Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 290274: Please disregard my previous problem I wrote it wrong.
Use the Quadratic Formula to solve.
0.5x^2=x+0.5
Click here to see answer by jim_thompson5910(28595)

Question 290274: Please disregard my previous problem I wrote it wrong.
Use the Quadratic Formula to solve.
0.5x^2=x+0.5
Click here to see answer by Earlsdon(6287)

Question 289684: I do not understand how to figure the solution to the equation:
x^2 + x + sqrt x^2 +x -2 = 0. I was hoping you would be able to help me understand this a little more.
Click here to see answer by richwmiller(9135)

Question 290291: Can someone help me finish this? I am in Iraq fighting with this crappy internet bout to fail pleeeeeease help!!! Just need the last four answers. THANKS!!
Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).

a. Does the graph of this equation open up or down? How did you determine this?
It opens down because the x^2 term is a negative.
b. Describe what happens to the tickets sales as time passes.
Over time the sales rise, peak then begin to fall.
c. Use the quadratic equation to determine the last day that tickets will be sold.
The last day of ticket sales will be on the 60.9th(61ST)day after going on sale
Note. Write your answer in terms of the number of days after ticket sales begin.

d. Will tickets peak or be at a low during the middle of the sale? How do you know?
The ticket sales will peak during the middle of the sale.
e. After how many days will the peak or low occur?
The peak occurs on the 30th day of sales.

f. How many tickets will be sold on the day when the peak or low occurs?

g. What is the point of the vertex? How does this number relate to your answers in parts e. and f?

h. How many solutions are there to the equation ? How do you know?

i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

Click here to see answer by richwmiller(9135)

Question 290301: 3x^2 – 6x – 24 = 0
Click here to see answer by jim_thompson5910(28595)

Question 290410: i am having trouble finding the x and y intercepts of f(x)=-2^2+3x+10
Click here to see answer by richwmiller(9135)

Question 290323: Sue rowed her boat across and back lake bend in 3 hours. if her returning rate was 2mph less than the going rate, and if the distance each way was 7 miles find her rate going.
would it be 7 over x plus 7 over x-2=3?
I have to solve it using the quadratic formula. Thanks
Click here to see answer by ankor@dixie-net.com(15652)

Question 290478: 10xsquare + 19x - 15 = 0
Click here to see answer by richwmiller(9135)

Question 290433: An employees new salary is $28,140 after getting a 5% raise. What was salary before increase in pay
Click here to see answer by nerdybill(6959)

Question 290493: amy paid $68.21 for a pair of running shoes during a 15% off sale, what was the reg price?
Click here to see answer by nerdybill(6959)

Question 290508: Slove using the addition and multiplication principles. 10-6y-4y<80
Click here to see answer by richwmiller(9135)

Question 290278: How would I solve this function to find the vertex, and x and y intercepts.
g(x)=-2x^2-16x+1
Thank you, Cynthia :)
Click here to see answer by richwmiller(9135)

Question 290543: A car leaves town and drives south east at 30 miles per hour. A second car leaves the same point at the same time and drives north east. After four hours they are 200 miles apart. How fast was the second car driving?
Click here to see answer by richwmiller(9135)

Question 290521: x^2-x=-5

Click here to see answer by checkley77(12569)

Question 290627: Find the vertex of the parabola:
y=-x²+8x+16
Click here to see answer by user_dude2008(1861)

Question 290628: Find the vertex of the parabola:
y=-x²+1/2x+2
Click here to see answer by user_dude2008(1861)

Question 290671: The cost of a trip is RM600. The cost for each member would be RM5 less if 10 non members were allowed to join. If the cost was shared equally among the students, find the number of members going for the trip
Click here to see answer by mananth(12270)

Question 290815: the instructions state: Solve the Quatractic equation by factoring and using the Zero-Product Property.
the problem is: 3y^2-11y=10
here is what i've done so far:
i subtracted 10 from the right side so it will equal 0 then i added it to the binomial on the left.
i got 3y^2-11y+10=0
next, i would have to factor the trinomial. i got this far:
(3y^2-y)(-10y+10)
this is where i got stuck because i cant factor it correctly in order to use the Zero-Product Property.
Thank you for your help
Click here to see answer by richwmiller(9135)

Question 290811: solve 32-18m2(square)=0
Click here to see answer by checkley77(12569)

Question 290866: determine the nature of the roots of the quadratic equation if the discriminant is 31
Click here to see answer by stanbon(57347)

Question 290877: find an equation for the parabola with vertex (-2,5) and y-intercept 1
Click here to see answer by stanbon(57347)

Question 290925: what happens when you quadratic formula look like this. x^2=-x+4
Click here to see answer by stanbon(57347)

Question 290950: Hi tutor please help me with this problem. Put the equation in the form ax2 + bx + c = 0. Use the caret (^) to enter exponents. For example, enter x2 as x^2

Question: x^2 + 8x + 10 = 3

(x*2)(x*2)=4x
4x+8x+10=3
-3 -3
4x+8x+7=0
Click here to see answer by ankor@dixie-net.com(15652)

Question 291017: How do you solve x^(2)+7=7? What is the vertex (x and y starting coordinates) of this equation?
Click here to see answer by jim_thompson5910(28595)

Question 291300: I have never had such a problem with maths before. Everyone says it's easy, and it might be easy, IF I ONLY GOT THE HANG OF IT. I've alwayas got around math problems before, but this time,it's quadric equations, and it seems impossible. I read my textbook over and over again, but just don't get it. It's like, my mind is blocked. My teachers keep saying the same old things again, and again, and I just don't understand it. I'd be delighted to get some help from here, because I don't want to ruin my straight-'A's on my report card with an ass shaped B, or worse, "C". I don't know what to do, or where to start from. I'm flunking. Please help!!!!
Aalia

Click here to see answer by checkley77(12569)

Question 291330: Tell weather the statement is always,never or sometimes true.
The function f(x)=ax²+c has three zeros
Click here to see answer by jim_thompson5910(28595)

Question 291330: Tell weather the statement is always,never or sometimes true.
The function f(x)=ax²+c has three zeros
Click here to see answer by killermen(2)

Question 291339: I need an exact solution and an approximate solution to 3 decimal points to equation x^-5x+5=0
Click here to see answer by richwmiller(9135)

Question 291342: a. SOLVE 3X^=6
b. solve x intercepts of x and y.
Click here to see answer by richwmiller(9135)

Question 291381: Find the vertex for the graph of the quadratic function
(x)= 5x squared - 38x + 21
Click here to see answer by stanbon(57347)

Question 291338: i need to solve this equation
Click here to see answer by lizette763(2)

Question 291563: Determine the k values such that y= 4x + k does not intersect the parbola y=-3x^2 -x +4
Click here to see answer by solver91311(16885)

Question 291601: Solve 3n2-6n+4=0 using completing the square method.

Click here to see answer by richwmiller(9135)

Question 291600: Solve 124x2 (x squared) = 36
Click here to see answer by College Student(505)

Question 291556: kindly help me with these equations...thank you....
(3 cos x + 7)(-2 sin x - 1) = 0 and
2 sin (x)cos (-x) = 2 sin (-x) sin (x)
Click here to see answer by richwmiller(9135)

Question 291677: Explain why the correct solution to the equation square root of x + 2 = x - 4 (which can be typed as sqrt(x + 2) = x – 4 ) is just 7. That is, explain what happens as you solve this equation and why you end up with the only solution x = 7.
Click here to see answer by richwmiller(9135)

Question 291678: Please help to answer the follwing question.
If the profit function for a commodity is p=6400x-18x^2-(1/3)x^3-40,000 dollars, selling how many units, x, will result in a maximum profit? Find the maximum profit.
(I am having troublw getting past this:
p'=6400-36x-x^2=0
Thanks!
Click here to see answer by stanbon(57347)

Question 291869: Hello,
I am trying to help a young man out with his home work.
Apparently it has been a while for me as well, so would you please help us with this math question?
Fresh milk cost $2.50 per liter. how much will (a) 20 liter, (b) d liter cost?
I need to figure out first what kind of math question this is and how to put it in the right written format. This way I should be able to research those type questions and be of better help to the next person I decide to help.
Thank you
Click here to see answer by checkley77(12569)

Question 291854: how do you solve the quadratic equation 2x^2=-(7x+3)

Click here to see answer by checkley77(12569)

Question 291853: how do you solve the quadratic equation 2x^2=-(7x+3)

Click here to see answer by checkley77(12569)

Question 291846: how do you do this problem.?
3x squared- 3=0
Click here to see answer by richwmiller(9135)

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