Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 113765: The length of a rectangle is 3cm more than 2 times the width. If the area of the rectangle is 99 cm^2, find the dimensions of the rectangle to the nearest thousandth.
The equation I got from this is:
x(2x+3)=99
I have worked it to this point, and gotten stuck.
2x^2+3x=99
2x^2+3x-99=0
I am not sure what to do after this. I have tried to factor this, but am not able to. What do I do now?

Click here to see answer by checkley71(8403) About Me 

Question 113753: Solve using the quadratic formula:
x2 – 3x – 23 = 5

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Question 113753: Solve using the quadratic formula:
x2 – 3x – 23 = 5

Click here to see answer by jim_thompson5910(35256) About Me 

Question 113707: Could someone help me out with this problem.
A box is made from a sheet of metal. The box has no top. Equal size squares measuring 4 inches can be cut from the corners so that the remaining metal can be folded up into a box with no top. The length of the box is twice the width of the box and the volume of the resulting box is 936 inches cubed. write an equation with one variable representing the volume of the box. What are the dimensions of the sheet of metal? What are the dimensions of the box

Click here to see answer by checkley71(8403) About Me 

Question 113832: hey,
could answer this question for me.
find the quadratic relation in vertex form that has zeros -3 and 5 and passes through (3,6).
i found the x-symmetry which is -3+5= 2/2 = 1
Therefore x=1
but i did get how to find the y value
could u please solve it to me and send it back.
i will be waiting.
thank you,

Click here to see answer by stanbon(75887) About Me 
Question 113832: hey,
could answer this question for me.
find the quadratic relation in vertex form that has zeros -3 and 5 and passes through (3,6).
i found the x-symmetry which is -3+5= 2/2 = 1
Therefore x=1
but i did get how to find the y value
could u please solve it to me and send it back.
i will be waiting.
thank you,

Click here to see answer by edjones(8007) About Me 

Question 113899: Hi
I am having great difficulty trying to solve the following:-
I have tried puting the equation for the first part of the problem into my TI-83 graphing calculator..but I cannot find a proper solution .. in fact I have tried all I can think of, this problem is causing me to fall behind with my work.
I have seen many examples of how to solve the problem for a rocket ..the fact that this is a two stage rocket..is causing me to not be able to solve it


I have spent ages trying to work out the way to program my TI-83 calculator to solve the following... I would appreciate guidance or direction to a site that can show me how to solve the following;-
the motion of two stage rocket is stated by it height y in metres above the ground since t seconds since launch.
Flies vertically Ist stage burns for 5 seconds and cuts out. 2nd stage rocket is under gravity alone.
modelled by the equations
Stage 1 height y = 10t2
time 0< t <5
stage 2 height y = - 5t2 + 150t - 375
time t >5
Question asks you plot function on ti 83, using an appropriate window for time(s)
hence sketch a position time graph for each stage of flight adding labels etc..
also ask you to plot use the n deriv function to plot rate of change of function.
If I can find the basic means of plotting graph I should be able to answer the question but cannot find anything in manual that is similar to solving a question of this type.
I appreciate yout time and effort and thanks !!!!!!!!

Click here to see answer by amylouise93(2) About Me 
Question 113899: Hi
I am having great difficulty trying to solve the following:-
I have tried puting the equation for the first part of the problem into my TI-83 graphing calculator..but I cannot find a proper solution .. in fact I have tried all I can think of, this problem is causing me to fall behind with my work.
I have seen many examples of how to solve the problem for a rocket ..the fact that this is a two stage rocket..is causing me to not be able to solve it


I have spent ages trying to work out the way to program my TI-83 calculator to solve the following... I would appreciate guidance or direction to a site that can show me how to solve the following;-
the motion of two stage rocket is stated by it height y in metres above the ground since t seconds since launch.
Flies vertically Ist stage burns for 5 seconds and cuts out. 2nd stage rocket is under gravity alone.
modelled by the equations
Stage 1 height y = 10t2
time 0< t <5
stage 2 height y = - 5t2 + 150t - 375
time t >5
Question asks you plot function on ti 83, using an appropriate window for time(s)
hence sketch a position time graph for each stage of flight adding labels etc..
also ask you to plot use the n deriv function to plot rate of change of function.
If I can find the basic means of plotting graph I should be able to answer the question but cannot find anything in manual that is similar to solving a question of this type.
I appreciate yout time and effort and thanks !!!!!!!!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 113917: hey,
could u please solve this equation.
find the quadratic relation in vertex form that has zeros -3 and 5 and passes through (3,6).
i found x-value which is the axis of symmetry -3+5= 2/2 = 1
Therefore x=1
but i could not find the y-value
Please could u sovle it and send me back.
i will be waithing,
thank you,


Click here to see answer by jim_thompson5910(35256) About Me 

Question 113950: Write the equation x(x - 10) + 9 = 0 in quadratic form and then solve it by factoring
Click here to see answer by jim_thompson5910(35256) About Me 

Question 113952: Use factoring to solve the equation.
9 x^ 2 + 45 x = 0

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Question 113952: Use factoring to solve the equation.
9 x^ 2 + 45 x = 0

Click here to see answer by MathLover1(20849) About Me 

Question 113956: Use factoring to solve the equation.
7 z^ 2 = 161 z - 924

Click here to see answer by checkley71(8403) About Me 
Question 113956: Use factoring to solve the equation.
7 z^ 2 = 161 z - 924

Click here to see answer by stanbon(75887) About Me 

Question 113973: Use the quadratic formula to solve the equation
7x^2-32x=31


Click here to see answer by MathLover1(20849) About Me 
Question 113973: Use the quadratic formula to solve the equation
7x^2-32x=31


Click here to see answer by checkley71(8403) About Me 
Question 113973: Use the quadratic formula to solve the equation
7x^2-32x=31


Click here to see answer by jim_thompson5910(35256) About Me 

Question 113992: Solve the quadratic equation using the Quadratic Formula:
2y^2-y=6


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Question 113993: Solve the quadratic equation using the Quadratic Formula:
3x^2-2x-2=0


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Question 113995: The Hudson River flows at a rate of 3mph. A patrol boat travels 60 miles upriver and returns in a total time of 9 hr. What is the speed of the boat in still water?
D= rt upriver - 9r = 60 still water - 3rt = 60
Have I set this equation up correctly? Where do I go from here? Please help me.

Click here to see answer by jim_thompson5910(35256) About Me 
Question 113995: The Hudson River flows at a rate of 3mph. A patrol boat travels 60 miles upriver and returns in a total time of 9 hr. What is the speed of the boat in still water?
D= rt upriver - 9r = 60 still water - 3rt = 60
Have I set this equation up correctly? Where do I go from here? Please help me.

Click here to see answer by checkley71(8403) About Me 

Question 114059: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?
Click here to see answer by josmiceli(19441) About Me 

Question 113945: I am having trouble figuring out how to turn these wrod problems into quadratic equations. Can anyone help?
1). a designemr attempting to arranfe the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short 25 characters. Can you find the number of characters used by the designer? I know that he has 600 characters but, I'm not sure how to transform it into a quadratic equation.
2). Some students planned for a get-together. The budget for food was $500. Five of the students failed to come, and therefore the cost of food for each member increased by $5. How many students attended the get-together? I know that 20 students attended, but don't know how to set up the quadratic equation.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 114055: A designer attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 114094: A business invests $10,000 in a savings account for two years. At the beginning of the second year, an additional $3500 is invested. At the end of the second year, the account balance is $15,569.75. What was the annual interest rate?
Click here to see answer by edjones(8007) About Me 

Question 111127: Please solve for x
3(x-6)=2(x+2)
I am having for difficulties w/ this equation....the following is what I have come up with can you please help me.
3(x-6)=2(x+2)
But I cant get any further...THank you so much for your help!!!!

Click here to see answer by alexander164(3) About Me 

Question 114152: In still water , Larry sails his boat at an average of 30km/h. One day, he spent as much time sailing 104km down river as he did sailing 91km back up the river. What was the rate of the river current ?
Click here to see answer by stanbon(75887) About Me 

Question 114157: Chris's wages vary directly as the time she works. If her wages for 20 hours are $150 what is the varation constant? what are the wages for 72.5 hours?
Click here to see answer by stanbon(75887) About Me 

Question 114158: write a linear equation in slope intercept form ti nidek the following situation. Angies mother wants to take some adult education classes at the local highschool. she had to pay a one -tiome enrollemment fee of $25 to join the adult education community, and then 45$for each class she wants to take.
Click here to see answer by stanbon(75887) About Me 

Question 114156: in 1996 there were aproxmitely 275 students in the Delaware High School band. In 2002, that number increased to 305. Find the annaul rate of change in the number of students in a band.
Click here to see answer by stanbon(75887) About Me 

Question 114155: y=-3/2x
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Question 114150: One exact x-intercept of y= x^2+kx+1 is 3+2root2.What is the value of k ?
Click here to see answer by stanbon(75887) About Me 

Question 114154: y=-2x
Click here to see answer by MathLover1(20849) About Me 

Question 114170: What type of solution do you get for quadratic equations where D>0 ?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 114254: Solve.
4x squared = 13x + 12

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Question 114060: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 114342: There is a question close to this on the board but it is slightly different. Can you please help me.
Thank you.
Solve using the quadratic formula:
3x^2-2x=15x-10

Click here to see answer by stanbon(75887) About Me 

Question 114347: I am having a problem with this problem, can you please help clarify. Thank you so much.
Use quadratic formula to solve:
5x^2+5x+1= 0
Thank you in advance for your expertise.

Click here to see answer by solver91311(24713) About Me 
Question 114347: I am having a problem with this problem, can you please help clarify. Thank you so much.
Use quadratic formula to solve:
5x^2+5x+1= 0
Thank you in advance for your expertise.

Click here to see answer by MathLover1(20849) About Me 

Question 114148: A piece of cardboard is 4cm longer than it is wide. From each corner a 2cm square is cut out and the cardboard is then folded to form an open box. What are the dimensions of the cardboard if the box contains 64cm ^3 ?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 114437: Rita rows 12 km upstream and 12 km downstream in 3 hours. The speed of her boat in still water is 9 km/hr. Find the speed of the stream
Click here to see answer by stanbon(75887) About Me 

Question 114393: Suppose a rectangular movie screen has an area of 10416 square feet. Find the dimensions of the screen if it is 19 feet longer than it is wide.
THANKS!

Click here to see answer by bucky(2189) About Me 

Question 114515: Vertex (h,k) of the quadratic function f(x)=a(x-h)^+k is (1,2) and the y-intercept is (0,1).
a)Find the quadratic function
b)What is the maximum value of the function?

Click here to see answer by stanbon(75887) About Me 

Question 114385: Tickets to a school dance cost $4, and the projected attendance is 300 persons. It is further projected that for every $0.1 increase in ticket price, the average attendance will decrease by 5. At what ticket price will the receipts from the dance be $1218?
If there is more then one solution, separate your answers with commas .
So I've got the formula of:
(4+.10x)(300-5x)=1218
.50x2+10x-18=0
Now I'm stuck. Can someone please help?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 114541: The length of a golden retangle is approximately 1.6 times the width. Find the dimensions of a golden rectangle if its area is 9000m^2.
Click here to see answer by checkley71(8403) About Me 

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, 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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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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