# Questions on Algebra: Quadratic Equation answered by real tutors!

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## Tutors Answer Your Questions about Quadratic Equations (FREE)

 Question 162130: You have an item that you bought but you lost the sales receipt. There are no price stickers on the item but you remember you gave the clerk \$40 and received x in change. Given that the sales tax rate in the state is 6.65%, how would you go about figuring the cost of the item itself? You may have more than one unknown but create a formula for this relationship. If you returned the item to a store in another state with a different tax rate, what would the tax rate need to be for you to get back more money that you paid out? Click here to see answer by ankor@dixie-net.com(15649)

 Question 162181: For these types of problems: complete the square for each expression. Write the resulting expression as a binomial squared. x^2-22x+____ what I did was: x^2-22x+121 is it right just like that or do I still need to do more to answer the directions? please help soon! Click here to see answer by jim_thompson5910(28579)

 Question 162179: I have to write each function in vertex form, and identity it's vertex. g(x)=x^2-1/2x+1 could you please guide me on the step by step process on how to work this. please help soon! thx :) Click here to see answer by jim_thompson5910(28579)
 Question 162179: I have to write each function in vertex form, and identity it's vertex. g(x)=x^2-1/2x+1 could you please guide me on the step by step process on how to work this. please help soon! thx :) Click here to see answer by Earlsdon(6287)

 Question 162100: i am asked to solve using the square root property (x+6)^2 = 121 Click here to see answer by checkley77(12569)

 Question 162099: i am asked to solve using the quadratic formula x^2-2x=5x-2 Click here to see answer by checkley77(12569)

 Question 162177: I asked before : Nathan made a triangular pennant for the band booster club. The are of the pennant is 80 square feet. The base of the pennant is 12 feet shorter than the height. a) what are the lengths of the base and height of the pennant? b)what are the dimensions of the pennant if the base is only 6 feet shorter that the height? (I really do not understand this problem at all; do we use 1/2(b)(h) please help soon! and Checkly77 kindly answered my question. AREA OF A TRIANGLE=BH/2 (H-12)H/2=80 (H^2-12H)/2=80 H^2-12H=2*80 H^2-12H=160 H^2-12H-160=0 (H-20)(H+8)=0 H-20=0 H=20 IS THE HEIGHT. 20-12=8 FOR THE BASE. PROOF: 8*20/2=80 160/2=80 80=80 but I am not sure of the b part I don't know if the dimensions are the same or what? could somebody just please help me with the b part. thank you very much Click here to see answer by vleith(2825)
 Question 162177: I asked before : Nathan made a triangular pennant for the band booster club. The are of the pennant is 80 square feet. The base of the pennant is 12 feet shorter than the height. a) what are the lengths of the base and height of the pennant? b)what are the dimensions of the pennant if the base is only 6 feet shorter that the height? (I really do not understand this problem at all; do we use 1/2(b)(h) please help soon! and Checkly77 kindly answered my question. AREA OF A TRIANGLE=BH/2 (H-12)H/2=80 (H^2-12H)/2=80 H^2-12H=2*80 H^2-12H=160 H^2-12H-160=0 (H-20)(H+8)=0 H-20=0 H=20 IS THE HEIGHT. 20-12=8 FOR THE BASE. PROOF: 8*20/2=80 160/2=80 80=80 but I am not sure of the b part I don't know if the dimensions are the same or what? could somebody just please help me with the b part. thank you very much Click here to see answer by checkley77(12569)

 Question 162143: This question is from Algebra II, by Bob Jones University. It is in the chapter titled, "Quadratic Equations and Inequalities. In the lesson we were to "solve for x." I have the answer and I have tried many times to work the problem backwards, but I am missing something. Can you please explain this problem to me? 5x^3-39x^2+27x+7=0 x= -1/5,7,1 Click here to see answer by edjones(7569)

 Question 162269: I need to complete the square: 2d^2=8+10d Click here to see answer by Alan3354(30993)

 Question 162368: Write an equation for a line that passes through the following points: (-7, 9), (8, 9) I dont really know how to do this, and i would really apperciate seeing the steps that explain how to do this problem. THank you in advance! Click here to see answer by josmiceli(9671)
 Question 162368: Write an equation for a line that passes through the following points: (-7, 9), (8, 9) I dont really know how to do this, and i would really apperciate seeing the steps that explain how to do this problem. THank you in advance! Click here to see answer by gonzo(654)

 Question 162534: The length of a standard jewel case is 2cm more than it's width . The are of the rectangular top of the case is 168 cm squared . Find the length and width of the jewel case. Click here to see answer by checkley77(12569)

 Question 162540: this quadratic equation needs to be factored please help. a parallelagram x+1=a and 2x+1= b what is the base and height if the area is 45sq. units please show work Click here to see answer by checkley77(12569)

 Question 162658: The flower garden has the shape of a right triangle. 20ft of a perennial border forms the hypotenuse of the triangle, and one leg is 4ft longer than the other leg.Find the lengths of the legs. Click here to see answer by josmiceli(9671)

 Question 162673: the problem is 3x^+x-5 I need to find the x intercept and the vertex . I am not sure how to set up the equation or what numbers go where. HELP PLEASE Click here to see answer by vleith(2825)

 Question 162530: A parallelagram x+1=a and 2x+1 = b area = 45 square units find its base and hight and check answers show all work Please help?? Click here to see answer by elima(1433)

 Question 162720: This is the problem I was given. Can anyone help explain the solution to me - please. A square picture frame contains a picture with a mat border. The border is 3 inches thick on the sides and 4 inches thick on the top and bottom. If the area exposed within the mat border is 528 square inches, what are the dimensions of the original frame? x^2-14x-480 = 0 Click here to see answer by vleith(2825)

 Question 162776: The length of a rectangle is twice the width. The area is 18yd^2. Find the length and width. Click here to see answer by Anthea Lawn(22)

 Question 162789: Can I please get help with: (12)/(3x-2)+(5)/(x+4)=1 Thanks you. Click here to see answer by edjones(7569)

 Question 162782: A mode rocket is launched with an initial velocity of 200ft/s. The height (h), in feet, of the rocket (t) seconds after the launch is given by h = -16t^2 +200t. How many seconds after the launch will the rocket be 300 ft above the ground? Round to the nearest hundredth of a second. So far I have it set up as such but no sure if its correct. 200t-300= -16t^2 + 200t - 200t help appreciated. Click here to see answer by Earlsdon(6287)
 Question 162782: A mode rocket is launched with an initial velocity of 200ft/s. The height (h), in feet, of the rocket (t) seconds after the launch is given by h = -16t^2 +200t. How many seconds after the launch will the rocket be 300 ft above the ground? Round to the nearest hundredth of a second. So far I have it set up as such but no sure if its correct. 200t-300= -16t^2 + 200t - 200t help appreciated. Click here to see answer by gonzo(654)

 Question 162857: x^2=2x-5 Should I layout this problem as: x^2-2x-5=0 if so I followed through with the quadratic formula then from there I got x = 2+24/2 = 26/2 = 13 and x = 2-24/2= -22/2= -11 so my solutions would be 13 and -11. Please any help looking over would be appreciated. Click here to see answer by orca(409)
 Question 162857: x^2=2x-5 Should I layout this problem as: x^2-2x-5=0 if so I followed through with the quadratic formula then from there I got x = 2+24/2 = 26/2 = 13 and x = 2-24/2= -22/2= -11 so my solutions would be 13 and -11. Please any help looking over would be appreciated. Click here to see answer by joecbaseball(37)

 Question 162905: Solve: x = 2+ sqrt2-x I have: (x-2)^2 = (sqrt2 - x)^2 x^2 - 4x + 4 = 2 - 1x x^2 - 3x + 2 = 0 (x-1) (x -2)answer Please let me know what you think? correct or no. Click here to see answer by nerdybill(6958)

 Question 162945: I am having a really hard time with this problem! Please show me how it should be solved! Thank you in advance! If the path of a frog's jump is approximated by the equation y = -0.25x^2 + 5x, what is the height of the frog's jump? Click here to see answer by Earlsdon(6287)

 Question 162984: how doyou solve a quadratic equation Click here to see answer by Earlsdon(6287)

 Question 163119: I am trying to rearrange the following equation to solve for INR. I recognize the equation as a type of quadratic, but get confused about the reciprocals. Thank you for your help. CFX = 0.99 + (52.5/INR) + (52/INR^2) Click here to see answer by scott8148(6628)

 Question 163260: y= (x+1) squared - 3 Click here to see answer by checkley77(12569)

 Question 163261: 2x squared + 10x = -3 and x squared + 10x - 7 = 0 Click here to see answer by stanbon(57307)

 Question 163347: Tracey 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 folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut from each corner? Click here to see answer by checkley77(12569)

 Question 163348: 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? Click here to see answer by Fombitz(13828)

 Question 163367: This is more of a question than math problem, but here goes anyway, If I have a quadratic equation (y = x^2 – 2x – 8)) that graphs to a parabola with a minimum value at the vertex (1, -9), how would you find the maximum value for the equation? Thanks for any help. Click here to see answer by gonzo(654)

 Question 163389: an archer shoots an arrow into the air such that its height at any time, t, is given by the function h(t)= -16t.squared+ kt+ 3. If the maximum height of the arrow occurs at time t=4, what is the value of k? Click here to see answer by ankor@dixie-net.com(15649)

 Question 163478: is xy+7x-3y-14=0 a quadratic equation? Click here to see answer by Fombitz(13828)

 Question 163496: 1+x-6x squared Click here to see answer by checkley77(12569)

 Question 163611: A rectanglar plot of ground measeures 18 ft by 15 ft. A path is to be constructed within the plot so that a 108 square foot garden can be planted with the path surrounding it. Find the width of the path. Click here to see answer by checkley77(12569)

 Question 163607: Find the answers to a, b,c for for the quadratic function y= -x^2 + 6x -5 a) Find the co-ordinates of the vertex of the parabola b) Find the equation of the axis of symmetry c) Find the maximum or minimum value Here is what I have - I must say my concern is the - (negative) in front of the -x^2. a) x = - b/2a = - 6/2(-1) = 3 and y = (-3^2) + 6(3) - 5 = -9 +18 - 5 = 4 b) ? is this x = 3 c) x | y ------- 0 -5 1 0 2 3 3 4 4 3 5 0 6 -5 Based on this maximum is 4 Thanks for your help. Click here to see answer by Earlsdon(6287)
 Question 163607: Find the answers to a, b,c for for the quadratic function y= -x^2 + 6x -5 a) Find the co-ordinates of the vertex of the parabola b) Find the equation of the axis of symmetry c) Find the maximum or minimum value Here is what I have - I must say my concern is the - (negative) in front of the -x^2. a) x = - b/2a = - 6/2(-1) = 3 and y = (-3^2) + 6(3) - 5 = -9 +18 - 5 = 4 b) ? is this x = 3 c) x | y ------- 0 -5 1 0 2 3 3 4 4 3 5 0 6 -5 Based on this maximum is 4 Thanks for your help. Click here to see answer by Fombitz(13828)
 Question 163607: Find the answers to a, b,c for for the quadratic function y= -x^2 + 6x -5 a) Find the co-ordinates of the vertex of the parabola b) Find the equation of the axis of symmetry c) Find the maximum or minimum value Here is what I have - I must say my concern is the - (negative) in front of the -x^2. a) x = - b/2a = - 6/2(-1) = 3 and y = (-3^2) + 6(3) - 5 = -9 +18 - 5 = 4 b) ? is this x = 3 c) x | y ------- 0 -5 1 0 2 3 3 4 4 3 5 0 6 -5 Based on this maximum is 4 Thanks for your help. Click here to see answer by gonzo(654)

 Question 163680: Please help me with this: Write an equation for a function that has the shape of y=x^3. But is shifted right 4 units and up one unit. Your website says the following when I put in my question: "Maximum number of questions per day is 6. This question is number 4. This limitation is so that all people get a chance to ask questions. This is a free site after all. You are supposed todo at least part of your homework." I'm just comparing answers that I already have because sometimes the answers I received have been wrong, I'm not abusing this system, I have made donations. Thank you. Click here to see answer by jim_thompson5910(28579)

 Question 163753: I have this problem and I want to know if I did it correct? 4-x/x-2=-2/x-2, this is how I worked I tried to work the problem out, the -2&-2 cancel each other out and then it left 4-x/x=x-2, then add +2 to both sides 4+2=6 and x-2+2 cancels out each other x=6. Is this the correct answer or can it be answered? But I have a couple of other problems that I need help with.1/4=3-2x-1 over x+2, x3/2=125 and x+20-x=0 Click here to see answer by jim_thompson5910(28579)

 Question 163809: Hi- I have a hard time understanding what to do for this problem. Here it is: Find a quadratic equation that has (3+2i) as a root. I know the answer is x²-6x+13=0, but how is found, what do you do, etc? Click here to see answer by NotGoodAtAlgebra(1)

 Question 163922: (2√7-4√3)(4√+8√3) =?? Click here to see answer by stanbon(57307)

 Question 163992: Adding and subtracting radicals. Simplify the sums and differences. sqrt 5 - 3 sqrt 5 = -2 sqrt 5 Is there anymore I can do with this? Thanks Click here to see answer by stanbon(57307)

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