Questions on Algebra: Inequalities, trichotomy answered by real tutors!

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Question 1130163: Write an inequality and solve each problem:
Four more than a number is no more than thirteen.
The difference of a number and -6 is less than 9.
Eleven less than a number is more than seventeen.
Click here to see answer by Alan3354(69443)

Question 1130306: How can i find the value of -|1/3|
Click here to see answer by ikleyn(52775)

Question 1130339: Solve the system of equations by the elimination method. (If the system is dependent, let y = c and enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
{3x− y= 9
4x+ 3y= −1
(x, y) =

Click here to see answer by MathLover1(20849)

Question 1130335: Solve the systems of equations by using the substitution method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
{5x− 4y = −17
y= 5x − 7
(x, y) =

Click here to see answer by math_helper(2461)

Question 1130338: Solve the systems of equations by using the substitution method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
{y = 3x− 7
y= 5x− 9
(x, y) =

Click here to see answer by Alan3354(69443)

Question 1130337: Solve the system of equations by the substitution method. (If the system is dependent, let y = c and enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
{6x + 5y= 7
x − 3y= 5
(x, y) =

Click here to see answer by Alan3354(69443)

Question 1130336: Solve the system of equations by the substitution method. (If the system is dependent, let y = c and enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
{-2x + 3y = 5
x = 2y-4
(x, y) =

Click here to see answer by Alan3354(69443)

Question 1130397: Solve the system of equations by using the elimination method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
{3x+ 4y= −8
x − 5y= −9
(x, y) =
Click here to see answer by Alan3354(69443)

Question 1130400: Solve the system of equations by the elimination method. (If the system is dependent, let y = c and enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
{5/6x-1/3y=-21
1/6x+2/3y=9
(x, y) =
Click here to see answer by Alan3354(69443)

Question 1130399: Solve the system of equations by the elimination method. (If the system is dependent, let y = c and enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
{3x + 6y= 13
2x + 4y = 11
(x, y) =

Click here to see answer by Alan3354(69443)

Question 1130398: Solve the system of equations by the elimination method. (If the system is dependent, let y = c and enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
{3x + 6y = 13
2x + 4y= 11
(x, y) =

Click here to see answer by Alan3354(69443)

Question 1130419: Solve the system of equations by the substitution method. (If the system is dependent, let y = c and enter a general solution in terms of c. If there is no solution, enter NO SOLUTION
{−2x + 3y= 5
x = 2y − 4
(x, y) =

Click here to see answer by MathLover1(20849)

Question 1130421: Solve the system of equations by the elimination method. (If the system is dependent, let y = c and enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
{4x+ 7y= 28
5x−4y=−16
(x, y) =
Click here to see answer by ikleyn(52775)

Question 1130422: Solve the system of equations by the elimination method. (If the system is dependent, let y = c and enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
5/6x-1/3y+-21
1/6x+2/3y+9
(x, y) =
Click here to see answer by MathLover1(20849)

Question 1130420: Solve the system of equations by using the elimination method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
{3x+ 4y= −8
x− 5y= −9
(x, y) =

Click here to see answer by MathLover1(20849)

Question 1130425: Solve the system of equations by the elimination method. (If the system is dependent, let y = c and enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
5/6x-1/3y=-21
1/6x+2/3y=9
(x, y) =
Click here to see answer by Boreal(15235)

Question 1130534: A goldsmith has two gold alloys. The first alloy is 40% gold; the second alloy is 70% gold. How many grams of each should be mixed to produce 30 grams of an alloy that is 60% gold?
amount of 40% gold g
amount of 70% gold g
Click here to see answer by josgarithmetic(39616)

Question 1130533: A motorboat traveling a distance of 105 miles in 3 hours while traveling with the current. Against the current, the same trip took 7 hours. Find the rate of the boat in calm water and the rate of the current.
rate of boat_____mph
rate of current mph

Click here to see answer by ikleyn(52775)

Question 1130540: The fuel efficiency for a certain midsize car is given by
E(v) = −0.014v2 + 1.176v + 3.2
where E(v) is the fuel efficiency in miles per gallon for a car traveling v miles per hour.
(a) What speed will yield the maximum fuel efficiency? Round to the nearest mile per hour. mph
(b) What is the maximum fuel efficiency for this car? Round to the nearest mile per gallon. mpg
Click here to see answer by ankor@dixie-net.com(22740)

Question 1130542: se the vertex formula to determine the vertex of the graph of the function.
f(x) = x2 − 12x
(x, y) =
Write the function in standard form.
f(x) =

Click here to see answer by MathLover1(20849)

Question 1130541: Find the range of
f(x) = −x2 − 6x − 7.
Click here to see answer by MathLover1(20849)

Question 1130603: Solve the system of equations by the substitution method. (If the system is dependent, let y = c and enter a general solution in terms of c
{6x + 5y= 7
x − 3y= 5
(x, y) =

Click here to see answer by Boreal(15235)

Question 1130535: Solve the system of equations. (If the system is dependent, enter a general solution in terms of c.
{2x− y+ z = 12
2y− 3z=−16
3y+ 2z= 2
(x, y, z) =
Click here to see answer by Alan3354(69443)

Question 1130605: Solve the system of equations. (If the system is dependent, enter a general solution in terms of c. If there is no solution
{x+5y− 4z= 22
4x − y+ z= 3
5x+ 4y −5z=35
(x, y, z) =
Click here to see answer by Alan3354(69443)

Question 1130632: Solve the system of equations by the substitution method. (If the system is dependent, enter a general solution in terms of c
{3x + 4y= 12
y= −2x + 2
(x, y) =
Click here to see answer by stanbon(75887)

Question 1130628: Solve the system of equations. (If the system is dependent, enter a general solution in terms of c.
{2x − y + z= 12
2y − 3z = −16
3y + 2z = 2
(x, y, z) =

Click here to see answer by stanbon(75887)

Question 1130629: Solve by using a system of equations.
The number x of smartphones a manufacturer is willing to sell is given by
x = 24p − 2500,
where p is the price, in dollars, per smartphone. The number x of smartphones a wholesale distributor is willing to purchase is given by
x = −3p + 875,
where p is the price per smartphone. Find the equilibrium price.
Click here to see answer by stanbon(75887)

Question 1130631: The temperature at various times on a summer day at a resort in southern California is given in the following table. The variable t is the number of minutes after 6:00 A.M., and the variable T is the temperature in degrees Fahrenheit.
t (min) T (�F)
20 62
40 61
80 67
120 76
160 81
200 79
240 84
280 87
320 84
360 85
400 78
(a) Find a quadratic model for these data. (Round all numerical values to five decimal places.)
T =
(b) Use the model to predict the temperature at 1:00 P.M. Round to the nearest tenth of a degree.___�F
Click here to see answer by Boreal(15235)

Question 1130604: Solve the system of equations. (If the system is dependent, enter a general solution in terms of c
{2x− y+ z = 12
2y− 3z= −16
3y + 2z= 2
(x, y, z) =
Click here to see answer by ankor@dixie-net.com(22740)

Question 1130782: Solve the systems of equations by using the substitution method. (If the system is dependent, enter a general solution in terms of c.
{18x− 12y=24
−6x+ 4y= 12

Click here to see answer by josgarithmetic(39616)

Question 1130783: Solve the system of equations by the substitution method. (If the system is dependent, let y = c and enter a general solution in terms of c
{6x + 5y = 2
x − 3y = 8
(x, y) =
Click here to see answer by josgarithmetic(39616)

Question 1130780: A motorboat traveling a distance of 150 miles in 3 hours while traveling with the current. Against the current, the same trip took 5 hours. Find the rate of the boat in calm water and the rate of the current.
rate of boat mph
rate of current mph

Click here to see answer by josgarithmetic(39616)

Question 1130781: Solve the systems of equations by using the substitution method. (If the system is dependent, enter a general solution in terms of c.
{6x+ 7y= −9
2x+ 5y= 5

Click here to see answer by josgarithmetic(39616)

Question 1130779: Solve the system of equations. (If the system is dependent, enter a general solution in terms of c
{x+ 2y − 4z= 21
4x− y+ z=16
2x+ 4y−2z=18
(x, y, z) =

Click here to see answer by Alan3354(69443)

Question 1130867: Find the maximum or minimum value of the function.
f(x) = -x^2 + 4x + 1
state whether minimum or maximum
Click here to see answer by Boreal(15235)

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