Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 162782: A mode rocket is launched with an initial velocity of 200ft/s. The height (h), in feet, of the rocket (t) seconds after the launch is given by
h = -16t^2 +200t. How many seconds after the launch will the rocket be 300 ft above the ground? Round to the nearest hundredth of a second.
So far I have it set up as such but no sure if its correct.
200t-300= -16t^2 + 200t - 200t
help appreciated.
Click here to see answer by Earlsdon(6294)  |
Question 162782: A mode rocket is launched with an initial velocity of 200ft/s. The height (h), in feet, of the rocket (t) seconds after the launch is given by
h = -16t^2 +200t. How many seconds after the launch will the rocket be 300 ft above the ground? Round to the nearest hundredth of a second.
So far I have it set up as such but no sure if its correct.
200t-300= -16t^2 + 200t - 200t
help appreciated.
Click here to see answer by gonzo(654) |
Question 162857: x^2=2x-5
Should I layout this problem as:
x^2-2x-5=0
if so I followed through with the quadratic formula then from there I got
x = 2+24/2 = 26/2 = 13 and x = 2-24/2= -22/2= -11
so my solutions would be 13 and -11.
Please any help looking over would be appreciated.
Click here to see answer by orca(409) |
Question 162857: x^2=2x-5
Should I layout this problem as:
x^2-2x-5=0
if so I followed through with the quadratic formula then from there I got
x = 2+24/2 = 26/2 = 13 and x = 2-24/2= -22/2= -11
so my solutions would be 13 and -11.
Please any help looking over would be appreciated.
Click here to see answer by joecbaseball(37) |
Question 162945: I am having a really hard time with this problem! Please show me how it should be solved! Thank you in advance!
If the path of a frog's jump is approximated by the equation y = -0.25x^2 + 5x, what is the height of the frog's jump?
Click here to see answer by Earlsdon(6294) |
Question 163119: I am trying to rearrange the following equation to solve for INR. I recognize the equation as a type of quadratic, but get confused about the reciprocals.
Thank you for your help.
CFX = 0.99 + (52.5/INR) + (52/INR^2)
Click here to see answer by scott8148(6628)  |
Question 163347: Tracey is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut from each corner?
Click here to see answer by checkley77(12844) |
Question 163367: This is more of a question than math problem, but here goes anyway,
If I have a quadratic equation (y = x^2 – 2x – 8)) that graphs to a parabola with a minimum value at the vertex (1, -9), how would you find the maximum value for the equation?
Thanks for any help.
Click here to see answer by gonzo(654) |
Question 163607: Find the answers to a, b,c for for the quadratic function y= -x^2 + 6x -5
a) Find the co-ordinates of the vertex of the parabola
b) Find the equation of the axis of symmetry
c) Find the maximum or minimum value
Here is what I have - I must say my concern is the - (negative) in front of the -x^2.
a) x = - b/2a = - 6/2(-1) = 3 and y = (-3^2) + 6(3) - 5 = -9 +18 - 5 = 4
b) ? is this x = 3
c) x | y
-------
0 -5
1 0
2 3
3 4
4 3
5 0
6 -5
Based on this maximum is 4
Thanks for your help.
Click here to see answer by Earlsdon(6294) |
Question 163607: Find the answers to a, b,c for for the quadratic function y= -x^2 + 6x -5
a) Find the co-ordinates of the vertex of the parabola
b) Find the equation of the axis of symmetry
c) Find the maximum or minimum value
Here is what I have - I must say my concern is the - (negative) in front of the -x^2.
a) x = - b/2a = - 6/2(-1) = 3 and y = (-3^2) + 6(3) - 5 = -9 +18 - 5 = 4
b) ? is this x = 3
c) x | y
-------
0 -5
1 0
2 3
3 4
4 3
5 0
6 -5
Based on this maximum is 4
Thanks for your help.
Click here to see answer by Fombitz(32388)  |
Question 163607: Find the answers to a, b,c for for the quadratic function y= -x^2 + 6x -5
a) Find the co-ordinates of the vertex of the parabola
b) Find the equation of the axis of symmetry
c) Find the maximum or minimum value
Here is what I have - I must say my concern is the - (negative) in front of the -x^2.
a) x = - b/2a = - 6/2(-1) = 3 and y = (-3^2) + 6(3) - 5 = -9 +18 - 5 = 4
b) ? is this x = 3
c) x | y
-------
0 -5
1 0
2 3
3 4
4 3
5 0
6 -5
Based on this maximum is 4
Thanks for your help.
Click here to see answer by gonzo(654) |
Question 163680: Please help me with this:
Write an equation for a function that has the shape of y=x^3. But is shifted right 4 units and up one unit.
Your website says the following when I put in my question:
"Maximum number of questions per day is 6. This question is number 4. This limitation is so that all people get a chance to ask questions. This is a free site after all. You are supposed todo at least part of your homework."
I'm just comparing answers that I already have because sometimes the answers I received have been wrong, I'm not abusing this system, I have made donations.
Thank you.
Click here to see answer by jim_thompson5910(35256) |
Question 163753: I have this problem and I want to know if I did it correct? 4-x/x-2=-2/x-2, this is how I worked I tried to work the problem out, the -2&-2 cancel each other out and then it left 4-x/x=x-2, then add +2 to both sides 4+2=6 and x-2+2 cancels out each other x=6. Is this the correct answer or can it be answered?
But I have a couple of other problems that I need help with.1/4=3-2x-1 over x+2, x3/2=125 and x+20-x=0
Click here to see answer by jim_thompson5910(35256) |
Question 164051: I have a graph that has an x-axis of (0.67, 0), an x-axis of (-1, 0) and a y-axis of (0, -2). I am instructed to look at the graph and comment on the sign of the discriminant. Form the quadratic equation based on teh information provided and find its solution. The graph lines point down and open up. Please help. Your help is extremely valuable and I really appreciate your time and attention. I know that the quadratic formula is ax^2+bx+c where a does not equal 0 is the equation formula but I don't know which numbers to use as a, b, and c.
Click here to see answer by stanbon(75887) |
Question 164077: Please help me understand what this problem is asking and how do I determine what equation to use when solving? Are there any key words that will tell me what equation I should use?Thanks for your help?
What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation "12x2 - 10x - 42 = 0".
Click here to see answer by Earlsdon(6294) |
Question 164164: The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.4x^2+8x+12, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?
Click here to see answer by alicealc(293) |
Question 164181: 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. Does the graph of this equation open up or down? How did you determine this?
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. (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?
Click here to see answer by stanbon(75887) |
Question 164449: A RECTANGLE HAS DIMENSIONS OF 18 FEET BY 13 FEET. A GRAVEL PATH OF UNIFORM WIDTH IS TO BE BUILT AROUND THE GARDEN. HOW WIDE CAN THE PATH BE IF THERE IS ENOUGH GRAVEL FOR 516 SQUARE FEET?
(I DON'T KNOW HOW TO SET THIS UP AS A QUADRATIC EQUATION.)
Click here to see answer by vleith(2983) |
Question 164532: I am having trouble getting started on these problems. Can someone please help?
Thank you in advance. Also, I may be making this too hard. Should I be factoring before I try to solve?
1. Determine whether the following equations have a solution or not? Justify your answer.
a) x2 + 6x - 7 = 0
b) z2 + z + 1 = 0
c) (3)1/2y2 - 4y - 7(3)1/2 = 0
d) 2x2 - 10x + 25 = 0
e) 2x2 - 6x + 5 = 0
f) s2 - 4s + 4 = 0
g) 5/6x2 - 7x - 6/5 = 0
h) 7a2 + 8a + 2 = 0
2. If x = 1 and x = -8, then form a quadratic equation.
Click here to see answer by jim_thompson5910(35256) |
Question 164609: Can someone help me with this. I had 6 problems to solve and I am having trouble solving these three. Thank you for all that you do!
1. Determine whether the following equations have a solution or not? Justify your answer.
f)s2 - 4s + 4 = 0
g)5/6x2 - 7x - 6/5 = 0
h)7a2 + 8a + 2 = 0
Click here to see answer by stanbon(75887) |
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