Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 50343: I am trying to identify the axis of symmetry and creating an x and y table for the graph. My numbers are wrong because it doesn't resemble a parabola... y=x^2-5x+3 and y=-x^2+6x-2. I am kinda stuck if you can assit please.
Click here to see answer by stanbon(75887)  |
Question 50472: factor the following:
1)x squared + 6x + one
2)x squared + 8x + 2
3)x squared - 8 - 5
4)x squared + 12 x + twenty-one
5)x squared + 3 x + 3/2[-1/2, 2]
6)x squared - 2 x + 1/2
7)x to the power of four + 16y
8)4x to the power of four + y to the power of four
9)16x to the power of four z + 4z to the power of five
10)10xz to the power of four + 40x
Click here to see answer by AnlytcPhil(1806)  |
Question 50406: i do not know how to write the equasion on the keyboard could you please help me and explain it to me in lamens terms.....99990 Larson and Hostetler Elementary and intermediate Algebra fourth edition pg.627 #29 I have tried to figure this out i have done it over and over and can not figure it out so could you please help me
Click here to see answer by mszlmb(115)  |
Question 50316: I am totally lost on this problem, can someone figure it out showing me the steps please?
A garden is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft^2, what is the width of the path?
Click here to see answer by checkley71(8403) |
Question 50828: Can someone help me out with this problem?
The length of a rectangle is 1cm longer than its width. If the diagonal of the rectangle is 4cm, what are the dimensions (the length and the width)of the rectangle? Round the the nearest thousandth.
Click here to see answer by Cintchr(481) |
Question 51189: I am having a hard time understanding how to solve this problem.
John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his 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.
Show clearly the algebraic steps which prove your dimensions are the maximum area which can be obtained. Use the vertex form to find the maximum area.
Click here to see answer by checkley71(8403) |
Question 51213: I really need some help with this one.
The height h in feet of an object after t seconds is given by the function
h= 16t^2 + 70t + 8
HOw long will it take the object to hit the ground? Round your answers to the nearest thousandth.
Click here to see answer by THANApHD(104)  |
Question 51271: I am confused on how to solve this problem.
Suppose a baseball is shot up from the ground straight up with an initial 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 1/2g, the gravitational pull due to gravity (measured in feet per second2).
• 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.
What is the maximum height of the ball? What time will the maximum height be attained?
I wasn't sure how to do this. I want to say 32 feet. But I'm not sure.
Click here to see answer by Earlsdon(6294) |
Question 51276: I am unsure if I am doing this problem right.
Suppose a baseball is shot up from the ground straight up with an initial 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 1/2g, the gravitational pull due to gravity (measured in feet per second2).
• 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.
What is the maximum height of the ball? What time will the maximum height be attained?
Click here to see answer by stanbon(75887) |
Question 51308: I am using the quadratic formula on 3x^2 = 11x + 4; 3x^2 - 11x + 4 = 0; 3x^2 - 11x - 4 = -2; I have to convert the 5.5 to a fraction, but I am confused. The answer is 1/3,-4 or the other way around (I think). I need an assist please.
Click here to see answer by rapaljer(4671)  |
Question 51306: John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his 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.
Show clearly the algebraic steps which prove your dimensions are the maximum area which can be obtained. Use the vertex form to find the maximum area.
Click here to see answer by venugopalramana(3286) |
Question 51299: 2)For the function y = x2 - 4x - 5
a)Put the function in the form y = a(x - h)2 + k.
b)What is the equation for the line of symmetry for the graph of this function?
c)Graph the function using the equation in part a. Why it is not necessary to plot points to graph when using y = a (x – h)2 + k.
d)Describe how this graph compares to the graph of y = x2?
Click here to see answer by venugopalramana(3286) |
Question 51310: When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative.
Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx + c.
Click here to see answer by rapaljer(4671) |
Question 51305: Suppose a baseball is shot up from the ground straight up with an initial 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 1/2g, the gravitational pull due to gravity (measured in feet per second2).
• 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?
Click here to see answer by Nate(3500) |
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