Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 51373: I know this is the right answer but what are the steps that gets me there?
The length of a rectangle is 1 cm more than 4 times its width. If the area of the rectangle is 74 cm^2, find the dimensions of the rectangle to the nearest thousandth.
4w^2+w-74=0
w=4.178 & -4.428
Click here to see answer by checkley71(8403)  |
Question 51408:
2) For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space
b) What is the equation for the line of symmetry for the graph of this function?
Answer:
c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x h)2 + k.
Show graph here.
Explanation of graphing.
d) In your own words, describe how this graph compares to the graph of y = x2?
Answer:
Click here to see answer by venugopalramana(3286) |
Question 51407: 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?
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? What time will the maximum height be attained?
Answer:
Show work in this space.
4) 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.
Answer:
Show work in this space.
Click here to see answer by THANApHD(104)  |
Question 51778: 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 represent 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.
3 Questions:
1)What is the function that describes this problem?
2)The ball will be how high above the ground after 1 second?
3)How long will it take to hit the ground?
Click here to see answer by Nate(3500) |
Question 51782: 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 represent 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.
Question:
What is the maximum height of the ball? What time will the maximum height be attained?
Click here to see answer by Nate(3500) |
Question 51780: 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 josmiceli(19441)  |
Question 51949: 1) Is sqrt(x^2=x)an identity (true for all values of x)?
Explain.
2)
x -2 -1 0 1 2
y .25 .5 1 2 4
Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.
Graph
Graph Type
Explanation
Domain
Range
Click here to see answer by Nate(3500) |
Question 52392: Help! I am a mother trying to help my son from failing Algebra!
Writing Equations: write in slope intercept form from the equation of the line described..
m = 3 , b = 2
m = 1, b = -1
m = 0, b = 6
Click here to see answer by Nate(3500) |
Question 52434: 6) A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides measurements are 3 feet and 4 feet.
Answer:
Show work in this space
Click here to see answer by funmath(2933) |
Question 52431: Using the quadratic equation x2 - 4x - 5 = 0, perform the following tasks:
a) Solve by factoring.
Answer:
Show work in this space.
b) Solve by completing the square.
Answer:
Show work in this space.
c) Solve by using the quadratic formula.
Answer:
Show work in this space
Click here to see answer by funmath(2933) |
Question 52433: 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.
Answer:
Show work in this space.
Click here to see answer by checkley71(8403) |
Question 52432: For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space
b) What is the equation for the line of symmetry for the graph of this function?
Answer:
c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x h)2 + k.
Show graph here.
Explanation of graphing.
d) In your own words, describe how this graph compares to the graph of y = x2?
Answer:
Click here to see answer by vanetiks(6) |
Question 52429: 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?
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? What time will the maximum height be attained?
Answer:
Show work in this space.
Click here to see answer by vanetiks(6) |
Question 52505: An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Answer
b) Graph this function and show the graph over the valid range of the variable x..
Show Graph here
c) Using the graph, what is the value of x that will produce the maximum volume?
Answer
Click here to see answer by Earlsdon(6294) |
Question 52543: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively.
Answer:
Show work in this space.
Click here to see answer by checkley71(8403) |
Question 52672: I need help with the dimensions of a strip of flooring around a rug.
Catarina and Jose want to buy a rug for a room that is 15 feet by 20 feet. They want to leave an even strip of flooring uncovered around the edges of the room. how wide a strip will they have if they buy a rug with an area of 234 square feet?
Click here to see answer by AnlytcPhil(1806)  |
Question 53229: 2) For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space
b) What is the equation for the line of symmetry for the graph of this function?
Answer:
c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x h)2 + k.
Show graph here.
Explanation of graphing.
d) In your own words, describe how this graph compares to the graph of y = x2?
Answer:
Thank You
Click here to see answer by funmath(2933) |
Question 53231: 4) 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.
Answer:
Show work in this space.
Thank You
Click here to see answer by funmath(2933) |
Question 53230: 3) 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?
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? What time will the maximum height be attained?
Answer:
Show work in this space.
Thank You
Click here to see answer by funmath(2933) |
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