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 Question 122237: Algebraically determine the EXACT roots in simplest form for (5/x-3)=(x/x+1) Click here to see answer by algebrapro18(206)

 Question 122238: A baseball player hits a ball into the air. The ball's height above the ground, in metres, t seconds after being hit, is approximated by h(t)=1+13t-5t^2. Algebraically determine the time when the ball first reaches a height of 9 m. Click here to see answer by algebrapro18(206)

 Question 122239: A skier decides to jump a ramp. The path of the jump can be represented by the quadratic relationship h(t)=-6t^2+12t+1 where h represents the height above the ground in metres,and t represents time after leaving the ramp in seconds. Algebraically determine the maximum height reached by the jumper and the time at which this maximum height occurs. Click here to see answer by algebrapro18(206)

 Question 122241: Algebraically determine the EXACT roots in simplest form for 2x=-3x^2+4 Click here to see answer by algebrapro18(206)

 Question 122407: Solve by factoring. x squared - 9x - 4 = 6 4x squared - 8x + 3 = 5 Click here to see answer by stanbon(57246)

 Question 122470: What value of c makes x^2 +5x+c a perfect square. I know the answer is 25/4 but I'm not confident with these type of questions,can someone please explain? Click here to see answer by Fombitz(13828)

 Question 122472: What is the y-intercept of the function,y=3(2)(^x)+4 ? Click here to see answer by Fombitz(13828)

 Question 122509: Do you think you could help me find these limits? Really appreciate your help, in advance. Thank you so much! X + 1 lim = x→ -1 x^ – 1 -------------------------------- lim 3 = x→ 0 --------------------------------------- ( x lim = x→0 ( 2 Click here to see answer by Edwin McCravy(8882)

 Question 122462: A rectangular rug 4m by 2m is placed in a room with floor area 24m^2 such that a strip of bare floor of uniform width surrounds the rug. Set up a function which models this situation and use it to algebraically determine the width of the strip of bare floor. Click here to see answer by ankor@dixie-net.com(15638)

 Question 122529: Is this continuous at x = 1 ? I do not understand this. Why would this or why would it not be continuous at x = 1 ? Thank you in advance for your expert knowledge and assistance. {2x if x ≤ 1} F (x) = {x2 + 1 if x > 1} Click here to see answer by oscargut(891)

 Question 122518: Dear Edwin, thank you so much. I reentered the problem, hope this is better. Thanks again. lim (x/2 + 3) = x→0 Click here to see answer by oscargut(891)

 Question 122533: Could you please help me find the f’(x) for the f(x) I believe this is the derivative. f(x) = 6/X4 , f’(x) = f(x) = x3 – 2x2 + 3x – 4 , f’(x) = f(x) = 2 x – 3x 5/3 , f’(x) = Thank you so much for your help! Click here to see answer by Fombitz(13828)

 Question 122464: A skier decides to jump a ramp. The path of the jump can be represented by the quadratic relationship h(t)=-6t^2+12t+1 where h represents the height above the ground in metres, and t represents time after leaving the ramp in seconds. Algebraically determine the maximum height reached by the jumper and the time at which this maximum height occurs. Click here to see answer by ankor@dixie-net.com(15638)

 Question 122467: A solution has a concentration of 10 milligrams of salt per cubic centimetre. Water is slowly added such that the concentration of salt is reduced by 20% every two hours. Determine the equation that models the concentration of salt in terms of time and use it to find the concentration after 7 hours. Click here to see answer by ankor@dixie-net.com(15638)

 Question 122584: If anyone could help me with the following 2 problems I would appreciate it. Thank You Principal of zero v^2+5v-14=0 ----------------------------------------------- The polynomial 0.041h-0.018a-2.69 can be used to estimate the lung capacity in liters of a female with a height in centimeters and age in years. Find the lung capacity of a 60 year old woman who is 170cm tall. Her lung capacity is approximately _______ liters. Click here to see answer by stanbon(57246)

 Question 122661: Using the form of x^2=k for an equation. Is the solution always going to be real numbers? Click here to see answer by jim_thompson5910(28504)

 Question 122663: If the value of b^2-4ac is negative, the equation ax^2+bx+c=0. Is there always a real number solution? Click here to see answer by jim_thompson5910(28504)

 Question 122670: A rectangular field is 200m by 300m. A roadway of width xm is to be built just inside the field. What is the widest the roadway can be and still leave 50,000m^2 in the region? 60,000 - 400x - 600x +x = 50,000 Am I on the right track for solving the problem with this formula? I feel like I'm missing something. Click here to see answer by jim_thompson5910(28504)

 Question 122675: A small manufacturers weekly profit in dollars is given by p=-3x^2+270x. Find the number of items that must be produced to realize a profit of \$5775. 5775 = -3x^2+270x -3x^2+270x-5775 =0 3(x^2-90x+1925)=0 3(x-35)(x-55)=0 (x-35)(x-55)=0 I came up with the answer of x=35,55 but the question is asking for the number of items so I need some help. Thanks in advance. Click here to see answer by jim_thompson5910(28504)

 Question 122671: My economic class is quite challenging. Here is a question regarding the CPI. I(t) = - 0.2t2 + 3t = 200 , t = 0 and corresponds to the year of 1995 where as 0 ≤ t & ≤ 5 What would the CPI by at in 1996? What’s the rate of change from 1995 – 96? How’s the index changing in 1998? Any help in answering these questions on the CPI would be greatly appreciated. Thank you so much in advance! Click here to see answer by stanbon(57246)

 Question 122621: find an equation with coefficients whose roots are 2 plus and minus the square root of 3 divided by 3 Click here to see answer by ankor@dixie-net.com(15638)

 Question 122758: Solve. (x+7)squared = 13 x squared - 4x = 12 Click here to see answer by checkley71(8403)

 Question 122777: -14x = -2x^2 + 36 also, in the radical symbol, since the set-up shows b^2 - 4ac would that make the 4 negative there? thank you so much! Click here to see answer by checkley71(8403)

 Question 122779: The sum of the lengths of one side of a right triangle and the hypotenuse is 20cm. The other leg is 5cm shorter than the hypotenuse. Find the length of each side. x^2+(x-5)^2=20^2 x^2+x^2-25x+25=400 2x^2-25x-375=0 x^2-5x-178.50=0 I just want to double check my steps to make sure I did this right. Thanks is advance. Click here to see answer by GSems22(3)
 Question 122779: The sum of the lengths of one side of a right triangle and the hypotenuse is 20cm. The other leg is 5cm shorter than the hypotenuse. Find the length of each side. x^2+(x-5)^2=20^2 x^2+x^2-25x+25=400 2x^2-25x-375=0 x^2-5x-178.50=0 I just want to double check my steps to make sure I did this right. Thanks is advance. Click here to see answer by bucky(2189)

 Question 122820: If the square of 3 more than a number is 9, find the numbers? Click here to see answer by bucky(2189)

 Question 122822: Hello, I have an algebra 2 question relating to application of the Quadratic formula. The problem is: 2y+3/4y-1=3y-2/3y+2 I have no idea how to do that using the quadratic formula. I appreciate your assistance and thank you in advance. Click here to see answer by jim_thompson5910(28504)
 Question 122822: Hello, I have an algebra 2 question relating to application of the Quadratic formula. The problem is: 2y+3/4y-1=3y-2/3y+2 I have no idea how to do that using the quadratic formula. I appreciate your assistance and thank you in advance. Click here to see answer by MathLover1(6623)

 Question 122834: please can you show me a method of how to work out this equation x^2+9x+14=0 Click here to see answer by jim_thompson5910(28504)
 Question 122834: please can you show me a method of how to work out this equation x^2+9x+14=0 Click here to see answer by Earlsdon(6287)

 Question 122858: Hello, I have a question relating to the application of the quadratic formula on the following problem: (d-12)=(d) - 2 The (d-12) and (d) are under a radical, but the -2 is not. I tried this a few ways, but cannot get the answer 16 from the back of the book. I really appreciate your assistance on this and thank you in advance. Click here to see answer by Earlsdon(6287)

 Question 122875: Solve. The equation h = -16t squared + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft. Click here to see answer by jim_thompson5910(28504)

 Question 122787: A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft^2, what is the width of the path? I do not have the ISBN number - the book is Beginning Algebra (6th ed.) chapter 10. Click here to see answer by ankor@dixie-net.com(15638)

 Question 123263: A rectangular parking lot has dimensions 16 metres by 40 metres. The total area of the parking lot is increased by 512 square metres by paving an extra strip of uniform width around the entire lot. How wide is the strip? Click here to see answer by solver91311(16868)

 Question 123264: A rectangular lawn has dimensions 30 metres by 40 metres. A strip of uniform width is to be mowed around the perimeter.How wide should the strip be so that exactly half of the lawn gets mowed ? Click here to see answer by checkley71(8403)

 Question 123275: 1. Please solve the following by factoring: a) x^2- 6x - 16 = 0 b) 6x^2 + 42x = 0 2. If f(t) = 2t^2 - 4t - 1, find a) f(2) b) f(-1) Please help, I need step by step instructions. Click here to see answer by stanbon(57246)

 Question 123260: A 4 by 6 inch photograph is to be matted such that the area of the mat is double the area of the photo. Assuming that the mat is the same width all around the picture, what is the width of the mat ? Click here to see answer by checkley71(8403)

 Question 123291: A rectangular field had a length of x^3 + 2x^2 – 4 feet and a width of 4x^2 – 5 feet. Express the area as a polynomial in x. Click here to see answer by stanbon(57246)

 Question 123257: Hank travels home to Smithville every weekend from Ottawa.The distance each way is 800km. Anxious to return home, he decides to increase his speed by 20km/h and realizes that he arrives home two hours earlier than the time it took him to travel from home to Ottawa. How long does the trip to Ottawa usually take? Click here to see answer by rajagopalan(158)

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