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Question 1112277: The area of the rectangle exceeds the area of the square by 24m^2 .find x
Click here to see answer by ikleyn(52780)

Question 1110791: Suppose John Buys a chocolate and an ice cream. How much, in terms of x, does he pay for them?
Click here to see answer by rbm0831@gmail.com(1)

Question 1112745: Write the quadratic equation whose roots are
4
and
−5
, and whose leading coefficient is
3

Click here to see answer by josgarithmetic(39617)

Question 1112768: 2 landscape workers can complete a certain job in a total of 20 hours. Working alone, one can do this same job in 2 hours less time than it takes the other worker. How long would it take the faster worker to do the job if the slower worker is unable to work?
Click here to see answer by josgarithmetic(39617)

Question 1112769: A dog owner has 250 feet of fencing to enclose a rectangular run area for his dogs. If he wants the maximum possible area, what should the length and width of the rectangle be?
Click here to see answer by ikleyn(52780)

Question 1112770: find the particular quadratic equation in standard form, of the parabola with vertex at (2,-5) and passing through (3,1). You know the third point because of symmetry. What are the x and y intercepts?
Click here to see answer by josgarithmetic(39617)

Question 1112773: Pete Zarilla sells 10-inch pizzas for $4.30, 12 inch pizzas for 5.88, and 14 inch pizzas for 7.78. Assume that the price is a quadratic function of the diameter.
a) Write the particular equation expressing price in terms of diameter.
b)predict the price of a 5 inch pizza.
c) If a pizza sells for $20, what would you expect the diameter to be?
d) what is the significance of the fact that the price- intercept is greater than zero? Suggest what it might represent.

Click here to see answer by Boreal(15235)

Question 1112886: A rectangular building lot is 8 m longer than it is wide and has an area of 2900 m^2. What are the dimensions of the lot?
Click here to see answer by Alan3354(69443)

Question 1112906: A rectangular handball court is to be surrounded by plastic stripping that is 30 m long. One side of the court (lengthwise) does not need the stripping because it is a brick wall. What must be the dimensions of the court in order to obtain a maximum area? What is the maximum area?
Click here to see answer by ikleyn(52780)

Question 1112893: The length of a rectangular field is 2 m greater than three times its width. The area of the field is 1496 m^2. What are the dimensions of the field?
Click here to see answer by ikleyn(52780)

Question 1112899: Use the vertex
(h, k) (-4,-1)
and a point on the graph
(x, y) (-6,3)
to find the general form of the equation of the quadratic function.

Click here to see answer by ikleyn(52780)

Question 1112889: bob tosses his basketball onto the ground from his tree house he tosses the basketball with an initial downward velocity of 8 feet per second. the equation h = -16t^2-8t+20 represents the height h of the basketball aster t seconds. how long does the basketball take to hit the ground?
Click here to see answer by Alan3354(69443)

Question 1112988: the quadratic function y=-x(2)+4 to solve the equation -x(2) +4=0
Click here to see answer by ikleyn(52780)

Question 1113068: A ball is thrown vertically upwards from the top of a school building. It�s height, h metres, above the ground, can be modelled by h=18+6t-4t^2, where t is the time in seconds after it leaves the top of the building.
i) how tall is the school building?
ii) at what time will the ball strike the ground?
Click here to see answer by ikleyn(52780)

Question 1113066: A rectangular field has dimensions 70m long and 50m wide. The field has a x m border around it which is a rectangular concrete path. The area of the path which is shaded is 1024m^2.
Click here to see answer by ikleyn(52780)

Question 1113069: factorise:
6(2x-3)^2-5(2x-3)-4
Click here to see answer by ikleyn(52780)

Question 1113067: The coin is in shape of a circle of radius 3cm with a square of sides x cm removed from its centre. The area of each face of the coin in 7πcm^2.
i) form an equation in x and show that it reduces to 2π-x^2=0.
ii) solve the equation 2π-x^2=0.
iii) find the perimeter of the square.
Click here to see answer by Theo(13342)

Question 1113073: The coin is in the shape of a circle of radius 3 cm with a square of sides x cm removed from its centre. The area of each face of the coin is 7pi cm^2.
i) form an equation in x and show that it reduces to 2pi-x^2=0.
ii) solve the equation 2pi-x^2=0.
iii) find the perimeter of the square
Click here to see answer by ankor@dixie-net.com(22740)

Question 1113237: The vertex of a parabola is (-2, -20), and its y-intercept is (0, -12).
The equation of the parabola is y = __x^2+__x+__

Click here to see answer by Edwin McCravy(20054)

Question 1113316: How do we change this into vertex form �x-2x+7
Click here to see answer by Fombitz(32388)

Question 1113418: Please help!
A car travels 304 mi. A second car, traveling 9 mph faster than the first car, makes the same trip in 1 h less time. Find the speed of each car.
First Car?
Second Car?
Click here to see answer by ikleyn(52780)

Question 1113465: Rationalize the denominator. Assume that all variables represent positive numbers.
(^4V5y^7)/^4V4x
Click here to see answer by Alan3354(69443)

Question 1113464: Rationalize the numerator. Assume that all expressions under radicals represent positive numbers.
V2x/3y
Click here to see answer by Alan3354(69443)

Question 1113463: Rationalize the numerator. Assume that all expressions under radicals represent positive numbers.
3V7a^7/3b
Click here to see answer by Alan3354(69443)

Question 1113466: (Vp^3-q^3)/Vp-q
Click here to see answer by Alan3354(69443)

Question 480369: Find two consecutive positive integers such that the sum of their squares is 61.
Click here to see answer by amalm06(224)

Question 1113540: How do I determine the ratio of the roots of the equations Kx^(2)-x+1=0 x^(2)-x+k=0 ?
Click here to see answer by Boreal(15235)

Question 1113711: Find the slope-intercept form of the line which passes through the points P(-1,0) and Q(-4,6).
Click here to see answer by rothauserc(4718)

Question 1113711: Find the slope-intercept form of the line which passes through the points P(-1,0) and Q(-4,6).
Click here to see answer by Boreal(15235)

Question 1113710: Let f(x) = √x . Find a formula for a function g whose graph is obtained from f by the given sequence of transformations.
(1) shift left 3 units
(2) vertical stretch by a factor of 2
(3) reflect across the x-axis

Click here to see answer by ikleyn(52780)

Question 1113709: Suppose (1, -2) is on the graph of y = f(x). Find a point on the graph of the transformed function y = f(x + 5).
Click here to see answer by ikleyn(52780)

Question 1113752: find the constant a,b, and c such that x�-7x+9=a(x-b)�+c
Click here to see answer by josgarithmetic(39617)

Question 1113872: Solve f(x)=ax2+bx+c, where a=14,b=−25 and c=−7. There are two fixed points at x1 and x2, where x1>x2. How to get the value of x1 ? In two decimal places.
Click here to see answer by ikleyn(52780)

Question 840522: An object is projected vertically upward from the top of a building with an initial velocity of 96 ft/sec. Its distance s(t) in feet above the ground after t seconds is given by the equation
s(t) = −16t2 + 96t + 120.
(a) Find its maximum distance above the ground.
s(t) = ft
(b) Find the height of the building.
Click here to see answer by amalm06(224)

Question 1114131: High definition television (HDTV) gives consumers a wider viewing area, more like a film screen in a theater. A regular television with a 18-inch diagonal measurement has a screen 10.8 in. tall. An HDTV screen with the same 10.8-inch height would have a diagonal measuring 22 in. How many inches wider is the HDTV screen? Round to the nearest hundredth.
Please Help!
Click here to see answer by josgarithmetic(39617)

Question 1114166: f(x)= -4(x+(1/4))^2(x+4)^3
Type the power function that the graph of f resembles for large values of StartAbsoluteValue x EndAbsoluteValue.

Click here to see answer by stanbon(75887)

Question 1114193: Find the quadratic equation that fits the following set of data points.
(−2,−8),(−4,−12),(1,13)
f(x)=______.
(Use integers or fractions for any numbers in the expression. Do not factor.)
Click here to see answer by Theo(13342)

Question 1114283: The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=−0.5x2+11x+15, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?
Ticket sales will peak_____days after the concert was first announced. How many tickets will be sold on that day? _____
Click here to see answer by ikleyn(52780)

Question 1114288: Find a quadratic function that fits the set of data points.(0,−3), (2,1), (4,1)
f(x)=____?
Click here to see answer by josgarithmetic(39617)

Question 1114286: If a firm invests amount P0(0 is subscript) at an interest rate of r%, then a year later invests amount P1(1 is subscript) at the same rate, then the total amount at the end of two years is given by the formula A=P0(1+r)squared +P1(1+r).(The 0 and 1 after the Ps are subscript) A firm invests $3000, then a year later invests an additional $1700. At the end of two years, it has a total of $5173. What is the interest rate?
The interest rate is r=______%. (Round to the nearest integer.) Thank you so much!
Click here to see answer by Theo(13342)

Question 1114373: If 4x�+5kx+10 is a perfect square, find the value of k.
Click here to see answer by stanbon(75887)

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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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