordingly, would a 6 foot tall person hit their head, if the person walk through the doorway 2 feet from its center
Click here to see answer by solver91311(24713) |
Question 479551: I'm having trouble factoring out this problem, I didn't know where to post a factoring question so I apologize if this is the wrong place, but im trying to factor out x^2 - 15x - 2 I tried isolating the coefficient and constant and cross multiply to get the two numbers that = -15x, but I'm stumped lol, I'd appreciate a hand! Thannks!
Click here to see answer by mananth(16946) |
Question 479766: A school planned to buy x calculators for atotal cost of 16,200. The supplier agreed to offer a discount of 60 per calculator. The school was then able to buy three more calculators for the same ammount of money.write an expression interms of x and find the original price of each calculator.
Click here to see answer by htmentor(1343) |
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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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