Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 28002: Of the 6 courses offered by the music department at her college, Kay must choose exactly 2 of them. How many different combinations of 2 courses are possible for Kay if there are no restrictions on which 2 courses she can choose?
Click here to see answer by venugopalramana(3286) |
Question 28000: Using the quadratic equation x2-3x+2=0 perform the following tasks:
solve by factoring.
solve by completing the square. Since it is x square, should i devide both sides by x?
solve by using the quadratic equasion.
I don't necesarily want it answered, I just need to know how to do these equations.
Click here to see answer by sdmmadam@yahoo.com(530) |
Question 28119: Im falling behind in Algebra due to illness. If I could see a problem done for me I could use it as a referance. Any help would be GREATLY appriciated!
Can you please solve the equation by using the "square root method"? Thank you for your time!!!
Click here to see answer by Earlsdon(6287) |
Question 28141: Placing a photograph behind a 12-inch by 12 inch piece of matting. The photograph is to be positioned so that the matting is twice as wide at the top and bottom as it is at the sides. If the area of the photograph is to be 54 square inches, what are the dimensions? I do not understand how to set this up into a quadratic equation.
Click here to see answer by longjonsilver(2297)  |
Question 28313: The general equation os a quadratic polynomial is p(x)=ax(squared)+bx+c with a,b,c all real numbers and a doesn't = 0. In this problem we show that three points in the plane uniquely determine a quad polynomial, )just as two points in aplane uniquely determine a line).
Step 1. Suppose that we were given the three point (-1,1),(1,5), and (2,10). We want to find the quad poly P(x) which passes through these points. So, evaluate p at each x value. For example, since p(-1)must be 1 (why?), we get
p(-1)=a(-1) squared+b(-1)+c=1 (arrow) a-b+c=1.
Evaluating p(1) and p(2), we get two more equations. What are they?
p(1)=
p(2)=
Step 2: We now have _________________ linear equations in the _______________ unknowns___,__________, and _______. Thus, we can try to solve for _,_____, and ____. Once we have values for ___,______, and __, our polynomials will be determined.
Step 3: set up the augmented coefficient matrix. We can start with
M= [1 -1 1 1]
[? ? ? ?]
[? ? ? 10].
There are 6 values missing. Where do they come from? What are they? What variable does the first column represent? The second? The third?
Step 4:
Using elementary row operations, we transform M into the matrix M' that looks like
M'= [1 0 0 1]
[0 1 0 2]
[0 0 1 2].
I need to be able to explicity show the computations -- i.e the row of operations - leading from M tp M'.
From this it follows that a=____, b____, and c=___. Thus our polynomial p(x) is p(x)=?
Step 5:
Check the answer by evaluating p(x) with the a, b and c values determined in step 4. We should have p(-1)=1, p(1)=5, and p(2)=10.
Click here to see answer by longjonsilver(2297)  |
Question 28519: IF the equation of the parabola is written y=ax2+bx+c, then a must be..
The parabola on this graph is an upside down bowl with its vertex being at 2 on the y axis...
1. zero
2. positive
3. negative
4. none of the above
Click here to see answer by AnlytcPhil(1277)  |
Question 28541: To Whom it may Concern,
My name is Stephanie A. Thoma and i have been trying to solve the
following equation.
(2x-1) = 1/2
I have tried squaring both sides, as well as the quadriatic equation formula with no success
Click here to see answer by askmemath(368) |
Question 28978: thanks for your help. A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft^, what is the width of the path?
A=(2)LW
2x30.20=1200
1200-400=800 sq ft left
could the path be 20 ft wide? 20 times 20 times 2=800
Click here to see answer by stanbon(57361) |
Question 29248: The area of a circle can be shown as:
A=Pi(x^2-20x+100)
Use factoring to find the expression for the radius of a circle.
this equation factors to (x-10)(x-10)
so the expression for the radius of a circle is r=(x-10)
If the are of the circle is 16pi^2ft What is the value for x?
A=pir^2
16pi^2=pi(x-10)^2 and I am back where I started from. Thank you for the help.
Click here to see answer by Earlsdon(6287) |
Question 29455: if a ball is thrown directly upward with a velocity of 20 feet per second, its heigh (in feet) after t seconds is given by y= 20t - 16t^2. what is the max height attained by the ball?
Click here to see answer by Paul(988) |
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