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

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Question 1156958: Find a quadratic with real coefficients and quadratic term x%5E2 that has 5-4i as a root.
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Question 1157229: Let a, b, c be positive real numbers. Find the minimum value of

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Question 1157229: Let a, b, c be positive real numbers. Find the minimum value of

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Question 1157229: Let a, b, c be positive real numbers. Find the minimum value of

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Question 1157692: -36+r<8
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Question 1157692: -36+r<8
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Question 1157789: Isabella works at a frozen yogurt store during the summer Isabella🏐 works at frozen yogurt store during the summer she needs to order small and large cups to get free shipping she must order at least 10 boxes of cups a box of small cups cost $100 in a box of large cups cost 150 maximum of 1200 is the budget of cups. what is the inequalities
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Question 1157740: Find the minimum value of
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Question 1157637: Assume that a sample is used to estimate a population mean
μ
. Find the margin of error M.E. that corresponds to a sample of size 10 with a mean of 25.5 and a standard deviation of 6.3 at a confidence level of 99.5%.

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Question 1158952: According to​ statistics, a person will devote 33 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 23. Over the​ lifetime, how many years will the person spend on each of these​ activities?
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Question 1159100: Which number line shows the inequality n< -1


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Question 1159100: Which number line shows the inequality n< -1


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Question 1159178: 1. the product of an integer and 5 is greater than -32. find the least integer that makes this true.
2. the quotient of an integer and -3 is less than -18. find the least integer that makes this true.
3. explain how the lcm of a set of numbers can be equal to the greatest number in the set.



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Question 1159178: 1. the product of an integer and 5 is greater than -32. find the least integer that makes this true.
2. the quotient of an integer and -3 is less than -18. find the least integer that makes this true.
3. explain how the lcm of a set of numbers can be equal to the greatest number in the set.



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Question 1159327: Q:if 3p+5<15 what is the greatest possible value of 6p-5?
A.15 B.25 C.35 D.85

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Question 1159327: Q:if 3p+5<15 what is the greatest possible value of 6p-5?
A.15 B.25 C.35 D.85

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Question 1159425: If f(x)=5/x+5 and g(x)=2x-5, what is the value of f(g(2))?
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Question 1159425: If f(x)=5/x+5 and g(x)=2x-5, what is the value of f(g(2))?
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Question 1159459: n<-1
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Question 1159918: (-2,1)
y=2x-5

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Question 1159995: y x ≤ − − 2 1
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Question 1159994: Go out in the "real world" and find some relationship that illustrates the concept of a function. Write a description of this relationship explaining why you think this fits the mathematical definition of a function
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Question 1160786: Solve the following inequality
3 2 2
------ < ------ < -------
4x+3 3 x+5

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Question 1160796: Hello! So I have tried over and over to complete this problem, and I just can't get it.
The celebration organizers must decide how many buses and trams to lease in order to shuttle people from the parking lot to the parade route. They are working under a number of constraints:
There are at most 8 trams available.
There are at most 30 shuttle buses available.
It takes 4 staff members to safely load and operate a tram, while it takes only one operator for a shuttle bus. There are at most 50 staff members available for this duty.
Basic insurance costs $10,000. Each tram costs an additional $1000 in insurance. However, each shuttle bus results in a $1000 discount from the basic insurance. The organizers have a budget of $15,000 to spend on insurance.
E. Write an inequality for each of the four constraints above. Make sure to define your variables.
Tram Inequality: ________________________
Staffing: __________________________
Shuttle Bus Inequality: ____________________
Insurance: _________________________

Thank you!

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Question 1160805: (2x-1)/(x-2) <= 2
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Question 1160865: Mark is preparing dinner for the guests. He buys a whole pizza at 325 coins and noodles at 180 coins. Each brownie costs 15 coins. What are the different possible numbers of brownies that he can buy without exceeding his budget of 600 coins
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Question 1161825: Write a compound inequality to represent all of the numbers between -4 and 6.

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Question 1161963: The mean of ten positive numbers is 16 .when. another is added the mean becomes 18 find the numbers added
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Question 1161963: The mean of ten positive numbers is 16 .when. another is added the mean becomes 18 find the numbers added
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Question 1162243: Hello:
How do I setup and solve these inequalities?
1
Joe has $50 in his lunch account and spends $3 each day. Renee has $30 in her lunch account and spends $2 each day. After how many days will the balance in Joe’s account be more than the balance in Renee’s account.
2
Joe has $50 in his lunch account and spends $3 each day. Renee has $30 in her lunch account and spends $2 each day. After how many days will the balance in Joe’s account be less than the balance in Renee’s account?
Thanks in advance for your help.

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Question 1162513: u=(4,1,1) and v=(2,-1,3) verify the cauchy schwarz inequallity holds?
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Question 1162568: A drilling company offer two plans. The "pay-as-you-go" plan costs $500 plus $8 a foot for a well of any depth. Their "guaranteed-water" plan costs a flat fee of $40000 for a well that is guaranteed to provide adequate water for a household.For what depths would it cost a customer less to use the pay-as-you-go plan?
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Question 1162680: Solve the compound inequality
-5<4x-5<12

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Question 1162680: Solve the compound inequality
-5<4x-5<12

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Question 1162680: Solve the compound inequality
-5<4x-5<12

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Question 1162679: -5<4x-5<12
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Question 1162679: -5<4x-5<12
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Question 1162685: a right triangle has a hypotenuss of length 46. The other two sides are x and (x-2) Find x.
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Question 1162684: in a few questions, describe how to solve rational equations
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Question 1162882: For how many integers m is it true that x^2 +2mx+(17m+60) > 0 for all real values of x?
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Question 1162883: For how many integers m is it true that x^2 −8+4m(x−2)^2 +m2(x−2)^2 ≥0 for all real values of x?
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Question 1163110: For how many integers m is it true that x^2 −8+(4m)(x−2)^2 +(m^2)((x−2)^2) ≥0 for all real values of x?
(A) 4 (B) 0 (C) 5 (D) 3 (E) 2

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Question 1163489: 4x<2x+8
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Question 1163490: Represent your answer in part (a) on the number line
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Question 1163529: Prove lim (2x^2 - x - 1) = 2 as x approaches -1 using precise definition of limits.

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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