Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> Questions on Algebra: Quadratic Equation answered by real tutors!      Log On

 Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo . Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Question 62534: Hi i would like some help on solving these two simultaneous equations for my homework as i am struggling to solve them please help me as it would be very appreciated the questions are 1. one side of the rectangle is 2cm longer than the other. The perimeter of the rectangle is 24 cm. How long are the sides of the rectangle? 2. A fitness fantastic swims 40 lengths of his pool per day. After 5 years, he has swum 1825 km. How long is his swimming pool in meters? (assume there are 365 days per year) I would be most gratefull if you can help me thank you Click here to see answer by uma(370)

 Question 62566: When solving a quadratic equation you have 0,1,2 solutions. What does this mean "graphically? Click here to see answer by Edwin McCravy(8999)

 Question 62564: solve the equation by making a substituition x-(7*x^.5)+8 =0 Click here to see answer by 303795(595)

 Question 62611: When it say find the x intercepts do I graph it or give the variable for the intercept y=x^2-9x+20 Click here to see answer by funmath(2925)

 Question 62603: The length of a rectangle is 5cm more than 3 times the width. If the area of the rectangle is 92cm^2, find the dimensions of the rectangle to the nearest thousandth. Click here to see answer by checkley71(8403)

 Question 62706: For the function y = x2 - 4x - 5, how do you write the function in the form of y = a(x - h)2 + k? Click here to see answer by stanbon(57967)

 Question 62724: please help me on a sales trip gail drives 6oo miles to richmond averaging one speed. the return trip home i made at the same average speed ten mph slower. total time for the round trip is 22 hours. find gails average speed for each part of the trip. this is what i've done: s=600/(t1) and s-10=600/(t2) (600/t1)-10=600/(t2) (600/t2)-(10*t2)=(600*t1) (600/t2)-(600*t1)-(10*t2)=0 (590*t2)-(600*t1)=0 where do i go from here or am i doing this right at all thank you for your help Click here to see answer by 303795(595)

 Question 62769: can you help? find the vertex and intercepts of the quadratic function f(x)=x^2+x-6. thank you very much Click here to see answer by uma(370)
 Question 62769: can you help? find the vertex and intercepts of the quadratic function f(x)=x^2+x-6. thank you very much Click here to see answer by jai_kos(139)

 Question 62775: need help find all real and complex solutions: x^3+2x^2+3x=0 Click here to see answer by Cintchr(481)

 Question 62776: help please solve the rational inequality (x-2)/(x+3) is less than or equal to 0 is it: (-3,2] (-oo,-3) (-oo,-3)U{2,oo) or [2,oo) i am very confused Click here to see answer by jai_kos(139)

 Question 62777: Could someone please help me with this. I just don't get algebra, but i'm getting better. 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 formula to find the maximum area. Click here to see answer by stanbon(57967)
 Question 62777: Could someone please help me with this. I just don't get algebra, but i'm getting better. 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 formula to find the maximum area. Click here to see answer by jai_kos(139)

 Question 62772: this is very difficult for me, can you help? Let f(x)=5x-6 and g(x)=x^2-8x+16. find the following: 1) (f+g)(x) 2) (g-f)(2) 3) (fg)(5) 4) f/g(x) thanks so much! Click here to see answer by stanbon(57967)

 Question 63071: ```This function y = x² - 4x - 5 has been put into 'standard form' y =(x-2)² - 9. For the function, what would be the equation of the line of symmetry for the graph of this function?``` Click here to see answer by Edwin McCravy(8999)

 Question 63073: I have a quadratic function word problem that I need help with. I need help with the questions about it. This is the word 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." These are the questions. What function are they using in this problem? The ball will be how high above the ground after 1 second? How long will it take to hit the ground? What is the maximum height of the ball? What time will the maximum height be attained? Thank You in advance. Click here to see answer by Edwin McCravy(8999)

 Question 63174: Name the values of the characteristics of the following quadratic equations 2. f(x) = 3(x – 5)^2 + 2 3. g(x) = -4x^2 – 8x – 3 axis of symmetry, vertex Max or Min point Range x-intercepts amplitude Click here to see answer by stanbon(57967)

 Question 63252: Please help me with these answers. Thanks 7. Listed below are the average prices of MyFavoriteStock, Inc. since 2000. Use your calculator to find (a) the Regression Formula (assume it is a linear function: LinReg) and (b) the predicted value in 2020. Years since 2000 1 2 3 4 5 6 Stock Value per share \$8 \$10 \$13 \$11 \$14 \$16 Regression Formula = __________________ 2020 predicted price = __________________ Click here to see answer by uma(370)

 Question 63275: Please help me with this problem, Thanks Use the Completing the square or shortcut Method to find the Standard Form of the following quadratic function. Standard form: f(x)=a(x-h)^2+k 1. f(x)=x^2-2x-5=_______ Click here to see answer by uma(370)

 Question 63251: 6.f(x) = x–3/x+2 6.g(x) = 3x2/x2 + x - 6 x-intercepts y-intercepts Vertical asymptotes Horizontal asymptotes Domain of the function Click here to see answer by stanbon(57967)

 Question 63379: Solve for x by completing the square: kx^2-3cx-4a=0 I have tried but I wonder if there is no solution. Thanks for your time! By the way, this question is not from any textbook. My teacher had it on the board for the class to solve. Click here to see answer by ptaylor(2052)