Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 77205: D=C-s/n (for s)Depreciation
Hints:
Isolate s on one side of the equals sign.
Your answer will be a formula, not a number.

Click here to see answer by stanbon(75887)

Question 76414: The demand and supply equations for a certain item are given by
D = 5p + 40
S= -p^2 + 30p -8
Find the equilibrium Price.
The answer I got for this one was $1.29. Is this correct? The answer options to this question are:
A)$1.29
B)$1.43
C)$1.57
D)$1.71
Thanks for all your help with this.

Click here to see answer by stanbon(75887)

Question 77319: Is (SQRTofX)^2=X an identity (true for all nonnegative values of x)?
Answer:
Explain your answer in this space.

Click here to see answer by jim_thompson5910(35256)

Question 77138: Rose�s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and the area is 224 m2, find the length of the other base.
Area of trapezoid: A=1/2h(B+b) A=(1/2)h(B+b)

Hints:
B and b are 2 different variables. B is not equal to b
B and b are both bases of the trapezoid. (A trapezoid has 2 bases)
B is 20 m; you must find b.
You may want to use your answer to question 24 above to solve this problem, BUT IT IS NOT ACTUALLY NECESSARY; it just makes it slightly easier.
Be sure to check your answer. Put your answer back into the formula for the area of a trapezoid. Does the garden area still equal 224 m2?

Click here to see answer by rajagopalan(174)

Question 77209: Rose�s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and the area is 224 m2, find the length of the other base.
Area of a trapezoid: A=1/2h(B+b)
Hints:
B and b are 2 different variables. B is no = to b
B and b are both bases of the trapezoid. (A trapezoid has 2 bases)
B is 20 m; you must find b.
You may want to use your answer to question 24 above to solve this problem, BUT IT IS NOT ACTUALLY NECESSARY; it just makes it slightly easier.
Be sure to check your answer. Put your answer back into the formula for the area of a trapezoid. Does the garden area still equal 224 m2?

Click here to see answer by rajagopalan(174)

Question 77170: Problem:
Rose�s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and the area is 224 m2, find the length of the other base.
Area of a trapezoid= A=1/2h(B+b)
Hints:
B and b are 2 different variables. B does not = b
B and b are both bases of the trapezoid. (A trapezoid has 2 bases)
B is 20 m; you must find b.
You may want to use your answer to question 24 above to solve this problem, BUT IT IS NOT ACTUALLY NECESSARY; it just makes it slightly easier.
Be sure to check your answer. Put your answer back into the formula for the area of a trapezoid. Does the garden area still equal 224 m2?

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

Question 77176: Solve for x and check the result
6x-1/5 - 2x/3 = 3
(6x-1 over 5) - (2x over 3) = 3

X=

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

Question 77176: Solve for x and check the result
6x-1/5 - 2x/3 = 3
(6x-1 over 5) - (2x over 3) = 3

X=

Click here to see answer by checkley75(3666)

Question 77398: it is estimated that the earth is losing 4000 species of plant and animals every year if s represents the number of species living last year how many species are on eath this year
Click here to see answer by stanbon(75887)

Question 77214: -4(2x-3)= -8x + 5
Click here to see answer by katz(9)

Question 77172: Solve each literal equation for the indicated variable.
2x +3y = 6 (for x) linear equation
Hints:
Isolate x on one side of the equals sign.
Your answer will be a formula, not a number.

Click here to see answer by katz(9)

Question 77444: Can someone please help me with this? Thanks

Graph the following equations and find:
The y-intercept.
The x-intercepts, if any.
The vertex.
The line of symmetry.
Solve for the y-intercept, x-intercepts (if any), the coordinates of the vertex, and the line of symmetry using the methods shown in the lesson.
y = x2 + 7x + 12

y = x2 - 8x + 6

y = - x2 + 6x - 5

Click here to see answer by stanbon(75887)

Question 77464: find the positive root of the equation 4x^2-36=0
Click here to see answer by prabhjyot(165)

Question 77475: For the function y= x2 - 6x + 8, put the function in the form y = a (x - h) squared + k. I was able to solve it by factoring and using the quadratic formula, but I can't figure out how to use this formula.
Click here to see answer by jim_thompson5910(35256)

Question 77506: x^2+6x=7
Solve by completing the square to obtain exact solutions.
Click here to see answer by jim_thompson5910(35256)

Question 77570: Write each equation in the form y = a(x-h)2 + k:
y = 2x2 + 20x + 50
Click here to see answer by jim_thompson5910(35256)

Question 77509: Determine which of the given points lie on the line determined by the equations in Exercises 33 and 34.
33.4x- y = 7
a. (2,1)
b. (3,5)
c. (1,-3)
d. (0,7)

34. 2x divided 5y=6
a.(1/2, 1)
b.(3,0)
c.(0, 6/5)
d.-2,2)

Click here to see answer by checkley75(3666)

Question 77542: An open-top box is to be constructed from a 4 foot by 6 foot rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.

b) Graph this function and show the graph over the valid range of the variable x..

c) Using the graph, what is the value of x that will produce the maximum volume?

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

Question 77604: will someone help me on how to get the particular equation for the quadratic function and will you please show specific step.
The sluggers were up to bat in the bottom of the ninth inning in a game against
the ditchers. Theo Slam was up to bat. As he plugged the ball toward left
field, it rose from 3 to 10 to 50 feet as the horizontal distance from home
plate increased from 0 to 2 to 14 feet. Assume that the vertical distance
varies quadratically with the horizontal distance.
Can someone please help me!!!!!!!!!!!!!!''.

Click here to see answer by bucky(2189)

Question 77645: How do I factor quadratic trinomials?
Click here to see answer by jim_thompson5910(35256)

Question 77872: The base of a triangle is 3 times its height the area is numerically 6 times its height. Find the height base and area of the triangle.

Click here to see answer by ptaylor(2198)

Question 77963: A rectangular photograph is mounted on a frame that is one inch wide. If the photograph is twice as long as it is wide , anad the area of the phot and the fram together is 60 inches squared, what are the dimensions of the photo
Click here to see answer by checkley75(3666)

Question 77976: How can you factor this trinomial: 2x2+5x+2 the 2 after 2x is squared.
Click here to see answer by jim_thompson5910(35256)

Question 77870: The height of an object dropped from a 205 feet tall building is given by h = -16t squared + 205. When will the object be 36 feet above the ground
Click here to see answer by ankor@dixie-net.com(22740)

Question 78020: Can someone help me with this problem i have no idea where to even start.
The height "h" in feet of an object after "t" seconds is given by the function
h = -16t^2+70t+8
How long will it take the object to hit the ground? Round the answer to the nearest thousandth.
Click here to see answer by jim_thompson5910(35256)

Question 78027: Solve for y
x+5y=15
Hint: Isolate y on one side of the equal sign.
Click here to see answer by stanbon(75887)

Question 78029: If the perimeter of a rectangle is 36 ft and the width is 8 ft, find its length. [Hint: The perimeter of a rectangle is given by P = 2L + 2W.]
The length of the rectangle is________ft

Click here to see answer by don vito(18)

Question 78031: The base of an isosceles triangle is 14 in. less than the length of the equal sides. If the perimeter of the triangle is 43 in., find the length of each of the sides.
Hint: An isosceles triangle has 2 sides of equal length. The third side is different.
Hint: To find the perimeter of a triangle, add all 3 sides.
Hint: Be sure to check your answer. Do all three sides add up?
Answer: The length of the three sides of the triangle are ________ inches, ________ inches, and __________ inches.

Show work:

Click here to see answer by Edwin McCravy(20054)

Question 78037: For a chemical reaction, temperature is a function of time. For Denver Poweroxide this function is T = -t^2 + 7t + 8 (T is degrees Fahrenheit and t is seconds). How long will it take for the temperature to reach zero? Solve by graphing.
I got: 1 second. Is this correct?
Thanks~
Click here to see answer by stanbon(75887)

Question 78025: need the number for x for finding a parabola question is y=(x-2)2power hurry please ISBN 9739619228 sorry not sure of number
Click here to see answer by stanbon(75887)

Question 78038: In 1999, 18.2 million households had a dvd player. If this populaion grows at 25% annually, how many households will have a dvd player in 2004 (5 years later)? A= P(1+r)^t
I got: 55.54 million. Is this correct?
Thanks~
Click here to see answer by stanbon(75887)

Question 78019: Graph the relation and state its domain and range.
x=y^2-1
Click here to see answer by stanbon(75887)

Question 78016: Winston can mow his dad's lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone?
Click here to see answer by stanbon(75887)

Question 78017: Determine whether the relation is a function.
x^2=1+y^2
Click here to see answer by jim_thompson5910(35256)

Question 78015: Find all real or imaginary solutions to the equation.
x-1/x+2=2x-3/x+4
Click here to see answer by jim_thompson5910(35256)

Question 78063: In this question the paper gives you a description and you're to put it into a quadratic equation.
The sum of the square of a number and 4 times the number is 12.
The equation I got was x^2+4x=12 I'm not sure if it's right but that's what I got. When I went to solve it though I didn't get what my teacher told me I would get, I didn't get two numbers in the end because the square root of the number I got was a decimal and she said we would get whole numbers. Can anyone help?
Click here to see answer by jim_thompson5910(35256)

Question 78121: List the terms and coefficients
8x3- 4x2 + 3
(the 3 and 2 are exponents)
Click here to see answer by 303795(602)

Question 78122: Write using positive exponents, and simplify if poddible.
(-3x) -2
(the -2 is an exponent)
Click here to see answer by 303795(602)

Question 78119: what is the degree of the polynomial x12 - 5x4 ?
Click here to see answer by 303795(602)

Question 78127: Find all real or imaginary solutions to each equation. Use the method of your choice.
w^2=-225
and
3v^2+4v-1=0
Click here to see answer by jim_thompson5910(35256)

Question 78141: x^2-3x = 4x -1 I can't do the problems that do not have an = 0. I tried to do this by putting the entire equation on the left of the =, and came up with x^2 -7x +1 = 0. But with this equation, I cannot factor it out. Please help.

Click here to see answer by jim_thompson5910(35256)

Question 78137: The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures √6m. Find the width and height.
Click here to see answer by jim_thompson5910(35256)

Question 78136: Solve each equation by the method of your choice.
2y^2-3y-6=0
and
(x-10)(x-2)=-20
Click here to see answer by checkley75(3666)

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