Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 280482: a square and rectangle have the same area. the length of the rectangle is 8 less than twice the side of the square. the width of the rectangle is 3 less than the side of the square. let x represent the length of the side of the square. a)write expressions for the dimensions of the rectangle. b) write an equation that represents the situation. c) find the dimension of the square and rectangle.
Click here to see answer by richwmiller(17219)   |
Question 280482: a square and rectangle have the same area. the length of the rectangle is 8 less than twice the side of the square. the width of the rectangle is 3 less than the side of the square. let x represent the length of the side of the square. a)write expressions for the dimensions of the rectangle. b) write an equation that represents the situation. c) find the dimension of the square and rectangle.
Click here to see answer by mananth(16946)  |
Question 280748: A car is traveling on a road that is perpendicular to a railroad track. When the car is30 meters from the crossing, the cars new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing?
Click here to see answer by richwmiller(17219) |
Question 280766: While finding the amount of seed needed
to plant his three square wheat fields, Hank observed that
the side of one field was 1 kilometer longer than the side
of the smallest field and that the side of the largest field
was 3 kilometers longer than the side of the smallest field.
If the total area of the three fields is 38 square kilometers,
then what is the area of each field?
Click here to see answer by richwmiller(17219) |
Question 280766: While finding the amount of seed needed
to plant his three square wheat fields, Hank observed that
the side of one field was 1 kilometer longer than the side
of the smallest field and that the side of the largest field
was 3 kilometers longer than the side of the smallest field.
If the total area of the three fields is 38 square kilometers,
then what is the area of each field?
Click here to see answer by oberobic(2304) |
Question 280791: Construction. The base of a 15-ft ladder is 5-ft away from a wall. How far above the floor is the top of the ladder?
I set up using the formula of 
Am I correct in this set up? I am also having issues solving it, Thank you very much for your help!
Click here to see answer by jim_thompson5910(35256) |
Question 280795: Business and Finance.
A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).
The demand equation for a certain type of printer is given by:
D= -200p + 35,000
The supply equation is predicted to be:
A). Does the graph of the supply equation open up or down? How did you determine this?
B). What is the point of the vertex of the supply equation?
C). How many solutions are there to the supply equation? How do you know?
D). Find the equilibrium price (Hint: The equilibrium price is the price for which supply equals demand).
Click here to see answer by stanbon(75887) |
Question 280963: I have been trying to figure out these equations all weekend and am having a problem trying to not only solve these problems, but also the correct way to do them. I would appreciate any and all help in order to complete this assignment for the university. It says there are 6 steps involved in the proper formatting of these questions involving moving the constant term to the right side of the equation, multiplying each term by 4 times the coefficient of the x squared term, squaring the coefficient of the original x term, taking the square root of both sides, and then setting the left side of the equation equal to the positive square root of the number on the right side and then setting the left side of the equation equal to the negative square root of the number on the right side. I am completely lost and am hoping that if I give you the four problems, that you may be able to show me how each one is completed. Thank you very much.
(1) xsquared-2x-13=0
(2) 4xsquared-4x+3=0
(3) xsquared+12x-64=0
(4) 2xsquared-3x-5=0
Click here to see answer by stanbon(75887) |
Question 280963: I have been trying to figure out these equations all weekend and am having a problem trying to not only solve these problems, but also the correct way to do them. I would appreciate any and all help in order to complete this assignment for the university. It says there are 6 steps involved in the proper formatting of these questions involving moving the constant term to the right side of the equation, multiplying each term by 4 times the coefficient of the x squared term, squaring the coefficient of the original x term, taking the square root of both sides, and then setting the left side of the equation equal to the positive square root of the number on the right side and then setting the left side of the equation equal to the negative square root of the number on the right side. I am completely lost and am hoping that if I give you the four problems, that you may be able to show me how each one is completed. Thank you very much.
(1) xsquared-2x-13=0
(2) 4xsquared-4x+3=0
(3) xsquared+12x-64=0
(4) 2xsquared-3x-5=0
Click here to see answer by richwmiller(17219) |
Question 280963: I have been trying to figure out these equations all weekend and am having a problem trying to not only solve these problems, but also the correct way to do them. I would appreciate any and all help in order to complete this assignment for the university. It says there are 6 steps involved in the proper formatting of these questions involving moving the constant term to the right side of the equation, multiplying each term by 4 times the coefficient of the x squared term, squaring the coefficient of the original x term, taking the square root of both sides, and then setting the left side of the equation equal to the positive square root of the number on the right side and then setting the left side of the equation equal to the negative square root of the number on the right side. I am completely lost and am hoping that if I give you the four problems, that you may be able to show me how each one is completed. Thank you very much.
(1) xsquared-2x-13=0
(2) 4xsquared-4x+3=0
(3) xsquared+12x-64=0
(4) 2xsquared-3x-5=0
Click here to see answer by Theo(13342)  |
Question 280987: to make a box top by cutting equal squares from the 4 corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides,if the area of the base is to be 80 sq inches then what size sq should be cut from each corner.
Click here to see answer by checkley77(12844) |
Question 281319: The problem given in the book is:
1.) For certain species of insect, a model of the number of larvae, N(T), that survive during this period is given by
N(T)= -0.6T^2 + 32.1T - 350
[T is the temperature in degrees celsius]
a.) At what temperature will the maximum number of larvae survive? Round to the nearest degree. [I understand that this involves a parabola, however, the graph given by my calculator states "error" each time I attempt to "plug in" the problem.]
b.) What is the maximum number of surviving larvae? Round to the nearest whole number
c.) find the x-intercepts, to the nearest whole number, for the graph of this function. [I assume this means making a "T-chart," though the function on my calculator can't work if I am unable to properly insert the equation in my calculator.]
d.) Write a sentence that describes the meaning of the x-intercepts in the context of this problem.
[I've also reached the assumption that this correlates with the idea of inputs and outputs. So with each x-intercept input, the y-intercept output will correspond according to the parabola.]
Click here to see answer by nerdybill(7384)  |
Question 281548: a stone is thrown vertically upwards at a speed of 24 m/s. its height h meters after t seconds is given approximately by the formula h=24t-5t squared. Use this formula to find when the stone is 27 meters up, and explain the double answer.
Click here to see answer by Alan3354(69443)  |
Question 281587: I need help with a word problem please? Here is the problem. The fromula s= 16t^2 is used to approximate the distance s, in feet, that an object falls freely (from rest) in t seconds. Use thid formula to solve the problem. ( Round to the nearest tenth. A man drops his keys off a building 1420 ft. high. How long does it take the keys, falling freely, to hit the ground?
Click here to see answer by Alan3354(69443) |
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