Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 816095: Please help me solve this question by using the Quadratic formula to
-x^2 - 3x = -5 for x.
Thank you
Click here to see answer by TimothyLamb(4379)

Question 816274: Can you please help me solve this with the Quadratic Equation?
x^2+39x+360=0
When I tried it, I came up with -39 +/- sqrt(1521-56160)
Click here to see answer by TimothyLamb(4379)

Question 816302: You have decided to become an alpaca farmer and need to make a rectangular pen for your animals to stay in. You have purchased 72 feet of fencing materials to make their pen, and you would like to maximize the area of the pen so the alpaca can be as comfortable as possible.
A) Use what you know about the perimeter to determine the dimensions of the pen in terms of x.
http://imageshack.us/photo/my-images/543/896r.png/
B) Use Part A to write an equation to model the possible area of the pen in terms of x .
C) Use the equation you wrote in Part B to determine the maximum possible area of the alpaca pen.
D) An alpaca will feel comfortable in a pen with about 30 ft^2 per alpaca. How many alpacas can fit comfortably in the pen you created ?
Thanks for any help.

Click here to see answer by TimothyLamb(4379)

Question 816417:
A ball is thrown from an initial height of 6 feet with an initial upward velocity of 33 feet per second. The ball's height h (in feet) after t seconds is given by the following.
h=6+33t-16t^2
Find all values of t for which the ball's height is 22 feet.
Round your answer(s) to the nearest hundredth.
Click here to see answer by richwmiller(17219)

Question 816576: What's the exact solution of x-7(squareroot x)+12=0
Click here to see answer by MathLover1(20849)

Question 816741: A rectangle is 7 cm longer than it is wide. Find the dimensions of the rectangle if its area is 120 sq-cm
Click here to see answer by LinnW(1048)

Question 816741: A rectangle is 7 cm longer than it is wide. Find the dimensions of the rectangle if its area is 120 sq-cm
Click here to see answer by stanbon(75887)

Question 816782: Divide 12 into 2 parts such that the sum of their squares is 80
Click here to see answer by LinnW(1048)

Question 816792: what is the equation of the quadratic function with roots -2 and 4 and a vertex at (1,9)?
Click here to see answer by LinnW(1048)

Question 816825: Find the quadratic that has the following characteristics: vertex : (-3,2), Y-intercept: (0, -7)
Click here to see answer by ewatrrr(24785)

Question 817049: Studying quadratic equations. Can you help with an equation for this word problem?
Laura wants to plant a rectangular garden next to her house. she needs to enclose the garden with a fence, and will use the house as one side of the fence. If laura has 63 feet of fencing to use, what is the maximum area that she can enclose? What are the dimensions of the garden?
Click here to see answer by TimothyLamb(4379)

Question 817058: What is are the steps to solving this quadratic formula 3/4x^2-2x+1/2=0. Thank you.
Click here to see answer by mananth(16946)

Question 817214: The floor of a rectangular cage has a length 4 feet greater than its width, w. James
will increase both dimensions of the floor by 2 feet. Which equation represents the
new area, N, of the floor of the cage?
Click here to see answer by LinnW(1048)

Question 817134: 5x^2-9x-6=12
Click here to see answer by Cromlix(4381)

Question 817341: im trying to solve this 45x^2-5 its only a and c no b? im confused
Click here to see answer by ewatrrr(24785)

Question 817309: Please help! :-)
A rectangular piece of cardboard has a length 3 inches less than twice the width. A square 3 inches on a side is cut out of each corner and the sides are turned up to form an open box with a volume of 132 in^3. Find the dimensions of the unfinished box.
Click here to see answer by rothauserc(4718)

Question 817484: find two positive numbers whose difference is 6 and whose product is 1080
Click here to see answer by TimothyLamb(4379)

Question 817595: A music store sells beginner guitar sets. The manager uses the equation y = -10x squared + 400x +2250 to model his monthly revenue, y. How many guitar sets, x, should he sell to earn the maximum revenue?
Click here to see answer by TimothyLamb(4379)

Question 817600: A duck drives under water and its path is describe by the equation y= 2x^2 - 4x, where y represent position of duck in meters and x represent time in seconds.
a) how long was the duck under water?
b) how long was the duck under water at least 0.5 meters below water surface?

- thank you.
Click here to see answer by TimothyLamb(4379)

Question 817818: what would be the graph of x^2+1 and x^2-x+4
Click here to see answer by TimothyLamb(4379)

Question 818084: hello,
Please help me solve these two problems, I got about half way through them and I got stuck.
1. solve by factoring 4w^2-25=0
2. Solve by Quadratic formula
3/4(x^2)-2+3/4=0
Thank you so much for your help
Click here to see answer by mananth(16946)

Question 818152: Find the t-intercpets of h=-16t^2+112t algebraically, (using either factoring or the quadratic formula). And find the vertex of h=-16t^2+112t. Show work.
Click here to see answer by TimothyLamb(4379)

Question 818102: hello,
Please help me solve this problem. I do not know to approach it.
Solve with quadratic formula
3/4(x^2)-2x+1/2=0
Click here to see answer by TimothyLamb(4379)

Question 818015: Solve
a) x^(2/3) + x^(1/3) - 2 = 0
Thanks so much in advance:)
Click here to see answer by jsmallt9(3758)

Question 818013: Solve
a) x^6 - 9x^3 + 8 = 0
Thanks so much in advance:)
Click here to see answer by jsmallt9(3758)

Question 818372: [ write the function in vertex form, identify the vertex,AOS, and direction of opening for:
y = -3x^2 - 10 ]
Click here to see answer by stanbon(75887)

Question 818372: [ write the function in vertex form, identify the vertex,AOS, and direction of opening for:
y = -3x^2 - 10 ]
Click here to see answer by TimothyLamb(4379)

Question 818393: (m-1/4)^2=49/16
Click here to see answer by TimothyLamb(4379)

Question 818423: solving equations by completing the square.
p^2+16p-22=0
I can't seem to come up with two factors that work.
Click here to see answer by Alan3354(69443)

Question 818423: solving equations by completing the square.
p^2+16p-22=0
I can't seem to come up with two factors that work.
Click here to see answer by Edwin McCravy(20054)

Question 818451: Complete the square for this function:
Y=-0.06d^2+2.13
Click here to see answer by stanbon(75887)

Question 818675: [ solve this quadratic equation using the quadratic formula: x^2-22x+21=0 ]
Click here to see answer by TimothyLamb(4379)

Question 818675: [ solve this quadratic equation using the quadratic formula: x^2-22x+21=0 ]
Click here to see answer by jim_thompson5910(35256)

Question 818750: How would I graph y=x^2-10
I already know my vertex is (0,-10) so I would start with these points but where do I put my other points?
The quiz I'm using has be placing 2 points one of which being (0,-10) I just dont know how to find the next....
Click here to see answer by TimothyLamb(4379)

Question 818760: Can someone help me with this question please :-)
Bonnie Wolansky has 100 ft of fencing material to enclose a rectangular exercise run for dog. One side of the run will border her house, so she will only need to fence three sides. What dimensions will give the enclosure the maximum area? What is the maximum area?
Thank you
Click here to see answer by TimothyLamb(4379)

Question 818755: Solve by completing the square.. What value should you add to each side of the equation?
x^2+2x=-6
Click here to see answer by TimothyLamb(4379)

Question 818889: I need help! Please tell me how to graph the line that goes through the point (-4,2)and has slope -4
Click here to see answer by josgarithmetic(39613)

Question 819035: find the quadratic function y=a(x-h)^2 whose graph passes through these points: (9,-12) and (3,0)
Click here to see answer by TimothyLamb(4379)

Question 819255: Hello, I need an explanation on this problem: 3p^2 + 4p = 5
The answer is P=2�sqrt(19)/3
For whatever reason, after using the quadratic formula, I get P=-2� sqrt(19)/3
As we know, the quadratic formula requires us to change the "4" in the problem to a "-4" [p=-4p� sqrt4^2-4(3)(-5)/2(3)].
HOW is the "2" a positive number? Please help
Click here to see answer by solver91311(24713)

Question 819328: f(x)=-(x+1)^2+4
vertex-
line of symmetry-
x intercept-
y intercept-
Click here to see answer by ewatrrr(24785)

Question 819363: Please help me solve this equation by using perfect square :
Click here to see answer by josgarithmetic(39613)

Question 819463: [ The profit that a company makes depends on the price, p, that they sell their items. The company's profit is determined by f(p) = -2p^2 +24p -54 thousand dollars. At what price (to the nearest cent) should the company price their items to earn a profit of $15,000? ]
Click here to see answer by TimothyLamb(4379)

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