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

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Question 127079: Suppose that you take care of pets for vacationing neighbors each summer. You charge $15 per day to feed and walk a dog and $5 per day to feed other pets. You know that you can care for 10 pets per day and you want to earn at least $30 per day. Write a system of linear inequalities that describes the situation for x dogs and y pets other than dogs. Then graph the system to show all possible solutions.
Click here to see answer by josmiceli(9649)

Question 127120: One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.

Click here to see answer by solver91311(16868)

Question 127116: Solve the system by addition.
2x – 4y = 7
4x + 2y = 9

Click here to see answer by jim_thompson5910(28476)

Question 127126: Find the slope and y-intercept.
–x – 4y = –32

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Question 127127: Given f(x) = 3x + 1, find f(a + 3).
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Question 127128: Are the following lines parallel, perpendicular, or neither?
L1 through (–4, –7) and (1, 3)
L2 through (2, 6) and (4, 10)

Click here to see answer by jim_thompson5910(28476)

Question 127139: Find the slope of the line passing through the points (–7, –4) and (–1, –10).
Click here to see answer by iluvbuilding429(41)

Question 127143: Find the slope of the line passing through the points (–8, –3) and (–2, 2).
Click here to see answer by iluvbuilding429(41)

Question 127143: Find the slope of the line passing through the points (–8, –3) and (–2, 2).
Click here to see answer by jim_thompson5910(28476)

Question 127136: Write the equation of the line with x-intercept (–, 0) and undefined slope
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Question 127138: Graph the solution: x + 3y = 6.
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Question 127123: An airplane covered 13 miles of its route while decreasing its altitude by 18,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth
Click here to see answer by Fombitz(13828)

Question 127122: Bob invested $20,000, part at 14% and part at 13%. If the total interest at the end of the year is $2,720, how much did he invest at 14%?
Click here to see answer by ankor@dixie-net.com(15624)

Question 127176: how do you sove 7x<-56
Click here to see answer by checkley71(8403)

Question 127158: A couch is 8 1/6 long. The material needed to make a slipcover is to be 2 1/3 times as long to allow for hems and tucking under. How long a piece of material needed?
Click here to see answer by checkley71(8403)

Question 127117: A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities.
Click here to see answer by ankor@dixie-net.com(15624)

Question 127131: Rewrite the equation 4x – 10y = 11 as a function of x.
Click here to see answer by ankor@dixie-net.com(15624)

Question 127217: Evaluate b – 2bc + c
if b = 4 and c = –1
please help
Click here to see answer by stanbon(57219)

Question 127194: I need help performing the indicated operation
f(x)=4x2 +5x+7, g(x)=5x-3
I need to find (g of)(x)
Click here to see answer by jim_thompson5910(28476)

Question 127192: I need help performing the indicated operation
f(x)=5x+15, g(x)=3x-1
I need to find (f og)(x)
Click here to see answer by jim_thompson5910(28476)

Question 127191: I need help performing the indicated operation
f(x)=2x-9, g(x)=4x-4
I need to find (f-g)(x)
Click here to see answer by jim_thompson5910(28476)

Question 127190: I need help to perform the indicated operation given the functions
f(x) and g(x):
f(x)=2x-9 f(x)=4x-4
I need help finding (f-g)(x)
Click here to see answer by jim_thompson5910(28476)

Question 127193: I need help perfoming the indicated operation
f(x)=x+2 g (x)=x2-1
I need to find (g of)(x)
Click here to see answer by jim_thompson5910(28476)

Question 127248: Find the axis of symmetry.
y=x^2+5x–7
I am coming up with 0 (zero)as my answer and that is not one of the
answers on the test. Can you assist me? Please show me the work so I can
see where I am going wrong.
Thanks
Click here to see answer by jim_thompson5910(28476)

Question 127247: Solve the following system of linear inequalities graphically.
3x+2y<=12
x>=2
please help
Click here to see answer by jim_thompson5910(28476)

Question 127257: Graph the quadratic equation after completing the given table of values. y = x2 + 2.
x y
–2
–1
0
1
2
If you can please show the graph. I am totally lost on this section.
Thank You.

Click here to see answer by jim_thompson5910(28476)

Question 127256: Find the axis of symmetry.
y=-x^2-10x+7
I am still not getting this, can you assist one more time?
Thanks

Click here to see answer by jim_thompson5910(28476)

Question 127270: Graph the quadratic equation after completing the given table of values.
y = x^2 – 1
x y
–2
–1
0
1
2
Please assist me with this question, as I am lost.
Thanks

Click here to see answer by checkley71(8403)

Question 127329: Graph

3x+2y=12
Click here to see answer by jim_thompson5910(28476)

Question 127330: Graph

x=2
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Question 127324: Janet invested $31,000, part at 10% and part at 1%. If the total interest at the end of the year is $1,390, how much did she invest at 10%?
please help thanks
Click here to see answer by josmiceli(9649)

Question 127333: graph
x<2
Click here to see answer by jim_thompson5910(28476)

Question 127334: graph
x>=13/5
Click here to see answer by jim_thompson5910(28476)

Question 127336: Evaluate b2 – 2bc + c2 if b = 3 and c = –2.
Click here to see answer by jim_thompson5910(28476)

Question 127338: Graph the solution set of x > –7.
Click here to see answer by jim_thompson5910(28476)

Question 127339: Graph the solution set of x > 3
Click here to see answer by jim_thompson5910(28476)

Question 127337: Multiply.
7x10 - 7x4

Click here to see answer by jim_thompson5910(28476)

Question 127141: An employee who produces x units per hour earns an hourly wage of y = 0.35x + 11 (in dollars). Find the hourly wage for an employee who produces 2 units per hour.
Click here to see answer by ankor@dixie-net.com(15624)

Question 127346: Given -x to the third power + x to the second power + 3x + 4 find
f(–1), f(0), and f(1)

please help i am a little confused on what exactly to find

Click here to see answer by jim_thompson5910(28476)

Question 127344: Given f(x)= 3x^2+1, find f(a+3)
Click here to see answer by checkley71(8403)

Question 127335: Marcie gets paid $1.25 an hour to babysit her little brother. If she babysits for 3 hours, how much money do Marcie's parents owe her?
Click here to see answer by checkley71(8403)

Question 127274: Identify the axis of symmetry, create a suitable table of values, then sketch the graph (including the axis of symmetry).
y = –x^2 + 3x – 3. Please assist me with my problem, also please show the table and the graph.
Thanks
Click here to see answer by edjones(7569)

Question 127185: I need to find the indicated value of the piecewise-defined function
f(-8)for f(x)=3x if x <-1
x-6,if >-1
Click here to see answer by solver91311(16868)

Question 127399: Hey i need help in this problem i did it but i don't know if its right or not
here it is.
These are the steps for both of the problems
a) Rewrite in slope-intercform
b) identify x-and y-intercepts
c)graph the equation
AND THESE ARE BOTH OF THE PROBLEMS
1) 5x-2y=5
2) 3x+5y=15
Click here to see answer by jim_thompson5910(28476)

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