Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 112182: I am given three points on a graph (14,0), (10.5,1), (6.5,3) and am asked to find the equation for the parabola that passes through these points. I understand that the parabola must be positive and open upwards. Also, I know that the "c" value must be 14 because that is the y intercept. But, from then on, I really have no idea what to do. Could you please help me?
Click here to see answer by Edwin McCravy(20054)   |
Question 112615: I am having a hard time writing the formula needed in order to solve this equation; A farmer wishes to fence in a pasture along a straight highway. The pasture is to contain 500 sq ft of land and be rectangular. If the fencing along the highway is heavy duty and costs $3 per foot, while the material for the remaining three sides costs $2 per foot, find the dimensions of the pasture with the minimum fencing cost.
Click here to see answer by scott8148(6628)  |
Question 112700: I had to solve a quadratic equation by factoring and I recived it back as incorect. I dont know what I did wrong...could someone please explain this to me and show the correct steps if possible. I did not get 2 solutions for x and I cant figure out how to do this.
Thanks so much.
3x^2+11x-20=0
3x^2+15x-4x-20=0
3x(x+15)-4(x+5)=0
(3x-4)(x+5=0)
Click here to see answer by jim_thompson5910(35256) |
Question 112700: I had to solve a quadratic equation by factoring and I recived it back as incorect. I dont know what I did wrong...could someone please explain this to me and show the correct steps if possible. I did not get 2 solutions for x and I cant figure out how to do this.
Thanks so much.
3x^2+11x-20=0
3x^2+15x-4x-20=0
3x(x+15)-4(x+5)=0
(3x-4)(x+5=0)
Click here to see answer by MathLover1(20849)  |
Question 112941: Thank you so much for the answer earlier I really apprecate it. I have one final question of the day hope you can help me out. Thanks again
if a rock is thrown upward with an initial velocity of 64 feet per second from the top of a 25 foot building write the a) height(s) equation using this information typing hint:t^2
b) how high is the rock after 1 second, show work
c)after how many seconds will the graph reach maximum height, show work
d)what is maximum height, show work
If you can help me with this it will save my life thank you again.
Click here to see answer by bucky(2189) |
Question 112941: Thank you so much for the answer earlier I really apprecate it. I have one final question of the day hope you can help me out. Thanks again
if a rock is thrown upward with an initial velocity of 64 feet per second from the top of a 25 foot building write the a) height(s) equation using this information typing hint:t^2
b) how high is the rock after 1 second, show work
c)after how many seconds will the graph reach maximum height, show work
d)what is maximum height, show work
If you can help me with this it will save my life thank you again.
Click here to see answer by solver91311(24713)  |
Question 112928: it's a word problem.
Nancy wants to buy a mat for a photographtaht measures 14 in by 20 in. She wants to have an even border around the picture when it is mounted on the mat. If the area of the mat is 352 in squared How wide will the border be? I know the anwser is 1 inch. I just don't see why.
Here's what I've tried.
A=LW
(14+x)squared (20+x)Squared
280+14x + 20x+xSquared
280+34x+xsquared=0
Since this can't be factored i subtracted the 280 from both sides and got
x2 +34x = -280
half of 34 is 17 and 17 times 17 is 136
So this becomes
x2 +34x + 136 = -144
(x-72)squared = -144
x-72 = sqare root of -144
x-72 = 12i
x=72+or-12i
but this doesn't equal 1 inch. Please help me
Click here to see answer by scott8148(6628) |
Question 113289: the height in feet of a projectile after t seconds is given by h(t)=-16t^2 +96t
determine the values for which the projectile is at the ground.
(the -16 has an exponent of 2 I couldn't get it to show up right also I need to set this problem up as an equation the chapter we are working on has to do with factoring.)
Click here to see answer by SHUgrad05(58) |
Question 113289: the height in feet of a projectile after t seconds is given by h(t)=-16t^2 +96t
determine the values for which the projectile is at the ground.
(the -16 has an exponent of 2 I couldn't get it to show up right also I need to set this problem up as an equation the chapter we are working on has to do with factoring.)
Click here to see answer by Earlsdon(6294) |
Question 113530: Fitting a quadratic model to data
Throughout the twentieth century, the eating habits of Americans changed noticeably .Americans started consuming less whole milk and butter and started consuming more skim and low fat milk and margarine. We also started eating more poultry and fish. In this project you will have the opportunity to investigate trends in per capita consumption of poultry during the twentieth century .
We will start by finding a quadratic model y=ax^2+bx+c that has ordered pair solutions that correspond to the data for US. Per capita consumption of poultry given in the table .To do so, substitute each data pair into the equation. Each time, the result is an equation in three unknown: a,b, and c. Because there are three pair of data, we can form a system of three linear equation equations in three unknowns .Solving for the values of a, b, and c gives a quadratic model that represents the given data.
US PER CAPITA CONSUMPTION OF POULTRY (IN POUNDS)
YEAR X POULTRY CONSUMPTION Y (IN POUNDS)
1909 9 11
1969 69 33
2001 101 66
Write the system of equations that must be solved to find the values of a, b, and c needed for a quadratic model of the given data.
Solve the system of equations for a, b c.
Write the quadratic model for the date. Note that the variable x represents the number of years after 1990.
In 1939 the actual U.S per capita consumption of poultry was 12 lbs per person. Based on this information, how accurate do you think this model is for years other than those given in the table?
Use your model to estimate per capita consumption of poultry in 1950.
According to the model, in what year was per capita consumption of poultry 50 pounds per person?
In what year was the per capita consumption of poultry at its lowest level? What was that level?
Click here to see answer by stanbon(75887) |
Question 113411: I have a problem that is not from the textbook. My teacher has assigned the following problem and we are to use applications of the quadratic formula. I don't see how to put the problem into a square in order to use the quadratic formula. Here is the problem:
The rate of a bicyclist is 5mph faster than the rate of a runner. The bicyclist travels 12 miles in the same amount of time that it takes the runner to travel 8 miles. Find the rate of the runner.
This is how far I got:
12/x+5 = 8/x then, 8x - 12x +40 = 0
I would really appreciate any help. Thank you in advance.
Tynk
Click here to see answer by Fombitz(32388)  |
Question 113604: Two students solved a problem involving a quadratic equation. The first student made an error only in the constant term of the equation and determined the roots were 2 and 8. The second student made an error only in the coefficient of the linear term and determined the roots were -1 and -9. What was the quadratic equation ?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 113676: Could someone please help me with this problem.
A rectangular picture frame is 5 inches higher than it is wide and has an area of 126 square inches. Write an equation whose solution is the width of the picture frame. Use factoring to solve the equation and find the Dimensions of the frame.
Click here to see answer by josmiceli(19441)  |
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