Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 7496: An object is projected upward from the top of a tower. Its distance
in feet above the ground after t seconds is given by s(t)=-16t^2+64t+80. How many seconds will it take to reach ground
level?
Click here to see answer by ichudov(404)   |
Question 7689: Here is the problem. I tried several ways but I'm probably way off.
Swimming pool. The length of a rectangular swimming pool is 2x - 1 meters, and the width is x + 2 meters. Write a polynomial that represents the area. Find the area if x is 5 meters.
So, this is what I did.
(2x - 1)(x + 2)
(10-1) (5 + 2)
9 * 7 = 63
Area = 63 meters
OR......
(2x - 1)^2(x + 2)^2
(10-1)^2 (5 + 2)^2
9^2 * 7^2
81 * 49
Area = 3969 meters (I think this one is wrong)
OR..... using FOIL
(2x -1) (x + 2)
2x^2 + 4x - x - 2
2x^2 + 3 - 2
2x^2 + 1
2(5)^2 +1
Area = 51 meters
OR....
Multiplying vertically
2x - 1
x + 2
4x - 2
2x^2 +x
2x^2 + 5x - 2
50 + 25 - 2
Area = 73 meters
I tried, please tell me if I'm close. Thanks so much in advance for your help. I really appreciate it.
Click here to see answer by Earlsdon(4898)  |
Question 7689: Here is the problem. I tried several ways but I'm probably way off.
Swimming pool. The length of a rectangular swimming pool is 2x - 1 meters, and the width is x + 2 meters. Write a polynomial that represents the area. Find the area if x is 5 meters.
So, this is what I did.
(2x - 1)(x + 2)
(10-1) (5 + 2)
9 * 7 = 63
Area = 63 meters
OR......
(2x - 1)^2(x + 2)^2
(10-1)^2 (5 + 2)^2
9^2 * 7^2
81 * 49
Area = 3969 meters (I think this one is wrong)
OR..... using FOIL
(2x -1) (x + 2)
2x^2 + 4x - x - 2
2x^2 + 3 - 2
2x^2 + 1
2(5)^2 +1
Area = 51 meters
OR....
Multiplying vertically
2x - 1
x + 2
4x - 2
2x^2 +x
2x^2 + 5x - 2
50 + 25 - 2
Area = 73 meters
I tried, please tell me if I'm close. Thanks so much in advance for your help. I really appreciate it.
Click here to see answer by prince_abubu(198) |
Question 7801: Could you please help me with this problem ?
Sunset rents an SUV at $21.95 plus $0.23 per mile. Sunrise rents the same vehicle for $24.95 plus $0.19 per mile. For what mileage is the cost the same? Hint: Using "m" for miles and "c" for cost, write one equation for each rental company.
Click here to see answer by prince_abubu(198) |
Question 8458: A retailer spent $48 to purchase a number of special mugs. Two of them were broken in the store, but by selling each of the remaining mugs for $3 above the original cost per mug, she made a total profit of $22.
Construct an equation that will allow is to solve for the number of mugs, denoted by n, that were originally purchased.
Click here to see answer by srinivas123(23) |
Question 8547: My brother is having a problem solving the problem:
[(x^3)+(3x^2)-(4x)+3] / (x+1)
I've been working on it for like a half an hour now -- but I'm having a hard time remembering how to do it. Do you have any hints - or could you help me out? Thanks. -Julie
Click here to see answer by glabow(165) |
Question 8591: I have two problems that I am stuck on.
1. 5z^2 - 4z + 1= 0
this is how I started.
5z^2 - 4z = -1
5z^2 4z + 4 = -1 + 4
(z-2)^2 = -3
z-2 = plus or minus i the square root of -3
2 + - i / 5
I dont even know if this is correct.
2. 5t^2 + 4t - 3 = 0
5t^2 + 4t = 3
5t^2 - 4z + 4 = 3 - 4
(t + 2)^2 = -1
t + 2 = =/- -1
then I'm lost. Any help would be greatly appreciated. Thank you.
Click here to see answer by rapaljer(3620) |
Question 8494: For the quadratic equation 3x^2=7-2x I decided to subtract 3x^2 from both sides of the equation and came up with 0=-3x^2+7-2x and then from there I solved the equation using the quadratic formula. Is that the correct way to solve this equation?
Click here to see answer by rapaljer(3620) |
Question 9067: How do you solve these two word problems, I need some HELP!
1. Bart can complete his science task twice as quickly as Carl can. When they work together, the task takes 3 hours. How long would it take Carl to do the work alone?
2. 3. The ratio of women to men in a certain club is 3 to 2. If there are 24 male club members, then how many female club members are there?
Click here to see answer by longjonsilver(2297)  |
Question 9065: I really need help with these two questions, these math questions are frustrating me.
1) In case of a quadratic function, why are there two x-intercepts and one y-intercept?
2) What is the meaning of “axis” in regards to a quadratic function?
Click here to see answer by longjonsilver(2297) |
Question 9225: I need help with this word problem. It deals with solving quadratic equations by finding square roots.
A baseball diamond is actually a square with sides of 90 feet. With Runners on 1st and 2nd, the third baseman fields a ball, runs to third base to get a force out and then throws the ball to first for a double play. Find the length of the third baseman's throw to the nearest foot.
Click here to see answer by DWL(56) |
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