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

Tutors Answer Your Questions about Graphs (FREE)

Question 1199370: Find a and b.

If | x + 2 | < 5, then a < x - 2 < b.

Must I solve left side inequality first?

If so, -5 < x + 2 < 5 is the set up.

Subteact 2 from all sides.

-5 - 2 < x < 5 - 2

-7 < x < 3

Is this correct? If correct, what is the next step?

Click here to see answer by greenestamps(13200)

Question 1199402: Kory drives from Edmonton to Lloydminster and back. Going to Lloydminster, he drives with an average speed of 96 km/h. For the return trip, he averages a speed of 100 km/h. The total time driving is 5.1 hours.
Click here to see answer by math_tutor2020(3816)

Question 1199538: How to graph the function f(x) = 1/4 x - 1; use a line tool and draw the line x = -4 and use dots to graph the point (-4, f(-4))

Click here to see answer by josgarithmetic(39617)

Question 1199538: How to graph the function f(x) = 1/4 x - 1; use a line tool and draw the line x = -4 and use dots to graph the point (-4, f(-4))

Click here to see answer by ikleyn(52779)

Question 1199539: How to graph the function f(x) = 1/4 x - 1; use a line to draw the line x = -4 and then use a dot tool to graph the point (-4, f(-4)) [i misspelled my email and did not catch it right away on my first submission]
Click here to see answer by josgarithmetic(39617)

Question 1199912: A. Explain why the graphs of y = sqrt{x^2} and y = | x | are the same.
B. Explain why the graphs of y = x and y = (sqrt{x})^2 are NOT the same.
C. Explain why the graphs of y = sqrt{x^2} and y = x are NOT the same.
Please, show by showing each graph. Each graph should have a different color.
Click here to see answer by Solver92311(821)

Question 1199969: car rental company offers two plans for renting a car:
Plan A: 30 dollars per day and 18 cents per mile
Plan B: 50 dollars per day with free unlimited mileage
For what range of miles will plan B save you money for a 1 day rental?
To save money the mileage must be greater than__miles per day.
Click here to see answer by math_tutor2020(3816)

Question 1200345: How do you know where to graph these two equations?
3y-2x=6 and -12y+8x=-24
In the textbook, it says that both equations have a y-intercept of (0,2) but I am not understanding HOW they got that?
Click here to see answer by htmentor(1343)

Question 1200456: Evaluate the following:
1. rose bought 9 pens and 7 pencils and paid a total of $14.80. Ann bought 2 pens and 10 pencils and paid $7. find the price for a single pen and a single pencil
2. one number is 5 times another, and the larger number is 9 more than twice the smaller one. find the two numbers
3. the difference between the two numbers is 4. the larger is 8 less than twice the smaller. what are the two numbers?
4. tickets for a play cost $8 or $6, if 350 tickets were sold in all and receipts were $2500, how many of each price ticket were sold?
Click here to see answer by josgarithmetic(39617)

Question 1200457: Evaluate the following:
1. rose bought 9 pens and 7 pencils and paid a total of $14.80. Ann bought 2 pens and 10 pencils and paid $7. find the price for a single pen and a single pencil
2. one number is 5 times another, the larger number is 9 more than twice the smaller. find the two numbers
3. the difference between the two numbers is 4. the larger is 8 less than twice the smaller. what are the two numbers?
4. tickets for a play cost $8 or $6, if 350 tickets were sold in all and receipts were $2500, how many of each price ticket were sold?
Click here to see answer by josgarithmetic(39617)

Question 1200519: Sketch a graph of y =-3

Click here to see answer by ikleyn(52779)

Question 1200542: The graph of y = √ 2x is translated by the vector (-5,3).Find the equation of the resulting
graph.
Click here to see answer by math_tutor2020(3816)

Question 1200624: Find the roots of the parabola
y=3(x-3)^2-3
Enter the two roots in the boxes provided.
If anyone can help me with this, I would appreciate it :)
Click here to see answer by ikleyn(52779)

Question 1200626: Vertex (1,2) Point (3,-4)
Write the equation of the graph below in standard form y=a(x-h)^2+k and general form y=ax^2+bx+c.
I managed to solve for the standard form (which I will show) but I am having difficulties transferring it to general form.

-4=4a+2
-2 -2
-6=4a
-- --
4 4

Does that look correct? If so how I mold it into general form?

Click here to see answer by josgarithmetic(39617)

Question 1200722: 2x-3y>12
Click here to see answer by ikleyn(52779)

Question 1200954: Y greater than or equal to -3
Click here to see answer by Solver92311(821)

Question 1200954: Y greater than or equal to -3
Click here to see answer by josgarithmetic(39617)

Question 1200961: Solve each system by graphing.

x-y=-2
2x+3y=-9
Click here to see answer by josgarithmetic(39617)

Question 1201200: Solve and graph
3x+4y=-16
Click here to see answer by mananth(16946)

Question 1201200: Solve and graph
3x+4y=-16
Click here to see answer by Theo(13342)

Question 1201200: Solve and graph
3x+4y=-16
Click here to see answer by josgarithmetic(39617)

Question 1201268: given f(x)=x^3-2x+1 and g(x)=-x^2-5x+12 find (f+g)(x)
Click here to see answer by ikleyn(52779)

Question 1201268: given f(x)=x^3-2x+1 and g(x)=-x^2-5x+12 find (f+g)(x)
Click here to see answer by Theo(13342)

Question 1201284: -x+3y=-6
6y=2x+6
Click here to see answer by ikleyn(52779)

Question 1201284: -x+3y=-6
6y=2x+6
Click here to see answer by josgarithmetic(39617)

Question 1201284: -x+3y=-6
6y=2x+6
Click here to see answer by math_tutor2020(3816)

Question 1201284: -x+3y=-6
6y=2x+6
Click here to see answer by MathTherapy(10552)

Question 1201397: The bar graph below shows the number of days of class that 20 students missed. What is the sum of the arithmetic mean number of numbers and the median number of days that each student missed?
Click here to see answer by ikleyn(52779)

Question 1201406: Find two points on the line 6y+3x=5
Click here to see answer by josgarithmetic(39617)

Question 1201406: Find two points on the line 6y+3x=5
Click here to see answer by math_tutor2020(3816)

Question 1201464: Janet buys 'p' sweet and 'q' marbles. The sweets cost $5 each and the marbles cost $6 each. Janet has 90, she wants to share the sweets with her friends so she needs at least 5 sweets. She needs more than 4 marbles to be able to join in the game.
(a) Write down the threes inequalities connecting 'p' and 'q'.
(b) Draw a graph to show their inequalities.
(c) What is the highest number of sweets she can buy?
(d) What is the highest number of marbles he can buy?
Click here to see answer by mananth(16946)

Question 1201570: How would you graph?
Total cost of ownership = $16,500 + (40,000 miles/year * 4 years * gas price/gallon * 1/25 miles/gallon) + $250/year

Click here to see answer by josgarithmetic(39617)

Question 1201633: Can you please show me how to graph the line with slope 2 passing through the point (-2,2)
Click here to see answer by josgarithmetic(39617)

Question 1201633: Can you please show me how to graph the line with slope 2 passing through the point (-2,2)
Click here to see answer by math_tutor2020(3816)

Question 1201720: Shade the region defined by this inequality :4y+3x>12

4y+3x>12
y+3x>12/4
y<3-3x

So , I draw y=3-3x and shade the region below the line . The answer on my book is drawn with the area shaded in the upper region .
I chose a point : (0,4) and did substitution : y<3-3x
4<3 ---which is an incorrect statement
Since this point is present in the upper region I shaded the opposite region (below the line ) since the statement is wrong .
So , why is the region shaded in the upper part ? please .
Click here to see answer by ikleyn(52779)

Question 1201725: please help me graph this
y=-6x+5400
y=-3x+2250
with all the points etc
Click here to see answer by josgarithmetic(39617)

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