Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1171702: The profit P(x) that company earn for selling x number of toy cars can be modelled by
P(x) =25x^2 +1000 -3000.
1. Write an inequality that models the problem if the profit P has to be at least php 5000
2. what could be the range of possible values of x
3. how many toy cars must be sold for a profit of at least php 5000
4. how many toy cars must be sold to obtain the maximum profit
5. how much is the maximum profit
Click here to see answer by ikleyn(52776)   |
Question 1171510: Show the mathematics of designing and constrcting a parabolic arch that is 10 meters across the base and 10 meters tall (measured from the ground to the vertex at the bottom of the keystone). Remember: -4a(y-k)=(x-h)^2
a) Place an axis system on this parabola
b) Find the function for this parabola
c) Make a chart of values for functional heights spaced 1 meter apart
d)How far down from the vertex is the focal point?
Click here to see answer by CPhill(1959)  |
Question 1170322: Formulate a quadratic equation then answer what is asked in the problem.
John can answer all the problem solving in the activity in Math 9 module within 24 hours alone. But Justine can answer it 4 hours more than John. How long will it take Justine to answer? How many hours to finish answering the activity if they worked together?
Click here to see answer by josgarithmetic(39616) |
Question 1170322: Formulate a quadratic equation then answer what is asked in the problem.
John can answer all the problem solving in the activity in Math 9 module within 24 hours alone. But Justine can answer it 4 hours more than John. How long will it take Justine to answer? How many hours to finish answering the activity if they worked together?
Click here to see answer by ikleyn(52776) |
Question 1170219: When lithium fluoride is dissolved in water, the equation of the solubility constant (Ksp) is
Ksp = [Li+] × [F-].
The value of Ksp for lithium fluoride is 0.00184 mol2/L2.
If the concentration of fluorine, [F-], is 0.0060 mol/L more that the concentration of lithium, [Li+], what is the concentration of lithium, [Li+], in the solution?
Round your answer to 2 significant figures.
Click here to see answer by CPhill(1959) |
Question 1165727: a satellite dish has a shaped of a paraboloid. If the receiver of the satellite dish is placed at the focus 2.53 ft from the vertex, write an equation for the cross-section of the satellite dish. Assume that the focus is on the positive x-axis and its vertex at the origin.
Click here to see answer by ikleyn(52776) |
Question 1210274: Maricopa's Success scholarship fund receives a gift of $ 100000. The money is invested in stocks, bonds, and CDs. CDs pay 4.75 % interest, bonds pay 5.5 % interest, and stocks pay 6.7 % interest. Maricopa Success invests $ 40000 more in bonds than in CDs. If the annual income from the investments is $ 5590 , how much was invested in each account?
Click here to see answer by Edwin McCravy(20054)  |
Question 1210274: Maricopa's Success scholarship fund receives a gift of $ 100000. The money is invested in stocks, bonds, and CDs. CDs pay 4.75 % interest, bonds pay 5.5 % interest, and stocks pay 6.7 % interest. Maricopa Success invests $ 40000 more in bonds than in CDs. If the annual income from the investments is $ 5590 , how much was invested in each account?
Click here to see answer by ikleyn(52776) |
Question 1210274: Maricopa's Success scholarship fund receives a gift of $ 100000. The money is invested in stocks, bonds, and CDs. CDs pay 4.75 % interest, bonds pay 5.5 % interest, and stocks pay 6.7 % interest. Maricopa Success invests $ 40000 more in bonds than in CDs. If the annual income from the investments is $ 5590 , how much was invested in each account?
Click here to see answer by mccravyedwin(406)  |
Question 1181712: A rocket is being launched vertically over a point 𝐴 on the ground with
a velocity of 550 𝑚𝑖Τℎ𝑟. Twenty five miles away from point 𝐴 on the
ground, there is a photographer video-taping the launch. At what rate
is the angle of elevation of the camera changing when the rocket
achieves an altitude of 25 miles?
Click here to see answer by ikleyn(52776) |
Question 1180642: 1. A programmer is writing the code for a new interactive basketball game. She is using quadratic relations to model the path of the ball. During the game, when a ball is shot, the path it follows is modelled by the quadratic relation, h = - 0.2d2 + 3d + 6, where h represented the height of the ball above the ground and d represented the distance of the ball from the shooter. Both distances are measured in feet. A programmer is writing the code for a new interactive basketball game. She is using quadratic relations to model the path of the ball. During the game, when a ball is shot, the path it follows is modelled by the quadratic relation, h = - 0.2d2 + 3d + 6, where h represented the height of the ball above the ground and d represented the distance of the ball from the shooter. Both distances are measured in feet.
a.Create a own quadratic relation that would model the path of a shot from a distance of 15 feet that would hit the rim of the basketball net. Explain how you obtained the answer.
Click here to see answer by ikleyn(52776) |
Question 1165819: Mr. Lim orders chairs from a factory to sell. When he orders a batch of x chairs, the cost of each chair, $y is given by y = x2 - 14x + 80.
a. Find x such that the cost of each chair is the same as when Mr. Lim
ordered 5 chairs.
b. Find the number of chairs in a batch he needs to orders such that the cost
per chair is less than $45.
Click here to see answer by ikleyn(52776) |
Question 1165819: Mr. Lim orders chairs from a factory to sell. When he orders a batch of x chairs, the cost of each chair, $y is given by y = x2 - 14x + 80.
a. Find x such that the cost of each chair is the same as when Mr. Lim
ordered 5 chairs.
b. Find the number of chairs in a batch he needs to orders such that the cost
per chair is less than $45.
Click here to see answer by greenestamps(13198)  |
Question 1165818: Mr. Lim orders chairs from a factory to sell. When he orders a batch of x chairs, the cost of each chair, $y is given by y = x^2 - 14x + 80.
a. Find x such that the cost of each chair is the same as when Mr. Lim
ordered 5 chairs.
b. Find the number of chairs in a batch he needs to orders such that the cost
per chair is less than $45.
Click here to see answer by ikleyn(52776) |
Question 1159323: A picture frame holds an 8-inch by 10-inch photograph. The frame adds a border x inches wide around three sides of the photo. On the fourth side, the frame is wider to accommodate a decoration on the frame. The forth side is (3x-1) inches wide, as shown in the figure.
a) write a quadratic expression for the combined area of the frame in terms of x.
b)if the border on the three matching sides in 1 inch, what is the combined area of the frame?
c)if the combined area of the frame is 165 square inches, find x.
Click here to see answer by ikleyn(52776) |
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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, 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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, 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