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Question 1186013: Sam and Justin together can do a work in 2 days. If they had to work separately, the time taken by Justin to do the work would be more than that of Sam by 3 days. In how many days cam Justin do the work alone? (Applying quadratic equations)
Click here to see answer by ikleyn(52756)

Question 1186073: Give an example of a real-life circumstance in which the concept of a rational algebraic equation that can be transformed into a quadratic equation is used. Answer the following questions based on the situation:
1. How can you apply the concept of a rational algebraic equation to a quadratic equation in this situation?
2. What are the quantities involved in the scenario? Which of these numbers is known? What about the unidentified quantities?
3. Create an issue from the provided situation and then solve it?
4. What does the achieved solution represent?
Click here to see answer by ikleyn(52756)

Question 1186085: Turn 3x^3= 14x^2-8 into a quadratic equation.
Click here to see answer by josgarithmetic(39614)

Question 1186085: Turn 3x^3= 14x^2-8 into a quadratic equation.
Click here to see answer by ikleyn(52756)

Question 1186303: the length of the garden should be 2 less than 3 times the width. The area should be 16 cm. Find the dimensions & perimeter of the garden.
Click here to see answer by greenestamps(13195)

Question 1186198: Give one (1) illustrative example for each concept on transforming quadratic functions. Write your answer in general form y = ax^2+bx+c and its equivalent
vertex form y=a(x-h)^2+k.
Concepts
- Transforming a quadratic function in the form y=ax^2+ bx+c into the form y=a(x-h)^2 by completing the square.
WHAT IS THE ILLUSTRATIVE EXAMPLES?
- Transforming a quadratic function in the form y=ax²+bx+c into the form y=a(x-h) ²+ k by applying the formula: h=-b/2a and k = 4ac-b²/4a.
WHAT IS THE ILLUSTRATIVE EXAMPLES?
- Transforming a quadratic function in the form y=a(x-h)² + k into the formy ax^2+ bx+c.
WHAT IS THE ILLUSTRATIVE EXAMPLES?
Click here to see answer by MathLover1(20849)

Question 1186355: Two dimensions x and y
16 square feet

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Question 1186355: Two dimensions x and y
16 square feet

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Question 1186354:
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Question 1186371: please find the solution set of the following rational algebraic equations:
1. 4/t-3 + t/2 =-2
2. 5/4x - x+2/3 =x-1
3. s+2/2s - s+2/4 =-1/2

Click here to see answer by josgarithmetic(39614)

Question 1186433: The profit function for a computer company is given by P(x) = -x^2+20 x - 26 where x is the number of units produced (in thousands) and the profit is in thousand of dollars.
Click here to see answer by ikleyn(52756)

Question 1186505: A farmer has 120m of fencing. He wants to put a fence around three sides of a rectangular plot of land, with the side of a barn forming the fourth side. What dimensions give this area?
Click here to see answer by greenestamps(13195)

Question 1186502: If the sum of two numbers is 30. Find their maximum product.
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Question 1186507: A projectile is launched from a point above the ground. The height at ground level is given by the equation h=-3t^2+24t, where h is the height in meters and t is the time in seconds.
Click here to see answer by ikleyn(52756)

Question 1186504: A ball is thrown from a point above the ground. The height at ground level is given by the equation h=-3t^2+24t, where h is the height in meters and t is the time in seconds. What is the maximum height the ball can reach? How long will it take to reach the maximum height?
Click here to see answer by ikleyn(52756)

Question 1186503: A rectangular lot is to be enclosed with 160cm of fencing materials. Find the maximum area of such enclosure.
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Question 1186583: What is the standard form, discriminant and nature of the roots of the equation 1/x - x/6 = 2/3 ?
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Question 1186615: What is the solution set of x²-4x-12>0 and x²-8x+15<0
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Question 1186822:
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Question 1186823: According to the 2011 census, the population of Ottawa was 883390. The population
has been growing at a rate of 1.7% per year. We can use the formula:
=
1 +
to model the population growth.
a) What is the population of Ottawa in 2018?
b) What is the projected population of Ottawa in 2025?
Click here to see answer by ikleyn(52756)

Question 1187137: The height(h) in feet of a ball(t) seconds after being tossed upward is given by the function h(t) = 80t - 16t^2.
How long will it take to reach the maximum height?
Click here to see answer by ikleyn(52756)

Question 1187181: A wooden cabinet that can be made out of a 1" 4' x 16' plywood. Formulate a problem that involves rational algebraic equations, then solve accurately. The given scale is 1 cm: 1 m.
Click here to see answer by Alan3354(69443)

Question 1187253: Lindsay has forgotten the day and month of Kenny's birthday. Kenny gives her the following hints for the numeric date: The day is 6 more than four times the month. The month times the day equals miss Lindsay's favorite number, 54. When is the Kenny's birthday?
Click here to see answer by ikleyn(52756)

Question 1187251: Lindsay has forgotten the day and month of Kenny's birthday. Kenny gives her the following hints for the numeric date: The day is 6 more than four times the month. The month times the day equals miss Lindsay's favorite number, 54. When is the Kenny's birthday?
Click here to see answer by ikleyn(52756)

Question 1187323: An object is thrown upward at a speed of 51 feet per second by a machine from a height of 11 feet off the ground.
The height h of the object after t seconds can be found using the equation
h= −16t^2 + 51t +11
When will the height be 34 feet?

When will the object reach the ground?

Click here to see answer by ikleyn(52756)

Question 1187326: NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)= −4.9t2^ + 211t + 276.

Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? For intermediate work, keep at least five decimal places. For the final answer, round to the nearest hundredth.

How high above sea-level does the rocket get at its peak?

Click here to see answer by ikleyn(52756)

Question 1187327: NASA launches a rocket at t=0seconds. Its height, in meters above sea-level, as a function of time is given by h(t)= − 4.9t^2 + 229t + 122.

Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? For intermediate work, keep at least five decimal places. For the final answer, round to the nearest hundredth.

The rocket splashes down after seconds.

How high above sea-level does the rocket get at its peak?

The rocket peaks at meters above sea-level.

Click here to see answer by ikleyn(52756)

Question 1187370: Please help me to sketch a graph of f(x)=-(x-2)²+4 and to find the vertex,x and y intercept.
Click here to see answer by josgarithmetic(39614)

Question 1187475: 12(x^2+1/x^2)-56(x+1/x)+89=0
Click here to see answer by greenestamps(13195)

Question 1187549: Suppose that someone made a hot pizza, right after taking it out of the oven it had the temperature of 110C°, we can only ingest it, without the risk of it burning us, when it have its temperature equivalent to 40°C. The temperature of the food decreases according to the function: f(t)= 120.2^( - 1.6t)+10, with t being minutes. Once ready, from how long can we ingest it without the risk of getting burned?
https://imgur.com/bvEpqOY
Click here to see answer by ikleyn(52756)

Question 1187552: The height h in feet of an object after t seconds is given by the function
h = -16t^2 + 40t + 10.
How high was the object when it was launched?
Click here to see answer by ikleyn(52756)

Question 1187625: if m/n= 2/3 and n/p = 7/6 what is m/p equal to?
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Question 1187624: find the value of c in the equation 12x^2 + 20x + c = 0 so that the sum and product of the roots are equal
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Question 1187623: find the value of k and the other root of 4x^2 + kx + 15=0 if 5 is one of its roots
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Question 1187738: Find two positive real numbers whose sum is 26 and product is maximum.
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Question 1187743: Karen intends to buy some oranges. At the market price she will need to pay Php 96 for those oranges. The vendor discounted the price by Php 2 each. At the new price she was able to buy 8 oranges paying the same amount. How many oranges did she buy?
Click here to see answer by ikleyn(52756)

Question 1187777: If x2 - tx + t = 0, where t > 0, has one solution for x, then x is equal to
A 1
B - 1
C - t + t2- t
D 2
E - t
Click here to see answer by ikleyn(52756)

Question 1187915: the roots of 2x^2 +3x-1=0 are alpha and beta. Find the values of [alpha square +1÷beta square] [beta square+1÷alpha square]

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Question 1187914: the roots of 2x^2 +3x-1=0 are alpha and beta. Find the values of alpha square -beta square

Click here to see answer by MathLover1(20849)

Question 1187927: use a quadratic equation to find two real numbers that satisfy each equation. their sum is 12, and their product is -85
Click here to see answer by math_helper(2461)

Question 1187927: use a quadratic equation to find two real numbers that satisfy each equation. their sum is 12, and their product is -85
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