Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 79512: Problem:
In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
Hint: This is just like other linear equations. Pretend that C is y.
y = mx + b

Click here to see answer by stanbon(57214)

Question 79511: Problem:
Write the equation of the line L satisfying the given geometric conditions.
L has y-intercept (0, 2) and is perpendicular to the line with equation

Click here to see answer by stanbon(57214)

Question 79510: Problem:
Driving down a mountain, Tom finds that he has descended 1800 ft in elevation by the time he is 3.25 mi horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.
Hint: Draw a picture of the mountain. Include Tom's starting point and Tom's ending point.
Hint: You can't compare miles and feet. You can compare miles and miles, or feet and feet.
Hint: Should your slope be positive or negative?

Click here to see answer by stanbon(57214)

Question 79509: Problem:
Write the equation of the line with the given slope and y-intercept. The graph the line using the slope and y-intercept.
Slope:-3/4 ; y-intercept: (0, 8)
You must show a graph to earn credit for this question.

Click here to see answer by stanbon(57214)

Question 79514: Problem:
Write the equation of the line L satisfying the given geometric conditions.
L has y-intercept (0, 2) and is perpendicular to the line with equation
2x-3y=6

Click here to see answer by stanbon(57214)

Question 79588: The highest dive in Olmpic Games is from a 10-meter platform. The height in meters of a diver t seconds after leaving the platform can be estimated by the equation h=10-4.9t^2
a. make a table of the relationship between time and height.
How do I find time?
Click here to see answer by stanbon(57214)

Question 79629: how do you sketch a graph of (i) f(x)= 2\x
(ii) g(x) = x
(iii) h(x) = 2x\2
Click here to see answer by Edwin McCravy(8879)

Question 79679: The square of a number decreased by 2 is equal to the negative of the number. Find the number.
Click here to see answer by ankor@dixie-net.com(15622)

Question 79684: How do you do the following?
x2-7x+10=0
x2+5x+6=0
x2-3x-4+0
y2+2y-8=0
Click here to see answer by checkley75(3666)

Question 79664: Thank you all for helping, here is my question.
Explain how to complet the square for a binomial. Use x^2 + 6x to illustrate your explaination.
Click here to see answer by ankor@dixie-net.com(15622)

Question 79812: Write the equation of the line passing through (0, 9) and (1, 9).
Your equation should be in the form y = mx + b

Click here to see answer by rapaljer(4667)

Question 79807: Write the equation of the line that passes through point (0, –9) with a slope of -6/7 .
Your equation should be in the form y = mx + b

Click here to see answer by rapaljer(4667)

Question 79820: A line passing through (4, 16) and (5, y) is parallel to a line with slope
–10. What is the value of y?
Click here to see answer by tutor_paul(490)

Question 79826: cn someone please help me find the x intercept?
y=x^2+x-6
Click here to see answer by doctor_who(15)

Question 79830: I am not sure what category this problem should be under, please help!
Hazel has a screen door whose height is 4 feet more than its width. She wishes to stabilize the door by attaching a steel cable diagonally. If the cable measures √194/2 ft, what are the dimensions of the door?
Click here to see answer by bucky(2189)

Question 79889: Can you please help Factor the Following Quadratic 2a^2-32

THANKS
Click here to see answer by checkley75(3666)

Question 79888: 4m^4-p^2 please help me Factor that Quadratic problem
Click here to see answer by checkley75(3666)

Question 79809: A line passing through (4, 16) and (5, y) is parallel to a line with slope
-10. What is the value of y?
Answer: The value of y is (6)
Click here to see answer by checkley75(3666)

Question 79916: Find the slope and the y-intercept.
y = 7x

Click here to see answer by markburke(3)

Question 79940: An airplane covered 20 miles of its route while decreasing its altitude by 47,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. [Hint: 1 mi = 5280 feet.]
Hint: Should the slope be positive or negative?
Answer: The slope of the airplane's descent is ______________

Click here to see answer by vertciel(183)

Question 79946: 1. If y = a(x - 3)^2 + c and y = (2x - 3)(2x + b) represent the same quadratic function, find a, b, and c. (There are two possibles methods: i) expand both or ii) use the symmetry of the roots around the vertex.)
- I expanded both equations but I could not simplify the terms.
----
Hello there,
Thank you in advance for your help. For the following problem, I was able to solve it using method 2, but I do not know how to solve it using method 1.
Best,
James
Click here to see answer by Earlsdon(6287)

Question 79942: Find the slope of any line parallel to the line through points (11, 7) and (8, 6).
Click here to see answer by vertciel(183)

Question 79923: identify the axis of symmetry, create a suitable table of values, and sketch the graph (including the axis of symmetry).
y=x^2-5x+3
Click here to see answer by vertciel(183)

Question 80009: Can you please help me write a quadratic function with this set of data?
(0,254)(4,234)(8,235)(12,239)(16,255)
Thank you
Click here to see answer by Edwin McCravy(8879)

Question 80039: Hi I hope you can help:
Solve 5x(squared)-3x+2=0 by using quadratic formula.
Click here to see answer by sofiyacherni(99)

Question 80039: Hi I hope you can help:
Solve 5x(squared)-3x+2=0 by using quadratic formula.
Click here to see answer by checkley75(3666)

Question 80023: I need help writing a quadratic function using 3 out of these 5 points on a parabola. Can you help me please? (0,254)(4,234)(8,235)(12,239)(16,255)
Thank You
Click here to see answer by stanbon(57214)

Question 79933: i need to Graph using the intercept method: 2x – 5y = 10. please show me how to graph this!
Click here to see answer by checkley75(3666)

Question 80077: Can someone help me please I do not understand this any portion of it can someone help me please? identify the axis of symmetry, create a suitable table of values, and sketch the graph (including the axis of symmetry).
y=x^2-5x+3
Click here to see answer by stanbon(57214)

Question 80087: If you have 188 feet of fencing to enclose a rectangular region. What is the maximum area? Thanks for the help!!!!!
Click here to see answer by stanbon(57214)

Question 80103: Please HELP me with this Quadratic Function. Sketch the graph of
f(x)=-x2+6x-8. Indentity the vertex and x-intercepts.
f(x)=-x2+6x-8
=-(x2-6)-8
=-(x2-6x+9-9)-8 (I don't understand how you get 9.It said to Factor -1 out of x-terms. I get stuck at that point. I know how to graph it.)

Click here to see answer by jim_thompson5910(28476)

Question 80089: can some one help me with this i have never seen this before and i am very lost and confused.
identify the axis of symmetry, create a suitable table of values, and sketch the graph (including the axis of symmetry).
y=-x^2+6x-2
Click here to see answer by jim_thompson5910(28476)

Question 80176: Write each expression as asingle function or a constant
(sin theta)(csc theta)
Click here to see answer by stanbon(57214)

Question 80179: If a rocket is fired at an initial velocity of 350 meters per second, what is the maximum height it will atain and after how many seconds will it hit the ground? My teacher left me with this equation: h= ho+vot-1/2gt^2 where h= ending height, ho= starting height, vo= initial velocity, and g is gravity (9.8 meters per sec).
Click here to see answer by stanbon(57214)

Question 80192: If the discriminat is negative, would this be a true statement?
The discriminant is negative, so the quadratic has no real-valued zeroes and therefore no solution.
Click here to see answer by vertciel(183)

Question 80191: Determine the number of solutions for the following equation:
x^2 - 4x + 4 = 0
Should you say there are 2 identical solutions or only 1 solution?
Click here to see answer by vertciel(183)

Question 80194: n-5/6n-6 = 1/9 - n-3/4n-4
I tried to my best to type the fractions so I hope this makes sense. Can you help me solve this?
Click here to see answer by stanbon(57214)

Question 80194: n-5/6n-6 = 1/9 - n-3/4n-4
I tried to my best to type the fractions so I hope this makes sense. Can you help me solve this?
Click here to see answer by Edwin McCravy(8879)

Question 80193: n-5 1 n-3
---- = --- - ----
6n-6 9 4n-4
I tried to my best to type the fractions so I hope this makes sense. Can you help me solve this?
Click here to see answer by ankor@dixie-net.com(15622)

Question 80201: Ax^2 +Bx+C=0
Question:this is the standad form of a quadratic, follow the steps for completeing the square and see what you get.
I don't even know where to start!!
Click here to see answer by Earlsdon(6287)

Question 80239: Number problems. Find two consecutive positive integers such that the sum of
their squares is 85.
thanks
Click here to see answer by ankor@dixie-net.com(15622)

Question 80241: Use the quadratic formula to solve each of the following quadratic equations.
3x^2-2x+1=0
thank you!
Click here to see answer by jim_thompson5910(28476)

Question 80240: Use the quadratic formula to solve each of the following quadratic equations.
2x^2-5x=3
thank you
Click here to see answer by checkley75(3666)

Question 80235: Solve each equation for x
x^2+4x+4=7
thanks
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