Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 107171: Draw a rough sketch of the quadradic function. Label the vertex and any x and y intercepts.
f(x)=-2(x-3)2+8 (that is (x-3) squared)
Click here to see answer by stanbon(75887)

Question 107173: i need some help with these i am trying to solve these by quadratic equation formula and these are the answer that i came up with.
(x - 1)^2 = 7
i am getting 1 +- sqrt 7
x^2 - 9x - 4 = 6
i get -1 and a 10
4x^2 - 8x + 3 = 5
i am getting 2 +-sqrt 6/2

Click here to see answer by MathLover1(20849)

Question 107154: i am asking for help for a worded quadratic equation.the lenght of a rectangle is 5cm more than its width and the areais 24cm square find the length and the width of triangle.i really need help with this equation i am wondering if i could get the working out thank u
Click here to see answer by scott8148(6628)

Question 107158: I can't seem to set it up right to get the answer? Larry Drove 329 miles in 2hrs more than it took Terrell to drive 260 miles. Terell drove at an average of 5 miles per hour faster than Larry. How fast did Larry travel. Please Help.
Click here to see answer by scott8148(6628)

Question 107275: what is the null factor law?
Click here to see answer by MathLover1(20849)

Question 107287: Please help me solve this problem: Find two consecutive positive integers such that the sum of their sraures is 85.
Click here to see answer by Annabelle1(69)

Question 107282: I cannot get anywhere with this problem, please help.
Find two consecutive positive integers such that the sum of their squares is 85.
Click here to see answer by MathLover1(20849)

Question 107371: I need help with this kind of problem:
Find the vertex, the y-intercept, and symmetric point, and use these to sketch a graph.
y=2x^2 -11x -12
I am having problems solving for the vertex.
Click here to see answer by Annabelle1(69)

Question 107433: f(x)=x^3-5 i need help with the steps solving this problem for graphing thanks for the help
Click here to see answer by Annabelle1(69)

Question 107509: x^2-4-0 , 3x+x^2=0, x^2-10x+2=0 , 4x^2-16x=-16
Click here to see answer by solver91311(24713)

Question 107515: solve by vertex form :
y = x^2+6x-12
y = 4x^2-24x-11
Click here to see answer by stanbon(75887)

Question 107572: c=5/9(f-32) need to isolate for f
Click here to see answer by checkley71(8403)

Question 107572: c=5/9(f-32) need to isolate for f
Click here to see answer by bucky(2189)

Question 107641: 3(x-2)�=21
Click here to see answer by jim_thompson5910(35256)

Question 107630: The time =f(x), in seconds, for a free falling object to fall, x ft is modeled by f(x) = square root of x/16. Worker drops hammer from a building and it hits ground after 4 seconds, what is ht. hammer dropped from?
You have helped me before and I really thank you!! I have solved a few on my own, just really stuck this time. Thanks again!!!
Click here to see answer by scott8148(6628)

Question 107677: I have a fence wire 100M long nad wish to fence a rectangular piece of land on three sided ONLY. What is the maximum area I can fence and also the length and width. Please confirm the solution is correct. Thank you.
Lenght =x
Width = y
x+2y=100
x= 100-2y
Area = xy = (100-2y)y
-2y^2+100y
Completing squares
-2(y-25)^2-(25x25)
This is the vertex form and gives us the x intercept.
That is the width is 25 and hence length is 50
Area is 1250
Is the answer correct.

Click here to see answer by stanbon(75887)

Question 107729: 3(2-6)= 2x-1(4+3)
Click here to see answer by stanbon(75887)

Question 107616: Hi wondering if anyone can help, can someone explain to me symmetric functions
of the roots. I have this equation , and this question .

Many thanks
Tom
Click here to see answer by vertciel(183)

Question 107772: I was wondering if you could help me. I don't think this problem is in this particular book,it is off of a webassign.net section 6.6 but I don't know anywhere else to look. I have this problem 5.5(x-9.5)(x+4.5)(x-3.2) and I'm suppossed to put it in general form, I think some call it polynomial form. I have tried it a hundred different ways and I come up with 5.5x^3-451/10x^2-147.125x+752.4 and 5.5x^3-45.1x^2-147.125+752 everytime I submit this it tells me I'm wrong what else do I do to get it in the form ax^2+bx+c Thanks for any help you can give
Click here to see answer by scott8148(6628)

Question 107830: I need to solve the following quadratic equation using the quadratic formula and I am just not getting it. Please show me the steps. Thank you.
3x^-x-1=0
Click here to see answer by jim_thompson5910(35256)

Question 107967: solve the equation by completing the square

Click here to see answer by jim_thompson5910(35256)

Question 107967: solve the equation by completing the square

Click here to see answer by MathLover1(20849)

Question 108006: Im just reviewing math test that's coming in 2 weeks and I dont understand any of it. When you solve can you show me how you got the following answers?
5-2x=3x-7x=25
5(d+4)=7(d-2)
3g-3=3(7-g)
2z-1=4+z
Click here to see answer by jim_thompson5910(35256)

Question 108100: use quadratic formula to solve equation
0=x^2+x-20
Click here to see answer by checkley71(8403)

Question 108099: 0=x^2=x-20
Click here to see answer by checkley71(8403)

Question 108264: 5-2x=3x-7x+25
5(d+4)=7(d-2)
3g-3=3(7-g)

I really just dont understand equation with both sides. So explain CLEARLY please.
Click here to see answer by stanbon(75887)

Question 108276: Can someone please help me with this problem??
A revenue function is R(x)= 22x and a cost function is C(x)=-9x+341. The break even point is____?
Click here to see answer by stanbon(75887)

Question 108279: Find the length of a simple interest loan with P=$640, r=8.5%, and I=$95.20.
Click here to see answer by stanbon(75887)

Question 108286: A store selects four item from a selection of 6 items to arrange in a display. How many different arrangements are possible?
Click here to see answer by stanbon(75887)

Question 108282: I need help with this question. I have puzzled my brain for too long.
How much should be invested at 8% compounded semiannually in order to have $5000 at the end of 8 years. Thanks,
Click here to see answer by scott8148(6628)

Question 108289: For a sample of size n-100, proportion p-0.6, and at a 95% confidence level, What is the upper bound of the proportion?
Click here to see answer by stanbon(75887)

Question 108288: A student applies for two different scholarships. The probability of receiving the first scholarship is 0.3 and the probability of receiving the second is 0.4. What is the probability of the student receiving one scholarship? The decisions are made independently.
Click here to see answer by stanbon(75887)

Question 108287: If the probability that at least one person makes an A on the final exam is 0.15, what is the probability no one makes an A?
Click here to see answer by stanbon(75887)

Question 108285: A group of people consists of 14 men and some women. One man and one woman can be selected in 252 ways. How many women are in the group?
Click here to see answer by wgunther(43)

Question 108277: f(x)=(x+2)(2x-3). f(-2)=__
Click here to see answer by HyperBrain(694)

Question 108234: Hi, I need some help on solving this problem. I need to solve the quadratic equation by extraction of roots:
(2x-3)^2=-25
Thanks!
Click here to see answer by HyperBrain(694)

Question 108320: Determine the number of real solutions of the quadric equation
Please help me solve the number or real soultions for this equation.
}
Thank you
Click here to see answer by stanbon(75887)

Question 108322: Please help me find all real soultions for this equation.
{{2y^2=15+y}}}
The teacher said there are two answers which are 3 and -5/2. I can not get to either of these answers.
Thank you
Click here to see answer by stanbon(75887)

Question 108283: The future value of an annuity is A=$32,000. Periodic payments are made quarterly for four years and the annuity earns 8% compounded quarterly. What are the periodic payments?
Click here to see answer by Fombitz(32388)

Question 108339: I have been trying to solve this word problem and could use someone's help(note that the chapter is on quadratic equations):
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 400 ft2, what is the width of the path?
Click here to see answer by stanbon(75887)

Question 108368: Please help me solve this equation (X+5)^2=144
Click here to see answer by Fombitz(32388)

Question 108380: 4-7i/3i
Click here to see answer by Fombitz(32388)

Question 108379: completing the square
-1/2x�+4x-6=0
Click here to see answer by stanbon(75887)

Question 108379: completing the square
-1/2x�+4x-6=0
Click here to see answer by Fombitz(32388)

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