Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 81612: I am stuck on this problem, can you help me out please? Thank you!
2) For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space
b) What is the equation for the line of symmetry for the graph of this function?
Answer: 0
c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x – h)2 + k.
Show graph here.
Explanation of graphing.
d) In your own words, describe how this graph compares to the graph of y = x2?
Click here to see answer by stanbon(75887) |
Question 81742: Adult tickets for a play cost $10 and child tickets cost $3. If there were 25 people at a performance and the theater collected $110 from ticket sales, how many adults and how many children attended the play?
Answer:
___________ adults attended the play
___________ children attended the play
Click here to see answer by bucky(2189) |
Question 81721: Adult tickets for a play cost $10 and child tickets cost $3. If there were 25 people at a performance and the theater collected $110 from ticket sales, how many adults and how many children attended the play?
Answer:
___________ adults attended the play
___________ children attended the play
Click here to see answer by bucky(2189) |
Question 81749: suppose a baseball is shot up from the ground straight up with an initial velocity of 64 feet per second. a function canbe created by expressing distance above the ground,s,as a function of time,t. this function is s=-16t^2+vot+so.
>16 represents 1/2g, the gravitational pull due to gravity(measured in feet per second^2)
>vo is the initial velcoity(how hard do you throw a object, measured in feet per second)
>So is the initial distance above ground(in feet). if you are standing on the ground, then So=0
-what is the function that describes this problem
-the ball will be how high above ground after 1 second
-how long will it take to hit ground
-what is the max height of the ball? what time will the max height be attained?
Click here to see answer by bucky(2189) |
Question 81771: Problem
Find three consecutive integers such that the sum of their squares is 77.
This is what I have, but not sure.
x^2 + x^2 + x^2 = 77 I don't know where to go from here. Thank you for your help.
Click here to see answer by bucky(2189) |
Question 81780: Find the exact length of the side of a square whose diagonal is 3 feet.
This is what I have.
x^2 + x^2 = (x + 3)^2
x^2 + 4x + 9
x^2 - 4x - 9 = 0
x= 4 plus/minus sqrt 39 - 9(1)(-4)/2(1)
6 + 9 sqrt (2)/2
= 6 + 3 sqrt (2)
Would appreciate any help with this question. Thank you
Click here to see answer by jim_thompson5910(35256) |
Question 81774: Problem
In a playoff game the ball was carried by either Anderson or Brown on 21 plays. Anderson gained 36 yards, and Brown gained 54 yards. If Brown averaged twice as many yards per carry as Anderson, then on how many plays did Anderson carry the ball?
I think I need to set it up as follows, but am not sure
2(36/x)= 54/21-x
Thank you for your help
Click here to see answer by stanbon(75887) |
Question 81806: Problem
In 1981 Vladimir Poliakov set a world record of 19ft3/4in for the pole vault. To reach that height, Poliakov obtained a speed of approximately 36 ft per second on the runway. The formula h = -16t + 36t gives his height t seconds after leaving the ground. Use the formula to find the exact values of t for which his height is 18ft.
This is what I have
18 = -16t + 36t
18 = 20t
20t/20 = 18/20
t = 9/10
Not sure if I did this right, would appreciate your input. Thank you
Click here to see answer by rapaljer(4671)  |
Question 81812: hi i need help with this it is due tomm on mothers day and i cant figure it out.
A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 81717: The difference of two numbers is 47. The second is 1 less than 3 times the first. What are the two numbers?
Answer:X+Y=47, X=47-Y
Y=3X-1 NOW SUBSTITUTE (47-Y) FOR X IN THE THIS EQUATION & SOLVE FOR Y
Y=3(47-Y)-1, Y=141-3Y-1, Y+3Y=140, 4Y=140, Y=140/4, Y=35ANSWER.
X+35=47, X=47-35, X=12 ANSWER.
One number is: 12
And the other number is: 35
Click here to see answer by checkley75(3666) |
Question 81891: Everyone in my family has tried to answer this worksheet from school. Does it need to be solved before graphing? Would appreciate your help with this problem. Thanks!
A rocket is launched from atop a 78-foot cliff with an initial velocity of 152 feet per second. the height of the rocket t seconds after launch is given by the equation h=-16t^2 + 152t + 78. Graph the equation to find out how long after the rocket is launched it will hit the ground. Estimate the answer to the nearest tenth of a second.
Click here to see answer by Earlsdon(6294) |
Question 81891: Everyone in my family has tried to answer this worksheet from school. Does it need to be solved before graphing? Would appreciate your help with this problem. Thanks!
A rocket is launched from atop a 78-foot cliff with an initial velocity of 152 feet per second. the height of the rocket t seconds after launch is given by the equation h=-16t^2 + 152t + 78. Graph the equation to find out how long after the rocket is launched it will hit the ground. Estimate the answer to the nearest tenth of a second.
Click here to see answer by bucky(2189) |
Question 81936: This is a word problem.
#116 Time of flight. Use the information from exercise 115 to determine how long Johnson was in the air. For how long was he more than 14ft in the air.
Exersice 115
For 1989 and 1990 Dave Johnson had the highest decathlon score in the world. When Johnson reached a speed of 32 ft/sec on the pole vault runway, his height above the ground t seconds after leaving the ground was given by h=-16t^2+32t.
How do I solve Problem 116? Please help
Click here to see answer by ankor@dixie-net.com(22740)  |
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