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

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Question 78668: A small company produces both doll houses and sets of doll furniture. The doll houses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 doll houses and 10 sets of furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of doll houses and y is the number of furniture sets. Then graph the system of inequalities.
Click here to see answer by ankor@dixie-net.com(15746)

Question 78567: Can you tell and explain the equation of the line with given slope and y-intercept. Then graph each line using
the slope and y-intercept.
Slope: 5; y-intercept: (0, 2)
Click here to see answer by checkley75(3666)

Question 78529: Graph this equation.
y= -x + 1
Click here to see answer by checkley75(3666)

Question 78528: Graph this equation.
y=x^2 - 4x
Click here to see answer by checkley75(3666)

Question 78721: Find the slope and y intercept of the line represented by each of the following equations. 2x-3y=6
Click here to see answer by checkley75(3666)

Question 78724: Write the equation of the line with given slope and y intercept. Then graph each line using the slope and y intercept. Slope: -2;y-intercept: (0,4)
Click here to see answer by checkley75(3666)

Question 78688: how do i graph the equation y=3x-4?
Click here to see answer by checkley75(3666)

Question 78726: Write the equation of the line with given slope and y -intercept. Then graph each line using the slope and y- intercept.
Slope: 5; y-intercept: (0, -2)
Click here to see answer by Septimus314(7)

Question 78733: ted bought an antenna that is 12 feet high. he placed the antenna next to his house and attached a support wire as shown.
what is the slope of the support wire?
a. 3/4
b. 4/5
c. 4/3
d. 5/3
Click here to see answer by rapaljer(4667)

Question 78727: Write the equation of the line with given slope and y- intercept. Then graph each line using the slope and y intercept.
Slope: 3/4; y-intercept: (0,8)
Click here to see answer by rapaljer(4667)

Question 78433: y
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Question 78746: Scetch the graph of the quad function. Give the vertex and axis of symmetry.
f(x)=x2-2x-8
Click here to see answer by chitra(359)

Question 78725: Write the equation of the line with given slope and y -intercept. Then graph each line using the slope and y- intercept.
Slope: 5; y-intercept: (0, -2)
Click here to see answer by checkley75(3666)

Question 78729: Technology: Driving down a moutain, Tom finds 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 hundredths.
Click here to see answer by tutor_paul(490)

Question 78736: Write the equation of the line L satisfying the given geometric conditions.
L has y-intercept (0,2) and is perpendicular to the line with equation 2x - 3y =6.
Click here to see answer by tutor_paul(490)

Question 78763: Graph the points
A(-1,0), B(-2,3) C(0,-4) and D(2,4)
Click here to see answer by Edwin McCravy(8999)

Question 78778: how do i graph these conjunctions?
-3 < x and c < 0
-4 < x < -1

Click here to see answer by mathdoc314(58)

Question 78780: How do I solve f(x)= -3x+4 to find the slope and y intercept ?
Click here to see answer by funmath(2925)

Question 78780: How do I solve f(x)= -3x+4 to find the slope and y intercept ?
Click here to see answer by mathdoc314(58)

Question 78359: FIND THE EQUATIONS FOR THE FOLLOWING LINES AND THEN GRAPH THEM USING ANY GRAPHING UTILITY.
(a) Perpendicular to x + 2y = 10, and passing through the point (1, 1).
(b) Parrallel to 6x - 4y + 12 - 0, and passing through the line x = 3.
Click here to see answer by renevencer22(21)

Question 78914: How do I find the slope of any line parallel to the line through points (9, 6) and (1, 2).
Click here to see answer by bucky(2189)

Question 78913: How do I write the equation of the line that passes through point (-1,-2) with a slope of -7.
Click here to see answer by bucky(2189)

Question 78909: How do I graph x = 3.
Click here to see answer by bucky(2189)

Question 78912: Find the slope and the y-intercept.
x = -9

Click here to see answer by bucky(2189)

Question 78908: How Do I determine which two equations represent perpendicular lines.
(a) y = 2x – 9 (b) y = x + 9 (c) y = - x + 9 (d) y = x - 9
I'm lost on which one!

Click here to see answer by bucky(2189)

Question 78911: How do I write the equation of the line passing through (2, 10) and (0, 10)?
Click here to see answer by mathdoc314(58)

Question 78906: How do I write the equation of the line with slope -5 and y-intercept (0, 5)?
Click here to see answer by bucky(2189)

Question 78910: How do I plot the point with coordinates (3, -5) on a graph?
Click here to see answer by mathdoc314(58)

Question 78907: How do I graph y = -1.
Click here to see answer by funmath(2925)

Question 78904: What is the slope of the line passing through the points (0,-3) and (7,-5).
Click here to see answer by tutor_paul(490)

Question 78872: Solve each system by graphing.
3x-2y=6
6x+ 2y=-12
Click here to see answer by Edwin McCravy(8999)

Question 78957: Problem:
Find the slope of the line through the given points

(2,1), (2,7)
Click here to see answer by jim_thompson5910(28715)

Question 78976: t.7
find , and state, the solution(S) for the system by graphing
4x+2y=10 and y = 4
Click here to see answer by jim_thompson5910(28715)

Question 79051: To go to a campsite 12 miles away, you paddle a canoe against the current of a river for 4 hours. During your return trip you paddle with the current, and you travel the same distance in 3 hours. Write and solve a system of equations to find your paddling speed with the river's current, and against the river's current.
Click here to see answer by ankor@dixie-net.com(15746)

Question 79220:
Click here to see answer by mathdoc315(6)

Question 78870: Solve each system by graphing.
y=-3x-3
y=x+5
Click here to see answer by sprolden(40)

Question 79321: Make a table and graph 5x+y=5.
Click here to see answer by rmromero(383)

Question 79321: Make a table and graph 5x+y=5.
Click here to see answer by chitra(359)

Question 79320: Make a table and graph x+y=1.
Click here to see answer by rmromero(383)

Question 79331: y=3/4x+2...How do I solve this?
Click here to see answer by chitra(359)

Question 79358: determine the slope of the line that goes through each pair of points, (0,4) and (5,0)
Click here to see answer by chitra(359)

Question 79372: 1.sketch the graph of each equation
x=9

2.Find the slope and y-intercept for each line
3x+5y+10=0
Click here to see answer by sprolden(40)

Question 79388: How do I graph the following using the intercept method? 2x=3y=6, 2x-3y=12
Click here to see answer by tutorcecilia(2152)

Question 79419: What are the x-intercepts of the graph of y=-xsquared-6x+40
Click here to see answer by checkley75(3666)

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