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Question 1077333: Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find more than one pair, then list your pairs in order by increasing x value, separated by commas.
Click here to see answer by MathLover1(20849)

Question 1077327: For what real number k does the product (25 + ki)(3+2i) equal a real number?
Click here to see answer by josmiceli(19441)

Question 1077367: Part of a cheerleading routine is throwing a flyer straight up and catching her on the way down. The flyer begins this move with her center of gravity 4 feet above the ground. She is thrown with an initial vertical velocity of 30 feet per second.
1.) Will the flyer�s center of gravity ever reach 20 feet? In two or more complete sentences, explain how you found your answer.
2.) For the flyer to have her center of gravity reach 25 feet, what does the initial velocity need to be? In two or more complete sentences, explain how you found your answer.
Click here to see answer by Alan3354(69443)

Question 1077362: A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.
Is the ball at its maximum height after 1 second? In two or more complete sentences, explain how you know whether or not the ball is at its maximum height.
Click here to see answer by Boreal(15235)

Question 1077332: For what real values of c is 9x^2 + 16x + c the square of a binomial? You many find more than one.
Click here to see answer by MathLover1(20849)

Question 1077404: A woman bought a number of items for $24. She realized that if she had bought 3 more items for the same money, she would have paid $4 less per item. How many items did she buy?
Click here to see answer by josmiceli(19441)

Question 1077426: An object is launched at 17.2 m/s from a 25-meter tall platform. The equation for the object's height h at time t seconds after launch is: h(t) = -4.9t^2 + 17.2t +25, where h is in meters.
a. Graph this equation.
b. When does the object strike the ground?
Click here to see answer by ikleyn(52778)

Question 1077423: A positive real number is 6 less than another. If the sum of the squares of the two numbers is 6 find the numbers.
Click here to see answer by ikleyn(52778)

Question 1077363: A football is punted from a height of 2.5 feet above the ground with an initial vertical velocity of 45 feet per second.
1.) Write an equation to model the height h in feet of the ball t seconds after it has been punted.
2.) The football is caught at 5.5 feet above the ground. How long was the football in the air?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1077361: A football is kicked at 40 yards away from a goal post that is 10 feet high. Its path is modeled by y = -0.03x^2 + 1.6x, where x is the horizontal distance in yards traveled by the football and y is the corresponding height above the ground in feet.
Does the football go over the goal post? How far above or below the goal post is the football? Use two or more complete sentences to explain your answers. (Hint: The unit conversion is built into the given function.)
Click here to see answer by ankor@dixie-net.com(22740)

Question 1077431: Arturo flies a plane against a headwind for 4543 miles. The return trip with the wind took 18 hours less time. If the wind speed is 9 mph, how fast does Arturo fly the plane when there is no wind?
Click here to see answer by josgarithmetic(39617)

Question 1077427: The function f(t) = 50(1.07)^t models the growth of a fly population, where f(t) is the number of flies and t is time in days. After three weeks, approximately how many flies are in the population? Show your solution.
Click here to see answer by Boreal(15235)

Question 1077433: The area of a rectangle is 84 square inches. If the length is 3 times the width then find the dimensions of the rectangle. Round answer to nearest hundredth.
Click here to see answer by josgarithmetic(39617)

Question 1077432: Santos flies a plane against a headwind for 3933 miles. The return trip with the wind took 12 hours less time. If the wind speed is 6 mph, how fast does Santos fly the plane when there is no wind?
Click here to see answer by josgarithmetic(39617)

Question 1077480: An object is thrown upward from the top of a 6464-foot building with an initial velocity of 4848 feet per second. The height h of the object after t seconds is given by the quadratic equation h=−16t^2+48t+64. When will the object hit the ground?
Click here to see answer by Alan3354(69443)

Question 1077490: The sum of a number and its square is 42. What are the numbers?
Click here to see answer by ikleyn(52778)

Question 1077492: One positive number is 5 more than a second number, and their product is 150
. Find the two numbers.
Click here to see answer by Boreal(15235)

Question 1077501: if f(x) varies directly with x^2, and f(x)=80 when x=4 find the value of f(7)
Click here to see answer by josmiceli(19441)

Question 1077493: The sum of two numbers is 33 and their product is 270. Find the two numbers.
Click here to see answer by MathLover1(20849)

Question 1077510: Simplify square root of 5/3
Click here to see answer by math_helper(2461)

Question 1077563: I have a question regarding to the difference between
(X-1)^2 and (1-X)^2 I get them confusing everytime. Please explain their differences thank you!
Click here to see answer by MathLover1(20849)

Question 1077585: The distance a person falls on a bungee chord in metres, h may be modelled with time, t in seconds according to:
h=2(t-5)^2-50
What is the greatest distance a person will reach on the bungee chord from their starting position?
Click here to see answer by MathLover1(20849)

Question 1077531: If the sides of a square measure 8 square root of 6 feet. Find the length of the diagonal.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1077628: If one of the quadratic equation px^+15x-14=0 is 2/3 find the value of p and other root
Click here to see answer by amfagge92(93)

Question 1077628: If one of the quadratic equation px^+15x-14=0 is 2/3 find the value of p and other root
Click here to see answer by josgarithmetic(39617)

Question 1077627: If one of the quadratic equation px^+15-14=0 is 2/3 find the value of p and other root
Click here to see answer by amfagge92(93)

Question 1077627: If one of the quadratic equation px^+15-14=0 is 2/3 find the value of p and other root
Click here to see answer by MathTherapy(10551)

Question 1077665: A volleyball is thrown straight up. The equation that describes its motion is h(t) = -16t^2 + 48t + 4, where h represents the height in feet and t represents time in seconds. How long will it take for the ball to hit the ground? Round to the nearest hundredth, if necessary.
Click here to see answer by Boreal(15235)

Question 1077668: For a design competition, Maggie dropped a device from the bleachers. The equation for the device's height in feet h after t second is h=-16t^2+20. Compare the graph of this function with its parent graph.
Click here to see answer by ikleyn(52778)

Question 1077693: How do I identify the horizontal intercept as an ordered pair for this quadratic function?
f(x)= 2x^2+4x-3
Click here to see answer by josgarithmetic(39617)

Question 1077765: determine whether the given quadratic function has a minimum or maximum value. then find the coordinates of the minimum or maximum point. f(x)= 4x^2-12x
Click here to see answer by Boreal(15235)

Question 1077768: The area of a square can be tripled by increasing its length by 6 centimeters and increasing its width by 3 centimeters. What is the length of the side of the square?
Click here to see answer by josgarithmetic(39617)

Question 1077870: Write the quadratic equation whose roots are
−4
and
1
, and whose leading coefficient is
2
.
(Use the letter
x
to represent the variable.)
Click here to see answer by MathLover1(20849)

Question 1077890: Write the quadratic equation whose roots are
3
and
−2
, and whose leading coefficient is
4
.
(Use the letter
x
to represent the variable.)
Click here to see answer by ikleyn(52778)

Question 1077913: write the equation of the parabola that has the same shape as f(x)=7x^2 but vertex (-8,1) in the form f(x)=a(x-h)^2+k.
Click here to see answer by josgarithmetic(39617)

Question 1077902: Find three consecutive integers such that the square of the first plus the product of the other two is 46
Click here to see answer by josgarithmetic(39617)

Question 1077926: The Lush Landscaping Company is involved in a project for the city. They are expanding the garden in front of the city hall by planting a border of flowers around it. The current dimensions of the garden are 24 feet long by 16 feet wide. The border will have the same width around the entire garden. The flowers planted in the border will fill an area of 276 square feet.
#1.How can you find the area of the existing garden
#2.What are the variables in this situation?
#3.How can you represent the dimensions of the larger garden algebraically?
#4.How can you find the area of just the border?
#5.How does the area of 276 feet relate to this situation and your equation?
#6.Find the border area as a function of the border width x?
Click here to see answer by jorel1380(3719)

Question 1077954: Write the quadratic equation in standard form. What is the value of b^2 - 4ac?
1 = 2x^2 + 7x
A.) 40
B.) 41
C.) 57

Thanks :)
Click here to see answer by Boreal(15235)

Question 1077965: The graph of y = 2x^2 is transformed into y = -2x^2 + 3. Which of the following situations best represents the effect of transformation on the graph of the quadratic function? (Select all that apply).
A.) The transformation vertically stretches the graph by a factor of -2.
B.) The transformation reflects the graph over the y-axis.
C.) The transformation shifts the graph 3 units up.
D.) The transformation shrinks the graph by a factor of -2.
E.) The transformation shifts the graph 2 units down.
Click here to see answer by Boreal(15235)

Question 1077966: In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = (x+1)^2. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Click here to see answer by MathLover1(20849)

Question 1077979: Tommy and Zach are starting out at the same position. Tommy runs north at 5 miles per hour and Zach starts to run east 2 hours later at the rate of 8 miles per hour. How long until Tommy and Zach are 16 miles apart? Round to the nearest tenth if necessary.

Click here to see answer by jorel1380(3719)

Question 1077983: Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8

Click here to see answer by jorel1380(3719)

Question 1077978: A ball is launched into the sky at 54.4 feet per second from a 268.8 meter tall building. The equation for the ball�s height, h, at time t seconds is h = -3.2t^2 + 54.4t + 268.8. When will the ball strike the ground?

Click here to see answer by Alan3354(69443)

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