Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 188888: Hey can you work this out for me please and send me the formula?
X^2 -4x = -3
Thanks
Rich
Click here to see answer by jojo14344(1513)

Question 188821: According to data from the US Census Bureau, the population P of Cleveland, Ohio (in thousands) in year x can be approximated b P(x)=.08x^2-13.08x+927, where x=0 corresponds to 1950. In what calendar year, is the population about 1,000,000?
I have tried setting the equation to 1,000,000 (for example: 1,000,000=.08x^2-13.08x+927), but when I solve it, I come out with some outrageous number for the year... could you please show me the steps as to how I am supposed to set it up? I can preform the math, I am just unsure of the set up.
Click here to see answer by ankor@dixie-net.com(22740)

Question 189008: how would you solve for 8x squared � 12x = 11
Click here to see answer by jim_thompson5910(35256)

Question 188092: what is the 14th term in an arthmetic sequence in which the first term is 100 and the common diffence is -4?
Click here to see answer by Juhi(44)

Question 188725: a rectangular garden has a perimeter of 44m. A walkway 2m wide surrounds the garden. The combined area of the garden and walkway is 224m2. What are the dimensions.
Click here to see answer by jojo14344(1513)

Question 188893: 1b. 8xy / (24x /4)

1d. (3a - 6 / 6a +12) X (3a2 - 12 / a2 - 5a +6)

1c. (x - 7 / 3x2 - 8x +4) / (3x - 24 / 6x2 - 21)

1e. (4x - 6 / 4x + 8) X (6x + 12 / 4x2 - 9)

1f. (a2 - 9a + 14 / 3a - 6) / [(a - 7) (a + 7) / a2 + 4a + 21]

2a. (2x / 3) - (5x / 6) - 3 = (1/2x) - 5

2b. (4m / m-2) - (13 / 3m -6) = (1/5)

2c. (4 / x - 1) = (5 / x2 - x)

2d. (a / x2 - 4) = (2 / a +2)

2e. (x +1 / x2 - 9) = (1 / 3x + 9)

2f. (3x + 2 / 2x - 3 ) = (3x - 2 / 2x - 5)

2h. (4m / m - 2) - (13 / 3m - 6) = (1/3)

2i. (w +1 / w - 3) - (2w - 1 / w2 - 9)

Solve by factorization

3d. 5x2 - 40x = 0

3e. 36x2 - 81 = 0

3f. 4x2 - 16 =0

3h. x2 + 2x = 0

3i. 5x2 - 40x = 0

3j. x2 + x = 0

Click here to see answer by solver91311(24713)

Question 189083: A rocket is launched from Venus with a velocity of 100 ft/sec. The gravity on Venus is 28.8 ft/sec squared. After 3 seconds, how high will the rocket be? (Use the formula y=1/2gt squared + vt + s where g is the gravity, v is velocity and s is initial height). How long does it take the rocket to land? To reach its maximum height? What is the maximum height of the rocket?

2. A punter in the NFL wants his kick to remain in the air for the longest possible time in order that his defense gets as far down the field as possible. This is called "hang time". If the equation f(h)=-4.9t squared + 22t + 2 models the path of the punt, how long does the fottball remain airborne?
Click here to see answer by stanbon(75887)

Question 188904: Length of a Line Segment
14. An architect's drawing shows a pipe running diagonally under a basement floor from a floor drain to a sewer connection. The floor drain is at a point
2 m east and 2 m north of the southeast corner of the basement. The sewer connection is 10 m east 17 m north of the corner. The pipe costs $3.15 per metre, including taxes. How much should the builder budget for pipe for the floor drain?
Thanks and i dont understand how to solve it please help me!!!
Click here to see answer by ankor@dixie-net.com(22740)

Question 189152: I would appreciate it if you can help me this is a Quadratic function question.
I would try to begin but I have no idea on how to start.

1) A ball is thrown upward with an initial velocity of 32 ft./sec from a height of six ft.
The function s(t)=-16t*+32t+6 gives the height of the ball t seconds after release. Determine the time when the ball is at maximum height, and find that height.

2) Jessica can be paid one of two ways for painting a house:
Plan A: $200 plus $12 per hour
Plan B: $20 per hour
Suppose the job takes n hours to complete. For what values of n is Plan A better for Jessica?

3) In a study, it was found that the threshold weight, W, defined as the weight above which the risk of death rises dramatically, is given by
W(h)=( h/12.3) cube
Find the threshold weight for someone 5 ft 7 inches tall.

Thank you for your help!
Click here to see answer by Alan3354(69443)

Question 189151: I would appreciate it if you can help me this is a Quadratic function question.
I would try to begin but I have no idea on how to start.

1) A ball is thrown upward with an initial velocity of 32 ft./sec from a height of six ft.
The function s(t)=-16t*+32t+6 gives the height of the ball t seconds after release. Determine the time when the ball is at maximum height, and find that height.

2) Jessica can be paid one of two ways for painting a house:
Plan A: $200 plus $12 per hour
Plan B: $20 per hour
Suppose the job takes n hours to complete. For what values of n is Plan A better for Jessica?

3) In a study, it was found that the threshold weight, W, defined as the weight above which the risk of death rises dramatically, is given by
W(h)=( h/12.3) cube
Find the threshold weight for someone 5 ft 7 inches tall.

Thank you for your help!
Click here to see answer by feliz1965(151)

Question 189201: I have tried several times to answer these two questions and I can't seem to get it right. Your help would be greatly appreciated!!
1) A triangle has a base of length 2x + 3 and a height of x + 3 and has an area of 27 square units. Find the length of the base and height. (A= 1/2BH)
2) A triangle has a base of length 3x + 1 and a height of x + 6 and has an area of 45 square units. Find the length of base and height. (A= 1/2BH)
Click here to see answer by Alan3354(69443)

Question 189231: I have tried several times to work this problem and cannot seem to get the correct answer. Any help would be great! Thanks!
A rectangular garden has dimensions of 17 feet by 11 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 288 square feet?
Click here to see answer by jonvaliente(64)

Question 189213: a framed picture has length 35 cm and width 25 cm. the picture itself has area 375 sq cm. how far is it from the edge of the picture to the edge of frame if the distance is uniform around the picture?
Click here to see answer by jonvaliente(64)

Question 189266: 5t^2-10x=0
Can you show me exactly how 0 and 2 are possible answers to t.I know they are factors of 10 but I don't know how to set up the problem. Thanks
Click here to see answer by stanbon(75887)

Question 189332: Please help me with this. I don't get the formula. I could guess and probably come up with the right answer but I need to know how to come up with a formula. I tried drawing the diagram but it didn't help me and i don't know where to begin or how to turn it ito a quadratic equation because i think that's what they want. Please be detailed in your answer.
"A rectangle has a perimeter of 100 cm. Find the greatest possible area for the rectangle. (hint: Draw a diagram and label the length and width.)
Click here to see answer by checkley75(3666)

Question 189345: Analytic Geometry
2. For a line segment AB, one endpoint is A(-6, 2) and the other endpoint is B(1, -5). Find the coordinates of the midpoint M.
Thank you very much!!!!
Click here to see answer by stanbon(75887)

Question 189347: Analytic Geometry
5. Determine the equation of the line in standard form:
a) with a slope of -3/2 and passing through the point (5, -1).
Thank you very much!!!
Click here to see answer by checkley75(3666)

Question 189344: use the information s(t)= -16t^2 + v0t + s0
We throw a rock into the air with initial velocity of 50 ft/sec, and initial position of 6 ft. Find how high the rock goes before coming back down. To answer this question, fill in the blanks in the following sentence, where the first blank gives this height, and the second blank gives how many seconds into the flight of the rock it reaches this maximum height.
The rock reaches its highest position of _______ feet above the ground after _______ seconds of flight

Click here to see answer by Alan3354(69443)

Question 189352: Analytic Geometry
7. Find the shortest distance, approximate to the nearest tenth for the following: Please include a final statement
a) from the point P(1, -4) to the line y=2
Thank you very much!!!!
Click here to see answer by Edwin McCravy(20054)

Question 189358: Analytic Geometry
8. c) Given only the three vertices of a triangle. Explain how you would find the coordinate of teh circumcentre of a triangle. Include a diagram to illustrate your answer.
Thank you very much!!!!
Click here to see answer by solver91311(24713)

Question 189400: How do I solve the equation xsquared+6x-2=0 The answers in the back of the book look crazy! How the heck do I solve this?!
Click here to see answer by stanbon(75887)

Question 189415: use a quadratic equation to find two real numbers that satisfy the situation or show that no such numbers exist.
" their sum is 2, and their product is -15"
Click here to see answer by solver91311(24713)

Question 189419: I cant figure this one out. Please help.
Solve the equation x2 + 8x � 2 = 0 using both
a) The quadratic formula
b) Completing the square

Prepare a few sentences comparing and contrasting the two methods
Click here to see answer by Mathtut(3670)

Question 189423: Solve for x: x^2 + 7x + 4 = 0. If the solutions are complex numbers, then give your solutions in the usual a + bi form.
Click here to see answer by josmiceli(19441)

Question 189349: A farmer has 500 feet of fencing to use to make a rectangular garden. One side of the garden will be a barn, which requires no fencing. How should the pen be built in order to enclose the largest amount of area possible?
Give your answer by filling in the blanks in the following sentence: The farmer should build the pen ______ feet away from the barn, and ________ feet wide, for an area of _______ square feet

How do I solve this?
Click here to see answer by ankor@dixie-net.com(22740)

Question 189355: 8. a) Given only the vertices of a triangle, describe the steps you would take to decide whether the triangle is an right-angle triangle.
Thank you very much!!!
Click here to see answer by scott8148(6628)

Question 189532: What is the difference between y=-f(x) and y=f(-x)?
The text gives an explanation on page 580, but I don't know how it would look with an actual equation. I can certainly read that y=-f(x) reflects y=f(x) vertically across the x-axis, and y=f(-x) reflects horizontally across the y-axis.
What I'm having difficulty understanding is, for a quadratic equation ax^2+bx+c, does -f(x) make it -ax^2+bx+c, or does it make it -ax^2-bx-c?
What about f(-x)?
Click here to see answer by feliz1965(151)

Question 189563: trying to solve 4x^2+150x=3000
Click here to see answer by jim_thompson5910(35256)

Question 189595: Graph y is greater than or equal to -2x^2+2x+4.
I got as far as: x=-b/2a-2/2(-2)
I need help, please!

Click here to see answer by ankor@dixie-net.com(22740)

Question 189600: The bases of an arch are 60 feet apart. The arch has a height of 40 feet. Write a quadratic function to approximate the arch.
I worked it out to: y=-2/45(x-30)^2+40
Am I correct?

Click here to see answer by user_dude2008(1862)

Question 189346: Analytic Geometry
3. Determine the radius and the diameter of teh circle with the center at
(-4, 3) and a point (2, -5) on its circumference. Round the radius to the nearest tenth, if necessary.
Thank you very much!!!!
Click here to see answer by feliz1965(151)

Question 189656: Distance from a Point to a Line
4.Find the distance from A(-2,-2) to the line joining B(5,2) and C(-1,4), to the nearest hundredth.
Thanks alot!!!!
Click here to see answer by jim_thompson5910(35256)

Question 189660: Distance from a Point to a Line
9.Find the distance from the point q(-2,-2)to the line y=3.
Can you help me please..
Thank you very much!!
Click here to see answer by user_dude2008(1862)

Question 189659: Distance from a Point to a Line
8.Find the distance from the point P(3,5)to the line x=-2.
thank you!!!
Click here to see answer by user_dude2008(1862)

Question 189634: Equation of a Circle
7. The point (a, 8) lies on the circle defined by x^2+y^2=100.
a) Explain why there are two possible values for a. Find these values.
b) Use a graph to check that the points corresponding to both values for a are on the circle.
Thank you very much!!!!
Click here to see answer by Edwin McCravy(20054)

Question 189657: Distance from a Point to a Line
6.Find the exact distance from the point D(4,-2) to the line segment joining the points E(1,3) and F(-4,-2).

pleaseeee help me ...thank you very much!!
Click here to see answer by Alan3354(69443)

Question 189630: Equation of a Circle
6. Determine an equation for the circle that has a diameter with endpoints
A(-4, 3) and B(4, -3).
Thank you
Click here to see answer by Mathtut(3670)

Question 189635: Equation of a Circle
8. A farmer is building a circular corral to hold livestock. With distance measured in metres, the shape of the corral is modelled by the equation x^2+y^2=64.
a) Find the length of fencing required for this corral.
b) Find the area of the corral.
Thank you very much!!!
Click here to see answer by Mathtut(3670)

Question 189688: Equation of a Circle
6. Determine an equation for the circle that has a diameter with endpoints
A(-4, 3) and B(4, -3).
Thank you!!!!
Click here to see answer by jim_thompson5910(35256)

Question 189663: Distance from a Point to a Line
13.The equation of a circle with centre O(0,0)is x^2+y^2=10.The points P(1,3) and Q(-3,-1)are endpoints of chord PQ.Find the exact distance from the centre of the circle to the chord.
Thank you alot..
Click here to see answer by Edwin McCravy(20054)

Question 189841: Use the quadratic formula to solve 2y^2 - 6y - 8 = 0
Click here to see answer by jim_thompson5910(35256)

Question 189843: Equation of a Circle
11.a) State the radius of the circle given by the equation x^2+y^2=169
Thank you sooooo much!!!!
Click here to see answer by jim_thompson5910(35256)

Question 189849: 3. Find the shortest distance from the point P(-5, 9) to the line 3x-2y=6. Round to the nearest tenth if necessary.
Thank you very much!!!!!
Click here to see answer by solver91311(24713)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240