Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 190367: # 4. Use inductive reasoning to determine the next three numbers in the pattern: 0, 1, 3, 6, 10, 15, ...

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Question 190367: # 4. Use inductive reasoning to determine the next three numbers in the pattern: 0, 1, 3, 6, 10, 15, ...

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Question 190369: # 5. Find a counterexample to show that the following statement is incorrect: “The sum of any two prime numbers is divisible by 2”

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Question 190370: # 6. Emily want to purchase a computer that sells for $1250. She can either pay the total amount at the time of purchase, or she can agree to pay the store $115 down and $85 a month for 15 months. How much money can she save by paying the total amount at the time of purchase?

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Question 190372: # 7. Pick any number and multiply the number by 2. Add 10 to the product. Divide the sum by 2. Subtract 5 from the quotient. Multiply the result by 7. What is the relationship between the number you started with and the final number. Select some different numbers and repeat the process. Make a conjecture about the original number and the final number.

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Question 190374: # 8. Complete the magic square below (Three squares across, three down):

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Question 190366: Factor trinomial
21x^2+2x-3
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Question 190377: can you please help me
solve each equation. If the equation has no solution, choose no real solution

a.x=1
b.x=4.5
c.x=-4.5

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Question 190389: Factor
432-102m+6m^2

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Question 190417: How do you evaluate (3*10^4)(3*10^5)
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Question 190417: How do you evaluate (3*10^4)(3*10^5)
Click here to see answer by stanbon(57361)

Question 190368: can you please help me?
solve. If the equation has no solution, choose no real solution.

a. -1.5
b. 1.5
c. no real solution
Click here to see answer by bsmath(21)

Question 190416: How do you evaluate (3*10^4)(3*10^5)
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Question 190477: Multiply -7x(x-2)
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Question 190477: Multiply -7x(x-2)
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Question 190488: 86).Selling shirts. If a vendor charges p dollars each for rugby shirts, then he expects to sell 2000 - 100p shirts at a tournament.
a) Find a polynomial R(p) that represents the total revenue when the shirts are p dollars each.
b) Find R(5), R(10), and R(20).
c) Use the bar graph to determine the price that will give the maximum total revenue.
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Question 190519: I have been struggling on this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate!!
Circles
Find an equation of the circle described.
Center in quadrant four; tangent to the lines x=1, x=9 and y=0
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Question 190526: can you please help me!!!!!
Simplify the expression

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Question 190524: can you pleasee help me!!!!!!!!!!
simplify the following rational expressions. If it is already in simplest form, choose simplest form
/
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Question 190514: I have been working on this math problem for awhile now and I can't seem to figure it out. I was wondering if someone could help me? Please and Thank You!!! I would deeply appreciate it!!
Circles
Find an equation of the circle described.
A diameter has endpoints (2,5) and (0,3).

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Question 190527: can you please help me.?
The most simplified form of is ?

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Question 190525: can you pleasee help me!!!!!!!!!!
Simplify the expression

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Question 190523: can you please help me?!!
Find the LCD of the fractions in the equation

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Question 190522: Can you PLEASE help me?????

Solve the equation by graphing. Find the solution algebraically to verify your graph. Are there any values for x that are not found in the domain? In other words, are there any values for x that make the equation undefined? What are they?
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Question 189906: can you please help me!!
Graph each equation using a graphing calculator. Choose which function is an inverse variation.
a.
b.
c.
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Question 190564: Find the restricted values of x.
-9x^2 + 11
__________
23x
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Question 190563: I am trying to solve the problem 4m/7 + m =11 and am getting no where with my answer. thanks
Click here to see answer by edjones(7569)

Question 190563: I am trying to solve the problem 4m/7 + m =11 and am getting no where with my answer. thanks
Click here to see answer by stanbon(57361)

Question 190567: Determine whether the polynomial P(x) has a zero remainder when divided by (x-3).
Determine Q(x).
P(x)=x^5-5x^4-2x^3+18x^2+24x-18
Determine Q(x) is throwing me off. I need help please.
Click here to see answer by stanbon(57361)

Question 190571: I am working to factor each trinomial using the AC method.
the problem is
2x^2+11x+5
Getting started I see that ac=2*5=7
I don't understand what numbers I can get to equal 11.
Please help!
Click here to see answer by Earlsdon(6287)

Question 190590: can you please help me?

a.simplest form
b.
c.
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Question 190589: can you pleaseee help me!!
simplify.

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Question 190591: cam you please help me?

/
a.simplest form
b.
c.
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Question 190592: can you please help me!
Find the LCD of the fractions in the equation

a.
b.
c.

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Question 190592: can you please help me!
Find the LCD of the fractions in the equation

a.
b.
c.

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Question 190387: can you please help
simplify the expression
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Question 190625: Translate to en algebraic expression:
The product of 47% and some number?
Click here to see answer by nerdybill(6960)

Question 190649: I need help finding the perimeter or a retangle. One side is 5x+48 and the other side is x^2+9x. It says find the perimeter of the retangle then factor the polynomial.
Click here to see answer by Alan3354(30993)

Question 190663: Factor the binomial
x^2-225y^2
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Question 190662: Factor the binomial
x^2-49
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Question 190660: Factor the binomial
81m^4-625
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Question 190661: Factor the binomial
x^6-y^16
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Question 190658: Factor the binomial
-81+x^2
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Question 190657: Factor the binomial
-9r^2+1
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Question 190656: Factor the binomial
x^2y^2-4
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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, 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, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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