Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 34600: Consider the parabola: y=x^2-6x+5.
(i) Complete the square.
(ii) Give the Vertex.
(iii) Give the x- and y-intercepts.
(iv) Graph the parabola.
I have been working on this one but cannot get it right. Please help.
Click here to see answer by stanbon(57347) |
Question 34766: I am trying to work out a problem and I am not sure how to work it. The problem was given to my class out of the book for extra credit.
The problem is: 2x2-x-21.
It is 2xsquared subtract x subtract 21
Thank You
Brittany Miller
Click here to see answer by checkley71(8403) |
Question 34925: I have to solve each problem then check my answer to be sure it is reasonable. Here's the problem:
A ten-gallon aquarium holding African cichlids is 3 inches higher than it is wide. It's length is 21 inches, and its volume is 2730 cubic inches. What are the height and width of the aquarium?
I have set it up to look like this:
(x-7)~2 + (x+1)~2 + x~2 then I have gotten that figured out to x~2-14x+49+x~2+2x+1=x~2 that is where I get stuck after subtracting the x~2 to get it on the same side as the rest of the equation.
Click here to see answer by mbarugel(146) |
Question 35039: The number of people n in the mall is modeled by the formula: n=-100x(sq)+1200x where x is the number of hours since the mall oopened this morning. If the mall opened at 9 am, when were there 2000 or more people in the mall?
Click here to see answer by hydromojo(20) |
Question 35453: In the planning stages of the renovation of an 1800-square-foot space, the amount of office space allocated per person is increased by 25 square feet when 6 people are removed to an adjoining building. How many people share this renovated space after the move?
How much space does each person have?
1800/x + 25 = 1800/x – 6
Click here to see answer by Paul(988) |
Question 35606: Totally lost. Thanks for any help.
2) For the function y = x2 - 6x + 8, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space.
b) What is the line of symmetry?
Answer:
c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Show graph here.
Explanation of graphing.
d) In your own words, describe how this graph compares the graph of y = x2?
Answer:
Click here to see answer by rapaljer(4667)  |
Question 35607: Again please help.
4) Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.
Answer:
Show work in this space.
Click here to see answer by Paul(988) |
Question 35605: Please help. I do not understand how to do this.
1) Using the quadratic equation x2 - 3x + 2 = 0, perform the following tasks:
a) Solve by factoring.
Answer:
Show work in this space.
b) Solve by completing the square.
Show work in this space.
c) Solve by using the quadratic formula.
Show work in this space.
Click here to see answer by elima(1433) |
Question 35679: A ball is thrown into the air with the velocity of 48 feet per second.
With h for height and t for time and height determined with h=16tsquared+48t=4.
How may seconds will the ball reach maximum height.
What is the maximum height.
Click here to see answer by rapaljer(4667)  |
Question 35688: Question 35679:
A ball is thrown into the air with the velocity of 48 feet per second.
With h for height and t for time and height determined with h=16tsquared+48t+4.
How may seconds will the ball reach maximum height.
What is the maximum height.
Click here to see answer by rapaljer(4667)  |
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