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

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Question 1153788: Find the coordinates of the vertices of the figure formed by each system of inequalities.
y≥−2
2x+y≤2
y≤2x+6
Click here to see answer by MathLover1(20849)

Question 1153801: a hired bus is used to take teachers and learners on a trip. the number of teachers and learners must not be more than 60.there must be at least 35 people on the trip. there must be 6 teachers on the trip and the number of learners should not be more than 14.
if x is the number of learners and y the number of teachers, write 4 inequalities representing the above information.
Click here to see answer by ikleyn(52780)

Question 1153817: A line in the coordinate plane has a slope of 4, and a distance of 1 unit from the origin. Find the area of the triangle determined by the line and the coordinate axes
Click here to see answer by MathLover1(20849)

Question 1153833: Show graphically the solution set for the linear inequalities.
x + y ≤ 4
2x - y ≤ 4
Plot the graph of the function

Click here to see answer by josgarithmetic(39617)

Question 1153833: Show graphically the solution set for the linear inequalities.
x + y ≤ 4
2x - y ≤ 4
Plot the graph of the function

Click here to see answer by MathLover1(20849)

Question 1153833: Show graphically the solution set for the linear inequalities.
x + y ≤ 4
2x - y ≤ 4
Plot the graph of the function

Click here to see answer by Edwin McCravy(20054)

Question 1153837: what is the equation in slope intercept form of the line that passes through the points (-4,2) and (12,6)

Click here to see answer by MathLover1(20849)

Question 1153926: Which is larger -11 or -15

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Question 1154007: The graph of y=x^2 is reflected in the x-axis, compressed vertically by a factor of 1/3, and shifted 1 unit to the left and 8 units up. Write the equation.
Click here to see answer by josmiceli(19441)

Question 1154022: Y= 1 - 3 x
Click here to see answer by greenestamps(13200)

Question 1154123: Graph the line with slope -3 passing through the point (4,-2

Click here to see answer by MathLover1(20849)

Question 1154175: I need Help!!!!!!
Find a linear inequality with the following solution set. Each grid line represents one unit.
Graph: https://latex.artofproblemsolving.com/4/8/2/48234b947b623e95b3f920ee2e9ce6cb24dcfa4b.png
Give your answer in the form $ax+by+c>0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor greater than 1
Thanks!!!!
Click here to see answer by josgarithmetic(39617)

Question 1154203: Desperate need of help!!!
Arrange the following numbers in increasing order:
Link:
https://latex.artofproblemsolving.com/a/4/4/a44eaf7ca2c0e7e7d0d5f0f87a807fca7c81c744.png
Enter the letters, separated by commas. For example, if you think that $D < A < E < C < B$
Thanks!

Click here to see answer by mananth(16946)

Question 1154202: Pls help!!! I’m desperate!!!
The equation of the perpendicular bisector of the line segment joining the points $(-3,8)$ and $(-5,4)$ is $y = mx + b$. Find $m+b$.
Note: The perpendicular bisector of the line segment $\overline{AB}$ is the line that passes through the midpoint of $\overline{AB}$ and is perpendicular to $\overline{AB}$.
Thank you!!!
Click here to see answer by mananth(16946)

Question 1154226: I can’t find the answer...
I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least $800$ pounds more than each of her trucks, but no more than $\frac{1}{3}$ of the total load her four trucks combined can carry. Based on these facts, what is the greatest load I can be sure that my large truck can carry, in pounds?
Click here to see answer by MathLover1(20849)

Question 1154234: Graph the line with slope 3/2 and y-intercept -3.
Click here to see answer by Alan3354(69443)

Question 1154225: Help!!!!

Note that the three medians appear to intersect at the same point! Let's try this out with a particular triangle. Consider the triangle $ABC$ with $A = (3,6)$, $B = (-5,2)$, and $C = (7,-8)$.
(a) Let $D,$ $E,$ $F$ be the midpoints of $\overline{BC},$ $\overline{AC},$ $\overline{AB},$ respectively. Find the equations of medians $\overline{AD},$ $\overline{BE},$ and $\overline{CF}.$
(b) Show that the three medians in part (a) all pass through the same point.
Link of shape: https://latex.artofproblemsolving.com/b/c/3/bc36d6a86ebdd87399c8b07d66ec053e8593c264.png
Click here to see answer by greenestamps(13200)

Question 1154354: 8y=-16+2x
Click here to see answer by ikleyn(52780)

Question 1154354: 8y=-16+2x
Click here to see answer by josgarithmetic(39617)

Question 1154384: Hello, my questions are
ben bowled 125 and 190 in his first two games. What must he bowl in his third game to have an average of at least 180?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1154385: Pls help
Find a linear inequality with the following solution set. Each grid line represents one unit.
Link to grid: https://latex.artofproblemsolving.com/a/2/9/a29ab229485ebb0bd55ba84d9b69637ee1b61804.png
Give your answer in the form $ax+by+c>0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor greater than 1
Thanks!
Click here to see answer by MathLover1(20849)

Question 1154386: Help!
Find a linear inequality with the following solution set. Each grid line represents one unit.
Link to grid: https://latex.artofproblemsolving.com/8/d/9/8d9bd0400837caad6ee0e3c73ac50b6260d13361.png
Give your answer in the form $ax+by+c>0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor other than 1
Thank you!

Click here to see answer by MathLover1(20849)

Question 1154513: A housewife has advised by a doctor that her husband should eat a minimum amount of fat. The housewife herself could not eat much lean meat. The cost of beef is P100.00 per kilo and has 90% lean and 10% fat. The cost of pork is P75.00 per kilo and has 70% lean and 30% fat. The husband’s monthly requirement is at least 6 kilos of lean meat and the housewife’s requirement is at least 2 kilos of fat. How much beef and pork should be bought per month to minimize the cost and at the same time satisfy the lean and fat requirements of the couple?
Click here to see answer by fsdf(17)

Question 1154671: Graph the given function by making a table of coordinates. f(x)=5^2

Click here to see answer by ikleyn(52780)

Question 1154676: Graph the given function by making a table of coordinates. f(x)=5^x
x= -2,-1,0,1,2
y-= ?
Click here to see answer by josgarithmetic(39617)

Question 1154716: Sketch the graph of the function f(x) that satisfies f'(x)>0 for x<-2 and x>3 and f'(x)<0 for -2
Click here to see answer by Edwin McCravy(20054)

Question 1154808: Hi I need to know the vertex, max, min, domain and range for Y= 3x + 7. I do not know algebra but trying to help grandson. Thanks
Click here to see answer by josmiceli(19441)

Question 1155218: Can you please help me solve these problems.
1. Find an equation of the line containing the point (-2,5) with slope -3;slope-intercept form.
2. Find an equation of the line containing the point (9,3) with slope -1/3; standard form.
Find an equation of the line containing the (-2,-3) with slope 1/8; slope-intercept form.
4. Find an equation of the line containing the point (4,0) with slope -3/16; standard form.
Click here to see answer by MathLover1(20849)

Question 1155234: 1. Find an equation of the line containing the points (-2,1) and (8,11); slope-intercept form.
2. Find an equation of the line containing the points (2,-1) and (5,1); standard form.
Click here to see answer by MathLover1(20849)

Question 1155282: Find the slope of the line tangent to the following at point, where x=2
f(x)=e^(-0.1x^2+2x-3).

Click here to see answer by MathLover1(20849)

Question 1155282: Find the slope of the line tangent to the following at point, where x=2
f(x)=e^(-0.1x^2+2x-3).

Click here to see answer by Alan3354(69443)

Question 1155470: you have a jar of pennies and quarters you want to choose 25 coins that are worth exactly $2.65
Click here to see answer by ikleyn(52780)

Question 1155470: you have a jar of pennies and quarters you want to choose 25 coins that are worth exactly $2.65
Click here to see answer by greenestamps(13200)

Question 1155476: Solve the system by graphing:
3x + 4y = -9
x+ 4y = -5
Click here to see answer by Alan3354(69443)

Question 1155537: 1.ln(x)=7
Click here to see answer by math_helper(2461)

Question 1155619: Complete the ordered pairs so they are solutions of the equation: x+5y=15

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