Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 204074: I am very confused by algebra and need help, can someone help me with this word problem?
A rectangular garden has dimensions of 15f by 11f. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 sq.ft ?
Click here to see answer by jojo14344(1513)  |
Question 204107: Could someone please help me with this proble?
Determine the number of solutions and classify the type of solutions for the following equation and justify the answer.
x^2 + 3x - 15 = 0
my answer is that there are two solutions x = 2.65, -5.65 but I'm not sure how to classify the type of solution and justify it.
Click here to see answer by solver91311(24713)  |
Question 204120: How did they come up with the quadratic formula x=-b+ b^s-4AC/2A? and what is the purpose of imaginary numbers such as -1 and i? I don't have a square root symbol so the negative 1 is to have a sqrt. sympbol and also for the problem for the quadratic formula. Thank you you knowledge is very appreciated!!!!
Click here to see answer by jim_thompson5910(35256) |
Question 203924: Can you help me with this problem?
What type of solution do you get for quadratic equations whete D < 0? Give reasons for the answer and provide an example of such a quadratic equation and find the solution of the equation.
Click here to see answer by feliz1965(151) |
Question 204052: I desperately need help! I don't understand how exactly to do these problems??
1. A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet?
2. A business invests $8,000 in a savings account for two years. At the beginning of the second year, an additional $2,500 is invested. At the end of the second year, the account balance is $11,445. What was the annual interest rate?
3. The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water?
4. Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case.
5. True or false: The function "f(x) = 4x" grows four times faster than the function "g(x) = x". Explain.
6. What are the asymptotes of the functions "f(x) = 4x" and "g(x) = log5x"?
7. A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours?
8. The level of thorium in a sample decreases by a factor of one-half every 2 million years. A meteorite is discovered to have only 8.6% of its original thorium remaining. How old is the meteorite?
Click here to see answer by feliz1965(151) |
Question 204139: I want to know if I should apply the quadratic eqution formula to this problems:
x^2 +3 - 15 =0 and x^2 + x+ 4=0. I' asking so that I'll understand what example to follow in my book , you don't have to work it out. I'm just tired of turnoing in my work with the wrong solutions and answers just because I have need to know what example to follow and where to look. I've had it with being wrong and frustrated about all of this.
Click here to see answer by scott8148(6628)  |
Question 204163: Hi I am confused by this question, it relates to a cork being released from a champagne bottle. The height in meters of the cork above the level ground at time t seconds is modelled into the equaiton. h= 1+8t-5t^2
h stands for height t stands for time.
I answered some eairler questions relating to this but am stuck on this next part.
Substitute h=1.65 into the equation h= 1+8t-5t^2, and rearrange this to the quadratic equation t^2-1.6t+0.13=0
I do not understand the question.
Thank you for your help.
Click here to see answer by Alan3354(69443)  |
Question 204163: Hi I am confused by this question, it relates to a cork being released from a champagne bottle. The height in meters of the cork above the level ground at time t seconds is modelled into the equaiton. h= 1+8t-5t^2
h stands for height t stands for time.
I answered some eairler questions relating to this but am stuck on this next part.
Substitute h=1.65 into the equation h= 1+8t-5t^2, and rearrange this to the quadratic equation t^2-1.6t+0.13=0
I do not understand the question.
Thank you for your help.
Click here to see answer by Theo(13342)  |
Question 203923: Can you help me solve this question?
Determine the number of solutions and classify the type of solutions for each of the following equations. Justify the answers.
a. x^2 + 3x - 15 = 0
b. x^2 + x + 4 = 0
c. sqrt2^2 - 4x - 7 sqrt2 = 0
d. x^2 - 8x + 16 = 0
e. 2x^2 - 3x + 7 = 0
f. x^2 - 4x - 77 =0
g. 3x^2 - 7x + 6 = 0
h. 4x^2 + 16x + 16= 0
Click here to see answer by Alan3354(69443) |
Question 204169: I need help with a problem, could someone please help me. How do create a real life situation that fits into the equation (x+3)(x-5)=0. I know how to solve the equation, but I'm not sure how I can create a real life situation to fit the equation to express the situation as the same equation.
Click here to see answer by stanbon(75887) |
Question 204169: I need help with a problem, could someone please help me. How do create a real life situation that fits into the equation (x+3)(x-5)=0. I know how to solve the equation, but I'm not sure how I can create a real life situation to fit the equation to express the situation as the same equation.
Click here to see answer by RAY100(1637) |
Question 204170: I need help putting this word problem into equation form, can someone help me?
A business invests $8000 in a savings account for 2 years. At the beginning of the second year, an additional $2500 is invested. At the end of the second year, the account balance is $11445. What was the annual interest rate?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 204145: Please help me solve this problem.
A business invests $8,000 in a savings account for two years. At the beginning of the second year, an additional $2,500 is invested. At the end of the second year, the account ballance is $11,445. What is the annual interest rate?
Click here to see answer by Theo(13342) |
Question 204167: One principle used by the ancient
Greeks to get shapes that are pleasing to the eye in art
and architecture was the Golden Rectangle. If a square
is removed from one end of a Golden Rectangle, as shown
in the figure, the sides of the remaining rectangle are
proportional to the original rectangle. So the length
and width of the original rectangle satisfy
L/W = W/L-W
An artist wants her painting to be in the
shape of a golden rectangle. If the length of the painting is
36 inches, then what should be the width?
So far the only thing I have is 36/w = w/36-w. I can't find an example in my book that looks like this equation. I am missing a step somewhere.
Click here to see answer by stanbon(75887) |
Question 204167: One principle used by the ancient
Greeks to get shapes that are pleasing to the eye in art
and architecture was the Golden Rectangle. If a square
is removed from one end of a Golden Rectangle, as shown
in the figure, the sides of the remaining rectangle are
proportional to the original rectangle. So the length
and width of the original rectangle satisfy
L/W = W/L-W
An artist wants her painting to be in the
shape of a golden rectangle. If the length of the painting is
36 inches, then what should be the width?
So far the only thing I have is 36/w = w/36-w. I can't find an example in my book that looks like this equation. I am missing a step somewhere.
Click here to see answer by scott8148(6628) |
Question 204189: 1) The sum of the squares of two consecutive integers is 613. What are the integers?
Let x be one integer. Therefore x +1 is the next integer.
x^2+(x+1)^2= 613
2)The length of a rectangle is four more than the width. If the area of the rectangle is 621 m2, find the width and length of the rectangle.
Let w be the width. Therefore w + 4 is the length.
W(w +4) = 621
Click here to see answer by RAY100(1637) |
Question 204189: 1) The sum of the squares of two consecutive integers is 613. What are the integers?
Let x be one integer. Therefore x +1 is the next integer.
x^2+(x+1)^2= 613
2)The length of a rectangle is four more than the width. If the area of the rectangle is 621 m2, find the width and length of the rectangle.
Let w be the width. Therefore w + 4 is the length.
W(w +4) = 621
Click here to see answer by Theo(13342) |
Question 204190: hi these question are from a worksheet....plzz kindly help
1) A rectangular lawn measuring 8m by 4m is surrounded by a flower bed of uniform width. The combined area of the lawn and flower bed is 165m². What is the width of the flower bed?
Let x be the width of the flowerbed
(8+2x)(4+2x)=165
2) Can x (x – 5) = 0 be solved by dividing both sides of the equation by x?
Explain your answer.
3)Write a quadratic equation whose roots are 5 and –3.
Click here to see answer by Earlsdon(6294) |
Question 204283: Open-Top Box: Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and foldiing up the ssides. If the area of the base is to be 80 square inches, then what size square should be cute from each corner
Click here to see answer by solver91311(24713) |
Question 204338: Form each of the following:
1. a linear equation in one variable
2. a linear equation in two variaables
3. a quadratic equation
4. a polynomial of three terms
5. an exponential function
6. a logarithmic function
Click here to see answer by stanbon(75887) |
Question 204443: hi can you plzz help me with this question...thanks!
The path of a basketball shot can be modeled by the equation h = -0.09d² + 0.9d + 2 where h is the height of the basketball, in metres, and d is the horizontal distance of the ball from the player, in metres.
a) What is the maximum height reached by the ball?
b) What is the horizontal distance of the ball from the player when it reaches its maximum height?
c) How far from the floor is the ball when the player releases it?
Click here to see answer by Earlsdon(6294) |
Question 204501: I would like to know if I did these questions right.
For the first one I have this:
Do exponential functions only model phenomena that grow, or can they also model phenomena that decay?
Explain what is different in the form of the function in each case.
Yes they also model decay, for example you can use them to model the decay of radioactivity. The only difference is that there will be a negative index.
Example of function of growth: y = ae^(kt)
Example of function of decay: y = ae^(-kt)
And for the second one I have:
A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours?
f(t) = 2^(t/4)
after 5 hours: 5 * 60 = 300
f(t) = 2^(300/4)
f(t) = 2^75
f(t) = 3.78(10^22)
Are these correct and if not can you please explain them to me
Click here to see answer by alicealc(293) |
Question 204658: hi, I was hoping you can help me on this:
A rectangular lawn measures 8m by 6m. The owner wants to get a uniform border of trees along two adjacent sides of the lawn. If the tress cover an area of 8m^2, how wide is the border?
Click here to see answer by ichudov(507)  |
Question 204664: Hi, I was hoping you can help me on this:
The perimeter of a professional NBA basketball court is 300 feet. If the length of the court is two feet more than triple the width, find the length and the width of the blocked off court.
Click here to see answer by Earlsdon(6294) |
Question 204660: Can you help me solve this word problem: 1) A house owner wants to build a swimming pool in his backyard. The dimensions of the pool he wants to build is 60m by 40m. If the area of his backyard is only 40m^2, then what is the width of his backyard?
Click here to see answer by Alan3354(69443) |
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