Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 524747: each point lies on a parabola that has its vertex at (0,1) write the equation of the parabola. Indicate whether the graph opens up or down. (-1,6)
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Question 524804: The area of a paralleogram is given by the forumula a=bh. The area of a parallegogram on the right is equal to 96sq units. Find its base and height.
x+1
3x+1

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Question 524816: The base of a 20 foot ladder is 15 feet from a house. How far up the house does the ladder go? I asked this question already but the answer was not worked with the quadratic formula and i need to know how to solve in quadratic formula
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Question 524816: The base of a 20 foot ladder is 15 feet from a house. How far up the house does the ladder go? I asked this question already but the answer was not worked with the quadratic formula and i need to know how to solve in quadratic formula
Click here to see answer by Maths68(1474) About Me 

Question 524826: You dive from a board that is 32 feet above the water. The formula h=-16t(2)+16t+32 describes your height above water h in feet and t in seconds after you dive
What is the maximum height you reach? In quadratic formula

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Question 524830: solve the formula for the given letter
a^2+q^2=d^2, please solve for a

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Question 524837: Find the distance between (-1,-3) and (2,3)?
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Question 524836: two boats leave san diego at the same time. one boat sails due north and the due west. when they are 10 miles apart, the boat traveling north has sailed 2 miles farther than the boat sailing west.find the distance each boat has traveled.
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Question 525092: 3x(squared)+10x-8
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Question 525092: 3x(squared)+10x-8
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Question 525382: use the quadratic formula to solve the following equation for x in terms of the other variables:
ax^2-1=0

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Question 525598: What two numbers when added equal negative 63, and when the second number is subtracted from the first they equal negative 41.
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Question 525768: x2+16=0
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Question 525873: Give exact and approximate solutions to three decimal places (x+9)^2 = 20?

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Question 525873: Give exact and approximate solutions to three decimal places (x+9)^2 = 20?

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Question 526067: Could someone please explain to me step by step how to complete this problem? I am able to get to the part where you simplify but am not able to get no farther.
During the first part of a trip, a canoeist travels 91 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 hrs. What was the speed on each part of the trip?

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Question 526139: Could someone please explain to me step by step how to complete this problem? I am able to get to the part where you simplify but am not able to get no farther.
During the first part of a trip, a canoeist travels 91 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 hrs. What was the speed on each part of the trip?

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Question 526341: use the following information.
On one of the banks of the Chicago River, there is a water cannon, called the
Water Arc, that sprays recirculated water across the river. The path of the Water
Arc is given by the model
y = º0.006x2 + 1.2x + 10
where x is the distance (in feet) across the river, y is the height of the arc (in feet),
and 10 is the number of feet the cannon is above the river.
What is the maximum height of the water sprayed from the Water Arc?
HELP PLEASE! i'm very stuck on this, and i need to learn it for my test.

Click here to see answer by stanbon(57962) About Me 

Question 526347: Could someone please show me step by step how to Write a quadratic equation in the variable x having the given numbers as solutions. Type the eqyation in standard form, ax^2+bx+c=0. solution -√5,6√5
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Question 526352: 2x^2+5x-1
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Question 526361: 2x^2+5x-1
Find the x-intercepts for the function.
x^2+5/2x=1/2 is where I am at now. I don't know how to get the next step to get the answer.

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Question 526413: p=dollars. r=rate of interest compounded anually. A= accummulated at the end of t years given by the formula. A=p(1+r)^t.
George invested $150.00 at a certian rate of interest compounded anually for two years. If the accumulated value at the end of two years is $175.00, find the rate of interest.

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Question 526467: Problem solving:
Riding a bike. Cesar enjoys riding his bike from Washington, DC to Bethesda, Maryland and back a total of 30 miles on the Capital Crescent path. The trip to Bethesda is uphill most of the distance. The bike's average speed going to Bethesda is 5 mph slower than the average speed returning to DC. If the round trip takes 4.5 hours, find the average speed in each direction.
Please explain and show me the formula you plan to use to solve the problem.
Thanks

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Question 526468: Word problem.
Ships. After a small oil spill, two cleanup ships are sent to siphon off the oil floating in Baffin Bay. The newer ship can clean up the entire spill by itself in 3 hours less time than the older ship takes by itself. Working together the two ships can clean up the oil spill in 8 hours. How long will it take the newer ship by itself to clean up the spill? Please explain how you get the answer. Thanks

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Question 526633: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0. The solutions are -6,4.
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Question 526675: Solve each equation by using the quadratic formula.
-9d-3d^2=5

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Question 526676: Solve each equation by using the quadratic formula.
3a^2-4a=-5

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Question 526676: Solve each equation by using the quadratic formula.
3a^2-4a=-5

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Question 526572: Could someone please show me step by step how to graph the function, find the vertex, line of symmetry, and maximum or minimum value of f(x)=(x+2)^2-3
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Question 526771: In the coordinate plane, the graphs of the equations x^2 + y^2 – 4x + 6y –12 =0 and y = ax^2 + bx + c have exactly 3 points in common.Two of these points are (-3, -3) and (7, -3).What are all possible coordinates of the third point?
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Question 526792: solve the equation 3(^4-x)=81

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Question 526778: example of quadratic equation

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Question 526824: Could someone please show me how to find the vertex, the line of symmetry, the maximum or minimum of the quadratic function, and graph the function,what is the equation of the line of symmetry? f(x)=x^2-12x-5
Click here to see answer by Earlsdon(6294) About Me 

Question 526830: hello I am having a hard time solving this equation, and would appreciate it if you would help me solve this problem:
1 1 1
- + - = -
x x+3 4
I tried to rearrange numbers to eliminate fractions and got
and got 4 = 2x + 3
1 = 2x

1
- = x
2
I am really struggling solving quadratic problems involving fractions. Wondering if you may have any tips or suggestions. Thank you in advance. -Shae

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Question 527342: factor: 10xy-15x-4y+6
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Question 527463: could someone please show me how to find the vertex, line of symmetry, the maximum or minimum value of the quadratic function and graph the function. f(x)=5-x^2
Is the value, f(0)=5 a minimum or maximum?

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Question 527826: i have a test on quadratic equations, and i'm so lost~
Solve the equation algebraically. Check the
solutions graphically.

x^2-11=14

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Question 527930: Can someone please help me with this question, I just need the answer. I haven't been able to figure it out.
A model rocket is launched with an initial upward velocity of 105ft/s. The rockets height h (in feet) after t seconds is given by the following.
h=105t-16t^2
Find all the values of t for which the rocket's height is 34 feet.
Round your answer(s) to the nearest hundredth.

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Question 527982: An equation in standard form is ax^2+bx+c=0
Solve equation by completing the square and leaving all variables as is. What are the steps to solving this question? The answer should be x=-b±sqrtb^2-4ac
______________
2a
Answer in words: x is equal to negative b plus or minus square root of (b^2-4ac) all right side of equation divided by 2a. Show all steps that change ax^2+bx+c=0 into the answer.

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Question 528288: can you help me solve 6(x+2)-4x=48. I don't understand what are like terms in this equation and how to solve them. Thank you
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Question 528406: what is the relationship of the length and width of a rectangle with a perimeter of 100ft
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Question 528491: Could someone please show me how to solve by completing the square? x^2+3/2 x=3
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Question 528072: Could someone please show me how to solve by completing the square? x^2+3/2 x=3
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Question 528767: 6x^2-11x-10=0
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Question 528802: If a rock is dropped from a building 576 ft. high, then its distance in feet from thr ground t seconds later is a function defined by f(t)=-16t^2 +576. How long after it is dropped will it hit the ground?
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