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Question 1080721: A company that manufactures mountain bikes makes a daily profit p according to the equation p=-200^2+8800x-94,062, where p is measured in dollars and x is the number of mountain bikes made per day. Find the number of mountain bikes that must be made each day to produce a zero profit for the company.
Click here to see answer by Boreal(15235)

Question 1080744: A roofer tosses a piece of roofing tile from a roof onto the ground 30 feet below. He tosses the tile with an initial downward velocity of 10 feet per second.
Write an equation to find how long it takes the tile to hit the ground. Use the model for vertical motion, H=-16t^2+vt+h, where H is the height of an object after t seconds, v is the initial velocity, and h is the initial height. (hint: Since the object is thrown down, the initial velocity is negative.)
Click here to see answer by Alan3354(69443)

Question 1080927: The rectangle below has an area of x2−15x+56x^2-15x+56x
2
−15x+56x, start superscript, 2, end superscript, minus, 15, x, plus, 56 square meters and a length of x−7x-7x−7x, minus, 7 meters.
What expression represents the width of the rectangle?
Click here to see answer by ikleyn(52776)

Question 1081198: If one zero of polynomial p(x) =ax sq -3(a-1)x-1,then find the value of a.

Click here to see answer by Fombitz(32388)

Question 1081227: For the quadratic relations y=x�+5x-7 an y=ax�+(a+4)x+9.
a)Determine the values(s) of a, where there is no points of intersection between the quadratic relations.
B)Determine the values(s) of a, where there is one point of intersection between the quadratic relations
C)Determine the values(s) of a, where there is 2 points of intersection between the quadratic relations
Click here to see answer by htmentor(1343)

Question 1081448: (2x-3)(x+1)=1
Click here to see answer by Fombitz(32388)

Question 1081504: A rectangle is four times as long as it is wide and it's perimeter is 63 inches longer than its width. Find the area.
Click here to see answer by Alan3354(69443)

Question 1081504: A rectangle is four times as long as it is wide and it's perimeter is 63 inches longer than its width. Find the area.
Click here to see answer by josgarithmetic(39616)

Question 1081566: Assume a and b are nonzero rational numbers and c and d are irrational numbers. For each of the following expressions, determine whether the result is irrational, rational, or both. Justify your answers.
Part A: ac + d
Part B: four b square root of three end square root plus c
Part C: b2(c + d)
Click here to see answer by Fombitz(32388)

Question 1081637: I need to solve the following equation via the factoring method, but I don't know where to start. If that information is provided, I will be capable of solving the rest by hand. Thank you.
6x^2+2x-4=0
Once more, thank you one thousand times over.
Click here to see answer by addingup(3677)

Question 1081694: 4=9k^2
Click here to see answer by Fombitz(32388)

Question 1081790: The equation has two equal roots. What is the value of k?
Click here to see answer by Alan3354(69443)

Question 1081794: A garden has dimensions 2x+3 ft by x+6 ft. If the garden is 95 ft^2, then what are the dimensions. Solve by factoring

Click here to see answer by MathLover1(20849)

Question 1081811: A garden has dimensions 2x+3 ft by x+6 ft. If the garden is 95 ft^2, then what are the dimensions. Solve by factoring
Click here to see answer by josgarithmetic(39616)

Question 1081818: Line of symmetry for y=5x^2+4x-2
Click here to see answer by stanbon(75887)

Question 1081884: Which expressions represent the perimeter of the square shown? Select all that apply.
illustrate multiplying area of binomials.
12x+14 units
24x+28 units
36x2+49 units
6x+7+6x+7
4(6x+7)

Click here to see answer by Fombitz(32388)

Question 1081886: Which expressions represent the perimeter of the square shown? Select all that apply.
illustrate multiplying area of binomials.
12x+14 units
24x+28 units
36x2+49 units
6x+7+6x+7
4(6x+7)

Click here to see answer by Fombitz(32388)

Question 1081917: Find the value of k if (x-1) is a factor of k^2x^2-2kx-3.

Click here to see answer by ikleyn(52776)

Question 1081916: Find the value of k if (x-1) is a factor of k^2x^2-2kx-3.

Click here to see answer by Boreal(15235)

Question 1082076: What will the axis of symmetry of y=(x+2)^2 -4k
Click here to see answer by Alan3354(69443)

Question 1082119: Which of the following expressions is equal to -3x^2-27
A ) (-3x-3i)(x-9i)
B ) (-3x-9i)(x+3i)
C ) (-3x+3i)(x+9i)
D ) (-3X+9i)(x+3i)
i know i have to factor (i think) to solve it but i'm having trouble when it comes to getting the final form ( cant think of the right term)
Click here to see answer by Boreal(15235)

Question 1082300: The function f(x)=2x^2+12x+32 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

Click here to see answer by ikleyn(52776)

Question 1082453: the function f (x) = -0.002x^2 +0.66x models the path of a softball that is hit for a homerun, where f(x) given the height of the ball and x gives the distance from where it was hit in feet.
How far does the ball travel before hitting the ground?
How high does the ball go?
Click here to see answer by solver91311(24713)

Question 1082579: 1. Re�write this quadratic equation from vertex form into standard form: y = (x � 4)^2 � 16
2. Which of the following represents the factored form of y=x^2+6x+8
3. What are the roots for the function given by x^2-4x-12?
4. Write an equation of a quadratic function given the vertex and another point on the graph.
Vertex: (�5, �10)
Point: (0, 15)
5. Write an equation of a quadratic function given the vertex and another point on the graph.
Vertex: (�3 ,�6)
Point: (0, �15)

Click here to see answer by ikleyn(52776)

Question 1082695: The function f(x)=-2x^2+12x+32 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?
Click here to see answer by Alan3354(69443)

Question 1082778: The base of a triangel exceeds the height by 9 inches. If the area is 180 squares inches,find the length of the base and height of the triangle
Click here to see answer by Boreal(15235)

Question 1082825: The sum of a natural number and it's reciprocal is 65/8.Find the numbers
Click here to see answer by josgarithmetic(39616)

Question 1082825: The sum of a natural number and it's reciprocal is 65/8.Find the numbers
Click here to see answer by Edwin McCravy(20054)

Question 1082846: Write an equation of a quadratic function given the vertex and another point on the graph.
Vertex: (�3 ,�6)
Point: (0, �15)
Click here to see answer by Edwin McCravy(20054)

Question 1082846: Write an equation of a quadratic function given the vertex and another point on the graph.
Vertex: (�3 ,�6)
Point: (0, �15)
Click here to see answer by MathTherapy(10551)

Question 1082848: Re�write this quadratic equation from vertex form into standard form:
y = (x � 4)2 � 16
Click here to see answer by josgarithmetic(39616)

Question 1082845: Write an equation of a quadratic function given the vertex and another point on the graph.
Vertex: (�5, �10)
Point: (0, 15)
Click here to see answer by josgarithmetic(39616)

Question 1082845: Write an equation of a quadratic function given the vertex and another point on the graph.
Vertex: (�5, �10)
Point: (0, 15)
Click here to see answer by MathTherapy(10551)

Question 1082883: Factorize (5x+12y) (6a+b)-(5x+12y) (a-4b)
Click here to see answer by Alan3354(69443)

Question 1082883: Factorize (5x+12y) (6a+b)-(5x+12y) (a-4b)
Click here to see answer by MathLover1(20849)

Question 1082890: The length of a square with side x cm is increased by 3cm. If the area of the new square is 121 cm^2, what is X?
This problem was asked for me to solve it by completing the square but I'm completely stuck And don't know how to start to solve the problem.
Click here to see answer by josgarithmetic(39616)

Question 1083061: 5x^2-3x-7=0
Use the quadratic formula to solve the equation.
Click here to see answer by Alan3354(69443)

Question 1083059: Solve using the square root method
(5x-3)^2+ 9 =0
Click here to see answer by MathLover1(20849)

Question 1083059: Solve using the square root method
(5x-3)^2+ 9 =0
Click here to see answer by solver91311(24713)

Question 1083058: X^2+13x+39=0
Click here to see answer by Alan3354(69443)

Question 1083058: X^2+13x+39=0
Click here to see answer by addingup(3677)

Question 1083121: As a publicity stunt, a late night talk show host drops a pumpkin from a rooftop that is 200 feet high. When will the pumpkin hit the ground, the nearest hundredth of a second?
Click here to see answer by Alan3354(69443)

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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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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