Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 474400: I need help, here is the question, what is the answer, please, please please...
While traveling to and from a certain destination, you realized increasing your speed by 40 mph saved 4 hours on your return. If the total distance of the roundtrip was 640 miles, find the speed driven while returning.
Click here to see answer by lwsshak3(6505)  |
Question 474815: I need a brush-up on completing the square. I am working with equations for ellipses. I just need help getting this problem into the right form for an ellipse by completing the square.
Here is an example:
x^2-2x+4y^2+8y+1=0
I know that eventually this ends up looking like (x^2-2x+1)+4(y^2+2y+1)=-1+1+4(1). I do not understand how we get here. I know that we are supposes to multiply both(?) sides by the square of half of the x coefficients, but I'm still confused. Anyway, an explanation for a dummy like me would be super awesome. Thanks!
Click here to see answer by Edwin McCravy(8909)  |
Question 474925: find three consecutive integers such that the square of the sum of the smaller two is equal to twice the largest.
(three consecutive integers are x, x+2, and x+4)
(the square of the smaller two are x^2 and (x+2)^2)
Click here to see answer by mananth(12270)  |
Question 474933: I have to figure the dimensions of a fence in a rectangular area, using a 1000 sq ft of my back yard for a dog to run and play in using a Quadratic Equation. Did I calculate this the width correct? Thank you
L = 2W +5
L = length, W = width, P = perimeter, A = area
〖2w〗^2+5w-1000 = 0
A=2, B=5, C=1000
W = (-b±√(b^2-4ac))/2a
W = (-5±√(5^2-4(2)-1000))/(2(2))
W=(-5±√(5^2-4(2)-1000))/(2(2))
W = (-5±√(25-992))/4
W = (-5±√967)/4
W = (-5±√(-5+241.75))/4 = (236.75)/4 = 59.19 OR (-5-241.75)/4 = (-236.75)/4 = -59.19
W = 59.19 yards of fence
Click here to see answer by mananth(12270) |
Question 475083: I am a little confused on this problem and not sure where to start. Help would be greatly apprieciated.
The polynomial 0.0014x^3-0.07x^2+1.5x+11 models natural gas consumption in trillions of cubic feet, where x=0 corresponds to 1960, x=1 to 1961, and so on. In which year between 1979 and 1990 was natural gas consumption about 21.7 trillion cubic feet?
Thanks Abby
Click here to see answer by ankor@dixie-net.com(15652)  |
Question 475232: Find the vertex and the line of symmetry of the quadratic function.
F(x)=-2x^2+2x+1
The x coordinate of the vertex is ____. (Type a simplified fraction.)
The y coordinate of the vertex is ____. (Type a simplified fraction.)
The equation line of symmetry is ____. (Type a simplified fraction.)
Click here to see answer by rfer(12660) |
Question 475389: Problem: Solve using the quadratic formula: 5x(squared)-2x+9=0
x= 2 times the square root of 2(squared)-4(5)(9) over 5(2).
x= 2 times the square root of 4-180 over 10.
x= 2 times +or- the square root of -176 over 10.
x= +or- the square root of -176 over 5.
That is as far as I've gotten in the problem. I know that the answer is supposed to be 1/5 +- 2(square root of 11)/5i. I'm having a difficult time figuring out how to get there from the last step of the problem I listed.
Thank you.
Click here to see answer by Alan3354(30993)  |
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