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Question 1131534: Hi, I was wondering how I would solve this question.
The average ticket price to see a Drive‐in movie between 1993 and 1998, is modelled by
𝐶 =0.025𝑥^2- 0.4𝑥 +8.25 where C is the cost of the ticket in dollars and 𝑥 is the number of years after 1993(x= 0 in 1993)
a) What will be the admission cost in 2017?
b) When will the admission cost be $20.00
I know that I have to solve for the vertex but I dont know what to do with the numbers after, thank you for your time.

Click here to see answer by rothauserc(4718)

Question 1131619: Which shows one way to determine the factors of x3 + 11x2 � 3x � 33 by grouping?

Click here to see answer by MathLover1(20849)

Question 1131619: Which shows one way to determine the factors of x3 + 11x2 � 3x � 33 by grouping?

Click here to see answer by MathTherapy(10549)

Question 1131807: The height of a ball after it has been hit from the top of a hill can be modeled by the equation h= -8(2t-4)(t+1), where H is height in feet and t is time in seconds. How long is the ball in the air?
Click here to see answer by Boreal(15235)

Question 1131896: A jogger runs into the country side at a rate of 10mph. He returns along the same route at 6mph. If the total trip took 1 hour, 36 minutes, how far did he jog?
Click here to see answer by greenestamps(13195)

Question 1131899: Steve travels 4 times as fast as Fred. Traveling in opposite directions, they are 105 miles apart after 3 hours. Find their rates of travel.
Click here to see answer by greenestamps(13195)

Question 1131893: Heather has a total of $5000 to invest. She puts
part of it in an account paying 5%/year interest and the
rest in a GIC paying 7.2% interest. If she has $349 in
simple interest at the end of the year, how much was
invested at each rate?
what would the interest rate be at each percentage? Thank You!
Click here to see answer by greenestamps(13195)

Question 1131679: 1) Write the quadratic function rule that has a vertex at (-2,5) and is stretched by a factor of 2 and reflected across the x axis.
2) The vertex of a quadratic function is (1,-50). F(5) = -18. Find the function rule, find the roots, and find the y intercept.
3) The roots of a quadratic function are -3 and 7. The quadratic coefficient is -1/5. write the rule in factored form and find the maximum of the function
Click here to see answer by greenestamps(13195)

Question 1132056: Find the remainder when f(x) = 3x�-2x�+x-1 is divided by x-5.
Click here to see answer by Boreal(15235)

Question 1132056: Find the remainder when f(x) = 3x�-2x�+x-1 is divided by x-5.
Click here to see answer by ikleyn(52748)

Question 1132053: If α and β are the roots of 2x�-2x+5=0, find the values of (1/α+1)+(1/β).
Hence determine the nature of the roots.
Click here to see answer by MathLover1(20849)

Question 1132053: If α and β are the roots of 2x�-2x+5=0, find the values of (1/α+1)+(1/β).
Hence determine the nature of the roots.
Click here to see answer by ikleyn(52748)

Question 1132198: The Johnson High school theater club is trying to set the price of tickets for a play.If the price is too low,they will not make enough money to cover expenses and if the price is too high,not enough people will pay the price of a ticket.They estimate that their total income per concert,I,in hundreds of dollars,can be approximated by the formula
I=-x^2+24x-44,0 ≤ x ≤ 24 where x is the cost of a ticket
a)draw the graph of income versus the cost of a ticket.
b)Determine the minimum cost of a ticket for the theater club to break even.
c)Determine the maximum cost of a ticket that the theater club can charge and break even.
d)How much should they charge to receive maximum income?
e)Find the maximum income.

Click here to see answer by Theo(13342)

Question 1132331: solve this by using quadratic formula:
-(l+m)-lx^2+(2l+m)x=0,l not equal to zero
Click here to see answer by josgarithmetic(39613)

Question 1132358: how do you solve x^2-8x=10 using the quadratic formula
Click here to see answer by ankor@dixie-net.com(22740)

Question 1132358: how do you solve x^2-8x=10 using the quadratic formula
Click here to see answer by ikleyn(52748)

Question 1132390: A baseball is thrown that follows the path of a parabola. The baseball reaches its maximum height in 2.5 seconds.
At which time would the baseball still be increasing along its path?
Answer Choices
At 1.5 seconds

At 2.5 seconds

At 3.5 seconds

At 4.5 seconds
Click here to see answer by ikleyn(52748)

Question 1132428: A concert promoter has found that if she sells tickets for $50 each, she can sell 1200 tickets, but for each $5 she raises the price, 50 less people attend. What price should she sell the tickets at to maximize her revenue?
what is the answer to this problem and please explain as to why that is the function used and arrived to that specific answer
Click here to see answer by ankor@dixie-net.com(22740)

Question 1132482: Find the quadratic equation whose root are -1/4 and 3.

Click here to see answer by Theo(13342)

Question 1132504: A triangle has a base of 2x+3 and a height of 7x-4. What are the base and height dimensions of the triangle if it has an area of 275 m^2? Round year answers to the nearest hundredth.
Click here to see answer by Alan3354(69443)

Question 1132643: 1/(x-1)^2+1/x-1=12
Click here to see answer by ikleyn(52748)

Question 1132651: Identify the a and b values of the following function:

Click here to see answer by ikleyn(52748)

Question 1132659: Ben threw a toy upward from the window of their two story house. It's height h, in feet, in t seconds is given by h = -16t^2+48t+36. After how many seconds will the toy reach the ground? (Hint: the toy will reach the ground ai h=0)
Click here to see answer by ikleyn(52748)

Question 1132708: If the roots are ax^2+bx+c=0, differ by 1, show that they are (a-b)/2a and -(a+b)/2a, and prove that b^2=a(a+4c)
Click here to see answer by Edwin McCravy(20054)

Question 1132709: Draw the graph of y=4+2x-x^2 for values of x from -2 to 4 using a scale of 2cm to represent 1 unit on both axis.
(i). From your graph obtain the roots of the equation
4+2x-x^2=0, correct to one decimal place.
(ii). On the same axis as in (a) above, draw a line graph which need to solve the 3+x-x^2.
(iii). From the graph solve 3+x-x^2=0
Click here to see answer by Boreal(15235)

Question 1132872: Is the following linear, quadratic, or other, explain your reasoning.
A dealer sells cars for $800 mark-up. For every $200 less mark-up they will sell 1 more car. What mark-up will maximize profit?

Click here to see answer by Boreal(15235)

Question 1132884: The four- wheeled cart is held at the bottom of a ramp. It is given a gentle push so that it rolls part of the way up the ramp, slows, stops, and then rolls back down the ramp. A motion detector is placed at the top of the ramp to detect the motion of the cart. The equation representing this situation is y=0.2t^2-0.6t+0.95
a) how far is the cart from the detector at the start?
b) How far is the cart from the detector at 1 second?
Click here to see answer by ikleyn(52748)

Question 1132878: The function y=-5t^2+20t+2 gives the approximate height, h metres, of a thrown football as a function of time, t seconds since it was thrown. The ball hit the ground before a receiver get near it.
a) From what height was the football thrown?
b) How long was the ball in the air, to the nearest tenth of a second?
c) For how many seconds was the height of the ball less than 17m?
Thanks
Click here to see answer by ikleyn(52748)

Question 1132898: 3²-3x²-10=0
Click here to see answer by Alex.33(110)

Question 1132899: 1.x/x-3 - 1/x-3=2x
2.x³-2x/2x =x-1/3
3.x²-3x/x²=x/5x+4
Click here to see answer by Alan3354(69443)

Question 1132947: Complete the square for each equation and determine the vertex and the maximum and minimum value of the function for which the vertex occurs:
a) y=6x^2+12x-18
b) y=4x^2-16+10
Click here to see answer by MathLover1(20849)

Question 1132976: write the quadratics equation whose roots are 3 and 6, and whose leading coefficient is 4
Click here to see answer by Alan3354(69443)

Question 1133130: The height of a rectangular box is 5ft. The length is 5ft longer than twice the width x. The volume is 375ft^3. write an equation for the volume
Click here to see answer by Alan3354(69443)

Question 1133262: Please help me solve sqrt( 2x - 1 ) - sqrt( x - 1 ) = 1
Click here to see answer by MathLover1(20849)

Question 1133282:
Click here to see answer by Alan3354(69443)

Question 1133286: Please help me solve for x in sqrt( x + 1 ) + sqrt( 5x + 1 ) = 2sqrt( x + 6 ) find x
Click here to see answer by Alan3354(69443)

Question 1133502: The height of a triangle is 3 cm more than it’s base. Find the height and base if it’s area is 35 cm ^2.
Click here to see answer by greenestamps(13195)

Question 1133500: The volume of a rectangular storage box is 1440 in ^3. It is 20 in long, and it is half as tall as it is wide. Find the width and height of the box.
Click here to see answer by josgarithmetic(39613)

Question 1133578: A rectangular countertop has an area of 15 ft ^2. If the width is 3.5 ft shorter than the length, what are the dimensions of the countertop? Write an equation and solve.
Click here to see answer by josgarithmetic(39613)

Question 1133579: The sum of three consecutive integers is one third the square of the middle number. Find the integers. Write an equation and solve.
Click here to see answer by Alan3354(69443)

Question 1133679: Use completing the square to solve for x in the equation (x+7)(x-9)=25.
Click here to see answer by josgarithmetic(39613)

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