See tutors' answers!

Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On


   
By Tutor
 | By Problem Number | 

Tutor:
New! Get regular updates about newly solved problems via algebra.com's RSS system.

Recent problems solved by 'MathLover1'

MathLover1 answered: 6611 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629, >>Next

Equations/639350: Hi,
I need help with this question:
What is the domain of the function
f(u)=[(square root of)(u-2)]-[(square root of)(6-u)

Please help! my homework is due wednesday at 12:00 pm
1 solutions

Answer 402704 by MathLover1(6613) About Me  on 2012-08-20 22:45:34 (Show Source):
You can put this solution on YOUR website!
sqrt%28u-2%29-sqrt%286-u%29
domain will be all real numbers except values of u that make u-2 and 6-u equal to 0
and they are:
u-2=0.....->...u=2
6-u=0.....->...6=u
and


Divisibility_and_Prime_Numbers/639321: 840.9744/12.96
Need the process to help my son
1 solutions

Answer 402694 by MathLover1(6613) About Me  on 2012-08-20 21:26:07 (Show Source):
You can put this solution on YOUR website!

840.9744%2F12.96...here, denominator is an decimal number and we need a whole number; so, since denominator has two decimal places we will multiply it by 100 to get whole number....but, we need to multiply by 100 nominator too

840.9744%2A100%2F%2812.96%2A100%29

84097.44%2F1296...as you can see, denominator is whole number (1296) and decimal point in nominator moved two places to the right
now, we can do division
84097.44%2F1296=64.89


test/639287: What is the value of f(x) given the value of x x=4
f(x)x^4-x^2-9x-16
1 solutions

Answer 402691 by MathLover1(6613) About Me  on 2012-08-20 21:15:40 (Show Source):
You can put this solution on YOUR website!

f%28x%29=x%5E4-x%5E2-9x-16.....if x=4, we will have:
f%284%29=4%5E4-4%5E2-9%2A4-16
f%284%29=256-16-36-16
f%284%29=256-68
f%284%29=188


Functions/639276: What's the answer to -0.38 - (-1.06) ?
1 solutions

Answer 402689 by MathLover1(6613) About Me  on 2012-08-20 21:05:07 (Show Source):


test/639291: Find the value of k if the given equation is true for x=5
x^4-x-^3-8x^2-kx-k=0
1 solutions

Answer 402688 by MathLover1(6613) About Me  on 2012-08-20 21:02:31 (Show Source):
You can put this solution on YOUR website!

Find the value of k if the given equation is true for x=5

x%5E4-x%5E3-8x%5E2-kx-k=0......plug in x=5

5%5E4-5%5E3-8%2A5%5E2-k%2A5-k=0
625-125-8%2A25-5k-k=0
500-200-6k=0
300=6k
300%2F6=k
50=k


test/639302: A = 1/2bh, for h
1 solutions

Answer 402682 by MathLover1(6613) About Me  on 2012-08-20 20:50:30 (Show Source):


Polynomials-and-rational-expressions/639308: how do you factor the following?
4x^2 -9y^2
1 solutions

Answer 402678 by MathLover1(6613) About Me  on 2012-08-20 20:44:29 (Show Source):


Linear_Algebra/639278: ((x/(1-x))+((1+x)/x))/(((1-x)/x)+(x/(1+x))
1 solutions

Answer 402677 by MathLover1(6613) About Me  on 2012-08-20 20:42:40 (Show Source):


Linear-systems/639187: I don't understand the systems
8x+4y=6
4x=3-y
I got the answers x=6/8 and y=0 im not sure if I did it correctly.
1 solutions

Answer 402623 by MathLover1(6613) About Me  on 2012-08-20 17:19:39 (Show Source):
You can put this solution on YOUR website!
8x%2B4y=6...this is a standard form
4x=3-y....->..a standard form is 4x%2By=3
you got the answers x=6%2F8 and y=0 which is correct..you can reduce x=6%2F8 to3%2F4 if you divide both numerator and denominator by 2
Solved by pluggable solver: Solve the System of Equations by Graphing



Start with the given system of equations:


8x%2B4y=6

4x%2By=3





In order to graph these equations, we need to solve for y for each equation.




So let's solve for y on the first equation


8x%2B4y=6 Start with the given equation



4y=6-8x Subtract 8+x from both sides



4y=-8x%2B6 Rearrange the equation



y=%28-8x%2B6%29%2F%284%29 Divide both sides by 4



y=%28-8%2F4%29x%2B%286%29%2F%284%29 Break up the fraction



y=-2x%2B3%2F2 Reduce



Now lets graph y=-2x%2B3%2F2 (note: if you need help with graphing, check out this solver)



+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2B3%2F2%29+ Graph of y=-2x%2B3%2F2




So let's solve for y on the second equation


4x%2By=3 Start with the given equation



1y=3-4x Subtract 4+x from both sides



1y=-4x%2B3 Rearrange the equation



y=%28-4x%2B3%29%2F%281%29 Divide both sides by 1



y=%28-4%2F1%29x%2B%283%29%2F%281%29 Break up the fraction



y=-4x%2B3 Reduce





Now lets add the graph of y=-4x%2B3 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2B3%2F2%2C-4x%2B3%29+ Graph of y=-2x%2B3%2F2(red) and y=-4x%2B3(green)


From the graph, we can see that the two lines intersect at the point (3%2F4,0) (note: you might have to adjust the window to see the intersection)


Rational-functions/639157: Write the equation of the line that passes through (–1, 5) with a slope of 2 in standard form.

1 solutions

Answer 402619 by MathLover1(6613) About Me  on 2012-08-20 17:09:21 (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: FIND a line by slope and one point

What we know about the line whose equation we are trying to find out:

  • it goes through point (-1, 5)

  • it has a slope of 2



First, let's draw a diagram of the coordinate system with point (-1, 5) plotted with a little blue dot:



Write this down: the formula for the equation, given point x%5B1%5D%2C+y%5B1%5D and intercept a, is

y=ax+%2B+%28y%5B1%5D-a%2Ax%5B1%5D%29 (see a paragraph below explaining why this formula is correct)

Given that a=2, and system%28+x%5B1%5D+=+-1%2C+y%5B1%5D+=+5+%29+, we have the equation of the line:

y=2%2Ax+%2B+7

Explanation: Why did we use formula y=ax+%2B+%28y%5B1%5D+-+a%2Ax%5B1%5D%29 ? Explanation goes here. We are trying to find equation y=ax+b. The value of slope (a) is already given to us. We need to find b. If a point (x%5B1%5D, y%5B1%5D) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for (x%5B1%5D, y%5B1%5D): y%5B1%5D+=+a%2Ax%5B1%5D%2Bb Here, we know a, x%5B1%5D, and y%5B1%5D, and do not know b. It is easy to find out: b=y%5B1%5D-a%2Ax%5B1%5D. So, then, the equation of the line is: +y=ax%2B%28y%5B1%5D-a%2Ax%5B1%5D%29+.

Here's the graph:




Polynomials-and-rational-expressions/639164: How "simple" do we need to be when asked to "simplify"? My equation reads:
+%282x%29%2F%282x%5E2-7x%2B3%29-%28x%29%2F%28x%5E2-9%29+
All I have done is simplify the denominators via foil:
+%282x%29%2F%28%282x-1%29%28x-3%29%29-%28x%29%2F%28%28x-3%29%28x%2B3%29%29+. What else can I do with this? Did I even start the right way?
Thanks :)
1 solutions

Answer 402601 by MathLover1(6613) About Me  on 2012-08-20 16:12:24 (Show Source):
You can put this solution on YOUR website!
to finish, it can be reduced to a common denominator
%282x%29%2F%28%282x-1%29%28x-3%29%29-%28x%29%2F%28%28x-3%29%28x%2B3%29%29

%282x%28x%2B3%29-x%282x-1%29%29%2F%28%282x-1%29%28x-3%29%28x%2B3%29%29

%282x%5E2%2B6x%29-%282x%5E2-x%29%29%2F%28%282x-1%29%28x-3%29%28x%2B3%29%29

%282x%5E2%2B6x-2x%5E2%2Bx%29%2F%28%282x-1%29%28x-3%29%28x%2B3%29%29

7x%2F%28%282x-1%29%28x-3%29%28x%2B3%29%29


Graphs/639144: Graph y=(x^2)+6x+1 Then state the domain and range
Please show work so I can understand :)
1 solutions

Answer 402592 by MathLover1(6613) About Me  on 2012-08-20 15:22:43 (Show Source):
You can put this solution on YOUR website!
y=%28x%5E2%29%2B6x%2B1
first, take several values for x and calculate y
x|y
0|1
1|8
-1|-4
-2|-7
-3|-8.........plot these points and draw a graph
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2B6x%2B1%29+

D: (-infinity, infinity)
R: (-8, infinity)


Travel_Word_Problems/639101: rate = 40 miles per hour, time = 3 1/2 hours
find the distance?!
1 solutions

Answer 402549 by MathLover1(6613) About Me  on 2012-08-20 12:20:52 (Show Source):


Rational-functions/639085: simplify. 2x^2 - 18 / 18 - 6x = ?/-3
1 solutions

Answer 402541 by MathLover1(6613) About Me  on 2012-08-20 10:56:47 (Show Source):


Polynomials-and-rational-expressions/639067: (3n^2 + 2n^2 + 18n) / 6n^2
I don't understand how that would work becuase it'd be fractions...please help!
1 solutions

Answer 402535 by MathLover1(6613) About Me  on 2012-08-20 09:23:45 (Show Source):
You can put this solution on YOUR website!
%283n%5E2+%2B+2n%5E2+%2B+18n%29+%2F+6n%5E2+

%285n%5E2+%2B+18n%29+%2F+6n%5E2+
n%285n+%2B+18%29+%2F+6n%5E2+
cross%28n%29%285n+%2B+18%29+%2F+6n%5Ecross%282%29+
%285n+%2B+18%29+%2F+6n+
5n%2F6n+%2B+18%2F6n+
5cross%28n%29%2F6cross%28n%29+%2B+cross%2818%293%2Fcross%286%29n+
5%2F6+%2B+3%2Fn+
now, you can set expression equal to zero and calculate n
5%2F6+%2B+3%2Fn=0+
3%2Fn=-5%2F6+
3=-%285%2F6%29n+
-3%2F%285%2F6%29=n+
-3%2A6%2F5=n+
-18%2F5=n+


Sequences-and-series/639064: What comes next in the sequence: 1, 3, 4, 7, 11 ......
1 solutions

Answer 402534 by MathLover1(6613) About Me  on 2012-08-20 09:10:13 (Show Source):
You can put this solution on YOUR website!

in the sequence: 1, 3, 4, 7, 11 ... every third term is a sum of previous two:
1%2B3=4
3%2B4=7
4%2B7=11
so, the next few numbers in the sequence 1, 3, 4, 7, 11 ... are 18, 29, and 47


Rational-functions/638943: Please help me in this. +16r%5E2%2F16r%5E3+
1 solutions

Answer 402488 by MathLover1(6613) About Me  on 2012-08-19 21:39:43 (Show Source):


Pythagorean-theorem/638929: What types of problems can the pythagorean theorem solve and what types can it not solve.
1 solutions

Answer 402486 by MathLover1(6613) About Me  on 2012-08-19 21:37:23 (Show Source):
You can put this solution on YOUR website!
We can use the Pythagorean Theorem to solve problems that involve right triangles.
The theorem is a simple formula which shows the relationship between the sides of any right triangle.
Once you know the equation a%5E2+%2B+b%5E2+=+c%5E2 is true, then you can use it to solve all kinds of problems.


Angles/638933: what is the measure of an angle that is supplementary to 102 degrees
1 solutions

Answer 402477 by MathLover1(6613) About Me  on 2012-08-19 20:55:35 (Show Source):
You can put this solution on YOUR website!
Angles are supplementary if they add to 180°.
alpha%2Bbeta=180°
given:
alpha=102°
find beta
beta=180-alpha
beta=180-102
beta=78°


test/638916: Factorize the triomial 6x^2 + 11x +4
1 solutions

Answer 402476 by MathLover1(6613) About Me  on 2012-08-19 20:50:58 (Show Source):
You can put this solution on YOUR website!

6x%5E2+%2B+11x+%2B4.....replace 11x with 8x%2B3x
6x%5E2%2B8x%2B3x%2B4....group
%286x%5E2%2B3x%29%2B%288x%2B4%29
3x%282x%2B1%29%2B4%282x%2B1%29
%282x%2B1%29%283x%2B4%29


test/638900: Which Binomial Is A Factor Of 15t(squared)-t-6?
1 solutions

Answer 402460 by MathLover1(6613) About Me  on 2012-08-19 20:19:37 (Show Source):
You can put this solution on YOUR website!

15t%5E2-t-6......replace -t with 9t-10t
15t%5E2%2B9t-10t-6.....group
%2815t%5E2-10t%29%2B%289t-6%29
5t%283t-2%29%2B3%283t-2%29
%283t-2%29%285t%2B3%29


Reduction-of-unit-multipliers/638883: Find the valuse of each expression if x=10 and y=3

5y to the third power(cubed) + 20/x ( 20 over x )
= ?
1 solutions

Answer 402455 by MathLover1(6613) About Me  on 2012-08-19 19:59:00 (Show Source):
You can put this solution on YOUR website!

5y%5E3+%2B+20%2Fx
if x=10 and y=3, then

=5%2A3%5E3+%2B+20%2F10
=5%2A27+%2B+2
=135+%2B+2
=137


Linear-systems/638846: how would i solve for
5/4 greater than or equal to -1/8
1 solutions

Answer 402423 by MathLover1(6613) About Me  on 2012-08-19 17:47:08 (Show Source):


expressions/638833: Multiply the expresstions, and simplify
(x^-2*y^3)*(2x^4*y^-2)
a) 2x^2y
b) 2x^-6y-5
c) 2(xy)^3
d) x^2y
1 solutions

Answer 402417 by MathLover1(6613) About Me  on 2012-08-19 16:43:00 (Show Source):


Functions/638732: please help me solve this equation +x%5E2%2B8x-9+
this is factor completely
1 solutions

Answer 402393 by MathLover1(6613) About Me  on 2012-08-19 13:38:52 (Show Source):


Functions/638755: please help me solve this equation +5a%2B10b-ax-2bx+
this is factor completely
1 solutions

Answer 402385 by MathLover1(6613) About Me  on 2012-08-19 12:44:07 (Show Source):


Functions/638756: please help me solve this equation +10am-2bm-5an%2Bbn+
this is factor completely
1 solutions

Answer 402383 by MathLover1(6613) About Me  on 2012-08-19 12:42:34 (Show Source):


Functions/638758: please help me solve this equation +-21rt%2B8s-28t%2B6rs+
this is factor completely
1 solutions

Answer 402382 by MathLover1(6613) About Me  on 2012-08-19 12:40:40 (Show Source):


Functions/638736: please help me solve this equation +y%5E2%2B9y%2B14+
this is factor completely
1 solutions

Answer 402373 by MathLover1(6613) About Me  on 2012-08-19 11:57:53 (Show Source):


Functions/638730: please help me solve this equation 3a%5E2b%5E2-12a%5E2b%5E2c%5E2%2B12a%5E2b%5E2c%5E4%0D%0A
this is factor each trinomial completely
1 solutions

Answer 402372 by MathLover1(6613) About Me  on 2012-08-19 11:55:22 (Show Source):
You can put this solution on YOUR website!
3a%5E2b%5E2-12a%5E2b%5E2c%5E2%2B12a%5E2b%5E2c%5E4........each term has common 3a%5E2b%5E2, factor it out
3a%5E2b%5E2%281-4c%5E2%2B4c%5E4%29
3a%5E2b%5E2%281-2c%5E2%29%5E2
3a%5E2b%5E2%281-2c%5E2%29%281%2B2c%5E2%29


Graphs/638719: Graph 2y+x=4
1 solutions

Answer 402370 by MathLover1(6613) About Me  on 2012-08-19 11:46:58 (Show Source):
You can put this solution on YOUR website!
Graph 2y%2Bx=4.........->...2y=-x%2B4....->...y=-%281%2F2%29x%2B2
here you have a linear function, and a graph will be a line; so, you need to find two points and plot them and draw the line through them
if x=0...->y=-%281%2F2%290%2B2=2
first point is (0,2)
if y=0...->0=-%281%2F2%29x%2B2....->%281%2F2%29x=2....->x=4
second point is (4,0)
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-%281%2F2%29x%2B2%29+