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

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Question 993403: solve the following 3x-29. Express the set in interval notation and graph it on a real-numberline:

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Question 993552: Z^4-4z^2-5=0
I am having a problem solving this equation

Click here to see answer by josgarithmetic(39613) About Me 

Question 993553: (x^2)/(x-3) >= 0 find solutions in interval notation. I have tried a couple different ways but I know they're not right. Please help!
Click here to see answer by solver91311(24713) About Me 

Question 993697: X - 4 < -5
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Question 993894: Please help me solve this algebra problem!
Solve the inequality. Express your answer in interval form.
x2 + 36 < 12x
Thank you!!!

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Question 993894: Please help me solve this algebra problem!
Solve the inequality. Express your answer in interval form.
x2 + 36 < 12x
Thank you!!!

Click here to see answer by MathLover1(20849) About Me 

Question 993893: Please help me solve:
Solve the inequality. Express your answer in interval form. (If there is no solution, enter NO SOLUTION.)
9x2 + 16 ≥ 24x
Thank you!

Click here to see answer by ikleyn(52750) About Me 

Question 993929: The gas tank on your car holds 21 gallons. If you get between 16 and 18 miles
per gallon depending on conditions, write an inequality stating how far you can on a tank of gas.

Click here to see answer by josmiceli(19441) About Me 
Question 993929: The gas tank on your car holds 21 gallons. If you get between 16 and 18 miles
per gallon depending on conditions, write an inequality stating how far you can on a tank of gas.

Click here to see answer by Theo(13342) About Me 

Question 993930: Find a system of inequalities and sketch a graph for the following information: A merchant is buying two brands of product. Brand A costs $600, brand B costs $ 200, but the merchant can at most spend $ 3600. Brand A weighs 80 lb, brand B weighs 160 lb and each requires 3 ft^3 of space. However, the delivery vehicle can hold at most 1040 lb and at most 24 ft^3 of cargo.
Click here to see answer by stanbon(75887) About Me 

Question 994043: Please help me work this problem out: solve and write in interval notation.
x2 + 3x + 5 ≥ 0
Thank you!!!!!!!

Click here to see answer by Boreal(15235) About Me 

Question 994042: Please help me solve this problem: Solve problem and write in interval notation if problem does not have a solution state why?
2x2 − 4x − 1 > 0
Thank you!

Click here to see answer by Boreal(15235) About Me 

Question 994041: Please help with this problem?

2x2 ≤ 9x + 5

Thank you!

Click here to see answer by Alan3354(69443) About Me 

Question 994057: "The sum of the digits of a certain two digit number is 13. When you reverse its digits you increase the number by 45. Find the number."
I solved this and wanted to put it up for everyone else who would have trouble with this problem. You can solve it yourselves if you want, but this is just what I got.
I got 49. The explanation: http://screencast.com/t/fGexMR44y0iR
and the proof/check work: http://screencast.com/t/jpZV9m0vt

Click here to see answer by addingup(3677) About Me 

Question 994098: Help me with this inequality problem please.
The velocity of an object is given by V=80-3t where t is in seconds. When will the velocity be between 32 ft/s and 64 ft/s?

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Question 994194: m is greater than or equal to 5m-4







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Question 994200: Solve the polynomial inequality. Express the solution set in interval notation.
36 x^2 + 1 greaterthan or equalto 12 x

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Question 994201: Use the position function
s(t) = -16t^2 + v_0t + s_0
v0 = initial velocity,
s0 = initial position,
t = time
to answer the following question.
You throw a ball straight up from a rooftop 170 feet high with an initial velocity of 32 feet per second. During which time period will the ball's height exceed that of the rooftop?
ANSWER: Between ...?? and ...?? seconds.

Click here to see answer by stanbon(75887) About Me 
Question 994201: Use the position function
s(t) = -16t^2 + v_0t + s_0
v0 = initial velocity,
s0 = initial position,
t = time
to answer the following question.
You throw a ball straight up from a rooftop 170 feet high with an initial velocity of 32 feet per second. During which time period will the ball's height exceed that of the rooftop?
ANSWER: Between ...?? and ...?? seconds.

Click here to see answer by josmiceli(19441) About Me 
Question 994201: Use the position function
s(t) = -16t^2 + v_0t + s_0
v0 = initial velocity,
s0 = initial position,
t = time
to answer the following question.
You throw a ball straight up from a rooftop 170 feet high with an initial velocity of 32 feet per second. During which time period will the ball's height exceed that of the rooftop?
ANSWER: Between ...?? and ...?? seconds.

Click here to see answer by MathLover1(20849) About Me 

Question 994199: The perimeter of a rectangle is 210 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed 2250 square feet.
Your answer should be one interval in each box.
ANSWER: The length (in feet) of a side is in the interval....???
or in the interval....???

Click here to see answer by stanbon(75887) About Me 

Question 994205: Consider the following inequalities:
4y + 9 > −3
2y + 1 < −5
3y + 4 > −5
−5y − 2 < 13
The inequality that is not equal to the other three is
[1] −5y − 2 < 13.
[2] 3y + 4 > −5.
[3] 2y + 1 < −5.
[4] 4y + 9 > −3.
[5] none of the above.

Click here to see answer by stanbon(75887) About Me 

Question 655232: The length of a rectangle is 9.7cm more than 4 times the width. If the perimeter of the rectangle is 91.4cm what are the dimensions?
Click here to see answer by floresn(1) About Me 

Question 994271: The height of a projectile is modeled by equation y=-2x^2+38x+10, where x is time, in seconds, and y is height, in feet. During what interval of time to the nearest temth of a second is the projectile at least 125 feet above the ground?
Click here to see answer by rothauserc(4718) About Me 

Question 994691: Graph solution set and write in interval notation. X<4 and x>-3
Click here to see answer by stanbon(75887) About Me 

Question 994702: I need help on this problem please.
The average air pressure in another town is 29 inches but the actual pressure is within 4 inches of the average. Write and solve an inequality to find the range of air pressure in this town.

Click here to see answer by fractalier(6550) About Me 
Question 994702: I need help on this problem please.
The average air pressure in another town is 29 inches but the actual pressure is within 4 inches of the average. Write and solve an inequality to find the range of air pressure in this town.

Click here to see answer by Alan3354(69443) About Me 

Question 994858: Define a variable and write an inequality modeling each situation.
the times of the other runners if the winner ran the race in 10.85 sec

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Question 995186: Anne has P8810 in her savings account.If she deposits P550 each week,what is the smallest number of weeks before she will have more than P12000 in her account?

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Question 995185: anne has P8810 in her savings account. If she deposits P550 each week,what is the smallest number of weeks before she will have more than P12000 in her account?

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Question 995420: Find the values for x where X^2 - 12 < 3x + 6.
This is supposed to be an inequality right?

Click here to see answer by stanbon(75887) About Me 

Question 995428: Use your graphing calculator to find the values of x for which x^2 - 3x - 18 < 0. Are these the same values of x you found in x^2 - 12 , 3x + 6?
I know that they should be the same values, but how do you tell what the values of x are from graphing it?

Click here to see answer by josgarithmetic(39613) About Me 

Question 995434: A silversmith wishes to obtain an alloy containing at least 72% silver and at most 75% silver. Determine the greatest and least amounts of an 80% silver alloy that should be combined with a 65% silver alloy in order to have 30grams of the required alloy.
Click here to see answer by josmiceli(19441) About Me 

Question 995443: A rectangular plot of the ground is to be enclosed by a fence and then divided down the middle by another fence. The fence down the middle costs $3 per running foot and the other fence costs 6$ per running foot. If the area of the plot is to be 1800ft² and the cost of the fence is not to exceed $2310, what are the restrictions on the dimensions of the plot?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 995512: Mary and Janet are running in the Apple hill fun run. Mary runs at 7 mph, Janet at 5mph. If they start at the same time, how long will it be before they are 1.5 miles apart .
Click here to see answer by josmiceli(19441) About Me 

Question 995552: How much water should be added to 8ml of 6% saline solution to reduced the convention to 4%
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Question 995551: Beau wishes to strengthen a mixture from 10% alcohol to 30% alcohol.How much pure alcohol should be added to 7 L of 10% mixture.
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Question 995533: write an inequality and solve; then use the word phrase to state your answer
QUESTION:
Find all the numbers such that one-third of the number is at most five.

Click here to see answer by rfer(16322) About Me 

Question 995671: Please help me solve this problem:
(|x|/|x + 2|) < 2

Click here to see answer by josgarithmetic(39613) About Me 

Question 995825: Determine the value of k so that 3x-2 is a factor of 6x^3 + 5x^2 + kx + 10.
Click here to see answer by ikleyn(52750) About Me 
Question 995825: Determine the value of k so that 3x-2 is a factor of 6x^3 + 5x^2 + kx + 10.
Click here to see answer by stanbon(75887) About Me 
Question 995825: Determine the value of k so that 3x-2 is a factor of 6x^3 + 5x^2 + kx + 10.
Click here to see answer by solver91311(24713) About Me 
Question 995825: Determine the value of k so that 3x-2 is a factor of 6x^3 + 5x^2 + kx + 10.
Click here to see answer by MathTherapy(10549) About Me 

Question 995896: What is the standard form of the equation of the line given the slope and y intercept m=1;b=-2
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Question 996141: Write an inequality and solve
Find the numbers such that four less than half the number is at least five and at most ten.

Click here to see answer by josgarithmetic(39613) About Me 

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