Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1156940: The floor of a shed has an area of 70 square ft. The floor is in the shape of a rectangle whose length is 4 feet less than twice the width. Find the length and the width of the floor. Use the formula, area=length•width
Click here to see answer by Star shadow(1)

Question 1157101: A man can buy a number of shirts with £720. If each shirt is £2 cheaper, he can buy 4 more shirts. How many did he buy?
Click here to see answer by ikleyn(52748)

Question 1157181: Total profit P is the difference between total revenue R and total cost C. Given the following total-revenue and total-cost functions, find the total profit, the maximum value of the total profit, and the value of x at which it occurs.

Upper R left parenthesis x right parenthesis equals 1200 x minus x squared
R(x)=1200x−x2,
Upper C left parenthesis x right parenthesis equals 3000 plus 20 x
C(x)=3000+20x
Click here to see answer by Theo(13342)

Question 1157249: find the quadratic equation which has difference of roots equal to 2 and the difference of the square of roots equal to 5
Click here to see answer by ikleyn(52748)

Question 1157272: Working backwards write a quadratic equation that will have solutions of x = 12 and x = 2.
Thank you
Click here to see answer by Edwin McCravy(20054)

Question 1157272: Working backwards write a quadratic equation that will have solutions of x = 12 and x = 2.
Thank you
Click here to see answer by josmiceli(19441)

Question 1157277: A town is planning a playground. It wants to fence in a rectangular space using an existing wall. What is the greatest area it can fence in using 100 ft of donated fencing?

Click here to see answer by josgarithmetic(39613)

Question 1157382: What is 2 + 2?
Click here to see answer by Edwin McCravy(20054)

Question 1157407: given the x-intercept for the grap of a quadratic function are 3 and -2, write a possible formula for the quadratic function, in factored form

Click here to see answer by Alan3354(69443)

Question 1157408: given the x-intercept for the graph of a quadratic function are 3 and -2, write a possible formula for the quadratic function, in factored form using 3 and -2

Click here to see answer by Alan3354(69443)

Question 1157409: given the x-intercept for the graph of a quadratic function are -4 and 1, write a possible formula for the quadratic function, in factored form using -4 and 1

Click here to see answer by ikleyn(52748)

Question 1157746: A rectangular field is to be enclosed by 400 m of fence. What is the maximum area? What dimensions will give the maximum area?

Click here to see answer by josgarithmetic(39613)

Question 1157746: A rectangular field is to be enclosed by 400 m of fence. What is the maximum area? What dimensions will give the maximum area?

Click here to see answer by ikleyn(52748)

Question 1157832: (a) When an aircraft was flying from Singapore to London the temperature outside the
the aircraft was -66℃. When the aircraft landed at London airport the temperature
was 15℃. Calculate the difference between these temperatures.
(b) Mr Roy, one of the passengers on the aircraft, travelled from the airport to
Cambridge. His journey took 2 hours 50 minutes and he arrived at Cambridge at
1:15 a.m. At what time did he leave the airport? (Express your answer in terms of the
24-hour clock.)

Click here to see answer by josmiceli(19441)

Question 1157830: In May, 1994, Mr Chauhan 1140 Indian Rupees into German Marks when the rate of exchange was x Rupees = 1 Mark.
Write down an expression, in terms of x, for the number of Marks he received.

Click here to see answer by ikleyn(52748)

Question 1157831: In July, Mr Chauhan again changed 1140 Rupees into Marks. The rate of exchange was then (x+1) Rupees = 1 Mark.
a) Write down an expression, in terms of x, for the number of Marks he received this time.
b) Given that he received 3 Marks less in July than he received in May, form an equation in x and show that it reduces to x^2+x-380=0.
c) Solve this equation to find the rate of exchange in May 1994.

Click here to see answer by Shin123(626)

Question 1128209: Maximum profit: A kitchen appliance manufacturer can produce up to 200 appliances per day. The profit made from the sale of these machines can be modeled by the function P(x)=-0.5x^2+175x-3300 where P(x) is the profit in dollars, and x is the number of appliances made and sold.
a)Find the y intercept and explain what it means in this context.
b)Find the x intercepts and explain what they mean in this context.
c)Determine the domain of the function and explain its significance.
d)How many should be sold to maximize profit? What is the maximum profit?
Click here to see answer by Shin123(626)

Question 1157933: if 6 times a number is added to the square of the number, the result is 16. find the number(s)

Click here to see answer by josgarithmetic(39613)

Question 1157933: if 6 times a number is added to the square of the number, the result is 16. find the number(s)

Click here to see answer by ikleyn(52748)

Question 1158106: What is the value of “c” in the equation 4x^2-17x+53=0
Click here to see answer by josgarithmetic(39613)

Question 1158111: f(x) = −16x^2 + 96x
At what time does the ball hit the ground?
What is the maximum height of the ball?
After how many seconds does the ball reach its maximum height?
Click here to see answer by solver91311(24713)

Question 1146285: Two projectiles are shot into the air from the same location. The paths of the projectiles are parabolas and are given by
(a) y = −0.0013x2 + x + 19 and
(b) y = -x^2/81 +4/3x + 19
where x is the horizontal distance and y is the vertical distance, both in feet. Determine which projectile goes higher by locating the vertex of each parabola. (Round your answers to two decimal places.)
(a) y = −0.0013x2 + x + 19
(x,y)=
(b) y = -x^2/81 +4/3x + 19
(x,y)=
Click here to see answer by Shin123(626)

Question 1158307: A ball is thrown vertically upward from the ground. Its distance in feet from the ground in t seconds is s=-16t+224t. After how many seconds will the ball be 720 feet from the ground?
please help!
Click here to see answer by Boreal(15235)

Question 1158356: https://imagehost.imageupload.net/2020/05/07/836D6717-5C2E-4F66-B4F7-A2B0657E1738.jpg
Problem: A ball is thrown vertically upward into the air. If the ball started from a height of 101 feet off the ground, use the following formula to represent the projection of the ball
where is the height of the ball after seconds have passed. Based on this information, answer the following questions.
1) When does the ball reach its maximum height?
Your answer must be expressed as a decimal rounded to 2 decimal places with correct units. Hint: The maximum occurs at the vertex of the parabola.

2) What is the maximum height of the ball?
Your answer must be expressed as a decimal rounded to 2 decimal places with correct units.

3) When does the ball return to the ground?
You must use the quadratic formula to solve this problem. Your answer must be expressed as a decimal rounded to 2 decimal places with correct units.
Hint: The ball reaches the ground when the height equals zero.

Click here to see answer by math-vortex(648)

Question 1158540: Abby Normal has a pig that presently weighs 200 pounds. She could sell it now for a price of $1.40 per pound. The pig is gaining 5 pounds per week while the price per pound is dropping 2 cents per week. When should Abby sell the pig to get the maximum amount of money for it? What is the maximum profit?

Click here to see answer by ikleyn(52748)

Question 1158571: A roofer thows a group of shingles into the trash bin on the ground below. The height of the shingles can be modeled by the function h(t)= -5t^2+11t+12 where h(t) is the height in meters and t is the time in seconds
a) how long will it take the shingles to hit the bottom of the trash?
b) Determine the maximum height of the shingles?
Thank you
Click here to see answer by Shin123(626)

Question 1158572: Joe Klothes has determined that the profit function for selling x thousand pairs of shorts is P(x)= -5x^2+19x-12
a) How many pairs of shorts must the company sell to break even?
b) How many pairs of shorts must the company sell to be profitable?
c)HOw many pairs of shorts must the company sell to maximize profits?
Click here to see answer by Shin123(626)

Question 1158668: *CAN YOU PLEASE EXPLAIN HOW YOU GOT THIS ANSWER FOR STUDYING PURPOSES*
Problem: A ball is thrown vertically upward into the air. If the ball started from a height of 101 feet off the ground, use the following formula to represent the projection of the ball
H=-16t^2+38t+101
where H is the height of the ball after t seconds have passed. Based on this information, answer the following questions.

1)When does the ball reach its maximum height?
Your answer must be expressed as a decimal rounded to 2 decimal places with correct units. Hint: The maximum occurs at the vertex of the parabola.

2)What is the maximum height of the ball?
Your answer must be expressed as a decimal rounded to 2 decimal places with correct units.

3)When does the ball return to the ground?
You must use the quadratic formula to solve this problem. Your answer must be expressed as a decimal rounded to 2 decimal places with correct units.
Hint: The ball reaches the ground when the height equals zero.

Click here to see answer by Boreal(15235)

Question 1158667: Problem: A ball is thrown vertically upward into the air. If the ball started from a height of 101 feet off the ground, use the following formula to represent the projection of the ball
H=-16t^2+38t+101
where H is the height of the ball after t seconds have passed. Based on this information, answer the following questions.

1)When does the ball reach its maximum height?
Your answer must be expressed as a decimal rounded to 2 decimal places with correct units. Hint: The maximum occurs at the vertex of the parabola.

2)What is the maximum height of the ball?
Your answer must be expressed as a decimal rounded to 2 decimal places with correct units.

3)When does the ball return to the ground?
You must use the quadratic formula to solve this problem. Your answer must be expressed as a decimal rounded to 2 decimal places with correct units.
Hint: The ball reaches the ground when the height equals zero.

Click here to see answer by MathLover1(20849)

Question 1158564: Scott and Tommy are glad to be done with algebra. The climb to the roof of a 300 foot building. Emmett drops his algebra book while Brennan throws his towards the ground at 10 feet per second. What is the time difference between the two books hitting the ground?
Click here to see answer by solver91311(24713)

Question 1158924: Find a quadratic equation function f(x)=ax^2 + bx + c whose vertex is (1,2) and whose y-intercept is (0,3)
Click here to see answer by Boreal(15235)

Question 1158924: Find a quadratic equation function f(x)=ax^2 + bx + c whose vertex is (1,2) and whose y-intercept is (0,3)
Click here to see answer by MathTherapy(10549)

Question 1158927: The path of a diver is given by
y = - 4x^2 +8x +1
Where x is the horizontal distance (in meters) from the end of the diving bored and y is the height (in meters). What is the maximum height of the driver and at which horizontal distance from the end of the diving board does she maximum height?
Click here to see answer by Boreal(15235)

Question 1158945: An object is thrown upward at a speed of 91 feet per second by a machine from a height of 15 feet off the ground. The height h of the object after t seconds can be found using the equation h = − 16t^2 + 91t + 15
(a) When will the height be 102 feet?
(b) When will the object reach the ground?
Click here to see answer by Alan3354(69443)

Question 1158926: Find the number of positive integers n, , for which the polynomial can be factored as the product of two linear factors with integer coefficients.
Click here to see answer by Edwin McCravy(20054)

Question 1158980: The height h in feet of an object after t seconds is given by the function
h = - 16t2 + 80t + 6.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth.

Click here to see answer by ikleyn(52748)

Question 1159232: What numbers can I multiply to get 24 and add to get -5
Click here to see answer by Amily_2190(27)

Question 1159232: What numbers can I multiply to get 24 and add to get -5
Click here to see answer by josgarithmetic(39613)

Question 1159232: What numbers can I multiply to get 24 and add to get -5
Click here to see answer by MathTherapy(10549)

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, 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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, 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