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

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Question 65646: Graph each of the following inequalities.
4x + y > 4
Graph each of the following inequalities.
3x � 4y < 12

Click here to see answer by checkley71(8403)

Question 65643: DOes this mean that i have to show 3different graphs separate or all in one graph.
which the equations that i would graph from this would be:
3x-6
x = 1
y=3
Solve each of the following systems of linear inequalities graphically.
3x � y LESS THAN OR EQUAL TO 6
x GREATER THAN OR EQUAL TO 1
y LESS THAN OR EQUAL TO 3

Click here to see answer by checkley71(8403)

Question 65765: Graph the following equation, using the intercept method.
2x + 3y = 6
I am a bit confusded on how to graph these since there are two variables. If I worked the problem right I came up with 1.
2x + 3y = 5

6-5 = 1
This is as far as I got.
Click here to see answer by checkley71(8403)

Question 65645: Draw the appropriate graphs in each of the following.
A small firm produces both AM and AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The number of production hours is limited to 300 h per week. The plant�s capacity is limited to a total of 18 radios per week, and existing orders require that at least 4AM radios and at least 3 AM/FM radios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in, which x is the number of AM radios and y the number of AM/FM radios.

Click here to see answer by stanbon(75887)

Question 65796: Find the constant of variation k.
m varies directly with n; m = 144 when n = 8.
I did not understand how or where to start this problem so if you could show me how you got your answer so I can understand it for my test next week. Any help is appreciated. Thanks.
Click here to see answer by ptaylor(2198)

Question 65791: how do you write an equation of the line containing the given point and parallel to the given line?
(3,7);x+2y=6
(2,-1);5x-7y=8
Click here to see answer by checkley71(8403)

Question 65783: Find the slope of the line through the following pairs of points:
(-5, -3) and (-5, 2). I tried to graph this in excel according to the way the book describes..(placing dots at the desired points, then connecting those dots with a line going through them to find the slope.) I have tried this and the dots I can not figure out where and how to place them. The lines are hard to determine the points because there are no ends to them even though I chose the one that has the circles at each end of the line to determine the start and end of each point. I would greatly appreciate any help you could assist me with this. Thanks

Click here to see answer by stanbon(75887)

Question 65786: Find the slope of the line through the given points.
On the graph in the book if I counted the squares from the + x and y intersection from left to right I have 2. Then if I count the squared going up the graph for y I have 4th top square for the first point. For the second point counting in the same direction I have 6. Then I count down to 3 bottom corner of the square. These are the two points on the graph needed to find the slope. I would greatly appeciate any help given. Thanks.
Click here to see answer by checkley71(8403)

Question 65847: Graph on a number line :
-x - 3 < but not equal to 1 or x + 2 >3; D = {Integers}
Click here to see answer by funmath(2933)

Question 65967: Please help me sketch this equation: X^3-X^2-16X+16
I need to find the X and Y intercepts and the max and min points.
I figured out the y-intercept to be (0,16) and the x-intercepts to be (1,0), (4,0) and (-4,0).
I am having trouble with the max/min points. This is what I have so far.
I took the derivitive for the max.
Y=X^3-X^2-16X+16
Y=3X^2-2X-16
let y=0
0=(3x-8)(x+2)
x=8/3 x=-2
This is where I get stuck. If you could help me the max/min, that would be great. Thankyou!
Sincerely,
Leanne Spence
Click here to see answer by Earlsdon(6294)

Question 66013: Write the equation of the line with given slope and y-intercept.
Slope: 1/2; y-intercept: (0, -2). Can someone please help me with this problem and show me how to do this for the next time. Thanks.
Click here to see answer by stanbon(75887)

Question 66049: Please help me solve this and understand what I am doing thank you The graph of the equation crosses the x-axis at x=

Do i first get the x by its self? then divide by -1? y=-2x=8?
then do I add 4 to find the answer for x?
Click here to see answer by tanimachatterjee(60)

Question 66101: Find the slope of any line perpendicular to the line through points (0,5) and
(-3, -4).
what i've done so far is the following:
m= -4-5/ -3 - 0 = 9/3=3
I don't know how or what am i suppost to do the rest.
Click here to see answer by uma(370)

Question 66108: Which statement descibes the change to the graph of f(x)=2x+1 when f(x)=2x-1 is graphed?
Answer Choices:
A) The y-intercept changes from 2 to -2.
B) The x-intercept changes from -1/2 to 1/2
C) The slope of the graph changes from 1 to 2.
D) The graph of the line moves left 1 unit.
Click here to see answer by Earlsdon(6294)

Question 66107: Which statement descrives the change to the graph of f(x)=3x+4 when f(x)=3x+2 is graphed?
Answer Choices:
A) The graph of the line moves right 2 units
B) The slope of the graph changes from 4 to 2.
C) The y-intercept changes from 4 to 2.
D) The graph of the line moves left 2 units
Click here to see answer by Earlsdon(6294)

Question 66169: The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.
Click here to see answer by algebrapro18(249)

Question 66170: The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle.
Click here to see answer by algebrapro18(249)

Question 66177: Find two consecutive integers such that the sum of 2 times the first integer and 4 times second integer is 46.
Click here to see answer by checkley71(8403)

Question 66178: The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle.
Click here to see answer by checkley71(8403)

Question 66179: write an inequality for the situation
Allen can spend at most $10.00 on party supplies. Plates cost $3.00 per packages and napkins cost $2.00 per package.
Click here to see answer by stanbon(75887)

Question 66094: Which statement descibes the change to the graph of f(x)=3x+2 when f(x)=-(1/3x)+1 is graphed?
Answer Choices:
A) The y-intercept changes from 2 to 1, and the new graph is perpendicular to the original graph.
B) The graph of the line moves left 1 unit, and the slope changes from 3 to
-(1/3)
C) The graphs of the lines are perependicular and meet at their y-intercepts.
D) The graph of the line moves left 1 unit and down 3 units.
Click here to see answer by ankor@dixie-net.com(22740)

Question 66232: Complete the square as an aid in graphing
y = -2x^2 + 8x - 6

Click here to see answer by tutorcecilia(2152)

Question 66218: Directions: graph the solution set of each of the following inequalities.
x > 4
Click here to see answer by tutorcecilia(2152)

Question 66338: Please help :
Complete the square as an aid in graphing :
y = x^2 + 2x - 1
Click here to see answer by stanbon(75887)

Question 66375: I cannot seem to understand the way my book tells me to graph inequalities. It tells me that I first have to graph the boundary line for the example x-y<1. I don't know how to graph that. My book tells me something about using points, but I don't know how to find the points. And after the book somehow fnds their points, the use test points and shade part of the graph, I don't know what test points are.
Click here to see answer by stanbon(75887)

Question 66379: What is the vertex of the graph for the equation y=|2x-4|-9?
Click here to see answer by stanbon(75887)

Question 66379: What is the vertex of the graph for the equation y=|2x-4|-9?
Click here to see answer by Nate(3500)

Question 66407: Technology. Driving down a mountain, Tom finds that he has descended 1800 ft
in elevation by the time he is 3.25 mi horizontally away from the top of the
mountain. Find the slope of his descent to the nearest hundredth.
Click here to see answer by rcmcc(152)

Question 66413: Business and finance. In planning for a new item, a manufacturer assumes that
the number of items produced x and the cost in dollars C of producing these items
are related by a linear equation. Projections are that 100 items will cost $10,000 to
produce and that 300 items will cost $22,000 to produce. Find the equation that
relates C and x.
Click here to see answer by ankor@dixie-net.com(22740)

Question 66548:
Click here to see answer by funmath(2933)

Question 66547:
Click here to see answer by funmath(2933)

Question 66633: Graph 3x + 2y = 6
This one is throwing me off because the way I figured this one was 3x-2y = 1 or -1 to get rid of the variable to find the cordinance. Can someone please help me with this one. Thanks
Click here to see answer by funmath(2933)

Question 66650: Write the equation of the line with x-intercept (-10, 0) and undefined slope.
Click here to see answer by ankor@dixie-net.com(22740)

Question 66672: PLease help to graph on a number line
x^2 - 5x > or equal to -6; D = {Reals}
Click here to see answer by stanbon(75887)

Question 66673: Write the equation of the line passing through (6,2) and (6, -6). Show work.
Click here to see answer by stanbon(75887)

Question 66673: Write the equation of the line passing through (6,2) and (6, -6). Show work.
Click here to see answer by checkley71(8403)

Question 66647: 2x � 3y = 12
Click here to see answer by checkley71(8403)

Question 66352: solve this equation by graphing:
y=2/3x -1
Click here to see answer by checkley71(8403)

Question 66646: y = � x + 2
Click here to see answer by Gen(11)

Question 66691: Determine which two equations represent parallel lines. Show work.
(a) y=6x-5 (b) y=-6x+5 (c) y=6x+1 (d) y=-1/6x-5
Click here to see answer by Nate(3500)

Question 66691: Determine which two equations represent parallel lines. Show work.
(a) y=6x-5 (b) y=-6x+5 (c) y=6x+1 (d) y=-1/6x-5
Click here to see answer by sister_insomnia(8)

Question 66690: graph the equation y=-2x
Click here to see answer by Nate(3500)

Question 66689: graph the equation y=4/3x-2
Click here to see answer by Nate(3500)

Question 66693: Complete the ordered pairs for the equation y=5x+15. Please show me how you arrived at the answer.
Click here to see answer by Earlsdon(6294)

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, 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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, 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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