Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 121755: The equation h=-16t^2 + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112ft/s, where t is the time after the arrow leaves the ground . Find the time it takes for the arrow to reach a height of 180 ft?
t = 180/112
t = 1.6 seconds
Not sure if I'm doing the problem right but just double checking.
Click here to see answer by jim_thompson5910(35256)  |
Question 121755: The equation h=-16t^2 + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112ft/s, where t is the time after the arrow leaves the ground . Find the time it takes for the arrow to reach a height of 180 ft?
t = 180/112
t = 1.6 seconds
Not sure if I'm doing the problem right but just double checking.
Click here to see answer by algebrapro18(249) |
Question 121854: This problem seems very simple but I have been stuck on it for 20 minutes and I don't know why!
x^2-x=0
The solution given is x=(0,1) but I do not understand how it was derived. Thankyou!
First you need to look how can you break this down.
so x^2-x = 0, well if you factor out x you have x(x-1)= 0. That means either that x = 0 or x-1=0 solve for x and x = 0 or 1
Click here to see answer by checkley71(8403) |
Question 121854: This problem seems very simple but I have been stuck on it for 20 minutes and I don't know why!
x^2-x=0
The solution given is x=(0,1) but I do not understand how it was derived. Thankyou!
First you need to look how can you break this down.
so x^2-x = 0, well if you factor out x you have x(x-1)= 0. That means either that x = 0 or x-1=0 solve for x and x = 0 or 1
Click here to see answer by jecegc(3) |
Question 121968: The length of a rectangle is 1cm longer than its width. If the diagonal of the rectangle is 4cm, what are the dimensions(the length and width) of the rectangle?
x + (x+1)= 4
Am I on the right track in solving this problem?
Click here to see answer by oscargut(2103)  |
Question 121978: A rectangular flower bed is to be constructed along the front of a house.If there is 30m of landscaping border to be used along the side of the house, determine the dimensions of the flower bed and the maximum area which can be enclosed.
I began with 30=2w+l
30-2w=l and my teacher said this was right so far but I don't know what to do next:(
Click here to see answer by oscargut(2103) |
Question 121978: A rectangular flower bed is to be constructed along the front of a house.If there is 30m of landscaping border to be used along the side of the house, determine the dimensions of the flower bed and the maximum area which can be enclosed.
I began with 30=2w+l
30-2w=l and my teacher said this was right so far but I don't know what to do next:(
Click here to see answer by stanbon(75887) |
Question 121978: A rectangular flower bed is to be constructed along the front of a house.If there is 30m of landscaping border to be used along the side of the house, determine the dimensions of the flower bed and the maximum area which can be enclosed.
I began with 30=2w+l
30-2w=l and my teacher said this was right so far but I don't know what to do next:(
Click here to see answer by bucky(2189) |
Question 121999: A rectangular play enclosure for some dogs is to be made with 60m of fencing using the kennel as one side of the enclosure. Algebraically determine the quadratic function that models the area of the enclosure and use it to find the dimensions that produce the maximum area.
Click here to see answer by checkley71(8403) |
Question 122005: If a Honda Prelude bought in 2000 cost $32000 and depreciates at a rate of 20% per year, and a Chevrolet Corvette bought in 1994 cost $43000 and depreciates at a rate of 15% per year, algebraically determine which car is worth more in 2005.
Click here to see answer by Fombitz(32388)  |
Question 122161: A rocket is launched into the air. The height in feet, of the rocket, above the ground is given by h(t)=-4.9t(squared) + 192t, where t represents the time in seconds after the launch. (Hint:draw a picture)
#1. How long is the rocket in the air before it reaches the ground?
#2. How long does it take the rocket to reach its highest point?
#3. How high is the rocket at its highest point? I know that to find this answer I use the formula for the line of symmetry, and the vertex is the highest point..I think that it is 19.6 feet if I did it right.
The other questions I do not know how to do.
Thank you!
Click here to see answer by josmiceli(19441)  |
Question 122245: A cup of coffee is poured and left to cool on the counter. The formula that represents the temperature of the coffee over time is given by T=80(0.9)^(x/2)+20 where T is temperature in degrees celcius, and x is time in minutes.
a) What was the initial temperature of the coffee?
b) How quickly is it cooling?
c) What is the coolest temperature the coffee will reach? How quickly?
d) What is the temperature of the coffee after 10 minutes?
Click here to see answer by stanbon(75887) |
Question 122238: A baseball player hits a ball into the air. The ball's height above the ground, in metres, t seconds after being hit, is approximated by h(t)=1+13t-5t^2. Algebraically determine the time when the ball first reaches a height of 9 m.
Click here to see answer by algebrapro18(249) |
Question 122239: A skier decides to jump a ramp. The path of the jump can be represented by the quadratic relationship h(t)=-6t^2+12t+1 where h represents the height above the ground in metres,and t represents time after leaving the ramp in seconds. Algebraically determine the maximum height reached by the jumper and the time at which this maximum height occurs.
Click here to see answer by algebrapro18(249) |
Question 122509: Do you think you could help me find these limits? Really appreciate your help, in advance.
Thank you so much!
X + 1
lim =
x→ -1 x^ – 1
--------------------------------
lim 3 =
x→ 0
---------------------------------------
( x
lim =
x→0 ( 2
Click here to see answer by Edwin McCravy(20054)  |
Question 122462: A rectangular rug 4m by 2m is placed in a room with floor area 24m^2 such that a strip of bare floor of uniform width surrounds the rug. Set up a function which models this situation and use it to algebraically determine the width of the strip of bare floor.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 122529: Is this continuous at x = 1 ? I do not understand this. Why would this or why would it not be continuous at x = 1 ? Thank you in advance for your expert knowledge and assistance.
{2x if x ≤ 1}
F (x) =
{x2 + 1 if x > 1}
Click here to see answer by oscargut(2103) |
Question 122533: Could you please help me find the f’(x) for the f(x) I believe this is the derivative.
f(x) = 6/X4 , f’(x) =
f(x) = x3 – 2x2 + 3x – 4 , f’(x) =
f(x) = 2 x – 3x 5/3 , f’(x) =
Thank you so much for your help!
Click here to see answer by Fombitz(32388) |
Question 122464: A skier decides to jump a ramp. The path of the jump can be represented by the quadratic relationship h(t)=-6t^2+12t+1 where h represents the height above the ground in metres, and t represents time after leaving the ramp in seconds. Algebraically determine the maximum height reached by the jumper and the time at which this maximum height occurs.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 122467: A solution has a concentration of 10 milligrams of salt per cubic centimetre. Water is slowly added such that the concentration of salt is reduced by 20% every two hours. Determine the equation that models the concentration of salt in terms of time and use it to find the concentration after 7 hours.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 122584: If anyone could help me with the following 2 problems I would appreciate it.
Thank You
Principal of zero
v^2+5v-14=0
-----------------------------------------------
The polynomial 0.041h-0.018a-2.69 can be used to estimate the lung capacity in liters of a female with a height in centimeters and age in years. Find the lung capacity of a 60 year old woman who is 170cm tall.
Her lung capacity is approximately _______ liters.
Click here to see answer by stanbon(75887) |
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