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 'themathtutor2009'

themathtutor2009 answered: 81 problems
Jump to solutions: 0..29 , 30..59 , 60..89, >>Next

Quadratic_Equations/307020: The sum of a number and it's reciprocal is 10 over 3. What is the number?
1 solutions

Answer 219622 by themathtutor2009(81) About Me  on 2010-05-20 22:16:27 (Show Source):
You can put this solution on YOUR website!
x+1/x=10/3

(x^2+1)/x=10/3

3(x^2+1)=10x

3x^2+3=10x

3x^2-10x+3=0

(x-3)(3x-1)=0

x-3=0 or 3x-1=0

x=3 or x=1/3

Number is 3 or 1/3


Square-cubic-other-roots/306937: wat is missing?
8x-3x=(8-?0)x
1 solutions

Answer 219578 by themathtutor2009(81) About Me  on 2010-05-20 19:22:04 (Show Source):


Square-cubic-other-roots/306920: Please help me solve this equation- +%283sqrt%282%29%29%5E3+.
1 solutions

Answer 219575 by themathtutor2009(81) About Me  on 2010-05-20 19:05:00 (Show Source):


Equations/306930: Solve or a.
1/a-1/b=p
1 solutions

Answer 219573 by themathtutor2009(81) About Me  on 2010-05-20 19:03:20 (Show Source):
You can put this solution on YOUR website!
1/a-1/b=p


b-a=pab

a=b-pab


Graphs/306928: what is the relationship between lines y=2x-7 and y=1/2x-2
parallel
perpendicular
neither
thankyou
1 solutions

Answer 219572 by themathtutor2009(81) About Me  on 2010-05-20 19:02:48 (Show Source):
You can put this solution on YOUR website!
the lines are neither parallel or perpendicular


Systems-of-equations/306635: y=2x-3
3x-5y=1
1 solutions

Answer 219402 by themathtutor2009(81) About Me  on 2010-05-19 22:30:22 (Show Source):
You can put this solution on YOUR website!
3x-5y=1

3x-5(2x-3)=1

3x-10x+15=1

-7x+15=1

-7x=-14

x=2

y=2x-3=2(2)-3=4-3=1

Answers: x=2, y=1


Quadratic_Equations/306536: Question goes here. Write clearly!
1 solutions

Answer 219392 by themathtutor2009(81) About Me  on 2010-05-19 21:32:09 (Show Source):
You can put this solution on YOUR website!
what question?


Graphs/306589: Given the function defined by t(x) = x^3 – 3x^2 – 3, find the following
t(-1)

Can anyone explain how this is done?
1 solutions

Answer 219391 by themathtutor2009(81) About Me  on 2010-05-19 21:31:50 (Show Source):
You can put this solution on YOUR website!
t(x) = x^3 – 3x^2 – 3


t(-1) = (-1)^3 – 3(-1)^2 – 3


t(-1) = -1 – 3(1) – 3


t(-1) = -1 – 3 – 3


t(-1) = -7


Square-cubic-other-roots/306599: Find the following. Assume that x can represent any real number. Use absolute value notation when necessary.
sqrt4x^2
1 solutions

Answer 219390 by themathtutor2009(81) About Me  on 2010-05-19 21:30:13 (Show Source):


Rational-functions/306610: Suppose f(5) = -5, f(-5) = 5, and f(0) = 6, while g(-5) = 0, g(5) = -5, and g(0) = 0. Find f(g(5+(-5))).
1 solutions

Answer 219388 by themathtutor2009(81) About Me  on 2010-05-19 21:29:18 (Show Source):
You can put this solution on YOUR website!
f(g(5+(-5)))=f(g(5-5))=f(g(0))=f(0)=6


Matrices-and-determiminant/306604: Hi all, Im slightly confused with answering this question because I cant answer part b) with the matrix I get for part a). (See below)
The current of I1 and I2 are connected by the equations:
9.5(I1) - 8(I2) = 27
-8)I1 + 10(I2) = -26
a) Express this system of equations in Matrix form.
b) Solve the system of equations for the currents I1 and I2 using the inverse matrix.
You cant solve for the inverese of an non-square matrix, so how do I solve for I1 and I2?
Any help would be great.

1 solutions

Answer 219387 by themathtutor2009(81) About Me  on 2010-05-19 21:28:22 (Show Source):
You can put this solution on YOUR website!
a) Matrix equation is




b) Use calculator to find inverse of %28matrix%282%2C2%2C9.5%2C-8%2C-8%2C10%29%29 or use 2x2 inverse formula.


Equations/306198: please help me solve (3x^3+2y-23)-(-5x^3-4y+17), what is it simplified?

1 solutions

Answer 219166 by themathtutor2009(81) About Me  on 2010-05-19 04:40:45 (Show Source):
You can put this solution on YOUR website!
(3x^3+2y-23)-(-5x^3-4y+17)

3x^3+2y-23+5x^3+4y-17

8x^3+6y-40


(3x^3+2y-23)-(-5x^3-4y+17)=8x^3+6y-40


logarithm/306181: Evaluate Logarithm
log4 256
1 solutions

Answer 219165 by themathtutor2009(81) About Me  on 2010-05-19 04:39:42 (Show Source):


Equations/306143: 4n-10=2n
1 solutions

Answer 219164 by themathtutor2009(81) About Me  on 2010-05-19 04:38:39 (Show Source):
You can put this solution on YOUR website!
4n-10=2n

-10=-2n

n=5


decimal-numbers/306149: whats 531 round to the nearest ten
1 solutions

Answer 219163 by themathtutor2009(81) About Me  on 2010-05-19 04:38:02 (Show Source):
You can put this solution on YOUR website!
531 rounds to 530


Graphs/306180: can you tell me if I'm correct
what is the x and y intercept?
y=1/4x-24
(6,0)(0,-24)
thanks
1 solutions

Answer 219162 by themathtutor2009(81) About Me  on 2010-05-19 04:36:24 (Show Source):
You can put this solution on YOUR website!
correct. x-intercept: (6,0), y-intercept: (0,-24)


decimal-numbers/306192: What is greater, 10%5E100 or 100%5E10?
1 solutions

Answer 219161 by themathtutor2009(81) About Me  on 2010-05-19 04:22:50 (Show Source):
You can put this solution on YOUR website!
100^10 = (10^2)^10 = 10^(20)

10^100 is the bigger number.


Linear-systems/306059: 3x+5y=-11
x-2y=11

1 solutions

Answer 219098 by themathtutor2009(81) About Me  on 2010-05-18 19:42:41 (Show Source):
You can put this solution on YOUR website!
3x+5y=-11
x-2y=11



3x+5y=-11
-3x+6y=-33

11y=-44
y=-4

x-2y=11
x-2(-4)=11
x+8=11
x=3

Answers are x=3, y=-4


Exponential-and-logarithmic-functions/306056: how do u solve this equation
2^3-y=8

1 solutions

Answer 219093 by themathtutor2009(81) About Me  on 2010-05-18 19:20:01 (Show Source):
You can put this solution on YOUR website!
2^(3-y)=8

2^(3-y)=2^3

3-y=3

-y=3-3

-y=0

y=0


Inequalities/306037: 11y+13>-1
1 solutions

Answer 219083 by themathtutor2009(81) About Me  on 2010-05-18 18:50:28 (Show Source):
You can put this solution on YOUR website!
11y+13>-1

11y>-14

y > -14/11


Trigonometry-basics/306032: solve for x: cos x - cos ² x = 0
1 solutions

Answer 219077 by themathtutor2009(81) About Me  on 2010-05-18 18:47:33 (Show Source):
You can put this solution on YOUR website!
cos x - cos ² x = 0

cos x(1-cos x) = 0

cos x = 0 or 1-cos x = 0

cos x = 0 or cos x = 1

x = pi/2+pi*n or x = 2pi*n


Linear-systems/306031: x+y=7
x-y=9

1 solutions

Answer 219071 by themathtutor2009(81) About Me  on 2010-05-18 18:43:42 (Show Source):
You can put this solution on YOUR website!
x+y=7
x-y=9

2x=16
x=8

x+y=7
8+y=7
y=-1

Answers are x=8, y=-1


Money_Word_Problems/306024: If a bank pays 4.4% interest compounded continuously, how long does it take to triple the original amount?
Here's what I tried:
y = a(1 + r)^t
3a = a(1 = 4.4) ^ t.
I solved for t by first dividing by a, then using the property of equality for logarithms and came up with .65142 but I don't understand the answer. If t represents the time period, what is it? 65% of one year??
Or did I work it wrong?
Thank you!
1 solutions

Answer 219070 by themathtutor2009(81) About Me  on 2010-05-18 18:42:30 (Show Source):
You can put this solution on YOUR website!
A=P*e^(rt)


3P=P*e^(rt)


3=e^(rt)

3=e^(0.044t)


ln(3)=0.044t


ln(3)/0.044=t


t=ln(3)/0.044


t=24.9684611


Takes about 25 years


Radicals/306027: how do u do this square root of 12 plus square root of 300
1 solutions

Answer 219065 by themathtutor2009(81) About Me  on 2010-05-18 18:37:59 (Show Source):


Rational-functions/306025: w^2-49/w+7 reduce the ration expression to lowest term
1 solutions

Answer 219061 by themathtutor2009(81) About Me  on 2010-05-18 18:29:23 (Show Source):


Polynomials-and-rational-expressions/306020: w^2-49/w+7
1 solutions

Answer 219060 by themathtutor2009(81) About Me  on 2010-05-18 18:29:02 (Show Source):


Problems-with-consecutive-odd-even-integers/305980: Hi, I'm a high school senior and need help solving a True Equation problem. I must use 0-9 to make the equation and must use each digit once.
Here is the problem (There are four problems in one question);
2+_=_
_x_=__(This one needs a double digit, i.e 22 or something)
_/_=2
_-1=_
I must use the numbers only once. I do not believe that the 2 and 1 count against the 0-9 numbers. So far I thought that this would work;
4/2=2 but now I got stuck on the rest. Originally the whole problem read;
2+6=8
5x7=12
4/2=2
_-1=_
But I don't think that works. Can you help me please?

1 solutions

Answer 219059 by themathtutor2009(81) About Me  on 2010-05-18 18:27:34 (Show Source):
You can put this solution on YOUR website!
One possible solution:

2+7=9
8 x 5=4 0
6/3=2
2-1=1


logarithm/306017: logx(8/9) rewrite as a ratio of common logrithmn
1 solutions

Answer 219053 by themathtutor2009(81) About Me  on 2010-05-18 18:13:53 (Show Source):


Miscellaneous_Word_Problems/306010: Please find a counterexample to the statement: The square of a number added to the sum of twice the number and 8 is a prime number. Justify your solution by supporting it with step by step work.
Thank you very much

1 solutions

Answer 219052 by themathtutor2009(81) About Me  on 2010-05-18 18:13:19 (Show Source):
You can put this solution on YOUR website!
Counterexample: x=2


x^2+2x+8 = 2^2+2(2)+8=4+4+8=16 is not prime


Quadratic_Equations/305971: the melting point of subtance x is -20 degrees celsius and the boiling point is 90degrees celsius. how many celsius degrees are there between the melting point nd the boiling point?
1 solutions

Answer 219026 by themathtutor2009(81) About Me  on 2010-05-18 16:47:12 (Show Source):
You can put this solution on YOUR website!
difference is 90-(-20)=90+20=110 degrees


Problems-with-consecutive-odd-even-integers/305969: Find three consecutive integers whose sum is 249
1 solutions

Answer 219024 by themathtutor2009(81) About Me  on 2010-05-18 16:44:02 (Show Source):
You can put this solution on YOUR website!
x+(x+1)+(x+2)=249
3x+3=249
3x=249-3
3x=246
x=246/3
x=82
numbers are 82, 83, 84