Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 63911: Solve by completing the square: I attempted to do this problem, can you please analyze and inform me as to where I may have gone wrong. I think I missed something or did a step wrong.
x^2+10x+13=0
x^2+10x+13-13=0-13
x^2+10x+(5)^2=-13+(5)^2
(x+5)^2=-13+25
(x+5)^2=5
x+5=±5
x+5-5=-5±5
x=-5±5
x=-5-5
x=-10
or
x=-5+5
x=-0

Click here to see answer by tanimachatterjee(60) About Me 

Question 63927: Kindly assist .
The people welfare state wants to create a welfare agency . its attempting to determine the number of analyst to hire to process welfare applications . efficient experts estimate that the average cost of processing an application is a function of the number of analyst . the cost function is of the form
C = f(x) = 0.01x^2 – 5 Ln x + 60
Determine the numbr of analyst who should be hired in order to minismize the avarage cost per application

Click here to see answer by stanbon(57290) About Me 

Question 63925: Kindly Help !!
USA TWO (UT) processes and sells Tea and coffee products. UT’s revenue function is of the Form R = ax + by ( $ 000 ) , where X and Y are tons of Tea and Coffee products sold . John, in an effort to establish the specific form of the revenue function obtained the following data.
John has also established that UT’s total cost function is specifically:
C = 10x^2 + 20 y^2 + 10xy
Determine the tones of each product that should be processed and sold to maximize profit and the maximum profit

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Question 63933: $5,000=2,000(r-$2)-$6,000
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Question 64000: solve using the quadratic formula
this problem is taken from a homework sheet on quadratic equations, can you please show me the necessary steps involed in completing this problem.
x^2-3x-3=-5

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Question 64000: solve using the quadratic formula
this problem is taken from a homework sheet on quadratic equations, can you please show me the necessary steps involed in completing this problem.
x^2-3x-3=-5

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Question 64014: 3K SQUARED+7K=4
TEXTBOOK: ISBN 0-321-12711-0

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Question 64021: using the quadratic formula solve
x^2-2x=5x-2
can you please show me the steps to finding the answer.

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Question 64016: SOLVE BY COMPLETING THE SQUARE:
2X-24=-2X SQUARED

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Question 64026: solve by factoring
x^2-10x=-16

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Question 64042: Help.... I am having a real hard time with this one. Any help would be greatly appreciated.
f%28x%29=2%28x-4%29%5E2+-3

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Question 64052: Stuck again.... ugh:-( Can someone please help me??
f(x)= -x^2+4x+1

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Question 64085: Solve the following quadratic equation:
4x^2 = 13x + 12

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Question 64103: The problem is
X3 + X2 is less than or equal to 4X +4
How do you derive the quadratic formula using "complete the square"?
Thank you
Sandra Gardner

Click here to see answer by stanbon(57290) About Me 

Question 64138: please help
add
3x/x^2 + 3x - 10 - 4 / x + 5

Click here to see answer by funmath(2925) About Me 

Question 64144: Please help to :
Evaluate
a^2 - b^3(a - b) if a = 1/3 and b = - 1/2

Click here to see answer by tutorcecilia(2152) About Me 

Question 63924: please assist .
Thanks
National charity (NC) a welfare NGO solicits for donations to assist the less fortunate members of society. During the festive season from previous undertakings NC has established that donations will be received at a rate of d(w) donors per week ,
Where d (w) = 100e^-0.1w
w = soliciting period in weeks.
Usually NC requires 2000 donors to accumulate enough donations to serve the purpose
What is the minimum period required for the exercise before a festive season?
The answer should be 10.99 weeks but am getting 13 weeks ....

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Question 64142: pleas ehelp to solve
-2x - 4^0 - x / 3 + x + 3^0 / 5 = 3

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Question 64141: Please help to solve
3x/4 - 2x - 3 / 3 = 6

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Question 64205: I don't know how to get the answer. Don't know where to start. If you can help it would be greatly appreciated. I.m a 62 yr old grandmom and sometimes my mind can't comprehend like I wanted it to.
State the domain of f(x)= x-3/x square -16

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Question 64205: I don't know how to get the answer. Don't know where to start. If you can help it would be greatly appreciated. I.m a 62 yr old grandmom and sometimes my mind can't comprehend like I wanted it to.
State the domain of f(x)= x-3/x square -16

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Question 64292: 1.) If g(x)= 2-2x^2/3x^3+10x+3, find g(o)
2. If f(x)=-3x+5 then f(x+h)-f(x)/h = ?
3. If y=3x^2-6x+5, determine the vertex and the parabola
4. Find the midpoint between the two points (8,6) and (4,8)

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Question 64225: I'm stumped about this problem. A rocket is fired into the air. The height of the rocket h(t) after t seconds is given by the formula h(t)=80t-16^2. After how many seconds is the rocket 96 feet high
This is what I started:
h(t)=80-16^2
h(96)=80(96)-16(96)^2 Now I am lost???? Can you show me how to complete this problem? Thank you so Much!

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Question 64367: Simplify
x^2 - 5x - 14 / x^2 + 2x - 3
DIVIDED BY
x^2 - 3x - 28 / x^2 + 3x - 4

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Question 64360: Can you help me solve this application? I'm trying to solve applications involving parabolas.
The length of a rectangle is twice the width. The area is 16m^2. Find the length to the nearest hundredth of a meter.
Thanks
Liz

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Question 64361: I need to graph the folliwing equations. Identify the vertex, intercepts and equation of the axis of symmetry. If a value is irrational , find a decimal approximation.
y=x^2-5x+4

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Question 64361: I need to graph the folliwing equations. Identify the vertex, intercepts and equation of the axis of symmetry. If a value is irrational , find a decimal approximation.
y=x^2-5x+4

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Question 64385: I need to graph the following equations. Identify the vertex, interceps and equations of the axis. Thank You
y=-x^2+2

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Question 64378: please help to solve :
2 - 3x / 5 + x/3 = 4



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Question 64397: Solve. x^2 – 6x – 7 = 0
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Question 64414: Solve. x^2 + 5x + 6 = 0
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Question 64499: Can you please help me solve using the quadratic equation metohd?
7x^2 + 10x = -2

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Question 64519: Write in Standard form. Find a: 3x2^ = 2x + 1
a) -3
b) 2
c) 1
d) 3
e) None of these

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Question 64498: Can you please help me solve using the quadratic equation?
x^2 + 2x - 24 = 0

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Question 64540: Bryan Starr is a 17 year old high school senior from Upper Arlington, Ohio, who started his own lawn service when he was 12. His business has grown substantially and he has been able to put away money for college, buy a truck, and invest in a new lawn equipment to keep up with the growing demand for his services. Suppose his weekly revenue R can be represented by the formula
R= -p[squared] + 50p-125, where p is the average price he charges for each lawn.
a) Sketch a graph of the related function. Explain why it behaves like it does, considering Bryan's business.
b) Explain how Bryan could earn $400 each week.
c) What price should he charge to earn the maximum revenue? What would be his revenue?
d) Use the discriminant to find if there is a price he could charge that would make his weekly revenue $600. Explain.

Click here to see answer by stanbon(57290) About Me 
Question 64540: Bryan Starr is a 17 year old high school senior from Upper Arlington, Ohio, who started his own lawn service when he was 12. His business has grown substantially and he has been able to put away money for college, buy a truck, and invest in a new lawn equipment to keep up with the growing demand for his services. Suppose his weekly revenue R can be represented by the formula
R= -p[squared] + 50p-125, where p is the average price he charges for each lawn.
a) Sketch a graph of the related function. Explain why it behaves like it does, considering Bryan's business.
b) Explain how Bryan could earn $400 each week.
c) What price should he charge to earn the maximum revenue? What would be his revenue?
d) Use the discriminant to find if there is a price he could charge that would make his weekly revenue $600. Explain.

Click here to see answer by josmiceli(9668) About Me 

Question 64569: x^2-x=56
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Question 64760: I am working with quadratic equations. Need to solve for the variable: 3x^2+3=7x. Your help would be tremendously appreciated. regards.
Click here to see answer by stanbon(57290) About Me 

Question 64772: in a graph of y=x^2+2x-9 - how would one find the vertex of this graph. Your help would be sincerely appreciated.
Click here to see answer by stanbon(57290) About Me 

Question 64777: For this question I'm suppose to complete the sqare and find the roots of the quadratic equation. Any help would be GREAT!!!
x2 - 2/3x = 0

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Question 64794: Please help: Simplify -i^4
Click here to see answer by 303795(595) About Me 

Question 64877: I have been working with the quadratic equation since September and have finally mastered it. I need to do a presentation on it and have come up with a question I can't seem to find the answer to. Here is it:
What is the quadratic equation used for? I understand the formula and can plug in the numbers, but where, in practical life, do we use it?
Thanks so much for your time.
Mary Watson

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Question 64932: I have been trying to solve this word problem. I know I need to use the Quadratic equation but I need to know if I am doing this correctly because the answer doesn't make sense
A web developer is creating a Web site. the Site will have frams along the top and left sides. These frames will take up one third of the computer screen. What will the width x of the frames be on the screen shown
_____________
|_|x__________|
|x|
| |
|_|___________|
Screen is 11in X 7in need to solve for x
I think the equation for this is
11x+7x-x^2=77/3
-3x^2+54x-77=0
3x^2-54x+77=0
If this is correct then I think the best way to answer this is by using the quadratic formula to solve it.

Click here to see answer by 303795(595) About Me 

Question 64978: On question 64722 answered by Stan which was finding the vertex of y=x^2+2x-9. I understand how to get the vertex which is (-1, -10). However, what coordinates were used to graph the parabola.. Can you please show me the coordinates and explain how I get these coordinates. Thanks for your time and help..
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Question 64855: f(x)=x^2+6x+5
Find the x value of the vertex (turning point)

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