Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 37617: 3) Suppose you throw a baseball straight up at a velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
� 16 represents �g, the gravitational pull due to gravity (measured in feet per second 2).
� v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
� s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
a) What is the function that describes this problem?
Answer:

b) The ball will be how high above the ground after 1 second?
Answer:
Show work in this space.

c) How long will it take to hit the ground?
Answer:
Show work in this space.

d) What is the maximum height of the ball?
Answer:
Show work in this space.
Click here to see answer by venugopalramana(3286)

Question 37614: 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.
Answer:
Click here to see answer by venugopalramana(3286)

Question 37613: I am to solve this problem finding all real or imaginary solutions. I believe I solved it, but I question whether it is correct.
The question is: 6x=19x+25/x+1
My work:
6x(x+1)=6x^2+6x
Then I put it into the equation form of -6x^2-25x+25=0
I used the b^2-4(a)(c) formula which =625-4(-6)(25)
The whole thing turned out to be 625-600=25
Because the outcome is positive, does it not have to have two solutions? I am unsure what the second one is?
Thank you
Click here to see answer by venugopalramana(3286)

Question 37622: i go to a self directed non traditional high school and im having a hard time trying to figure out how to graph a quadratic equasion
Click here to see answer by jessicaherndon(6)

Question 37620: Please help me with these three problems.
Solve each equation by using the quadratic formula. Give exact and approximate answers to the nearest tenth.
1. 5x^-9x=3=0
2. x^=54-3x
Find the equation of the axis of symmetry, the coordinates of the vertex, and the coordinates of the x-intercepts, if they exist, for each parabola.
3. f(x) = 2x6-3x-14
Thank you very much
Click here to see answer by jessicaherndon(6)

Question 37633: I have tried this problem a number of times and i never get the right combination let alone the right numbers. The answers available are: a) -8.2,0.2 b)8.2,-0.2 c)0.3,7.7 d)-7.7,-0.3. The only numbers I get are 0.2, 0.3, and 0.4, which is not one of the numbers. Please help!
Click here to see answer by Nate(3500)

Question 37646: Please help me with this one.
Find the equation of the axis of symmetry, the coordinates of the vertex, and the coordinates of the x-intercepts, if they exist, for each parabola.
1. f(x)=2x^-3x-14
Thanks very much in advance
Click here to see answer by stanbon(75887)

Question 37687: I need your help. Can someone please graph this for me?
Find the vertex and intercepts for each parabola. Sketch the graph.
g(x) = x^2 + x - 6

By completing the square:

Vertex = (-0.5,-6.25). y-intercept = -6
Click here to see answer by Alwayscheerful(414)

Question 37681: Graph each function and state the domain and range.
y = 0.3x
Click here to see answer by Alwayscheerful(414)

Question 37606: I am having a problem with solving for real or imaginary solutions. I need clear and direct steps so I can understand this problem.
x-1/x+2=2x-3/x+4
What I have so far(not so sure it is right),is:
LCD=(x+2)(x+4)
I performed FOIL and got x^2+6x+8
Then I tried to multiply it to each numerator, but got a number with x^3 and so on, which does not seem to work with this type of problem.
Thank you!

Click here to see answer by junior403(76)

Question 37754: Can someone please help me with this? Thank you in advance.
1. True or False:
a.A quadratic equation always has two real roots _True_______?
b.The missing term to complete the square for x^2 + 4x is 16 __True__?
c.The LCD for the expressions 5/6x^2y and 3/4xy^3 is 12x^2y^3 _____ ?

Click here to see answer by stanbon(75887)

Question 37770: Without solving the quadratic equation 5x^2 + 8x + 6 = 0, state whether or not this quadratic equation has real roots. Justify your answer.
Click here to see answer by stanbon(75887)

Question 37758: 2. simplify the following expression by rationalizing the denominator:

5square root of 2 over(/) 4 square root of 3 - the square root of 5
Click here to see answer by junior403(76)

Question 37872: I need help with a homework problem i am having problems with.
The hypotenuse of a right triangle is 2.8 units long. The longer leg is 1.3 units longer than the shorter leg. Find the lengths of the sides of the triangle?
Click here to see answer by fractalier(6550)

Question 37871: I have a problem i need help with, if anyone can help me here. Thanks
The height h (in feet) of an object that is dropped from the height of s feet is given by the formula h = s - 16t^2 ,where t is the time the object has been falling. A 5 foot tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from the 4 story. How long does she have to get out of the way? Round to the nearest tenth.(A story is 12 feet.)

Thanks for any help that anyone can give me here. I beleive the answer is 1.3 seconds but i think i am wrong?
Click here to see answer by fractalier(6550)

Question 37875: the length of a rectangle is 3 feet less than twice the width. If the area is 77 sq feet, then solve a quadratic equation to find the length and width.
Click here to see answer by fractalier(6550)

Question 37765: 4. Find the solution set for the following equation. Check for extraneous solutions:

Square root of 8 - 7x = -2(x + 1)
Click here to see answer by fractalier(6550)

Question 37878: In a right triangle, if the legs are x feet and 3x+3 feet, and the hypotenuse is 25 feet, then solve for x by using the quadratic formula.
Click here to see answer by fractalier(6550)

Question 37970: can some one please help me with this problem??
Solve the quadratic equation.
5t^2=240
Click here to see answer by sonimyke(4)

Question 37968: Solve the quadratic equation by factoring and applying the property "ab=0 if and only if a=0 or b=0"
(x^2)+3kx-(10k^2)=0
Click here to see answer by Earlsdon(6294)

Question 38035: Solve the quadratic equation by factoring and applying the property "ab=0 if and only if a=0 or b=0."
(x^2)+4kx=0.
Click here to see answer by stanbon(75887)

Question 37768: 6. For the quadratic function y = -2x^2 + 8x + 1:
a. What are the coordinates (values of x and y) at the vertex of the parabola
b. Does this parabola open upward or downward? Explain.
Click here to see answer by fractalier(6550)

Question 38203: Solve the quadratic equation by factoring and applying the property "ab=0 if and only if a=0 or b=0"
(x^2)-4x-21=0
Click here to see answer by fractalier(6550)

Question 38209: Solve the radical equation.
6 SQRT of x = x+5
Click here to see answer by fractalier(6550)

Question 38221: Gail is a srever at a restaurant. ON saturday Gail gets up at 6.30.a.m, atrats work at x a.m & finishes at x p.m. How long does Gail work on saturday?
Click here to see answer by fractalier(6550)

Question 38233: Find the nth term formula for the geometric sequence whose first term is 4 and whose common ratio is -3.

Click here to see answer by Nate(3500)

Question 38237: Find the nth term formula for the geometric sequence whose first term is 18 and whose second term is 9.

Click here to see answer by stanbon(75887)

Question 38292: In class, we are learning how to use quadratic techniques to solve polynomial equations. I understand this, but in the homework there is two problems that have negative problems. I could not figure out how to do this. For example, here is one of the problems:
y^(-1)-8y^(-1/2)+12=0
I have tried many ways to do this, but can't figure it out. Thank you so much. I look forward to your replay so that I may understand how to do the other problems.
Click here to see answer by ilana(307)

Question 38318: A golf ball is hit into the air. The path of the ball can be described by the equation h=70t-5t(squared) where h is the height of the ball in meters and t is the time in seconds.
A. how high is the ball after 3 seconds
B. after how many seconds will the ball be 169 meters high
C. when will the ball hit the ground?
~Thanx,
Steve
Click here to see answer by Nate(3500)

Question 38286: Please help me graph and showing the steps to this equation
Click here to see answer by josmiceli(19441)

Question 38351: State the quadratic formula and hence solve x(x+3) = 6x + 2
Please show your working out, and thank you in advance for your help
Click here to see answer by AnlytcPhil(1806)

Question 38389: What is the largest rectangular area that can be enclosed with 30 feet of fencing? I need the dimensions.
Click here to see answer by fractalier(6550)

Question 38358: I just can't get the following problem from my Algebra book:
A rocket is launched from atop a 77-foot cliff with an initial velocity of 82 feet per second. The height of the rocket t seconds after launch is given by the equation h=-16t^2+82t+77. Graph the equation to find out how long after the rocket is launched it will hit the ground. Estimate your answer to the nearest tenth of a second.

Click here to see answer by Nate(3500)

Question 36224: 1) How do you compute the intercepts of a quadratic function?
Click here to see answer by fractalier(6550)

Question 38438: Find x if Xsquared= 2x+5
Click here to see answer by fractalier(6550)

Question 38514:

are my steps right? if not, can you please correct it for me

Click here to see answer by Nate(3500)

Question 38516: i know this is easy but i dont get it, how to do when there are fraction
Click here to see answer by Nate(3500)

Question 38560: I need your help to solve this problem and also what are the steps to solve this problem.
The length of a hypotenuse of a right triangle is 2 feet more than the longer leg. The length of the longer leg is 7 feet more than the lenth of the shorter leg. Find the number of feet in length of each side of the right triangle.

Click here to see answer by fractalier(6550)

Question 38062: I need to find the common denominator in this formula:

6/4x squared times 2/5x
Click here to see answer by rapaljer(4671)

Question 38608: Solve the equation:
(w - 4)^2 = 2w^2 - 6w + 1 solve for w
Click here to see answer by lyra(94)

Question 38607: Solve the equation to find all possible values of y:
2y^2 + 8y + 1 = (y + 3)^2
Click here to see answer by lyra(94)

Question 38606: Solve to find all the roots of the following equation:
4w^2 = -2w + 6
Click here to see answer by checkley71(8403)

Question 38605: Find the roots of the quadratic equation:
z^2 + 5z - 14 = 0
Click here to see answer by checkley71(8403)

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