Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 371028: THE NUMBER OF TICKETS SOLD EACH DAY FOR AN UP COMING PERFORMANCE OF HANDLES IS GIVEN BY N(X)= -0.4X^2 +8.8X +15, WHERE X IS THE NUMBER OF DAYS SCINSE THE CONCERT WAS FIRST ANNOUNCED. WHEN WILL DAILY TICKET SALES PEAK? ALSO, HOW MANY TICKETS WILL BE SOLD THAT DAY?
Click here to see answer by jsmallt9(3758) |
Question 371849: Can someone tell me if I did these right. If not can someone please help me with these problems PLEASE.
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= -0.4x^2+20x+122.1
a. Does the graph of this equation open up or down? How did you determine this?
Downward, coefficient of the squared term is negative
b. What is the number of tickets sold on the 10th day? The 20th day? The 40th day? The 50th day?
T (10)= 182
T (20) = -0.4*(20) ^2+20*(20)+122.1
T (20) = -0.4*(400) +400+122.1
T (20) = -160+522.1
T (20) = 362.1
T (20) = 362
T (40) = -0.4*(40) ^2+20*(40) +122.1
T (40) = -0.4*1600+800+122.1
T (40) = -640+922.1
T (40) = 282.1
T (40) = 282
T (50) = -0.4*(50) ^2+20*(50) +122.1
T (50) = -0.4*2500+1000+122.1
T (50) = -1000+1122.1
T (50) = 122.1
T (50) = 122
c. Use the quadratic equation to determine the last day that tickets will be sold.
x = -5.5 and x = 55.55 the last day tickets will be sold
Note. Write your answer in terms of the number of days after ticket sales begin.
d. After how many days will the maximum or minimum occur?
55.55 - 60.05/2 = 25.525
e. How many tickets will be sold on the day when the maximum or minimum occurs?
374
f. What are the coordinates of the vertex? How does this number relate to your answers in parts d and e? 55
g. How many solutions are there to the equation ? How do you know?
2
h. What do the solutions represent? Explain.
Click here to see answer by Fombitz(32388)  |
Question 371786: A model rocket is launched straight up from a platform. The height of the rocket is given by h(t)=-16t^2+266t+10
a. What is the altitude of the rocket 2 seconds after launching?
b. How high does the rocket go?
Click here to see answer by scott8148(6628)  |
Question 372797: Jack wanted to throw an apple to Lauren, who was on a balcony 40 feet above him, so he tossed it upward with an initial speed of 56 ft/s. Lauren missed it on the way up, but then caught it on the way down. How long was the apple in the air?
Would I use the equation h(t) = -16t^2 + 56t +40? (where h = height and t = time) I'm not very good at solving quadratic word problems :(
Click here to see answer by nerdybill(7384)  |
Question 372841: I have pulled my hair out trying to learn this stuff!! If anyone could help me I'd so appreciate it!! thank you!!
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
3x + 11y = 34.5
9x – 7y = -16.5
Click here to see answer by josmiceli(19441)  |
Question 372800: The number of miles, M, that a car can travel on a gallon of gas during a trip depends on the average speed, v, of the car on the trip according to the model M = -.011v^2 + 1.3v. Find the average speed that will minimize the costs for a trip. A person wants to take a 1900 mile trip in the car and wants to spend less than $55 for gas. If gas costs $1.10, how fast can the person drive?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 372988:
To buy both a new car and a new house, Tina sought two loans totalling $191,610. The simple interest rate on the first loan was 6.3%, while the simple interest rate on the second loan was 8.8%. At the end of the first year, Tina paid a combined interest payment of $16,681.66. What were the amounts of the two loans?
Click here to see answer by mananth(16946)  |
Question 373133: I have to do a project and find two irrational solutions of:
4x^2+bx+25
The project also tells us to solve for: two imaginary solutions, two rational solutions, and one rational solution too, and the only one I solved was the one rational solution.
can you please help! I am completely stumped!
Thank you for your help :)
Click here to see answer by Fombitz(32388)  |
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