Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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Question 148532: Solve the inequality
-9/13 is less than -6/13x
Click here to see answer by jim_thompson5910(35256)

Question 148535: A student has scores of 75, 79, and 81 on three government exams. What score does she need on a fourth exam to give her an average of 80 or better. Let x represent the fourth test score..
Click here to see answer by jim_thompson5910(35256)

Question 148569: How do you graph and inequality with an exponent or an absolute value? for example y > ( greater or equal to)x2(squared) - 5 ( sorry for the parentheses
- but i don't have the right buttons.)

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

Question 148849: Determine the y-intercept of the given function:
f(x)=-2(x-2)(x-1)^2(x+2)^3
a). (0,-32)
b). (-32,0)
c). (32,0)
d). (0,32)
Click here to see answer by Alan3354(69443)

Question 148849: Determine the y-intercept of the given function:
f(x)=-2(x-2)(x-1)^2(x+2)^3
a). (0,-32)
b). (-32,0)
c). (32,0)
d). (0,32)
Click here to see answer by jim_thompson5910(35256)

Question 142364: find the equation of the line perpendicular to the line x=4 and passing through the point (4,2).
Click here to see answer by Alan3354(69443)

Question 148852: Use the intermediate valve theorem to determine if the polynomial f(x)=x^3-4x^+3x+2 has a zero Ci in the interval [-3,4].
a). No because f(-3)*f(4)<0
b). Yes because f(-3)*f(4)<0
c). Yes because f(-3)*f(4)>0
d). No because f(-3)*f(4)>0
Click here to see answer by jim_thompson5910(35256)

Question 148855: Graph the polynomial function:
f(x)=x^3+4x^2+x-6
Thank you for your time and effort, it is greatly appreciated
Click here to see answer by jim_thompson5910(35256)

Question 148906: How do you figure out about identifying graph equations with intercepts. Such questions as 6x + 5y + 7 = 0
Click here to see answer by Alan3354(69443)

Question 148924: how do i get campare and contrast the graphs on
y= (x+1)^2
y= (x+2)^2
y=(x+3)2^
Click here to see answer by stanbon(75887)

Question 148924: how do i get campare and contrast the graphs on
y= (x+1)^2
y= (x+2)^2
y=(x+3)2^
Click here to see answer by jojo14344(1513)

Question 148950: Find the x- and y-intercepts of x + 3y + 2 = 0 and use these intercepts to graph the equation.
Click here to see answer by Alan3354(69443)

Question 148949: Sheri drove southeast from Albuquerque to Roswell and then south to Carlsbad. She averaged 75 mph along the route from Alburquerque to Roswell and averaged 70 mphfrom Roswell to Carlsbad. She covered the entire 220 miles in 3 hours. How long did she take to drive from Alburquerque to Roswell?
Click here to see answer by mangopeeler07(462)

Question 148966: The time to drive from Gotham City to Farmville varies inversely with the average speed. If the drive takes 6.8 hours at 40 mph, then how long will it take at 61 mph? Round to the nearest tenth of an hour.
Click here to see answer by mangopeeler07(462)

Question 149220: What is the equation of a line that passes through the point (14,-9)and has a slope of Zero?
Click here to see answer by mangopeeler07(462)

Question 149228: a triangle has an area a=1/2bh. if the area o a triangle is 6sq. cm , find the solution set of all possible whole number values for b & h.
Click here to see answer by nerdybill(7384)

Question 149234: Solve the inequality (x + 3)(x + 1)(x � 5) < 0 and write the solution set both in interval notation and in set notation. Show work/explanation.
Click here to see answer by jim_thompson5910(35256)

Question 149236: Graph
Click here to see answer by jim_thompson5910(35256)

Question 149237: Given ,

A) Find the domain.
B) Determine the vertical asymptote(s).
C) Determine the horizontal asymptote or oblique asymptote.
D) Find the y-intercept.
E) Find the x-intercept(s).
Click here to see answer by jim_thompson5910(35256)

Question 149240: Solve the inequality
Click here to see answer by jim_thompson5910(35256)

Question 149241: if p & q are positve single digit numbers find all possible solutions of 3p-4q=4
Click here to see answer by ptaylor(2198)

Question 149264: Can you find the slope and y-intercept of the line?
4x+3y=7-6y
Click here to see answer by Fombitz(32388)

Question 149294: i need help understanding step by step with these problems they are all odd in my book answers are in the back of book i would like to know how to solve them not just the answer. thanks a bunch.
(#33-47) Sketch the graph of the function, not by plotting points,but by starting with teh graph of a standard function and applying transofrmation.
#33....f(x)= (x-2)^2 (the answer is a parabola going upward)
#35....f(x)= - (x+1)^2 (the answer is a parabola going downward)
#37....f(x)= x^3 +2 (the answer is a wiggly line from neg side to positive side like a snake)
#39....y = 1 + sqrt of (x)(the answer is half of a line on the positive side)
#41...y = (1)/(2) squaroot (x+4) then minus 3 (the answer is a closed circle going from negative side to negative side on the positive side)
#43....y = 5 + (x +3)^2 (the answer is a parabola on the negative positive side)
#45...y = /x/ - 1 (the answer is shape like a "v")
$47...y = /x + 2 / +2 (the answer is shape like a "v" just not touching the (0,0))
Click here to see answer by stanbon(75887)

Question 149239: 2x=y+1
2x-y=5
solve by graphing
Click here to see answer by checkley77(12844)

Question 149232: if p & q are positve single digit numbers find all possible solutions of 3p-4q=4
Click here to see answer by checkley77(12844)

Question 149231: if p & q are positve single digit numbers find all possible solutions of 3p-4q=4
Click here to see answer by checkley77(12844)

Question 149454: 1)line l goes through (1,3) and is parallel to the line through (4,3) and (-3,1) FInd the slope of l.
the answer I got was 2/7 is this correct?

2)line l goes through the point (5,-2) and is perpendicular to the line through (-2,1)and (-4,-2) Find the slope of l
the answer I got was -3/2 is this correct?
3)Write the equation y=1/3x-2 in standard form using only integers and a positive coefficent for x
The answer I got was x+3y=6 is this correct?

4) A Line that goes through (-1,-3)and has a slope of 4.
My answer is y=4x-3 is this correct?
Click here to see answer by jim_thompson5910(35256)

Question 149473: I had a line that goes through (12,-9) and has a slope of -1/3 would it be y=-1/3x+5
Click here to see answer by jim_thompson5910(35256)

Question 149477: How do I graph ?
Click here to see answer by jim_thompson5910(35256)

Question 149486: Melissa plans to ship a computer in a cubic box that measures x inches on a side. She later determines that her shipping cost will be less if she uses a retanguar box that is 3 inches shorter and 5 inches longer than the cubic box. Write an equation v(x) for the volume of the new box.
Click here to see answer by jim_thompson5910(35256)

Question 149487: expand the bionomial (2x-3)^3
Click here to see answer by jim_thompson5910(35256)

Question 149488: Find the quotient and the remainder

(x^4-2x^2+3)/(x+1)

Click here to see answer by jim_thompson5910(35256)

Question 149491: Factor the polynomial below completely, given the bionomial folowing it is a factor of thepoynomial x^3-4x^2+x+6, x+1

Click here to see answer by jim_thompson5910(35256)

Question 149494: A Painting canvas has a length 8 inches longer than its width. if the area is 84in^2 what are the dimensions of the canvas
Click here to see answer by jim_thompson5910(35256)

Question 149527: "Explain in your own words(at least 50 words) why the line x = 4 is a
vertical line?"
I think i know the answer i just have a hard time explaining this can you help me?
Click here to see answer by jim_thompson5910(35256)

Question 149585: find the equation of the line having the given slope and containing the given points.
m = 3over4, (2,-4)
Click here to see answer by Fombitz(32388)

Question 149741: 1. Given the polynomial f(x) = 4x^4 + 5x^3 + 7x^2 - 34x + 8

(a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial.

(b) Find all of the zeros of the given polynomial. Show the procedure

Click here to see answer by jim_thompson5910(35256)

Question 149684: Tim works at a bakery and can prepare a birthday cake in 4 hours or less. It takes him 5 hours or less to prepare a wedding cake. If Tim works a 40-hour week , and if he must bake more birthday cakes than wedding cakes, what would the graph look like of the number of each type of cake time can bake per week.
Click here to see answer by ankor@dixie-net.com(22740)

Question 149775: The budget deficit for the city of Gotham can be modeled by the equation
D = 1.2n + 13.5 where n is the number of years since 1990 and D is the deficit in millions of dollars.
correctly display the graph of the equation?
Click here to see answer by nerdybill(7384)

Question 149774: The budget deficit for Central City can be modeled by the equation
D = 0.5n + 6.5 where n is the number of years since 1990 and D is the deficit in millions of dollars.
Graph the equation for n ranging from 0 to 20.
Click here to see answer by josmiceli(19441)

Question 149824: I need help with slope and y intercept form.
Solve 3x+4y=8 for y then determine what is the slope and y intercept of this?
Click here to see answer by nerdybill(7384)

Question 149829: Solve the inequality x^2-x-6>0
Click here to see answer by jim_thompson5910(35256)

Question 149830: 2.) Compound interest. Suppose that $750 is invested at 7% interest, compounded semiannually.
A.) Find the function for the amount to which the investment grows after t years.
B.)Find the amount of money in the account at t=1, 6,10,15, and 25 yr

Click here to see answer by jim_thompson5910(35256)

Question 149847: what is the slope of the line that passes through the following pairs...
(-2/3, 6) (3, 9)
I know the problem is M = 9-6/3-(-2/3) Im stuck after M = 3/3-(-2/3)....can someone help me find the slope
Click here to see answer by scott8148(6628)

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