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MathLover1 answered: 6623 problems
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Square-cubic-other-roots/642308: Aaah! What is the square root of 7x divided by 50? Or how would I go about solving this?
1 solutions

Answer 404043 by MathLover1(6625) About Me  on 2012-08-28 13:36:52 (Show Source):
You can put this solution on YOUR website!
sqrt+%287x+%29%2F50=sqrt%287%29%2Asqrt%28x%29%2F50
root: x=0
domain: all non-negative real numbers ...x%3E=0
range: all non-negative real numbers ...y%3E=0


Linear-systems/642310: I am trying to find the break analysis which I know how to do. I just need to solve for x but right now I have this equation:
-2x^2 + 300x = 7200 + 60x
How do I get rid of the exponent -2x^2 so I can have an answer that is
x=?
1 solutions

Answer 404038 by MathLover1(6625) About Me  on 2012-08-28 13:23:03 (Show Source):
You can put this solution on YOUR website!
-2x%5E2+%2B+300x+=+7200+%2B+60x
-2x%5E2+%2B+300x+-60x-7200=0+
-2x%5E2+%2B+240x+-7200=0+.........each term divide by 2
-x%5E2+%2B+120x+-3600=0+....pull minus out of parenthesizes...note: 120x you can write as 2%2A60 and 3600 as 60%5E2
so, you have
-%28x%5E2+-2%2A60x+%2B60%5E2%29=0+...which is squared difference
-%28x+-60%29%5E2=0+
-%28x+-60%29%28x+-60%29=0+
so, solutions are:-%28x+-60%29=0+...=>...-x+%2B60=0+...=>...60=x+
second solution is same
+graph%28+600%2C+600%2C+-10%2C+85%2C+-40%2C+20%2C-x%5E2+%2B120x+-3600%29+



Quadratic_Equations/642261: solve x for y=0 ..y=2x squared + 1
1 solutions

Answer 404017 by MathLover1(6625) About Me  on 2012-08-28 11:07:42 (Show Source):
You can put this solution on YOUR website!
solve x for y=0
y=2x%5E2%2B+1......plug in y=0
0=2x%5E2%2B+1
-1=2x%5E2
-1%2F2=x%5E2
sqrt%28-1%2F2%29=x
solutions:
sqrt%28-1%2F2%29=x...=>..sqrt%28-1%29%2Fsqrt%282%29=x..=>...i%2Fsqrt%282%29=x
-sqrt%28-1%2F2%29=x..=>...-i%2Fsqrt%282%29=x


Equations/642260: I understand dividing basic binomial and polynomials. But I'm stuck on this on. -64x^7+48x^5+36x^3+24x divided by 8x^4. I got -8x^3+6x....then I'm stuck. The books answer doesn't make sense to me. Can you explain what to do with the remainders? Book says next would be 9/2x+3/x^3 to finish the answer. But I can't make it work. I understand that the x is on the bottom because you subtracted an x. But where do the other numbers come from?
1 solutions

Answer 404015 by MathLover1(6625) About Me  on 2012-08-28 10:53:55 (Show Source):


Triangles/642235: The sum of angles of a triangle is 180degree and Exterior angle of a triangle is equal to sum of interior opposite angle.
1 solutions

Answer 404009 by MathLover1(6625) About Me  on 2012-08-28 10:32:34 (Show Source):
You can put this solution on YOUR website!
I guess, you need a proof.


1. angle ACE ie exterior angle of triangle ABC.....| given
2. mA+mB+mACB=180..............................................|the sum theorem
3. m ACE +m ACB=180........................................|def. of linear pair
4. mA+mB+mACB=m ACE +mACB........................|transitive property
5. mA +mB=m ACE.........................................|subtraction property


Triangles/642251: Hello, can anyone help me with solving this?
Two sides of a triangle have the same length. The third side measures 3m less than twice the common length. The perimeter of the triangle is 13m.
What is the length of the two sides that have the same length?
What is the length of the third side?
1 solutions

Answer 404004 by MathLover1(6625) About Me  on 2012-08-28 09:55:39 (Show Source):
You can put this solution on YOUR website!

given:
Two sides of a triangle have the same+length.
let's sides be a and b....=>...a=b
The third side c measures 3m+less than twice the common length.
c%2B3m=2a...=>...%28c%2B3m%29%2F2=a
The perimeter of the triangle is 13m.
P=13m
solution:
P=a%2Bb%2Bc....since a=b and P=13m, we have
13m=a%2Ba%2Bc
13m=2a%2Bc...since c%2B3m=2a, we have
13m=c%2B3m%2Bc
13m=2c%2B3m...solve for c
13m-3m=2c
10m=2c
10m%2F2=c
highlight%285m=c%29
now find %28c%2B3m%29%2F2=a
%285m%2B3m%29%2F2=a
8m%2F2=a
highlight%284m=a%29
now find b....since...a=b..=>...highlight%284m=b%29






Average/642217: 5m^2+m=1??
give the values of a,b,and c for each equation (rewrite each equation in the form ax^2+bx+c=0 if necessary thanks so much for the help!!!
1 solutions

Answer 404000 by MathLover1(6625) About Me  on 2012-08-28 09:43:44 (Show Source):
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5m%5E2%2Bm=1 ...first rewrite equation in the forma x%5E2%2Bbx%2Bc=0
5m%5E2%2B1%2Am-1=0....now compare it to x%5E2%2Bbx%2Bc=0 and you will see that the value of a=5,value of b=1,and value of c=-1


logarithm/642253: solve for x:
(e^4)^3x=e^4e^3x
1 solutions

Answer 403999 by MathLover1(6625) About Me  on 2012-08-28 09:37:26 (Show Source):
You can put this solution on YOUR website!
%28e%5E4%29%5E%283x%29=e%5E4e%5E%283x%29
e%5E%2812x%29=e%5E%283x%2B4%29....if bases equal, exponents are equal too; so, you have
12x=3x%2B4
12x-3x=4
9x=4
x=4%2F9


Polynomials-and-rational-expressions/642248: Factor the polynomial 7y^6−6y^5. Your answer can be written as y^a(Ay^b+B) where
a equals:
A equals:
b equals:
B equals:

1 solutions

Answer 403997 by MathLover1(6625) About Me  on 2012-08-28 09:22:12 (Show Source):
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7y%5E6-6y%5E5.
y%5E5%287y-6%29.

Your answer can be written as y%5Ea%28Ay%5Eb%2BB%29 where
a equals: 5
A equals:7
b equals:1
B equals:-6


testmodule/642133: Is 7 and 2/3 Rational Or Irrational ?
1 solutions

Answer 403966 by MathLover1(6625) About Me  on 2012-08-27 23:00:12 (Show Source):
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7%282%2F3%29=23%2F3=7.666666666666666.........6 repeating....can be written as a ratio of two integers..so, answer is: Rational


Quadratic-relations-and-conic-sections/642119: Could someone explain too me, how to solve this problem, it would be much appreicated.
A parabola with equation y = ax^2 + bx passes through the two points (-1,3) and (4,-2).
(a) Use algebra to find its equation.
Hint: Set up a system of two simultaneous equations.
and could you please explain the steps you go through to get the end result.
1 solutions

Answer 403964 by MathLover1(6625) About Me  on 2012-08-27 22:52:09 (Show Source):
You can put this solution on YOUR website!
A parabola with equation y+=+ax%5E2+%2B+bx passes through the two points (-1,3) and (4,-2)
you need to find the three unknown coefficients a and b
Insert each of the 2 points and you will get 2 equations with 2 unknowns:
3+=+a%28-1%29%5E2+%2B+b%28-1%29.....1
-2+=+a%284%29%5E2+%2B+b%284%29.....2
_____________________solve this system by substitution
3+=+a%28-1%29%5E2+%2B+b%28-1%29.....1....solve for a
3+=+a+-b
3+%2Bb=+a ..........................substitute in 2
-2+=+%283+%2Bb%29%284%29%5E2+%2B+b%284%29.....2....solve for b
-2+=+%283+%2Bb%29%2A16+%2B+4b
-2+=+48+%2B16b+%2B+4b
-2+-+48+=20b
-50=20b
highlight%28-2.5=b%29
now find a
3+%2Bb=+a
3+-2.5=+a
highlight%280.5=+a%29
y+=+ax%5E2+%2B+bx........plug in a and b
y+=0.5x%5E2+-2.5x

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+0.5x%5E2+-2.5x%29+



real-numbers/641886: what are some examples of irrational numbers?
1 solutions

Answer 403885 by MathLover1(6625) About Me  on 2012-08-27 17:50:28 (Show Source):
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An irrational number is a real number that cannot be written as a simple fraction.
some examples of irrational numbers:

The popular approximation of 22%2F7+=+3.1428571428571... is close but not accurate.
Many square roots, cube roots, etc are also irrational numbers. Examples: sqrt+%282%29, sqrt+%283%29,sqrt+%2899%29


Radicals/641889: what is the broken down square root of 192

1 solutions

Answer 403875 by MathLover1(6625) About Me  on 2012-08-27 17:32:14 (Show Source):


test/641888: 4x^2 divided by 8x^3

1 solutions

Answer 403871 by MathLover1(6625) About Me  on 2012-08-27 17:26:31 (Show Source):


Sequences-and-series/641799: explain why 400% od 5 and 4% of 599 are the same amount
1 solutions

Answer 403817 by MathLover1(6625) About Me  on 2012-08-27 14:18:50 (Show Source):
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400% you can write as 400%2F100 and 4%2F100
%28400%2F100%295=%284%2F100%29599
4%2A5=.04%2A599
20=23.96....not equal
I guess your question should be: why 400% od 5 and 4% of 500 are the same amount
%28400%2F100%295=%284%2F100%29500
4%2A5=.04%2A500
20=20....equal
so, why?...because 4:0.04=500:5...inverses


Exponents/641760: Solve x in the following exponential equation +2%5E%282x%29+%2A+4%5E%284x%2B8%29+=64+
1 solutions

Answer 403807 by MathLover1(6625) About Me  on 2012-08-27 13:44:56 (Show Source):
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+2%5E%282x%29+%2A+4%5E%284x%2B8%29+=64+
+2%5E%282x%29+%2A+2%5E2%284x%2B8%29+=2%5E6+
+2%5E%282x%29+%2A+2%5E%288x%2B16%29+=2%5E6+
+2%5E%282x%2B8x%2B16%29+=2%5E6+
+2%5E%2810x%2B16%29+=2%5E6+
if base equal, exponents are equal too

+10x%2B16=6+.
+10x=6-16+
+10x=-10+
+x=-1+

check:
+2%5E%282%28-1%29%29+%2A+4%5E%284%28-1%29%2B8%29+=64+
+2%5E%28-2%29+%2A+4%5E%28-4%2B8%29+=64+

+%281%2F2%5E2%29+%2A+4%5E4+=64+

+%281%2F4%29+%2A+256+=64+


++256%2F4+=64+


+64+=64+


Linear-equations/641784: given the function defined by t(x)=x^3-3x^2+2x-3 find the following t(10)
1 solutions

Answer 403801 by MathLover1(6625) About Me  on 2012-08-27 13:19:19 (Show Source):
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t%28x%29=x%5E3-3x%5E2%2B2x-3...to find the t%2810%29, replace x with 10
t%2810%29=10%5E3-3%2A10%5E2%2B2%2A10-3
t%2810%29=1000-300%2B20-3
t%2810%29=717


Functions/641783: What is the domain of the function f(x)=x-6?
1 solutions

Answer 403800 by MathLover1(6625) About Me  on 2012-08-27 13:15:45 (Show Source):
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Solved by pluggable solver: Plot a graph of any function AND its DOMAIN

Here's a graph of function y=x-6 (y=x-6).

The domain is shown on the x axis by a green horizontal line.

graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+y=x-6%2C+domain%28+y=x-6+%29+%29



so, the domain is all real numbers
(-infinity,infinity)


test/641749: an = 5n + 2 for 0 < n < 6

The last term of the sequence is ? How do I solve this?


1 solutions

Answer 403793 by MathLover1(6625) About Me  on 2012-08-27 12:34:03 (Show Source):
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an+=+5n+%2B+2 for 0+%3C+n+%3C+6....n is less than 6; means greatest value you can take for n is n=5
The last term of the sequence is:
an+=+5n+%2B+2
an+=+5%2A5+%2B+2
an+=+25+%2B+2
an+=+27


Exponents/641766: Solve x in the following exponential notation 9%5E%282x%2B1%29=243
1 solutions

Answer 403789 by MathLover1(6625) About Me  on 2012-08-27 11:59:47 (Show Source):


Exponents/641769: simplify using laws of exponents %28-3d%5E3y%5E4%29%289d%5E4%29%2F%28-8d%5E5y%5E3%29%28-2d%5E3y%5E4%29
1 solutions

Answer 403787 by MathLover1(6625) About Me  on 2012-08-27 11:52:06 (Show Source):


Graphs/641758: y is greater than or equal to -3
1 solutions

Answer 403784 by MathLover1(6625) About Me  on 2012-08-27 11:21:43 (Show Source):
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y%3E=-3
[-3,infinity)
Solved by pluggable solver: Plot a graph of any function AND its DOMAIN

Here's a graph of function y%3E=-3 (y>=-3).

The domain is shown on the x axis by a green horizontal line.

graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+y%3E=-3%2C+domain%28+y%3E=-3+%29+%29



test/641735: What do you get when you plot this equation in a graph x^2+y^2=64?
Straight line
square
parabola or a
circle
1 solutions

Answer 403775 by MathLover1(6625) About Me  on 2012-08-27 10:11:34 (Show Source):
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x%5E2%2By%5E2=64
y%5E2=-x%5E2%2B64
y=%2B-sqrt%28-x%5E2%2B64%29
if x=0...=>...y=8 or y=-8
if y=0...=>...x=8 or x=-8

so, your answer is: +circle


test/641719: 29x+29y
1 solutions

Answer 403772 by MathLover1(6625) About Me  on 2012-08-27 09:59:46 (Show Source):


test/641720: ab+2bc
1 solutions

Answer 403771 by MathLover1(6625) About Me  on 2012-08-27 09:58:53 (Show Source):


Numbers_Word_Problems/641699: one number is 7 more than another and its square is 77 more than the square of the smaller number.what are the numbers?

1 solutions

Answer 403769 by MathLover1(6625) About Me  on 2012-08-27 09:28:49 (Show Source):
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one number x is 7 more than another number y;
x=y%2B7.........1
and its square x%5E2is 77 more than the square of the smaller y%5E2
x%5E2=y%5E2%2B77...............2
_______________________________
x=y%2B7.........1
x%5E2=y%5E2%2B77...............2.....solve the system
_________________________________
x=y%2B7.........1...plug in 2 and solve for y
%28y%2B7%29%5E2=y%5E2%2B77...............2

y%5E2%2B14y%2B49=y%5E2%2B77

cross%28y%5E2%29%2B14y=cross%28y%5E2%29%2B77-49
14y=28
y=28%2F14
highlight%28y=2%29...now find x
x=2%2B7.........1
highlight%28x=9%29




Angles/641700: Two supplementary angles differ by 44.Find the angles.

1 solutions

Answer 403768 by MathLover1(6625) About Me  on 2012-08-27 09:18:15 (Show Source):
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Supplementary angles add up to 180°.
alpha%2Bbeta=180..........1
given:
alpha-beta=44...........2
___________________________________
alpha%2Bbeta=180..........1...solve for alpha
alpha=180-beta.......plug it in 2
________________________________________
180-beta-beta=44...........2
180-2beta=44
180-44=2beta
136=2beta
136%2F2=beta
highlight%2868=beta%29....now find alpha
alpha=180-beta
alpha=180-68
highlight%28alpha=112%29






test/641564: How do i write an equation for this in standard form?
(0,2) , (-2,0)
1 solutions

Answer 403723 by MathLover1(6625) About Me  on 2012-08-26 21:49:05 (Show Source):
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Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (0, 2) and (x2, y2) = (-2, 0).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%280-2%29%2F%28-2-0%29+=+1.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 1%2A0+%2Bb+=+2. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=2-1%2A0+=+2.

y=(1)x + (2)

Your graph:




in standard form Ax+%2B+By+=+C, you will have
-x+%2B+y+=+2


test/641549: x - 5 + 6x = -2 + 7x
I cant find a solution? An u help?
1 solutions

Answer 403707 by MathLover1(6625) About Me  on 2012-08-26 20:08:26 (Show Source):
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x+-5+%2B+6x+=+-2+%2B+7x
-5+%2B+7x+=+-2+%2B+7x
-5+%2B+2+=+-7x+%2B+7x
-3+=+0.......no solution


Expressions-with-variables/641518: 1) 3y+16=22
2)4x+7=9x-13
3)-7x=15-2x
4)24-(x/3)=6
5)(2/3)x-(1/4)=(1/6)x-(1/9)
Please help me
1 solutions

Answer 403702 by MathLover1(6625) About Me  on 2012-08-26 19:42:29 (Show Source):
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1)
3y%2B16=22
3y=22-16
3y=6
y=6%2F3
y=2
2)
4x%2B7=9x-13
13%2B7=9x-4x
20=5x
20%2F5=x
4=x

3)
-7x=15-2x
-15=7x-2x
-15=5x
-15%2F5=x
-3=x
4)
24-%28x%2F3%29=6
24-6=x%2F3
18=x%2F3
18%2A3=x
54=x
5)
%282%2F3%29x-%281%2F4%29=%281%2F6%29x-%281%2F9%29
%282%2F3%29x-%281%2F6%29x=%281%2F4%29-%281%2F9%29
%28%282%2A2-1%2A1%29%2F6%29x=%281%2A9-1%2A4%29%2F36
%28%284-1%29%2F6%29x=%289-4%29%2F36
%283%2F6%29x=5%2F36
%28cross%283%291%2Fcross%286%292%29x=5%2F36
x%2F2=5%2F36
x=%285%2F36%292
x=%285%2Fcross%2836%2918%29cross%282%291
x=5%2F18
x=0.28


Polynomials-and-rational-expressions/641517: I need to completely factor 36r^2-5r-24.
1 solutions

Answer 403695 by MathLover1(6625) About Me  on 2012-08-26 19:12:22 (Show Source):
You can put this solution on YOUR website!
36r%5E2-5r-24....replace -5r with -32r%2B27r
36r%5E2-32r%2B27r-24
%2836r%5E2-32r%29%2B%2827r-24%29
4r%289r-8%29%2B3%289r-8%29
%284r%2B3%29%289r-8%29