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

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Question 1141635: 4x=3y<
240
5X-Y<110
X>0, Y>0
Click here to see answer by Alan3354(69443)

Question 1141683: The twenty first term of an app is five and a half while the sum of the twenty one terms is ninetyfour and a half.find the sum of the first 3 terms of the ap
Click here to see answer by Theo(13342)

Question 1141585: let. a, b, c, d be positive integers and (log( b)/log (a))=3/2
,(log (d)/log (c))=5/4 ,if a-c=9 then b - d = .....
Click here to see answer by Edwin McCravy(20054)

Question 1141684: The twenty first term of an ap is five and a half while the sum of the twenty one terms is ninetyfour and a half.find the sum of the first 3 terms of the ap
Click here to see answer by greenestamps(13198)

Question 1141792: The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 37 minutes of calls is $17.47 and the monthly cost for 48 minutes is $18.90. What is the monthly cost for 43 minutes of calls?
Click here to see answer by josgarithmetic(39617)

Question 1141791: Given h(x)=x^3+1, find the equation of the secant line passing through (−3, h(−3)) and (1, h(1)). Write your answer in the form y=mx+b.
Click here to see answer by josmiceli(19441)

Question 1141823: How do I solve. A baseball manager bought four bats and nine balls for $76.50. On another day, she bought three bats and twelve balls at the same prices and paid $81.00. How much did she pay for each bat and each bsll?
Click here to see answer by math_helper(2461)

Question 1141824: Ramon rented a sprayer and a generator. On his first job, he used the sprayer for 6 hours and the generator for 6 hours at a total cost of $90. On his second job, he used the sprayer for 4 hours and the generator for 8 hours at a total cost of $100. What was the hourly cost of each piece of equipment? How do I solve?
Click here to see answer by Boreal(15235)

Question 1141822: How do I solve. Jayce bought 2 bath towels and 3 hand towels for $35. His sister jayna bought 3 bath towels and 3 hand towels for $45. Determine the prices of a bath towel and hand towel.
Click here to see answer by Theo(13342)

Question 1141926: F(x)=the square of x-1
G(t)=the square of t
H(x)=x+3
Find1. Hgf(x)
2. Fgh(2)
3. Hhgg(1)
Click here to see answer by josgarithmetic(39617)

Question 1141967: Find the equations for two lines that both go through the point (1,2), one with slope 3 and one with slope -1/3. (write the numerical coefficient of each term to complete the required equation)
Click here to see answer by josgarithmetic(39617)

Question 1141925: F(x)=10x
G(x)=x+3

Find 1. F(g)(x)
2. The inverse of f(g)
3. The inverse of g(f)

Click here to see answer by greenestamps(13198)

Question 1141987: -|x|-5>3
how to graph on a number line
Click here to see answer by josgarithmetic(39617)

Question 1141923: F(x)=the square of x -1
G(t)=the square of t
H(x)=x+3
Find1. f(g)(x)
2. Inverse of f(g)
3. Inverse of g(f)
Click here to see answer by Alan3354(69443)

Question 1142036: graph the line with a slope of 3/4 passing through 2,5
Click here to see answer by josgarithmetic(39617)

Question 1142117: What is the solution -8 -9
----=--
M-4 m+4
Click here to see answer by josgarithmetic(39617)

Question 1142198: A rectangular room is 7 feet shorter than it is wide. If the perimeter of the room is 70 feet, what is the length of the room?
1. 7 feet
2. 84 feet
3. 21 feet
4 14 feet
Click here to see answer by Alan3354(69443)

Question 1142199: The width of a rectangular room is 3 feet shorter than it is long. If the perimeter of the room is 42 feet, what is the width of the room?
1. 12 feer
2. 9 feet
3. 18 feet
4. 6 feet
Click here to see answer by Alan3354(69443)

Question 1142200: The perimeter of an isosceles triangle is 56 inches. The base is twice the length of one of the side of equal measurement of the isosceles triangle. What is the value of one of the equal sides of the triangle.
1. 14
2. 19
3. 28
4. 37
Click here to see answer by Alan3354(69443)

Question 1142226: The set [0,1,2] is equivalent to
1. {X|-1 < x < 2,where x is an interger}
2. {X|-1 is less than or equal to x < 3, where x is an interger}
3. {X|0 < x is less than or equal to 2, where x is an interger}
4. {X|0 less than or equal to x is less than or equal to 2, where x is an interger}

Click here to see answer by greenestamps(13198)

Question 1142413: 1.) the circle is tangent to the line y=3-5x at the point (2,-7) whose center is on the line x= 2y+19. find the equation of the circle and illustrate .
Click here to see answer by greenestamps(13198)

Question 1142367: Please help me solve this:
Suppose AB is the diameter of a circle, where A = (−1, 1) and B = (−4, −5). The equation of the circle is
1. (x + 5/2)^2 + (y + 2)^2 = 45
2. 4(x + 5/2)^2 + 4(y + 2)^2 = 45
3. (x − 5/2)^2 + (y − 2)^2 = 45
4. 4(x − 5/2)^2 + 4(y − 2)^2 = 45
5. 2(x + 5/2)^2 + 2(y + 2)^2 = sqrt (45)
Click here to see answer by greenestamps(13198)

Question 1142566: solve graphically showing steps.
y<=-x^2
y>=x^2-4
Click here to see answer by Edwin McCravy(20054)

Question 1142640: The velocity of a particle moving with SHM in a straight line is given by v=4x-x^2. Find the max speed of the particle.
The answer is 4m/s but I keep getting 2m/s.
Click here to see answer by MathLover1(20849)

Question 1142667: There was a question on a certification test that read:
"Which graph best represents this system of equations?"
x + y = 10
x - y = 4
My answer was (x =7, y = 3)
When I saw the different linear graphs, I did not know which one to select because only the coordinate points (7,3) satisfy the equation. Each line of the graph went through (7,3), but in different directions. How do I find other coordinate points that is a solution to this equation?
Click here to see answer by Alan3354(69443)

Question 1142795: prove that: 1-2cos (x)= 4(cos(x))^2
Click here to see answer by math_helper(2461)

Question 1142797: prove that: 1-2 cos (72°)= (2cos(72°))^2
Click here to see answer by math_helper(2461)

Question 1142838: My two pets, Fido and Spot are each on special diets. Fido’s food costs $5 per pound and Spots costs $3 per pound. The total spent was $99 on 23 lbs total. How many pounds of each kind of food was bought?
Click here to see answer by josgarithmetic(39617)

Question 1142836: A cell phone carrier charges a fixed monthly fee plus a constant rate for each minute used.
Part 1. In January, the total cost for
175
minutes was
$
50.5
while in February, the total cost for
200
minutes was
$
52
. The constant charge for each minute used is:
0.07
0.08
0.06

Part 2. The fixed monthly fee charged by the carrier is;

Click here to see answer by solver91311(24713)

Question 1142984: If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
* 2,1
* 1,1
* 0,1
Please help me, thanks.
Click here to see answer by amarjeeth123(569)

Question 1143039: how to rewrite in general form
Click here to see answer by Alan3354(69443)

Question 1143039: how to rewrite in general form
Click here to see answer by ikleyn(52778)

Question 1143047: Hi! I have no idea where to start with this problem. I drew the points, but can someone help me with steps to take? Is it a piecewise function??
"Draw the graph of a function that decreases over the interval (-5, -2) and increases over the interval (-2, 4)".
Click here to see answer by ikleyn(52778)

Question 1143049: Draw the graph of a function that decreases over the interval (-5, -2) and increases over the interval (-2, 4). (All I'm given is intervals)
Click here to see answer by Alan3354(69443)

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, 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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