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

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Question 1030765: how do i solve:
if y=2 2/3 when x=1/4 find y when x=1 1/8
im not sure what category direct variation is under but some help would be great thank you :)
Click here to see answer by Cromlix(4381)

Question 1030771: Find the slope of the line.
http://i.imgur.com/FHTGG7f.png
A. m = 3
B. m = 1/3
C. m = -1/3
D. m = -3
Click here to see answer by Fombitz(32388)

Question 1030849: determine whether the graphs of the pairs of lines are parallel
x+8=y
y-x= -4
Click here to see answer by ikleyn(52778)

Question 1030849: determine whether the graphs of the pairs of lines are parallel
x+8=y
y-x= -4
Click here to see answer by fractalier(6550)

Question 1030857: What is the x,y coordinates of:
y=x^2+4x+4 y=-2x-5
Click here to see answer by fractalier(6550)

Question 1030937: 13-(2c+2) >or= 2(c+2)+3c
How do you write this in set builder and interval notation
Click here to see answer by Theo(13342)

Question 1030966: Level 3: My little sister, Savannah, is three years old. She has a piggy bank that she wants to fill. She started with five pennies and each day when I come home from school, she is excited when I give her three pennies that are left over from my lunch money. I�m more sophisticated than my little sister so I save my money in a bank account that pays me 3% interest on the money in the account at the end of each month. (If I take my money out before the end of the month, I don�t earn any interest for the month.) I started the account with $50 that I got for my birthday. Create an equation that models each situation, determine if it is linear, quadratic, or exponential and then describe whose money will grow the fastest.

Click here to see answer by stanbon(75887)

Question 1031048: Triangle- JKL has vertices J(10,5), K(2,8), and L(4,9). It is translated right 5 units and up 4 units. What are the coordinates of J,K, and L?
Click here to see answer by stanbon(75887)

Question 1030968: Level 3: Three teachers have provided you with an equation that models their salaries in million of dollars each year.
Teacher A: A(x) = 4x + 50
Teacher B: B(x) = 2x2 + 31
Teacher C: W(x) = 2x - 5

During which years does Teacher A make the most money? Between what two years?
Click here to see answer by LinnW(1048)

Question 1031335: Y=4X-2
Click here to see answer by Alan3354(69443)

Question 1031388: Consider the function y=2x^2 - 12x + 22. you are required to show the effect of of each of the values of "a", "k" and "c" for the form y = a(x-k)^2 + c)by drawing graphs starting with y=x^2. This answer must include Algebraic manipulation to complete the square and change the form of the function. Four graphs including X62 on one set of axes to illustrate the effect of each of the values of the parameters "a,"k"and "c"
Click here to see answer by josgarithmetic(39617)

Question 1031426: the question concerns the graph of the function f(x)=[x-3]+2
1. I need to explain how the graph of f can be obtained from the graph of y=[x] by using appropriate translation
2. what is the image set of the function f, in interval notation?
I've managed to plot the graph and concluded f(x) = -1+x but otherwise I'm completely stumped.
If anyone can help me, I will be very grateful. Would appreciate workings out, so I can understand future questions.
Many Thanks
Karen
Click here to see answer by Theo(13342)

Question 1031387: Consider the graph Y=ax^2+c where "a" and "c" can be any real number.
what effect does changing the value of "a" and "c" have on the axis of symmetry, the turning point , the x and y intercepts the shape and of the curve and its concavity. You must present your findings for each set of specific values and generalise the effects in terms of a and c. Thankyou very much

Click here to see answer by Fombitz(32388)

Question 1031550: The following set of points belong to a specific function: {(-3,0)(-2,4), (-1,0 ),(0,-6),(1,-8), (2,0),(3,24)} Based on the set of points answer the following questions:
a)What type of function does the set of points produce? Justify your answer.
b)Write an equation for this function based on the set of points that have been given.

Click here to see answer by stanbon(75887)

Question 1031551: I AM KIND OF STUCK IN THIS QUESTION CAN SOMEONE PLEASE HELP ME DETAILED
a)Create a simplified function that represents the sum of an unknown positive number x and its reciprocal.
b)For what whole number is the sum of the number and its reciprocal the smallest? In your solution, you may want to include a graph the function.

Click here to see answer by stanbon(75887)

Question 1031553: can somone kind enough help me with these true and false questions please and thank you
A)All polynomial functions that are members of the same family will have the same x-intercepts.(T/F)
B)An even function is symmetrical about the origin(T/F)
C)f(x)=1/(x-5)^2 is always positive (T/F)
D)f(x)--> +infinity as x-->2- for the function f(x)=1/3x-6 ? (T/F)
Click here to see answer by solver91311(24713)

Question 1031650: What is the graph of y=9^x
Click here to see answer by Alan3354(69443)

Question 1031657: Which of the following describes the transformations that are applied to sketch the graph of
f(x)=2+e^x-7
A. Shift left 7 and down 2
B. Shift left 7 and up 2
C. Shift right 7 and up 7
D. Shift left 2 and down 7
E. Shift right 7 and up 2
F. None of the above
Click here to see answer by josmiceli(19441)

Question 1031661: Which of the following points is on the graph of f?
f(x)=(4/3)^x
A. (4, 3/4)
B. (4, 81/256)
C. (-4, 81/256)
D. (-4, 1/4)
E. (-4, 256/81)
F. None of the above.

Click here to see answer by Fombitz(32388)

Question 1031653: 1. Which of the following points is on the graph?
f(x)=(4/3)^x
A. (4, 3/4)
B. (4, 81/256)
C. (-4, 81/256)
D. (-4, 1/4)
E. (-4, 256/81)
F. None of the above

Click here to see answer by Fombitz(32388)

Question 1031856: 2x+y=5 how do i do in slop intercept and graph ??

Click here to see answer by stanbon(75887)

Question 1030493: The slope of the line 3x - y = 4 between x = 3 and x = 6 is 3. What is the slope between the interval x = 12 and x = 15?
Click here to see answer by fractalier(6550)

Question 1031909: Create equations in two or more variables to represent relationships between quantities. (show work)
8. A line passes through the points (3, �3) and (4, �2). Write the equation of the line in the following 3 forms: Point-Slope Form, Slope-Intercept Form, and Standard Form.
Click here to see answer by josgarithmetic(39617)

Question 1031922: y=x^2-6x+7
Click here to see answer by Alan3354(69443)

Question 1031934: f(x)= x +5/ x^2 +4x- 32 graph the following rational function labeling all asymptotes and intercepts for full credit .
Click here to see answer by josgarithmetic(39617)

Question 1031957: 1. Let f(x) = 2x^2 − 8x − 7.
What is the quadratic in vertex form that is y = a(x − h)^2 + k
for some constants a, h, and k). Use the vertex form to locate the x intercepts of the function. (without the quadratic formula.) Sketch the graph of f, showing all important features. Solve f(x) > 0.

Click here to see answer by josgarithmetic(39617)

Question 1031981: 2x-6y=6 sope int
graph
Click here to see answer by Alan3354(69443)

Question 1031999: Y=9x+1
(X,y)= (0,1)
(X,Y) = (-2,?) this one
(X,Y) = (2,?) this one
Click here to see answer by solver91311(24713)

Question 1032115: Find the equation of the line that has a slope of 4 and y intercept of 2
Click here to see answer by Edwin McCravy(20054)

Question 1032205: i need help on Graphing each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression.
Click here to see answer by Alan3354(69443)

Question 1032206: I need help on Graphing each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression.
Click here to see answer by Alan3354(69443)

Question 1032181: Find the table of values for
3x-4y=1
3x+2y=6 in linear graph, using graphical method.
Click here to see answer by Alan3354(69443)

Question 1032371: Graph the lines withslope-3 passing through the point (-4, 5).
Click here to see answer by josgarithmetic(39617)

Question 1032373: Whats a comparison of the graphs: y = x and the graph of y = a(x -� h)2+ k
a, h, and k can be any numbers.
Thanks

Click here to see answer by ikleyn(52778)

Question 1032373: Whats a comparison of the graphs: y = x and the graph of y = a(x -� h)2+ k
a, h, and k can be any numbers.
Thanks

Click here to see answer by josgarithmetic(39617)

Question 1032556: what is the linear equation in slope intercept from slope=-1;y-intercept=4

Click here to see answer by fractalier(6550)

Question 1032495: Graph the linear equation. Find three points that solve the equation, then plot on the graph

Click here to see answer by fractalier(6550)

Question 1032800: Using complete sentences, explain how to find the maximum value for each function and determine which function has the largest maximum y value.
Function f(x)=2 cos(x) and function g(x)= 3 times sin (x+ pi)
Click here to see answer by Boreal(15235)

Question 1032816: solve the following equation for all values of x.
10x^2-5x=0
Click here to see answer by fractalier(6550)

Question 1032823: find the value of x by solving the equation. show your work
(10+2x)(5+2x)= 126
Click here to see answer by Boreal(15235)

Question 1032821: place the following quadratic in vertex form by completting the square and then state the coordinates of its vertex.
y=3x^2+24x+43
Click here to see answer by Boreal(15235)

Question 1032845: In this graph of a quadratic inequality, What are the solutions in terms of x?
Graph: http://postimg.org/image/5iwwlde8x/
x < �-1 or x > 4
x ≤ -�1 or x ≥ 4
-1 ≤ x ≤ 4
-1 < x < 4
Click here to see answer by mananth(16946)

Question 1032913: write the equation in standard form using intergs
y-1=4/5(x-4)
Click here to see answer by addingup(3677)

Question 1033002: y=(-1/2)x^2 - 6 was the result of shifting the graph 5 units down. what was the original function?
Click here to see answer by Edwin McCravy(20054)

Question 1033028: jennifer is selling tickets to a school play. an adult ricket costs $6.50 and a student ticket costs $4.00. jennifer sells x adult tickets and 12 srudent tickets. write a function, f(x), to represent how much money jennifer collected from selling tickets.
Click here to see answer by ikleyn(52778)

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