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Average/750734: how do I solve this equation?
(y-6)-(y+5)= 2y
1 solutions

Answer 456793 by jim_thompson5910(28598) About Me  on 2013-05-20 14:32:31 (Show Source):
You can put this solution on YOUR website!
1%28y-6%29-1%28y%2B5%29=2y Start with the given equation.


y-6-y-5=2y Distribute.


-11=2y Combine like terms on the left side.


0=2y%2B11 Add 11 to both sides.


-2y=11 Subtract 2y from both sides.


y=%2811%29%2F%28-2%29 Divide both sides by -2 to isolate y.


y=-11%2F2 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is y=-11%2F2 which in decimal form is y+=+-5.5


Square-cubic-other-roots/750728: cube root of 368
1 solutions

Answer 456792 by jim_thompson5910(28598) About Me  on 2013-05-20 14:29:54 (Show Source):


test/750726: graph the equation y=6-2x
1 solutions

Answer 456790 by jim_thompson5910(28598) About Me  on 2013-05-20 14:28:24 (Show Source):
You can put this solution on YOUR website!
6-2x is the same as -2x + 6

Looking at y=-2x%2B6 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-2 and the y-intercept is b=6


Since b=6 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point




Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun

Also, because the slope is -2, this means:

rise%2Frun=-2%2F1


which shows us that the rise is -2 and the run is 1. This means that to go from point to point, we can go down 2 and over 1



So starting at , go down 2 units


and to the right 1 unit to get to the next point



Now draw a line through these points to graph y=-2x%2B6

So this is the graph of y=-2x%2B6 through the points and


test/750801: how many combinations can be formed from the letters in LEAST, taking them 2 at a time?
1 solutions

Answer 456789 by jim_thompson5910(28598) About Me  on 2013-05-20 14:27:42 (Show Source):
You can put this solution on YOUR website!
There are 5 C 2 = (5!)/(2!*(5-2)!) = 10 different combinations.


Quadratic_Equations/750569: 2a^2-46a+254=0 thanks

1 solutions

Answer 456701 by jim_thompson5910(28598) About Me  on 2013-05-19 21:52:46 (Show Source):
You can put this solution on YOUR website!
Use the quadratic formula to solve for 'a'

a+=+%28-B%2B-sqrt%28B%5E2-4AC%29%29%2F%282A%29

a+=+%28-%28-46%29%2B-sqrt%28%28-46%29%5E2-4%282%29%28254%29%29%29%2F%282%282%29%29

a+=+%2846%2B-sqrt%282116-%282032%29%29%29%2F%284%29

a+=+%2846%2B-sqrt%2884%29%29%2F4

a+=+%2846%2Bsqrt%2884%29%29%2F4 or a+=+%2846-sqrt%2884%29%29%2F4

a+=+%2846%2B2%2Asqrt%2821%29%29%2F4 or a+=+%2846-2%2Asqrt%2821%29%29%2F4

a+=+%2823%2Bsqrt%2821%29%29%2F2 or a+=+%2823-sqrt%2821%29%29%2F2


Square-cubic-other-roots/750509: Please help me solve this equation: x^3= 716.2
I need to find x.
1 solutions

Answer 456637 by jim_thompson5910(28598) About Me  on 2013-05-19 18:34:12 (Show Source):
You can put this solution on YOUR website!
x^3= 716.2

(x^3)^(1/3)= (716.2 )^(1/3) ... raise both sides to the 1/3 power

x = (716.2 )^(1/3)

x = 8.94701376606746 ... Use a calculator to evaluate the right side (this is approximate)


percentage/750508: A person's secondary income is $1225 and is 25% of total income and the primary income is 60% of total income, what is the total income for this person?
1 solutions

Answer 456635 by jim_thompson5910(28598) About Me  on 2013-05-19 18:30:50 (Show Source):
You can put this solution on YOUR website!
$1225 is 25% of total income, so

0.25x = 1225

x = 1225/0.25

x = 4900

So the total income is $4,900 (per month it sounds like it)


Polynomials-and-rational-expressions/750506: What is the answer and explained work for and list any restrictions. 8(z+1)^3/24z^2+4z-20
1 solutions

Answer 456632 by jim_thompson5910(28598) About Me  on 2013-05-19 18:27:51 (Show Source):
You can put this solution on YOUR website!
%288%28z%2B1%29%5E3%29%2F%2824z%5E2%2B4z-20%29

%288%28z%2B1%29%5E3%29%2F%284%286z%5E2%2Bz-5%29%29

%288%28z%2B1%29%5E3%29%2F%284%286z-5%29%28z%2B1%29%29

%288%28z%2B1%29%28z%2B1%29%5E2%29%2F%284%286z-5%29%28z%2B1%29%29



%288%2Across%28%28z%2B1%29%29%28z%2B1%29%5E2%29%2F%284%286z-5%29cross%28%28z%2B1%29%29%29

%288%2A%28z%2B1%29%5E2%29%2F%284%286z-5%29%29

%282%2A%28z%2B1%29%5E2%29%2F%286z-5%29

=======================================================

%288%28z%2B1%29%5E3%29%2F%2824z%5E2%2B4z-20%29

simplifies to

%282%2A%28z%2B1%29%5E2%29%2F%286z-5%29

which can be written as %282%2A%28z%5E2%2B2z%2B1%29%29%2F%286z-5%29 or %282z%5E2%2B4z%2B2%29%2F%286z-5%29

Restrictions: z%3C%3E5%2F6 and z%3C%3E-1

These restrictions are put in place to avoid dividing by zero.


Linear-equations/750504: Write the equation of the line that passes through (1,3) with a slope of 5.
1 solutions

Answer 456628 by jim_thompson5910(28598) About Me  on 2013-05-19 18:23:43 (Show Source):
You can put this solution on YOUR website!
y+=+mx%2Bb

3+=+%285%29%281%29%2Bb

3+=+5%2Bb

3-5+=+b

-2+=+b

b+=+-2

So the equation of the line is y+=+5x-2


Distributive-associative-commutative-properties/750505: 4x+3y
1 solutions

Answer 456627 by jim_thompson5910(28598) About Me  on 2013-05-19 18:23:17 (Show Source):
You can put this solution on YOUR website!
Not sure what you want to do here. Please post the FULL instructions. Thank you.


Polynomials-and-rational-expressions/750503: Divide 36t^6-27t^5-9t^2/-9t^2 how would I do this step by step?
Thank you,
Cassie
1 solutions

Answer 456626 by jim_thompson5910(28598) About Me  on 2013-05-19 18:22:39 (Show Source):
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%2836t%5E6-27t%5E5-9t%5E2%29%2F%28-9t%5E2%29

%2836t%5E6%29%2F%28-9t%5E2%29-%2827t%5E5%29%2F%28-9t%5E2%29-%289t%5E2%29%2F%28-9t%5E2%29

-4t%5E%286-2%29%2B3t%5E%285-2%29%2Bt%5E%282-2%29

-4t%5E4%2B3t%5E3%2Bt%5E0

-4t%5E4%2B3t%5E3%2B1

=======================================================

So

%2836t%5E6-27t%5E5-9t%5E2%29%2F%28-9t%5E2%29

simplifies to

-4t%5E4%2B3t%5E3%2B1


Linear-equations/750502: Write the equation of the line that passes through (6, -2) with slope of -3.
1 solutions

Answer 456625 by jim_thompson5910(28598) About Me  on 2013-05-19 18:20:08 (Show Source):
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y+=+mx%2Bb

-2+=+%28-3%29%286%29%2Bb

-2+=+-18%2Bb

-2%2B18+=+b

16+=+b

b+=+16

So the equation of the line is y+=+-3x%2B16


Polynomials-and-rational-expressions/750501: (2ag squared) to the fourth power times (3a squared g cubed) squared
1 solutions

Answer 456623 by jim_thompson5910(28598) About Me  on 2013-05-19 18:19:16 (Show Source):
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(2ag^2)^4*(3a^2g^3)^2

2^4*a^4*(g^2)^4*(3^2)*(a^2)^2*(g^3)^2

16*a^4*(g^2)^4*9*(a^2)^2*(g^3)^2

16*9*a^4*(g^2)^4*(a^2)^2*(g^3)^2

144*a^4*(g^2)^4*(a^2)^2*(g^3)^2

144*a^4*g^(2*4)*a^(2*2)*g^(3*2)

144*a^4*g^8*a^4*g^6

144*(a^4*a^4)*(g^8*g^6)

144*a^(4+4)*g^(8+6)

144*a^8*g^14

Final Answer: 144*a^8*g^14



Probability-and-statistics/750500: how many permutations are there of the letters in CALIFORNIA?
1 solutions

Answer 456622 by jim_thompson5910(28598) About Me  on 2013-05-19 18:16:20 (Show Source):
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There are 10 letters where

A shows up twice

and

I shows up twice

So there are (10!)/(2!*2!) = 907,200 permutations


Rational-functions/750498: (42x^(5)y^(7))/(6xy^(3))
1 solutions

Answer 456621 by jim_thompson5910(28598) About Me  on 2013-05-19 18:13:37 (Show Source):
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(42x^(5)y^(7))/(6xy^(3))

(7x^(5)y^(7))/(xy^(3))

7x^(5-1)y^(7-3)

7x^4y^4

Final Answer: 7x^4y^4


Rational-functions/750497: (9x^(3)y)/(27x^(5)y^(7))
1 solutions

Answer 456620 by jim_thompson5910(28598) About Me  on 2013-05-19 18:10:34 (Show Source):
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(9x^(3)y)/(27x^(5)y^(7))

(x^(3)y)/(3x^(5)y^(7))

(x^(3-5)y^(1-7))/(3)

(x^(-2)y^(-6))/(3)

1/(3x^2y^6)

Final Answer: 1/(3x^2y^6)


Inequalities/750496: -8 [2 1/2 + (3 x 6 - 2) ]
1 solutions

Answer 456618 by jim_thompson5910(28598) About Me  on 2013-05-19 18:08:37 (Show Source):
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-8 [2 1/2 + (3 x 6 - 2) ]

-8 [5/2 + (3 x 6 - 2) ]

-8 [5/2 + (18 - 2) ]

-8 [5/2 + (16) ]

-8 [5/2 + 16 ]

-8 [5/2 + 32/2 ]

-8 [37/2 ]

-296/2

-148

Final Answer: -148


Equations/750495: Question Removed (inappropriate content)
1 solutions

Answer 456617 by jim_thompson5910(28598) About Me  on 2013-05-19 18:06:20 (Show Source):
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Question Removed (inappropriate content)


Expressions-with-variables/750494: what does x and y equal using substituition in both equations 2x+y=0; x=3y=-56
1 solutions

Answer 456615 by jim_thompson5910(28598) About Me  on 2013-05-19 18:05:42 (Show Source):
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The second equation has too many equal signs, please fix this, thank you


Parallelograms/750492: Parallelogram ABCD has obtuse angles that are twice as big as the acute angles. What is the measurement of each acute angle?
1 solutions

Answer 456614 by jim_thompson5910(28598) About Me  on 2013-05-19 18:05:02 (Show Source):
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Let x = measure of acute angle, so 2x is the obtuse angle (since it's twice as big). Adjacent angles in a parallelogram add to 180 degrees, so we can say

x + 2x = 180 ... now solve for x

3x = 180

x = 180/3

x = 60

2x = 2*60

x = 120

So the obtuse angles are 120 degrees and the acute angles are 60 degrees


Money_Word_Problems/750487: I want to get a lap top and 3 years ago I put $80:00 dollars in the bank how much interests would I have earned
1 solutions

Answer 456608 by jim_thompson5910(28598) About Me  on 2013-05-19 17:47:59 (Show Source):
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It will depend on the interest rate and how the interest is compounded. So some information is missing and the question cannot be answered until this information is given.


Geometry_Word_Problems/750486: f(x) = x^2 find f(0), f(2), and f(-2)
1 solutions

Answer 456605 by jim_thompson5910(28598) About Me  on 2013-05-19 17:42:56 (Show Source):
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f(x) = x^2

f(0) = 0^2 ... replace all copies of x with 0

f(0) = 0

-------------------------------------------------------

f(x) = x^2

f(2) = 2^2

f(2) = 4

-------------------------------------------------------

f(x) = x^2

f(-2) = (-2)^2

f(-2) = 4


Geometry_Word_Problems/750485: f(x) = x^2
1 solutions

Answer 456604 by jim_thompson5910(28598) About Me  on 2013-05-19 17:40:21 (Show Source):
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If you want to graph, then you would get this



Equations/750447: 5(y-2)-2=2(y+10)-5
1 solutions

Answer 456603 by jim_thompson5910(28598) About Me  on 2013-05-19 17:38:15 (Show Source):
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5%28y-2%29-2=2%28y%2B10%29-5 Start with the given equation.


5y-10-2=2y%2B20-5 Distribute.


5y-12=2y%2B20-5 Combine like terms on the left side.


5y-12=2y%2B15 Combine like terms on the right side.


5y=2y%2B15%2B12 Add 12 to both sides.


5y-2y=15%2B12 Subtract 2y from both sides.


3y=15%2B12 Combine like terms on the left side.


3y=27 Combine like terms on the right side.


y=%2827%29%2F%283%29 Divide both sides by 3 to isolate y.


y=9 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is y=9


Problems-with-consecutive-odd-even-integers/750454: (7)/(14x)
1 solutions

Answer 456602 by jim_thompson5910(28598) About Me  on 2013-05-19 17:37:42 (Show Source):
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(7)/(14x) = 1/(2x)


Equations/750446: -50=-2(a+3)
1 solutions

Answer 456601 by jim_thompson5910(28598) About Me  on 2013-05-19 17:37:13 (Show Source):
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-50=-2(a+3)

-50=-2a-6

0=-2a-6+50

2a=-6+50

2a=44

a=(44)/(2)

a=22


Rational-functions/750457: (x-7)/(x^(2)-49)
1 solutions

Answer 456600 by jim_thompson5910(28598) About Me  on 2013-05-19 17:36:37 (Show Source):
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(x-7)/(x^2-49)

(x-7)/((x-7)(x+7))

1/(x+7)

Answer: 1/(x+7)


Linear-equations/750430: graf y=x-2
1 solutions

Answer 456599 by jim_thompson5910(28598) About Me  on 2013-05-19 17:35:55 (Show Source):
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Looking at y=x-2 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=1 and the y-intercept is b=-2


Since b=-2 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point




Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun

Also, because the slope is 1, this means:

rise%2Frun=1%2F1


which shows us that the rise is 1 and the run is 1. This means that to go from point to point, we can go up 1 and over 1



So starting at , go up 1 unit


and to the right 1 unit to get to the next point



Now draw a line through these points to graph y=x-2

So this is the graph of y=x-2 through the points and


Equations/750456: x/5-x=4

1 solutions

Answer 456598 by jim_thompson5910(28598) About Me  on 2013-05-19 17:34:39 (Show Source):
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x/(5-x)=4

x=4(5-x)

x=20-4x

x+4x=20

5x=20

x=20/5

x=4


Exponents/750483: multiply this problem
(2a+2)^3=
1 solutions

Answer 456596 by jim_thompson5910(28598) About Me  on 2013-05-19 17:33:37 (Show Source):
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(2a+2)^3 = (2a+2)(2a+2)(2a+2)

(2a+2)^3 = (2a+2)(4a^2 + 8a + 4)

(2a+2)^3 = 2a(4a^2 + 8a + 4) + 2(4a^2 + 8a + 4)

(2a+2)^3 = 8a^3 + 16a^2 + 8a + 8a^2 + 16a + 8

(2a+2)^3 = 8a^3 + 24a^2 + 24a + 8


Sequences-and-series/750464: Please help with me
Find the fractions equal to the given decimals
1. 0.55555
1 solutions

Answer 456594 by jim_thompson5910(28598) About Me  on 2013-05-19 17:31:57 (Show Source):
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x = 0.55555
10x = 5.5555


10x - x = 5.5555 - 0.55555

9x = 5

x = 5/9

Answer: 5/9 = 0.555555....