Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 144184: Please help!! The problem is 4m^2 +25=20m.
This is what I have.. 4m^2- 20m+ 25=0. I used the formula b^2 - 4ac and the answer is 400-400=0. The discriminant is zero so there is only one answer. But I can't figure out the #.. Any help is greatly appreciated!!! Thanks.
Click here to see answer by jim_thompson5910(28715)

Question 144195: (r/s)=(s)/(r-s) this is one equation in 2 unknowns. It's not possible to solve for s and r.
Click here to see answer by Alan3354(31518)

Question 144226: I have an assignment for school that says "give a real life example of a quadratic formula application". How do I find this?
Click here to see answer by stanbon(57967)

Question 144268: The formula of d=0.044s(squared)+1.1s related to maximum speed s in miles per hour that you should travel in order to be able to stop in d feet. Suppose you have 80ft (about 10 car lengths) between your car and the car in front of you. Find the maximum speed you should travel. Does this seem reasonable to you. Explain.
Click here to see answer by vleith(2825)

Question 144281: solve by the quadratic formula
45. 3y2-4=0
47. 4u2+3u=0
please help.
Click here to see answer by vleith(2825)

Question 144284: x^2 -3x = -6x -1
Can somebody explain how to do these? I have a whole paper of them to solve and don't know where to start!
Get all the terms on the left, and 0 on the right side.

Add and subtract to make the right side 0.
Then use the quadratic equation to solve.
a = 1, b = 3, c = 1

This gives , and

Click here to see answer by Alan3354(31518)

Question 144293: If you are looking at a graph of a quadratic equation, how do you determine where the solutions are?
Click here to see answer by stanbon(57967)

Question 144287: x^2 - 10x - 1 = -10
Click here to see answer by Earlsdon(6294)

Question 144283: y=x2-6x+8
y=x-4

Click here to see answer by checkley77(12569)

Question 144308: x+ square root of x+5 = 7
please help me solve this problem.
Click here to see answer by MathLover1(6812)

Question 144307: What is the equation of the parabola that goes through the points
(2, –1), (1, 3), and (0, 13)?
Click here to see answer by stanbon(57967)

Question 144322: his is another WORD PROBLEM that i do not understand how to do, can someone please help?
2. You are trying to decide how to most efficiently use your oven. You do not want the oven running at a high temperature when it is not baking, but you also do not want to waste a lot of time waiting for the oven to reach the desired baking temperature.
The instruction manual on the industrial oven suggests your oven temperature will increase by 45 degrees Fahrenheit per minute. When the over is initially turned on, the temperature is 70 degrees Fahrenheit. What will the temperature of the oven be after 7 minutes? Write an expression and explain how you arrived at your answer.

Click here to see answer by vleith(2825)

Question 144321: Will some one please help me with this word problem, I answered a) but am not even sure if i have that right, wil someone help me please!
1. You have recently found a location for your bakery and have begun implementing the first phases of your business plan. Your budget consists of an $80,000 loan from your family and a $38,250 small business loan. These loans must be repaid in full within 10 years.
a) What integer would represent your total budget? $118,250
b) Twenty-five percent of your budget will be used to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. Do not solve.
c) How much money will rent and utilities cost? Explain how you arrived at this answer.
d) Suppose an investor has increased your budget by $22,250. The investor does not need to be repaid. Rather, he becomes part owner of your business.
Will the investor contribute enough money to meet the cost of rent and utilities? Support your answer, and write an equation or inequality that illustrates your answer.
e) This equation illustrates your remaining funds after paying for rent and utilities. How much money is left? Explain how you arrived at your answer.
$38,250 + $80,000+ $22,250-0.25($80,000 + $38,250) =
¬

Click here to see answer by vleith(2825)

Question 144323: The Perimeter of a Rectangle 108m The length is 3m more than twice the width. Find the dimensions. What is the length and the width? (simplify)?
Will someone please help me with this word problem. I cannot do these for the life of me. help
The perimeter is 2L + 2W, so the Length + the Width is 54, 1/2 of 108.
It says, L = 2W+3, and
L+W=54.
2 equations in 2 unknowns:
L+W=54 eqn (1)
L=2W+3 eqn (2)
Substitute for L in eqn (1)
W+2W+3=54
3W + 3 = 54
3W = 51
W = 17
L = 37
Click here to see answer by Alan3354(31518)

Question 144369: I need to solve this quadratic equation:
x^2 – 3x = -6x – 1
Click here to see answer by MathLover1(6812)

Question 144330: Graph the equation and identify the y-intercept. HELP Please.

Click here to see answer by Alan3354(31518)

Question 144385: I have one word problem left and need some help.
Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 9% protein? How many ponds of the cornmeal should be in the mixture? How many pounds of the soybean meal should be in the mixture?
Click here to see answer by vleith(2825)

Question 144440: Someone, please show me how to find the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. The only thing i need to do is find the number and types of solutions.
(3)1/2y2 - 4y - 7(3)1/2 = 0. i would appreciate any help i can get. Thank you in aadvance.

Click here to see answer by Alan3354(31518)

Question 144442: On this problem, just like the other, i don't understand how you can have the solution equal to zero. It says that i need to use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. How do i determine the number and types of solutions. For this equations 2x2 - 10x + 25 = 0. Please help me someone.
Click here to see answer by stanbon(57967)

Question 144453: what is the quadratic formula?
Click here to see answer by stanbon(57967)

Question 144528: I need help completing the square of this quadratic equation. Thanks.
x^2 + 16x = 0
Click here to see answer by Alan3354(31518)

Question 144532: I need help solving this word problem which I'm supposed to solve using a quadratic equation. Any help would be appreciated. thanks.

A designer attempts to arrange the characters of his artwork in the form of a square grid with equal numbers of rows and columns, but finds that 24 characters are left out. When he tries to add one more row and column, he finds that he has 25 too few characters. Find the number of characters used by the designer.
Click here to see answer by Alan3354(31518)

Question 144530: I need help with this word problem: The instructions are to use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Any help would be appreciated. Thanks.
Click here to see answer by Alan3354(31518)

Question 144534: .4
x = 81
its x to the 4th power = 81
I don't know if I'm doing it right
(x^+9)(x^-9)=0
(x+3)(x-3)(x+3)(x-3)=0
x-3=0 x=3
x+3=0 x=-3
(3,-3)

Click here to see answer by Alan3354(31518)

Question 144531: I need help with this word problem: The instructions are to use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.

The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?

Any help would be appreciated. Thanks.
Click here to see answer by ankor@dixie-net.com(15746)

Question 144570: On this word problem, i guess i need to turn this into a quadratic expression and solve, but i only thought that you solved word problems from linear equations. i have no idea how this is even done. i would try it on my own if i knew where to begin. If someone can get me started i will glady finish it so i can learn. Thank you.
Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by jim_thompson5910(28715)

Question 144572: Sorry, but here's another word problem and i can barely do those that are already in equation form. The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?
Click here to see answer by checkley77(12569)

Question 144598: Use the quadratic formula to solve
2x^2-x=-3
the solution set is { }
Thank you for your help!
Click here to see answer by checkley77(12569)

Question 144596: Write a quadratic equation in the variable x having the given number solutions. Type the equation in standard form, ax^2+bx+c=0
Solution:9, only solution
Thank you for your help!
Click here to see answer by nabla(475)

Question 144641: I need help with a problem that is not featured here,it is:
5t^2+5=135
Please help me!!!
Click here to see answer by faceoff57(82)

Question 144620: f(x)=x2-4
Click here to see answer by edjones(7569)

Question 144662: f(x)= x^2 -4 find roots and graph
Click here to see answer by checkley77(12569)

Question 144718: Determine whether the following equations have a solution or not? Justify your answer.
5x2 + 8x + 7 = 0

Click here to see answer by solver91311(17077)

Question 144720: Determine whether the following equations have a solution or not? Justify your answer.
2x2 + x - 1 = 0

Click here to see answer by nabla(475)

Question 144722: Determine whether the following equations have a solution or not? Justify your answer.
4/3x2 - 2x + 3/4 = 0

Click here to see answer by checkley77(12569)

Question 144730: i need to factor the quadratic expression completely and find the roots of this expression. i came up with (15x-13) & (9x-7) is this correct for this problem? Thank you.
135x2 - 222x + 91
Click here to see answer by jim_thompson5910(28715)

Question 144734: One of my biggest problems in algebra is figuring how to turn a word problem into a solution so that i can solve it. For instance, A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally.
Click here to see answer by crystel(1)

Question 144731: i factored this quadratic expression completely, and came up with the answer and roots of the expression. My answer is 6(x^2 + 5), root of 20. The problem is 6x2 - 42x + 72. Please tell me this is correct?
Click here to see answer by jim_thompson5910(28715)

Question 144747: Which of the following are solutions to the quadratic equation? Check all that apply
x(exponent)2 + 12x + 36 = 7
-6
√7-6
√7
-6
-√7-6
√7+6
Click here to see answer by Alan3354(31518)

Question 144765: What value of b makes the polynomial below a perfect square?
x2 - bx + 36

Click here to see answer by stanbon(57967)

Question 144786: Factor the polynomial expression. If necessary, use the caret (^) to enter exponents. For example, write x2 as x^2.
x2 + 2x - 35
Click here to see answer by checkley77(12569)

Question 144826: In this question I need to use the “discriminant” to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!!
1. 4/3x2 - 2x + 3/4 = 0

Click here to see answer by jim_thompson5910(28715)

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