Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 116895: I am in an online math class and have an ebook. I have tried to figure this out by using the animated help, video help, and the step by step but I still cant figure it out because I can not figure out how the step by step goes from one step to the next.
The problem is- f(x)=1/7x^2
It tells me to find the vertex and the equation of the line of symmetry. Then to graph the function.
Please assist me with this

Click here to see answer by checkley71(8403)

Question 116981: x squared+8x+25=o
choose one of the following as the answer
A)-4+6i, -4-6i
b)4+3i, 4-3i
c)4+6i, 4-6i
d)-4+3i, -4-3i
Click here to see answer by jim_thompson5910(35256)

Question 116988: Can you pleae assist me with my childs homework. I have forgotten how to solve this type of problem. Thank you very much.
The length of a rectangle is 1 cm longer than it width. If the diagonal of the rectangle is 5cm, what are the dimensions of the rectangle in centimeters?
Width=_______cm Length=________cm
Click here to see answer by jim_thompson5910(35256)

Question 117090: Divide: 5x^3-5x+1 by x-3
I tried factoring out the 5 and ended up with 5(x^2-x-3)+x as the answer
Am I anywhere close?????
Click here to see answer by jim_thompson5910(35256)

Question 117254: SOLVE AND GRAPH THE SOLUTION SET OF EACH OF THE FOLLOWING INEQUALITIES
7(x-3) > 5x - 14
Click here to see answer by jim_thompson5910(35256)

Question 117290: Find two consecutive positive intergers such that the sum of their square is 85.

Click here to see answer by checkley71(8403)

Question 117292: A garden area is 30ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft^2, what is the width of the path?
Click here to see answer by scott8148(6628)

Question 117315: Can you help me with this problem? A parabola has vertex (8,3) and one x-intercept. Determine the coordinates of the other x-intercept.
Click here to see answer by Fombitz(32388)

Question 117427: I am having some troubles with solving for the variable in equation
What I have so far is......
2(y-1)(y-)=4(y+1)(y+1)
2(y^2-y-y-1)=4(y^2+y+y+1)
2y^2-2y-y2-2=4y^2+4y+4y+4
2y^2-4y-2=4y^2+8y+4
But i can not get any further....can you please help
Thank you so much!!!!
Click here to see answer by josmiceli(19441)

Question 117535: How do you solve 2n^2-4n=6 and then put it into a table or graph?
Click here to see answer by checkley71(8403)

Question 117535: How do you solve 2n^2-4n=6 and then put it into a table or graph?
Click here to see answer by stanbon(75887)

Question 117534: How do you write and the f(x)=(x+5)(2x-9) equation in to standard form?
Click here to see answer by stanbon(75887)

Question 117534: How do you write and the f(x)=(x+5)(2x-9) equation in to standard form?
Click here to see answer by solver91311(24713)

Question 117553: How do you factor completely 8n^2-2?
Click here to see answer by edjones(8007)

Question 117555: How do I solve x^2+6x+4=0 in quadratc formula?
I think this is how to slove x= -6+or-√6^2-4(x)(4)/2(x)
-6+or-√36-4(x)(4)/2(x)
-6+or-√36-16/2(x)
-6+or-√20/2
Click here to see answer by jim_thompson5910(35256)

Question 117550: How do you rewrite the equation y=x^2+6x+4 in vertex form by using the concept of completing the sqaure.
Click here to see answer by edjones(8007)

Question 117549: How do you put 2n^2-4n-6=0 in to a graph or table . Round to the nearst tenth
Click here to see answer by jim_thompson5910(35256)

Question 117547: How do you factor 8x^3y-3xy^2=xy^4 step by step
Click here to see answer by MathLover1(20849)

Question 117633:
Write the equation of the line with x-intercept (�2, 0) and undefined slope.
Click here to see answer by checkley71(8403)

Question 117633:
Write the equation of the line with x-intercept (�2, 0) and undefined slope.
Click here to see answer by bucky(2189)

Question 117747: graph the exponential functions
a.)f(x)=2*(1/2)
b.)k(x)=3*(1/3)
c.)h(x)=3*(3)
d.)g(x)=5*(1.2)
Click here to see answer by josmiceli(19441)

Question 117748: sketch the graph of the following functions
f(x)=-2*(3)^x and g(x)=4*(1/3)^x
Click here to see answer by jim_thompson5910(35256)

Question 117839: factor 8x^3y-3xy^2+xy^4
Click here to see answer by jim_thompson5910(35256)

Question 117843: 8x^3y-3xy^2+xy^4 ok I am at the part were you have 8x^2-y(y^2-3)= 0 but I dont know the steps after that
Click here to see answer by stanbon(75887)

Question 117858: x2 - 3x =4
Click here to see answer by jim_thompson5910(35256)

Question 117911: The sum of a number and -7 is -12.
solve and check
Click here to see answer by MathLover1(20849)

Question 117840: How do you write f(x)=(2x+1)^2 in standard form
Click here to see answer by misscrt(37)

Question 117951: solve and check
80=10x
Click here to see answer by jim_thompson5910(35256)

Question 117952: solve and check
x-1=4
Thanks and happy holidays
Click here to see answer by jim_thompson5910(35256)

Question 117964: how would you graph the quadratic equation and graph it as a parabala? I can graph I know the -3 is the y intercept, but I am not quite sure how to do this one. Could I factor to get my points?
Click here to see answer by stanbon(75887)

Question 117245: I'm not exactly sure what section this is either. I'm realy sorry! But, if you don't mind, can you please help me with this one too?
f(x)= {-1 for 0< or equal to x<1
{-3 for 1< or equal to x<2
{-5 for 2< or equal to x<3 and so on...Graph f(x) for 0
Click here to see answer by Edwin McCravy(20054)

Question 117346: I have a maths c/w on Pythagorean triples (gcse level) and we are using the quadratic formula:
.
a + d (n-1) + 0.5 c (n-1) (n-2)
.
for the sequence of Pythagorean triples multiplied by 4.
where:
.
a = first term
d = first difference
c = second difference
.
length of middle side: 16, 48, 96, 160, 240
.
I have done so far:
.
a = 16
d = 32
c = 16
.
substitute:
.
16 + 32 (n-1) + 0.5 * 16 ( n-1) (n-2)
.
giving me:
.

.
simplified:
.

.
BUT when i am checking it against the third term (96) the 16 at the end of the equation is
left as extra and the answer I seem to get is 112 (an extra plus 16)
.
please help me urgently
Click here to see answer by bucky(2189)

Question 117155: how do you solve y=1/2(x-3)^2-5 ????????
Click here to see answer by MathLover1(20849)

Question 118188: It's a story where you are supposed to pull out information to build and a quadratic equation step-by-step, and then possible solve it. Here's the story;
"A retailer spent $48 to purchase a number of special mugs. Two of them were broken in the store, but by selling each of the remaining mugs for $3 above the original cost per mug, she made a total profit of $22. Construct an equation that will allow us to solve for the number of mugs, denoted by n, that were originally purchased."
Step 1) If the price for n mugs is $48, how can we express the cost per mug?
I figured it out to be: 48/n=y
Step 2) we are told that the retailer, in order to make a specific profit, sells the remaining mugs for $3 more than the original cost per mug. using this information, and your answer to step 1, how can we express the selling price per mug?
I figured it out as: n(y+3)=70, this is from cost $48 for all mugs plus the profit of $22.
Step 3) Since two of the mugs were broken in the store, how can we represent the number of mugs available for sale?
I figured it be: n-2
Step 4) Using your answers from step (2) and (3)construct an expression for the the amount of money made on the sale of the remaining mugs.
I figured that out to be: n-2+n(y+3)=70
Step 5) The profit on the mugs can be found by subtracting the cost of the mugs from the amount of money made on the sale of the mugs. Write an eqution that states this relationship between the money made, the cost, and the profit.
I know the equation has to equal -48+70=22, but how...
is it like: -48+(n-2)+n(y+3)=22
Then to top this off rewrite the equation that you wrote in step (5) in the standard form of a quadratic equation.
Please tell me if I'm on the right track, or at least help get to the track?
Click here to see answer by scott8148(6628)

Question 118217: Hello, I am having problems understanding the steps used to solve equations using the quadratic formula. Can you please show me detailed steps to understand how to solve this problem. All help is greatly appreciated, thank you.
My directions say to use the quadratic formula to solve.
3x^2 � 2x = 15x � 10
Thank you
Patti
Click here to see answer by jim_thompson5910(35256)

Question 118218: Hi, I am having some problems understanding the steps using quadratic formula. Can you please show me in detailed steps how to solve this problem.
x^2 � 3x � 23 = 5
My directions say to solve using the quadratic formula.
Thank you
Patti
Click here to see answer by jim_thompson5910(35256)

Question 118222: Can you please explain this to me?
Solve using the quadratic formula
3x^2 - 2x = 15x - 10
thank you
julie
Click here to see answer by jim_thompson5910(35256)

Question 118231:
Click here to see answer by jim_thompson5910(35256)

Question 118246: 1- Find the roots- 1/x+4 - 1/x-7= 11/30, x is not equal to -4,7.
2- Sum of the areas of two squares is 468m2. If the difference of their perimeters is 24m, find the sides of the two squares.
3-The sum of the reciprocals of Rehman's ages(in years) 3 years ago and 5 years from now is 1/3. Find his present age.

Click here to see answer by stanbon(75887)

Question 118245: a>
Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its lenght and breadth.
b>
The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48. Determine their present ages.
c>
Is it possible to design a rectangular park of perimeter 80 m and 400 m2? If so, find its lenght and breadth.

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

Question 118280: 14a2-15a+4
Click here to see answer by stanbon(75887)

Question 118283: Find the value of c that will make;
9x2+30x+c a perfect square trinomial
thank -you please help
Click here to see answer by stanbon(75887)

Question 118286: jessie kicked a soccer ball into the air with an initial upward velocity of 40 feet per second. The hieght (h) in feet of the ball above the ground can be modeled by h=-16t2+40t,where t is the time in seconds after jessie kicked the ball. find the time it takes the ball to reach 25 feet above the grond.
Click here to see answer by jim_thompson5910(35256)

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