Tutors Answer Your Questions about Quadratic Equations (FREE)
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(958)   |
Question 50571: when attempting to solve the following equation, i have run into a roadblock. I am unaware of what to do with the variable "t" in order to solve this equation for "y". any help would be wonderful.
The equation is as follows
solve for "y"
-3y^2+6yt+5=0
thanks a million
Click here to see answer by stanbon(26259) |
Question 50760This question is from textbook 
: This is a word problem that I am stuck on. I have a rectangular garden with dimensions of 30' by 40'. The total garden area is 1800 ft^2. I am trying to figure the constant width of the surrounding walkway. I came up with area = (40-2x)*(30-2x)=1800, 800-80x-60x+4x^2=1800 please help, thanks This question is from textbook
Click here to see answer by stanbon(26259) |
Question 50797This question is from textbook
: I need some help in finding the x -intercepts of y= x^2-x-3. I am using b sqrt -b^2-4ac/2a but am messing up somewhere if anyone can assist.This question is from textbook
Click here to see answer by Earlsdon(4898) |
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(8405) |
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(4898) |
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(26259) |
Question 51308This question is from textbook
: 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.This question is from textbook
Click here to see answer by rapaljer(3620) |
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(3620) |
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(3495) |
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