Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 461037:  Use the quadratic formula to find the roots
I get a=1 b=1 and c=12
If I'm doing this right I'm getting roots of  and 
Am I right? If so, I do I plug that into the original formula to check the answers (as required in my class)?
Click here to see answer by rwm(914)  |
Question 461169: Breifly discuss the effect of the sign of the coefficient a on the graph of y=ax^2+bx+c. Please include two example of graph to support your thoughts one where a<0 and one where a>0. If you do not include the actual graph, please describe your examples in detail with words.
Click here to see answer by stanbon(57415) |
Question 461455: I hope this is the right category. I wasn't sure where to put it. The beginning intro to the problem is kinda long. Sorry about that.
Ignoring air-resistance, the path of a projectile (a cannonball, a tight wad of paper), when close to the earth's surface, is approximately parabolic and is therefore described by a quadratic function. If the cannonball is launched at the point (0,0) in the xy-plane, its height h in feet as a function of x, the horizontal distance in feet from the launch point is given by
h = f(x) =
-16(1+m^2)x^2+mx
.....------
......v^2o
(The little o, I'm not sure how to type that in. My paper shows v squared and then a teeny zero to the right and lower. Sorry. It's been about 19 years since I've taken Algebra, so I'm not up on the language. It was also hard to type the fraction, but the actual fraction is (1+m^2) over v^2o. The rest isn't written on the fraction line but is beside the others to multiply the fraction by. Please ignore the periods.)
In this formula, the symbol vo (again, that little 0) is the initial launch speed in ft/sec and m is the slope of the initial trajectory. For example, when m=1, the cannon in our sketch makes an angle of 45 degrees with the horizontal. (Recal a line of slope 1 makes an angle of 45 degrees with the x-axis).
If m=1, and vo=80 ft/sec, you can check for yourself that this formula simplifies to:
y = h(x) =
-16(1+1^2)x^2+1x = -0.005x^2+x
......------
......80^2
Now, here is the problem (finally):
Use your knowledge of quadratic equations to find the following quantities:
* How far away from the launch point the ball hits the ground; this is called the range.
* the maximum height of the ball while it's in the air.
If anyone can help me understand how to even go about answering this, I would be beyond appreciative. I have read and read and re-read this problem, and I feel like I still have no clue what to do. And the scary thing is that this is only the first part of the question.
Thank you!
Click here to see answer by scott8148(6628)  |
Question 461655: Hello everyone,
I have no idea what to do with this, please help.
20√(-2)^20
now the first 20 needs to be above the √(checkpoint), I just do not know how to express that.
Thanks
Gina
Click here to see answer by rwm(914) |
Question 461997: I am having a lot of problems understanding how this works as I've tried to understand it based on others explanations. I vaugely remember the foil method as I know it was used in areas such as this but it's been a very long time since I've done them. If you could please help me understand how to get the right answer in easier to understand terms step by step for each I would really appreciate it! Thanks!!
Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? Show your answer using both words and mathematical notation.
Click here to see answer by stanbon(57415) |
Question 462147: Suppose that the cost C, in dollars, of producing x chairs in a factory is given by the following equation:
C = 2x2 – 40x + 2400
How many chairs can be produced for $4650?
Your Solution
Click here to see answer by rwm(914) |
Question 462262: 1. Rewrite y = x2 + 14x + 29 in general form.
2. Rewrite y = 3x2 - 24x + 10 in general form.
3. Solve for x: (x - 9)2 = 1
4. Solve for x: x2 + 24x + 90 = 0
5. Solve for x: 2x2 - 4x - 14 = 0
6. Create your own quadratic equation and demonstrate how it would be solved by graphing, factoring, the quadratic formula, and by completing the square.
Click here to see answer by MathLover1(6648)  |
Question 462296: Could you please help with this problem?
The profit function for the
recklus Hang gliding service is P(x) = -0.2x^2 +fx - m, where f represents the set up fee for a customer's daily excursion and m represents the monthly hanger rental. Also, P represents the monthly profit in dollars of the small business where x is the number of flight excursions facilitated in a month.
A) if $30 is charged for a set up fee, and the monthly hanger rental is $600, write an equation for the profit, P, in terms of x.
b) How much is the profit when 40 flight excursions are sold in a month?
c) How many flight excursions must be sold in order to maximize the profit? Show the work algebraically.
d) What is the maximum profit.
Click here to see answer by htmentor(789)  |
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