Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 310688: Hello I have a problem solving this parabola question.The path of a cliff diver as he dives into a lake ,is given by this eqaution,y=-(x-10)(SQAURED)+75,where y metres is the diver's height above the water and,x metres is the horisontal distance travelled by the diver.What is the maximum height the diver is above the water?
Click here to see answer by Fombitz(32388)  |
Question 310688: Hello I have a problem solving this parabola question.The path of a cliff diver as he dives into a lake ,is given by this eqaution,y=-(x-10)(SQAURED)+75,where y metres is the diver's height above the water and,x metres is the horisontal distance travelled by the diver.What is the maximum height the diver is above the water?
Click here to see answer by solver91311(24713)  |
Question 310424: 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). Tickets=-0.3x^2+10x+12
Does the graph of this equation open up or down? Explain how you determine this.
The graph of this equation goes down because -0.3<0.
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. Show work!
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? Explain how you know.
e. After how many days will the peak or low occur? Show work!
f. How many tickets will be sold on the day when the peak or low occurs? Show work!
g. What is the point of the vertex? How does this number relate to your answers in parts e. and f? Explain.
h. How many solutions are there to the equation ? Explain how 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? Explain.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 310862: THE STUDENT COUNCIL AT RAHKENROLE HIGH SCHOOL IS PLANNING A CONCERT. THEY'VE HIRED THE KNOX MOUNTAIN BOYS, A POPULAR LOCAL BAND, FOR $340. A POLL AMONG THE STUDENTS HAS SHOWN THAT IF TICKETS COST $5, 140 PEOPLE WILL COME TO THE CONCERT. FOR EVERY DOLLAR THE TICKET PRICE GOES UP, 10 FEWER PEOPLE WILL COME, AND FOR EVERY DOLLAR IT GOES DOWN, 10 MORE PEOPLE WILL COME.
THE OTHER GROUP WANTS TO RAISE MONEY ON THE CONCERT. HOW MUCH SHOULD HEY CHARGE PER TICKET TO MAXIMIZE THE AMOUNT OF MONEY THEY RAISE? HOW MUCH WILL THEY RAISE AT THAT PRICE?
PLEASE HELP ME, I WOULD REALLY APPRECIATE IT IF YOU DID. PLEASE SOLVE THIS ALGEBRAICALLY AND NOT GUESS AND TEST.
Click here to see answer by stanbon(75887) |
Question 311032: a square swimming pool with a side measure of 16 m is to be surrounded by a rubberized floor covering of uniform width. if the area of the floor covering equals the area of the pool, find the width of the rubberized covering.
Click here to see answer by texttutoring(324)  |
Question 311192: Please Help Me!
1. The path of a ball thrown into the air from a height of 3 feet is given by y=-1/8x^2+x+3, where y is the height of the ball in feet at the horizontal distance of x feet from the thrower.
a. How high is the ball at its maximum height?
b. estimate the horizontal distance the ball traveled before hitting the ground.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 311431: Solve 4y ^2 = 12
I've done this and was wondering if I was on the right path:
4y ^2 = 12
4y^2 - 12 = 0
(2y - 4)( 2y + 3) = 0
2y -4 = 0
add 4
2y = 4
divide by 2
y = 2
2y + 3 = 0
subtract 3
2y = -3
y = -3 /2
Click here to see answer by JBarnum(2146)  |
Question 311257: A brace that is going to be shaped as a right triangle at a hypotenuse of 41 in. the longer leg of the brace is 31 in. more than the shorter leg. You need to dteremine the length of the 2 leds using a quadratic equation. then solve to find the area and perimeter and calculate the angled formed between the short leg and hypotenuse.
I was thinking I had to use a2+b2=c2 but when I do it the number dont come out perfect (meaning no decimals) and my teacher said it has to be perfect. I know that the short leg is going to be x and the long one is x+31.
Click here to see answer by scott8148(6628)  |
Question 311704: Hello!
I am currently in algebra 1 at my middle school and I am trying to study for finals. I am having some trouble with quadratic equations and I hope that you can help.
My teacher said to use the quadratic formula to find solutions and I have no idea how to do that.
Here is the problem:
(x-8)(x+1)=-20
Thank you very much for your time and effort.
Sincerely,
Lyn
Click here to see answer by Earlsdon(6294) |
Question 311854: Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function. Show your work
f (x) = - x^2 + 2x - 1
Click here to see answer by checkley77(12844) |
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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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