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

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Question 863285: Given f(x) = 2x − 2 and g(x) = 4x − 4, evaluate the composite function.
g[f(−2)]
Click here to see answer by ewatrrr(24785)

Question 863284: Given f(x) = x^2 + 3x � 4 and g(x) = x^3 � 2x + 2, find the following.
(f/g)(-2)
Click here to see answer by ewatrrr(24785)

Question 863290: Compare the graph of g(x)=0.5x^2-2 with the graph of f(x)=x^2
thank youuuuuuu!
Click here to see answer by ewatrrr(24785)

Question 863299: Order the functions f(x)=4x^2, g(x)=-5x^2, and h(x)=0.8x^2 from narrowest graph to widest.
thank you if you can help me
Click here to see answer by ewatrrr(24785)

Question 863291: Given f(x) = x2 + x + 5 and h(x) = 3x + 5, evaluate the composite function.
h[f(x)]
Click here to see answer by Fombitz(32388)

Question 863283: If f is a 1-1 function and f(0) = 4, f(1) = 5, f(2) = 7, and f(3) = 9, find the following.
f ^−1(5)
Click here to see answer by richard1234(7193)

Question 863737: for the equation y-3=3(x+1), what point does the line pass thru? i think it is (-1,3)--also for the same equation , what is the x intercept of the perpendicular line? i came up with x=5. can you check to see if i got them right or where i got off track?
Click here to see answer by josgarithmetic(39617)

Question 863740: 7(x-3)+3(4-x)=-8???
Click here to see answer by Alan3354(69443)

Question 863832: Please show me how to solve:
y= (1/3)*x -4
Sketch the graph of each line
slope= ______
y-intercept = _______
Click here to see answer by richwmiller(17219)

Question 864026: Graph the line
Y=-3x
Click here to see answer by richwmiller(17219)

Question 864076: (Hopefully I picked the right category!)
Given the system of equations:
2x � y = �2
x = 14 + 2y
What is the value of the system determinant?
What is the value of the y−determinant?
What is the value of the x−determinant?
What is the solution to the system of equations?

Click here to see answer by ewatrrr(24785)

Question 864172: Indicate the equation of the line through (2, -4) and having slope of 3/5.
Please help!!

Click here to see answer by Fombitz(32388)

Question 864241: Which of the following is the equation of a line that passes through (-2, -1) and (-4, -3)?
A. y = 1/2x + 1
B. y = x + 1
C. y = 1/2x � 1
D. y = x � 1

Click here to see answer by josgarithmetic(39617)

Question 864271: i need to make a scatter plot of the data in this table, describe the correlation of the data, and determine if its positive, negative, or none.
x -4,-3,1,2,3,7
y 7,4,2,-3,-4,-8
i don't know where to begin...
Click here to see answer by richard1234(7193)

Question 864384: how to verify a point is a solution in a system of equations
Click here to see answer by jim_thompson5910(35256)

Question 862184: Dear tutor, pls help me on this question:
It says Graph y = 10 � 5^x

Click here to see answer by richwmiller(17219)

Question 863207: Compare the graph of g(x)=0.5x^2-2 with the graph of f(x)=x^2.
thank you.
Click here to see answer by richwmiller(17219)

Question 863205: compare the graph of the function with the graph of f(x)=x^2.
g(x)=x^2-3
width :
opens up or down:
vertex:
thank you.!
Click here to see answer by richwmiller(17219)

Question 864472: A rectangular pool is 21 meters wide and 28 meters long. If you swim diagonally across the pool, how many meters would you be swimming?

Click here to see answer by checkley79(3341)

Question 864575: -10<-3 + x < or = 21
Click here to see answer by jim_thompson5910(35256)

Question 864621: Find two ordered pairs that you can use to graph the line: 3x + 2y = 8
What would be your strategy here for finding ordered pairs that you can use to graph the line?
Click here to see answer by jim_thompson5910(35256)

Question 864634: A rectangular room is three times as long as it is wide, and its perimeter is 48 meters. Find the lenght�of the room.�

Click here to see answer by josgarithmetic(39617)

Question 864637: If 19 is increased to 25, what is the percent of increase?

Click here to see answer by josmiceli(19441)

Question 864655: Solve each inequality. graph its solution, and write the solution in set notation.
|x+7|+15>12
Here's what I did:
1)|x+7|+15>12
-15 -15
2)|x+7|>-3
3) x+7<-3 or x+7>3
4) x+7<-3 or x+7>3
-7 -7 -7 -7
5)x<-10 or x>-4
answer: (-infinity,-10)U(-4,infinity)
Im not sure if this is right. I think it is either no solution, or (-infinity,infinity)
Thanks!!!

Click here to see answer by jim_thompson5910(35256)

Question 864731: The vertex is (-2,-7) and the y-intercept is-3

Click here to see answer by ewatrrr(24785)

Question 864626: The length of a rectangular garden is 9 feet longer than its width. If the garden's perimeter is 206 feet, what is the��of the garden in square feet?�

Click here to see answer by ewatrrr(24785)

Question 864821: Compare the graph of g(x)=0.5x^2-2 with the graph of f(x)=x^2
help please, thank you! show work if some please.
Click here to see answer by richwmiller(17219)

Question 864817: Order the functions f(x)=x^2,g(x)=5x^2, and h(x)=0.8x^2 from narrowest graph to widest.
Can someone help me please???
thank you so much.
Click here to see answer by richwmiller(17219)

Question 864966: which line would be perpendicular to y= 2/3x+3
Click here to see answer by ben720(159)

Question 865053: Sketch the graph of
f(x) = -2x^3 + 2x^2 + 42x - 90
Click here to see answer by Fombitz(32388)

Question 865174: Hello, When I enter the equation below into a graphing tool, the result does not match one of four choices on my quiz question.
R(x) = 2/x^2-81
What is the correct graph for R(x)?
Thank you.
Click here to see answer by rothauserc(4718)

Question 865161: Can you find the vertical asymptote, horizontal asymptote, and the graph of:
f(x)=2x/x^2-1
Please answer it clearly 'cause I'm only a high school student. Thanks in advance. Please answer ASAP.
Click here to see answer by rothauserc(4718)

Question 865291: A plane is traveling along the path represented by the following equation: 3(y-5)=6x+8. The
y-intercept is the coordinate of the height (in miles) of the plane over the North Pole. What is the height of the plane as it crosses the North Pole?
Click here to see answer by Alan3354(69443)

Question 865338: graphed, and shade the side that needs to be shaded
Click here to see answer by richwmiller(17219)

Question 865357: If you have an x-intercept = 3 and a y-intercept = 6 find the slope and the y-intercept.
Click here to see answer by mananth(16946)

Question 865357: If you have an x-intercept = 3 and a y-intercept = 6 find the slope and the y-intercept.
Click here to see answer by richwmiller(17219)

Question 865394: Order the functions f(x)=4x^2, g(x)=-5x^2, and h(x)=0.8x^2 from narrowest graph to widest.
SOMEONE help me please!!! thank you . You don't even have to show work. please just help me.
Click here to see answer by jim_thompson5910(35256)

Question 865400: Compare the graph of g(x)=0.5x^2-2 with the graph of f(x)=x^2.
thank you!
Click here to see answer by jim_thompson5910(35256)

Question 865402: compare the graph of the function with the graph of f(x)=x^2.
g(x)=x^2-3
width :
opens up or down:
vertex :
thanks!
Click here to see answer by jim_thompson5910(35256)

Question 865401: Hello, I am having a hard time understanding how to graph the linear inequalities. I think I am starting off right by substituting numbers for x and y and getting my points, I am just having a hard time plotting them. I need an example or something. I will provide a recent problem:
5x-4y>-8
4x+y<6
y>-2
I think I am suppose to take those first two and substitute both x and y to get my points, but I am unsure if I can choose any numbers I want or should they be certain numbers? For example, the first problem, I substituted x with 0 and got (0,2). I think I have that part down, graphing seems to be what I am not understanding. My homework assignments we have to graph and shade, so I am unsure what I am doing wrong.
Thank you so much.
Click here to see answer by josgarithmetic(39617)

Question 864573: Hi, I'm having trouble with this problem.
Graph the inequality: y < -1/2x + 6
Thank you so much!!
Click here to see answer by richwmiller(17219)

Question 859374: What are the step by step directions to solving the compound inequality:
-10<-2+8x<22
*careful on how the x-term is handled while solving and please show all work arriving at the solution.
*show the solution sets written algebraically and as an intersection of intervals.
Please and thankyou!
Click here to see answer by richwmiller(17219)

Question 865717: Find the slope of the line that passes through the given points
(1,4) and (5,3)
Click here to see answer by lwsshak3(11628)

Question 865800: What is the slope of the line that passes through the points (-6, 1) and (4, -4)?

(1) -2
(2) 2
(3) -1/2
(4) 1/2

Click here to see answer by Alan3354(69443)

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