Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1166523: The graphs of polynomial functions of degree n may have ______ to ____ zeros when n is even, and ____ to ____ when n is odd.
The graphs of polynomials functions of degree n have ____ to _____ hills and valleys when n is even and _____ to ______hills and valleys when n is odd.
thanks

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Question 1166647: Find the coefficient of x¹⁰ in the expansion (2x-3)¹⁰
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1166688: 3(×+7) 2%C3%97%5E-8%C3%97
2×(×-4) %C3%97%5E%2B8%C3%97%2B16
7(×+1)-2× %C3%97%5E-2%C3%97-3
(×-3)(×+1) 3×+21
%28%C3%97%2B4%29%5E 5×+7
Questions
Were you able to find the indicated product?
What mathematicalconcepts or principles did you use to find your answer?
What common characteristics can you see in the products?

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Question 1166724: Steve opened a boutique in a shopping mall to sell
perfumes and cologne. The amount made by the store is given by the formula,
A = 50 (m - 8 )2 - 3200
where A is the amount made by the store in dollars and m is the number of months the store has
been opened.
a. During what month did he have the lowest net and what was it?
b. What is the amount made after 18 month?

Click here to see answer by Theo(13342) About Me 
Question 1166724: Steve opened a boutique in a shopping mall to sell
perfumes and cologne. The amount made by the store is given by the formula,
A = 50 (m - 8 )2 - 3200
where A is the amount made by the store in dollars and m is the number of months the store has
been opened.
a. During what month did he have the lowest net and what was it?
b. What is the amount made after 18 month?

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Question 1166719: he path of a model rocket is modelled by the quadratic function h(t)=-5(t-20^+ 25, where the height, h(t),is in meters and time,t,is in seconds.
a) when will the rocket reach a height of 20 meters?
b)was the rocket in their after 4 seconds?

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Question 1166740: An object is thrown upward at a speed of 132 feet per second by a machine from a height of 7 feet off the ground. The height h of the object after t seconds can be found using the equation h=-16t^2+132t+7. When will the height be 108 feet? When will the object reach the ground?
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Question 1166738: A certain electronics manufacturer found that the marginal cost C to produce x DVD/Blu-ray players can be found using the equation C=0.03x^2-5x+600. If the marginal cost were $527 how many DVD/Blu-ray players were produced?
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Question 1166968: how did you transform each equation into a quadratic equation? what mathematical concept or principles did you apply?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1166999: Given the equation of the function f(x)=(x-3)^2-5
a)Determine the equation of the inverse relation f^-1(x)
b)State the domain and range of f(x) and f^-1(x)

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Question 1166998: Horatio, a local farmer and part time magician, wants to create a rectangular compound for his chickens using wire fencing. Furthermore, he needs to divide the compound into two rectangular pens, to separate the roosters from the hens, by installing a dividing fence in the middle. He has 450 meters of fence. Determine the dimensions maximizing the enclosed area. What is the maximum area?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1166997: A rectangular lot consists of a swimming pool and the surrounding wooden deck with uniform width. The dimensions of the lot are 50m x 40m. What is the width of the deck, if the area of the pool is 70% of the overall area of the lot?
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Question 1167000: 1. The height of an object launched vertically above the surface of a planet is given by the function h=-1/2gt^2+vt+h, where g is the gravtiational acceleration on that planet, v is the initial velocity and h is the initial height of the object.
The gravitational acceleration on Mars is 4m/s^2. An astronaut jumps from a 10 metre high rock into the air with velocity of 8m/s upwards. He reaches a max height then accelerates downwards and eventually lands safely on the ground beneath the rock.
a)What is the max height reached by the astronaut
b)When is that max height achieved?
c)What is the duration of his flight?
d)When is the astronaut at the same height as the rock on his way down?
e)For how long is the astronaut higher than 12 metres above the ground?

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Question 1167000: 1. The height of an object launched vertically above the surface of a planet is given by the function h=-1/2gt^2+vt+h, where g is the gravtiational acceleration on that planet, v is the initial velocity and h is the initial height of the object.
The gravitational acceleration on Mars is 4m/s^2. An astronaut jumps from a 10 metre high rock into the air with velocity of 8m/s upwards. He reaches a max height then accelerates downwards and eventually lands safely on the ground beneath the rock.
a)What is the max height reached by the astronaut
b)When is that max height achieved?
c)What is the duration of his flight?
d)When is the astronaut at the same height as the rock on his way down?
e)For how long is the astronaut higher than 12 metres above the ground?

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Question 1167020: The outside dimension of rectangular flower bed including the pathway is 100cm by 136cm and the area excluding the pathway is 6400 cm squared.What is the uniform width of the pathway and how wide is the pathway?
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Question 1167215: Choose the quadratic function in standard form whose graph satisfies the given condition(s).
x-intercepts: ( - 3, 0) and (9, 0)

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Question 1167222: the shaded region of the diagram on the right shows the portion of a squared-shaped car park that is already cemented part is 600m2.How would you represent the length of the side of the car park?how about the width of the cemented portion
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Question 1167223:
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Question 1167246: Sometimes you must use multiple different types of factoring in the same question.
Fully factor


Write a different expression that, in order to be factored fully, must use 2 different types of factoring. (It is expected that each student has a different starting expression).

Verify by factoring it fully and showing your work.


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Question 1167245: Consider the rectangular “screen” you are using to complete this assessment.
Measure your screen (remember you got a ruler in your school kit) and write down the length and width.
LENGTH = WIDTH =

If x = 5cm, write an express

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Question 1167489: Quadratic equation find Discrminant find Nature of the roots
1.-6x^2+7x+3=0 ___________ ___________

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Question 1167531: The length of a wall is 12m more than it's width. If the area of the wall is 50m² what could be it's length?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1167538: A car travels 20kph faster than a truck. The car covers 480km in two hours less than the time it takes the truck to travel the same distance. How fast does the car travel?
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Question 1167539: The length of a car park is 120m longer than bits width. The area of the car park is 6400m². How would you represent the width of the car park? How about it's length? What equation represent the area of the car park? How would you use this equation representing nthe area of the car park in finding it's length and width? What is the length of a park? What is the width?
Click here to see answer by solver91311(24713) About Me 
Question 1167539: The length of a car park is 120m longer than bits width. The area of the car park is 6400m². How would you represent the width of the car park? How about it's length? What equation represent the area of the car park? How would you use this equation representing nthe area of the car park in finding it's length and width? What is the length of a park? What is the width?
Click here to see answer by ikleyn(52750) About Me 

Question 1167609: A certain pipe can fill up a tank 2 hours faster than another pipe. It takes 3 hours for both pipes to fill up the same tank. In how many hours would the first pipe fill up the tank?

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Question 1167635: what two numbers when multiplied together equal 875 and when added together equal negative 60
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Question 1167641: Sketch the functions y = 2^x and y = 3^x on the same graph for
−2 ≤ x ≤ 2

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Question 1167882:
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Question 1167958: A monthly teen magazine has $20,000 subscribers when it charges $12 per annual subscription. For each $1 increase in price, the magazine loses about 1000 subscribers. Our goal is to find how we can maximize the annual revenue.
a. How much will the revenue be when it charges $12?
b. How much will the revenue be when it charges $13?
c. How much will the revenue be when it charges $16?
d. Let c be the price increase (the number of $ by which it increases) and R(x) the annual revenue.
i. Write down the new price after an increase of x dollars
ii. Write down the new number of subscribers after an increase of x dollars
iii. Write down the R(x) in the intercept form
e. Identify the two zeros and find the average
f. How much should the magazine charge to maximize annual revenue?
g. What is the maximum annual revenue?

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Question 1167964: x / y
0.0 0.0
0.2 1.8
0.4 3.2
0.6 4.2
0.8 4.8
1.0 5.0
1.2 4.8
1.4 4.2
1.6 3.2
I need the quadratic function it represents and in standard form

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Question 1167980: A television screen is 16cm by 22cm. The manufacturer wants to increase the outer edge by a uniform width to double the area. Find the uniform width to the nearest cm.
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Question 1167987: “If you have a square and you cut off one corner, how many corners do you have
left?” asked Mrs. Wheeler. “Easy” answered Tony, “Three”. ‘Wrong Tony!” cried
Donnie. Where did Tony go wrong?” Explain your answer with a sketch.

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Question 1167992: A rectangle has an area of 120 cm 2 . Its length and width are whole numbers.
a. What are the possibilities of two numbers?
b. Which possibility gives the smallest perimeter?

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Question 1168041: A parabola has a line of symmetry x = -5. The minimum value of the quadratic function that it represents is -7. Find a possible equation of this parabola and explain how you found it.

Click here to see answer by Boreal(15235) About Me 
Question 1168041: A parabola has a line of symmetry x = -5. The minimum value of the quadratic function that it represents is -7. Find a possible equation of this parabola and explain how you found it.

Click here to see answer by MathTherapy(10549) About Me 

Question 1168072: A coffee shop currently sells 410 lattes a day at $2.75 each. They recently tried raising the by price by $0.25 a latte, and found that they sold 30 less lattes a day.
a) Assume that the number of lattes they sell in a day, N, is linearly related to the sale price, p (in dollars). Find an equation for
N as a function of p
N(p) = ?

b) Revenue (the amount of money the store brings in before costs) can be found by multiplying the cost per cup times the number of cups sold. Again using p as the sales price, use your equation from above to write an equation for the revenue,
R as a function of p.
R(p)= ?

c) The store wants to maximize their revenue (make as much money as possible). Find the value of p that will maximize the revenue (round to the nearest cent).
p = ?
which will give a maximum revenue of $ ?
I'm in real need of resolving this problem. Please help me!!!

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Question 1168241: Max has $3.00 in change in his pocket, consisting of quarters, dimes and nickels. The number of
quarters is one-half the number of nickels and the number of dimes is three more than the number
of quarters. How many nickels, dimes and quarters does Max have in his pocket?

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Question 1168312: 10x+2=15x^2 +3x

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Question 1168319: 1. Ken has a pool 20 feet by 24 feet. He wants to put grass in a strip of uniform width around the pool. He has enough grass strip of 192 𝑓𝑡2 . How wide will the strip be?
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Question 1168331: Given a polynomial and one or more of its roots, find the remaining roots:
y = x3 - 4x2 - 9x + 36; root = -3

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Question 1168331: Given a polynomial and one or more of its roots, find the remaining roots:
y = x3 - 4x2 - 9x + 36; root = -3

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Question 1168367: y=-2x^2+4x+10
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Question 1168464: Write a function in satndard form that has the given four zeros.
Zeroes: 0,-2,-3,4

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Question 1168523: FIND 2 CONSECUTIVE POSTIVE ODD INTEGERS WHOSE PRODUCT IS 63
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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