Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 328470: Find the quadratic in standard form that goes through (-4,27), (1,2) (3,34)

Click here to see answer by ankor@dixie-net.com(22740)

Question 328433: What is the vertex of f(x)=3x^2-12x+11? I have tried to follow the example in the text and can not figure it out.
Click here to see answer by scott8148(6628)

Question 328561: a rectangle's length is equal to eight times its width.if the area of the rectangle is 392 square inches, what is the width of the rectangle?
Click here to see answer by checkley77(12844)

Question 328459: Solve:
w^4-14w^2-2=0
Click here to see answer by checkley77(12844)

Question 328458: During the first part of a trip, a canoeist travels 76 miles at a certain speed. The canoeist travels 2 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hours. What was the speed on each part of the trip?
(type an integer or a decimal. Round to the nearest hundredth)
Click here to see answer by checkley77(12844)

Question 328590: Kim starts to walk 3 mi to school at
7:30 A.M. with a temperature of 0�F. Her brother Bryan
starts at 7:40 A.M. on his bicycle, traveling 10 mph faster
than Kim. If they get to school at the same time, then how
fast is each one traveling?

Could someone please help me with this word problem? I can not seem to figure get an answer/
Click here to see answer by stanbon(75887)

Question 328649: y= 2(x-1)squared -4
Click here to see answer by nyc_function(2741)

Question 328716: The length of a rectangle is 9cm mor than its width. If the area of the rectangle is 76cm^2, find the dimensions. Round to the nearest thousandth if necessary.
Click here to see answer by mananth(16946)

Question 328728: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function. f(x)=-2(x+5)^2+4
Click here to see answer by stanbon(75887)

Question 328671: Find the value(s) of k so that 3/4 x^2 + kx = -27 has one real rational root.
Click here to see answer by Fombitz(32388)

Question 328725: Find the x-intercepts and y-intercepts. f(x)= -x+2x+8
Click here to see answer by nyc_function(2741)

Question 328735: Determine the nature of the solutions of the equation. x^2-10x+25=0
What does the equation have?

Click here to see answer by Fombitz(32388)

Question 328802: Explain how to solve a quadratic equation using the quadratic formula. Demonstrate the process with your own example.
Click here to see answer by Alan3354(69443)

Question 328813: In the equation (x+9)^2-6: Is the vertex 3,-3 and the symmetry 3?
Click here to see answer by Fombitz(32388)

Question 328813: In the equation (x+9)^2-6: Is the vertex 3,-3 and the symmetry 3?
Click here to see answer by Alan3354(69443)

Question 328769: two storage sheds are to have the same area. one is square and one is rectangular. the rectangular shed is 2 meters wide and 32 meters long. how large is one side of the square shed in meters?
Click here to see answer by Fombitz(32388)

Question 328753: During the first part of a trip, a canoeist travels 87 miles at a certain speed. The canoeist travels 9 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 5 hours. What was the speed on the FIRST part of the trip? What was the speed on the SECOND part of the trip?
(type an integer or a decimal. Round to the nearest hundredth)
Click here to see answer by ankor@dixie-net.com(22740)

Question 328850: Hello. I was hoping you could please help me with this problem.
I have to factor completely, and if prime, say so.
a. 40x^3 - 64x^2y
b. 13-14y + y^2
c. 9x^2- 30 + 25
I was hoping you could please show me how to factor these, because I don't know how to. Thank you so much.

Click here to see answer by Edwin McCravy(20054)

Question 328801: explain how to solve a quadratic equation by completing the square. Demonstrate the process with your own example.
Click here to see answer by solver91311(24713)

Question 328923: I need help witht the following problems. Will anyone help me?
Number 1: 3-w/w-5 - 8w-7/5-w
Number 10: Find the x intercepts for the graph equation y=x^2-4x-5
Number 15: solve by removing factors of 1: 5m^2+5m/15m^2+25m
Number 20: Multiply (5 sqrt 6 -15 sqrt3)(3 sqrt 6 + 9 sqrt 3)
Number 43: Solve sqrt 9x+55 = x+5
Number 49: Solve (x+9)(x-19)(x+8)>0
Number 50: state the value of the discriminant 6x^2-7x+7=0 Type of solution
Click here to see answer by solver91311(24713)

Question 328888: solve for x and intercepts in : 3x^2=2
Click here to see answer by nyc_function(2741)

Question 329011: Solve the following 3x^2-5x-13=0 what would the so;itions be and what would the x intercepts be?
Click here to see answer by stanbon(75887)

Question 329013: Solve by completing the square m^2-49/2m=1/2?
Click here to see answer by stanbon(75887)

Question 329015: solve for x providing exact answers using radicals as needed for the following equation x^2+12x+1=36
Click here to see answer by stanbon(75887)

Question 329015: solve for x providing exact answers using radicals as needed for the following equation x^2+12x+1=36
Click here to see answer by mananth(16946)

Question 329012: The lenghth of a rectangle is twice the width, the area is 288yd^2, what would the lenghth and width be?
Click here to see answer by mananth(16946)

Question 329014: what are the exact solutions and the approximate solutions for the equation x^2-7x+9=0? I am not sure how to find the answers
Click here to see answer by solver91311(24713)

Question 329077: A rectangular garden is to be surrounded by a walkway of constant width. The gardens dimensions are 24ft by 26 ft. The total area garden plus walkway is to be 1129ft^2. What must be the width of the walkway? round to the nearest thousandth if necessary.
The walkway must be _______ft wide.
Click here to see answer by mananth(16946)

Question 329083: find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x)=4x^2-40x+104
Click here to see answer by Fombitz(32388)

Question 329089: Find the label the vertex and the line of symmetry. Graph the function f(x)=2(x-2)^2
Click here to see answer by Fombitz(32388)

Question 329092: Find the x-intercepts and y-intercepts. f(x)=-x^2+2x+8
Click here to see answer by checkley77(12844)

Question 329087: Write a quadratic equation having the given numbers as solutions -7 and -2
Click here to see answer by Fombitz(32388)

Question 329087: Write a quadratic equation having the given numbers as solutions -7 and -2
Click here to see answer by checkley77(12844)

Question 329084: A.) Solve 6x+x(x-2)=0
What are the solutions?
B.) find the x-intercepts of f(x)=6x+x(x-2)
What are teh x-intercepts?
Click here to see answer by checkley77(12844)

Question 329090: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function f(x)=2x^2-8x+19
Click here to see answer by Fombitz(32388)

Question 329177: Create your own quadratic equation that cannot be solved by factoring, but can be solved using the quadratic formula. Identify the values of a, b, and c, and find the solutions using the quadratic formula. Show all work to receive credit.
Click here to see answer by solver91311(24713)

Question 329221: Hello,
I would greatly appreciate your help on these questions.
We have seen a parabola intersecting the x-axis twice and y-axis once.
1. Does any graph of any function intersect both the axes at least once? twice? or more?
2. How about a function that doesn't intersect any of the axes? Discuss with examples.
Thanks so much for your time!
Vanessa
Click here to see answer by Alan3354(69443)

Question 329116: Give exact and approx to 3 dec.pts. for x^2-7x+5=0: value of x,x^2+50=10: would I be right to factor this one first? m^2-1/2m=7/2 complete the square. I have no idea even how to start this one.f(x) 9x^2+12x+4 find x and y intercepts, 3x^2=2 solve for x and give x and y intercepts. I know not to factor this one but am lost as to what's next.
Click here to see answer by Fombitz(32388)

Question 329163: A museum director is trying to maximize profit. Current daily attendance is 500 people paying $30 each for a ticket. X represents the number of $5 increases in ticket price. How many $5 increases will provide the maximum income for the museum? Maximum capacity of the museum is 500 people which he meets daily.

I(x) = (500 � x) (500 + 5x)

Click here to see answer by nyc_function(2741)

Question 329265: Solve 2x^2-2x-1=0 by any method.
Click here to see answer by solver91311(24713)

Question 329265: Solve 2x^2-2x-1=0 by any method.
Click here to see answer by checkley77(12844)

Question 329277: I saw this problem in my textbook:
A rectangle has a perimeter of 42 miles and an area of 104 square miles. Find the dimensions of the rectangle.
Answer:
The formula for perimeter of a rectangle is,
P = 2*L + 2*W = 42
1.L+W=21
The formula for area of a rectangle is,
A=L*W=104
2.L*W=104
From eq. 1,
L=21-W
Substitute into eq. 2,
(21-W)*W=104
21W-W^2=104
You can factor this quadratic,
(W-13)(W-8)=0
Two solutions:
W-13=0
W=13 Then from above,
L+13=21
L=8
W-8=0
W=8
L=13
The rectangle is 13 miles by 8 miles.
MY BOOK HAS THE ANSWER OF LENGTH: 13 MILES; WIDTH: 8 MILES. MY QUESTION IS: Couldn't the answer also have been length: 8 miles; width: 13 miles?
Click here to see answer by solver91311(24713)

Question 329330: 2x^3-x^2-18x+9=0
Click here to see answer by stanbon(75887)

Question 329416: A carpenter is building a rectangle room with a fixed perimeter of 356 ft. What dimensions would yield the maximum area?
What is the maximum area?
Click here to see answer by Fombitz(32388)

Question 329425: the length of a rectanlge is twice the width. The area is 128yd^2. I know that A=2(L)+2(w). But with this equation wouldn't it be calcutaed differently? given the equation -0.4x^2+11.2x+14 for an event selling tickets. I know that the graph would open downward because of the negative 0.4x. Now it is asking the# if days since the 1st. day of tickets sold, when the sales peaked and how many sold that day. I'm assuming that the quadratic equation should apply here?
Click here to see answer by Alan3354(69443)

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23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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