Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 128327: I dont understand what we have to do for this problem.
Working alone, Anton can install a brick patio in 2 hours less than Bill. Together Anton and Bill can install the patio in 4 hours. To the nearest tenth of an hour, how long does it take Bill to install the patio working alone?
Click here to see answer by stanbon(75887)  |
Question 128438: John and Paul agree to share the work in mowing a rectangular lawn. John agrees to mow half the lawn measuring 30m by 40m by mowing strips of uniform width around the perimeter. Paul agrees to mow the small remaining rectangle when John is finished. How wide a strip should John mow to ensure they share the work equally???
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 128516: Hello
I am have difficulty trying to work this one out, your assistance would be greatly appreciated. Ta.
I am asked to solve 6(3X-4)^2-7(3X-2)-5=0 using the quadratic equation.
The following is what I have tried
6(3X-4)^2-7(3X-2)-5=0
then becomes
6(3X-4)(3X-4)-21X+14-5=0
then becomes
(18X-24)(3X-4)-21X+9=0
then becomes
54X^2-72X-72X+96-21X+9=0
then becomes
54X^2-165X+105=0
This is as far as I could go, and have come to the conclusion that it cannot be done. Can you please confirm this for me, and show me the whys and hows, with an explanation please. Thank you. Cheers D.
Click here to see answer by checkley71(8403) |
Question 128802: Michael purchases a rare coin for $100 that will double in value every 9 years. His friend John purchases a rare book for $75 that will double in value every 6 years. If both purchases were made at the same time, in how many years will they be of equal value??? Please HELP me :)
Click here to see answer by stanbon(75887) |
Question 128813: In a right triangle , the shorter leg is 6 less than the longer leg. The hypotenuse is 6 less than twice the shorter leg. Set up a quadratic equation and use it to determine the lenghth of the hypotenuse of the right triangle.
Click here to see answer by checkley71(8403) |
Question 128813: In a right triangle , the shorter leg is 6 less than the longer leg. The hypotenuse is 6 less than twice the shorter leg. Set up a quadratic equation and use it to determine the lenghth of the hypotenuse of the right triangle.
Click here to see answer by edjones(8007)  |
Question 128844: Hi
I am stuck on this one which has me completely bamboozled. Your assistance would be greatly appreciated.
I am asked to Sol;ve the following equation for the variable given, and to write my answer with 3 significant figures.
The equation is as follows:
2y/5=3/5+2/y
So far this is as far as I have been able to go and I started like this.
2y/5=3/5+2/y
Then
2y/5=2/y+3/5
Then
2y/5-2/y-3/5=0
But I now do not know where to go from here. I have looked at the general quadratic equation ax^2+bx+c=0, but cannot work out which is the a, b or c. Again I have also looked at the x=-b+or-sqrt b^2-4ac/2a, but cannot see where to find the a, b or c.
Your help would really be appreciated. Thank you.
Cheers D.
Click here to see answer by solver91311(24713)  |
Question 128844: Hi
I am stuck on this one which has me completely bamboozled. Your assistance would be greatly appreciated.
I am asked to Sol;ve the following equation for the variable given, and to write my answer with 3 significant figures.
The equation is as follows:
2y/5=3/5+2/y
So far this is as far as I have been able to go and I started like this.
2y/5=3/5+2/y
Then
2y/5=2/y+3/5
Then
2y/5-2/y-3/5=0
But I now do not know where to go from here. I have looked at the general quadratic equation ax^2+bx+c=0, but cannot work out which is the a, b or c. Again I have also looked at the x=-b+or-sqrt b^2-4ac/2a, but cannot see where to find the a, b or c.
Your help would really be appreciated. Thank you.
Cheers D.
Click here to see answer by stanbon(75887) |
Question 129057: I am in 9th grade and taking Algebra 1. We are now learning to solve quadratic equations by graphing them. I just don't understand. For example, if they say graph quadratic einequalities and shade the solution region how do I do that? It's confusing.
y ≥ x2 (x squared)
y > -2x2 (x squared)
y ≥ x2 – 2x + 1 (x squared)
Click here to see answer by ilana(307) |
Question 129060: The manager of an 80 unit apartment complex is trying to deceide what rent to charge. Experience has shown that at a rent of $200.00 all the units will be full but with one additional unit will remain vacant f0r each $20.00increase. Find the # of occupied unit if the total revenue is $20,020.
This is the problem I am trying to solve, however I am not clear on how or where to start it. If you could possibly show me the steps I would greatly appericate it. Thank you
Click here to see answer by solver91311(24713) |
Question 129116: Mrs. Wilson is five times as old as her daughter Kori. In five years Mrs. Wilson will be 3 times as old as Kori. How old is each at the present time?
I know that Mrs. Wilson is 25 and Kori is 5 (by process of elimination) but don't know how to set up the equation and how to solve.
Thanks for any help!
This question is not from a textbook......the teacher handed it out on a typed sheet.
Click here to see answer by stanbon(75887) |
Question 129139: Hi there hows it going? I was wondering if you would be able to assist me please. I am stuck on how to work out a word problem, regarding a rectangle. It goes like this: The perimeter of a rectangular field is 184m, and its area is 1920m^2. Find the dimensions of the recangle.
I have worked out that the dimensions are in fact 32m x 60m = 1920m^2, or (32 x 2) + (60 x 2) = 184m. However what I need to know is how to work this out with a formular as I will not always have an entire hour to muck around. Your help would be greatly appreciated. Cheers D.
Click here to see answer by edjones(8007) |
Question 129134: Please help us solve this equation. Its been a long time since we had to do this!!!
Question: Factorise by finding the highest common factor (HCF)and introducing grouping symbols.
1. -15m + 5m to the power of 3
2. -100t - 50g
Thanking you
Click here to see answer by edjones(8007) |
Question 129250: well i hav a question about 2x2+15x-8=0 the 2 next to x is an exponent sorry i dont know how to type exponents. my question is that i know i need to use the quadratic formula and the answer is x=-8 and x=0.5 but i dont know why i need to use the quadratic formula and why the answer is x=-8 and x=0.5 . thanks for your time please answer me back asap
Click here to see answer by checkley71(8403) |
Question 129299: Hello i am stuck on this problem and was wondering if you can help.
a picture frame measures 15 in. by 13 in. there is 156 in squared of picture showing. the frame is of uniform thickness. find the thickness of the frame.
some more information there is a drawn box. that has (15-2x) and (13-2x) in it also.
Click here to see answer by solver91311(24713) |
Question 129582: How's it going? I was wondering if you would be able to assist me please, as I am stuck as to how to go about this question. Thank you.
The question is as follows:
With the use of a graphics calculator, sketch the following y=5x^2-3x+2
Your help with this one is greatly appreciated. Thank you.
Cheers D.
Click here to see answer by bucky(2189) |
Question 129582: How's it going? I was wondering if you would be able to assist me please, as I am stuck as to how to go about this question. Thank you.
The question is as follows:
With the use of a graphics calculator, sketch the following y=5x^2-3x+2
Your help with this one is greatly appreciated. Thank you.
Cheers D.
Click here to see answer by chitra(359) |
Question 129645: The manager of an 80 unit apartment complex is trying to deceide what rent to charge. Experience has shown that at a rent of $200.00 all the units will be full but with one additional unit will remain vacant f0r each $20.00increase. Find the # of occupied unit if the total revenue is $20,020.
This is the problem I am trying to solve, however I am not clear on how or where to start it. If you could possibly show me the steps I would greatly appericate it. Thank you
1 solutions
--------------------------------------------------------------------------------
Answer 94355 by solver91311(860) on 2008-02-25 20:07:28:
You can put this solution on YOUR website!
Let x be the number of occupied units. Then 80 - x is the number of unoccupied units.
The rental fee is 200 plus 20 times the number of unoccupied units, so:
, which simplifies to:
This is the amount charged per apartment, and there are x occupied apartments, so the total revenue is:
and that is equal to $20,020.
So:
Divide by -20:
You can factor this (the prime factors of 1001 are 7, 11, and 13), or use the quadratic formula, whichever you prefer, but the roots come out to be and ,
So, if the rental fee is 200 + 20(3) = 260 (3 unoccupied units), then the total revenue is 77 * 260 = 20020.
But if the rental fee is 200 + 20(67) = 1540, then the total revenue is 13 * 1540, also = 20020.
The second root presumes that the relationship of rent to unoccupied units is linear across the entire range of possibilities, which I suspect is not the case in real life.
***************This the help that I received and I understand it up to here,however how do you compute this into a quadratic equation? That is what I don't understand. Thank you for your time........................................
Click here to see answer by josmiceli(19441)  |
Question 129645: The manager of an 80 unit apartment complex is trying to deceide what rent to charge. Experience has shown that at a rent of $200.00 all the units will be full but with one additional unit will remain vacant f0r each $20.00increase. Find the # of occupied unit if the total revenue is $20,020.
This is the problem I am trying to solve, however I am not clear on how or where to start it. If you could possibly show me the steps I would greatly appericate it. Thank you
1 solutions
--------------------------------------------------------------------------------
Answer 94355 by solver91311(860) on 2008-02-25 20:07:28:
You can put this solution on YOUR website!
Let x be the number of occupied units. Then 80 - x is the number of unoccupied units.
The rental fee is 200 plus 20 times the number of unoccupied units, so:
, which simplifies to:
This is the amount charged per apartment, and there are x occupied apartments, so the total revenue is:
and that is equal to $20,020.
So:
Divide by -20:
You can factor this (the prime factors of 1001 are 7, 11, and 13), or use the quadratic formula, whichever you prefer, but the roots come out to be and ,
So, if the rental fee is 200 + 20(3) = 260 (3 unoccupied units), then the total revenue is 77 * 260 = 20020.
But if the rental fee is 200 + 20(67) = 1540, then the total revenue is 13 * 1540, also = 20020.
The second root presumes that the relationship of rent to unoccupied units is linear across the entire range of possibilities, which I suspect is not the case in real life.
***************This the help that I received and I understand it up to here,however how do you compute this into a quadratic equation? That is what I don't understand. Thank you for your time........................................
Click here to see answer by stanbon(75887) |
Question 129723: I have some problems I got wrong on my test. Please explain step by step what I should have done. I am allowed four, so here they are.
1.) Pizza Unlimited has the following prices for pizzas. Price is related to diameter by a quadratic equation. Fit a quadratic equation into the data points (8, 3.39), (12, 5.12), and (16, 7.29).
Diameter Price
8 inch $3.39
12 inch $5.12
16 inch $7.29
A.) Price =what quadratic equation?
B.) Using the equation find the price of a 14 inch pizza.
I know the answers, but I did the problem wrong, will you please show me the steps? How did they get the equation?
Answer A: 0.01375x^2 +0.1575x+1.25
Answer B: 14 inch pizza costs $ 6.15
2.) Solve for x. (x-6)^2 + (x+1)^2 = 0
The solutions are 5 + 7 i /2, 5-7 i/2
How do I know when to place the “ I “ one there?
Please show the step by step way to get this solution.
3.) What is the maximum product of two numbers whose sum is -6? What numbers yield this product? The max product is?
I put the max product at 9 (incorrect) and the numbers yielding this product at -3, -3 (correct)
However when I did the same problem with -16 instead of -6, I got 49 for the max product and it was correct. I thought the max product was the number in question squared. How do I get the max product?
4.) Solve the formula for the given number. Assume all variables represent positive numbers.
(N=n^2 – 19 n)/6; for n
I got n = (19 + sqrt sign 361 + 36 N)/2 (incorrect)
The answer is n = (19 + sqrt sign 361 + 24 N)/2
What did I do wrong, please show me the steps.
Thanks for all your help!!!!!!!!!! :o)
Click here to see answer by stanbon(75887) |
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