Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 5211: I've been working on word problems, but this one has me stumped.
A car travels 120 miles. A second car; traveling 10 mph faster than the first car, makes the same trip in one hour less time. Find the speed of each car.
Click here to see answer by glabow(165)  |
Question 6216: 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 us to solve for the # of mugs, denoted by N, that were originally purchased.(QUADRATIC EQUATIONS)
a)if the price for n mugs is $48, how can we express the cost per mug?
b)we are told that the retailer, in order to make a specific profit, sells the remaining mugs for $3 over the original cost per mug. using this imformation, and your answer to step (a), how can we express the selling price per mug?
c)since to of the mugs were broken in the store, how can we represent the # of mugs that are available for sale?
d)use your answers from step (b) and (c) to construct an expression for the amount of money made on the sale of the remaining mugs.
e)the profit on the mugs can be found by subtracting the cost of the mugs from the amount of money made on the sale of the mugs. write an equation that states this relationship between the money made, the cost, and the profit.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!
Click here to see answer by Abbey(339) |
Question 6194: Hello
I need to solve the following problem:
A company uses the function: C(x) = 2x2 – 40x + 250 to model the cost of producing x units. How many units must be made to minimize the cost?
Thanks much
Mhunter
Click here to see answer by Abbey(339) |
Question 6254: This problem states to factor each expression, I do not see how the derived.
Here is the problem:
ax^3 + bx^3 + 2ax^2y + 2bx^2y
This is the answer from the book: x^2(a + b)(x + 2y)
Please show me the steps to get this answer.
Help.
tsj
Click here to see answer by Earlsdon(6287) |
Question 6255: I am not certain how you get the answer for this, will you please show each step.
The Problem: ar^2 - brs + ars - br^2
I worked some of the problem:
ar^2 - brs + ars - br^2 = ar^2 + ars - brs - br^2
= a(r^2 + rs) -b(rs - r^2)
= (r^2 + rs)(rs - r^2)<-did the"a" and "-b" cancel out?.
This is the textbook's anwser:
r(r + s)(a - b)
I am not understanding, please help.
tsj
Click here to see answer by Earlsdon(6287) |
Question 6256: I am totally lost on this problem, please explain and show the steps.
Here is the problem:
2m^2n^2 - 32mn^2 + 8m^2 - 128
I thought the factor of this expression would be "2", but I lost and I do not understand how this is the answer: 2(m + 4)(m - 4)(mn^2 + 4)
Confused
tsj
Click here to see answer by rapaljer(4667)  |
Question 6253: I need help with this problem, I am evidently missing a step.
Here is the problem:
3x^2(r + 3s) -6y^2(r + 3s)
The answer in the book is: 3(r + 3s)(x^2 - 2y^2)
I can not figure out how this is the answer, will you please show each step.
Thanks.
tsj
Click here to see answer by rapaljer(4667) |
Question 6296: Hello
I am trying to solve the following:
A company has a profit function: P(n) = -3n2 + 36n + 80 to model the profit (in $1000) in selling n units. How many units must be sold to maximize the profit?
I am stuck as to how to begin. To maximize profits you would want an infinite number of units sold...??? What do I set my = to?
Click here to see answer by Earlsdon(6287) |
Question 6386: solve: x2+6x-12=0
I've tried factoring and can't come up with any factors.
Also tried completing the square
x2+6x+9=21
(x+3)(x+3)=21
can't get a number from there
Also tried plugging into quadratic equation
but the square root was of a number that wasn't a perfect square and didn't know how to express.
Can you helpz?
Click here to see answer by rapaljer(4667) |
Question 6395: I was given a problem written like this; I'm going to write out the cubed and squares for lack of a better way. These statements refer to the numbers or letters before them. The problem was written all together.
For all of a and b...
105acubedb+27asquaredbsquared-33abcubed
Click here to see answer by longjonsilver(2297)  |
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