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Problems-with-consecutive-odd-even-integers/382879: Use polynomial long division to divide
3x^3 + 8x^2 – 13x – 4
by
x^2 + 4x + 1 please help me and show show me the steps
1 solutions

Answer 271239 by Fombitz(13828) About Me  on 2010-12-08 08:14:27 (Show Source):
You can put this solution on YOUR website!

                 3x - 4
             __________________________
x^2 + 4x + 1 | 3x^3 +  8x^2  - 13x - 4
           -  (3x^3 + 12x^2  +  3x)
             ------------------------
                       -4x^2 - 16x - 4 
                   -  (-4x^2 - 16x - 4) 
                      -----------------
                                     0

%283x%5E3+%2B++8x%5E2++-13x-+4%29%2F%28x%5E2+%2B+4x+%2B+1%29=+highlight%28%283x+-+4%29%29


Linear-equations/382799: m/n+2=t/v (v)
1 solutions

Answer 271238 by Fombitz(13828) About Me  on 2010-12-08 08:10:33 (Show Source):


Equations/382878: Factor-
20x+12x^2
1 solutions

Answer 271237 by Fombitz(13828) About Me  on 2010-12-08 08:09:38 (Show Source):


Graphs/382793: Graph this system of inequalities
{9x^2+25y^2<=225
{x^2+4y^2>=16
1 solutions

Answer 271236 by Fombitz(13828) About Me  on 2010-12-08 08:09:13 (Show Source):
You can put this solution on YOUR website!
If you graph 9x%5E2%2B25y%5E2=225, you get an ellipse.
.
.
.

.
When you pick a point (0,0) and test the inequality.
0%2B0%3C=225
The solution region is the area inside of the ellipse.
.
Solved by pluggable solver: Plot Any Inequality
Graphing function 9x%5E2%2B25y%5E2%3C=225:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+9x%5E2%2B25y%5E2%3C=225+%29

.
Similarly if you graph x%5E2%2B4y%5E2=16, you also get an ellipse.
.

.
When you pick a point (0,0) and test the inequality.
0%2B0%3E=225
The solution region is the area outside of the ellipse.
.
Solved by pluggable solver: Plot Any Inequality
Graphing function x%5E2%2B4y%5E2%3E=16:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2B4y%5E2%3E=16+%29

.
.
.
So for the system of equations the solution region would be the area between the two ellipses, outside the smaller one and inside the larger one.
.
.
.

.


test/382796: How to solve system of equations by graphing.
1 solutions

Answer 271235 by Fombitz(13828) About Me  on 2010-12-08 07:58:56 (Show Source):
You can put this solution on YOUR website!
Graph the equations and look for points of intersection.
Those points are solutions.


Mixture_Word_Problems/382783: How much pure antifreeze should be added to 3 gallons of a 50% antifreeze solution to produce a solution that is 60% antifreeze?
I did a table already containing the total amount at the bottom known as .6 for me but I really don't understand this question.
Thanks,
Jazlyn
1 solutions

Answer 271234 by Fombitz(13828) About Me  on 2010-12-08 07:58:08 (Show Source):
You can put this solution on YOUR website!
Pure antifreeze is a 100% solution.
Let A be the amount of pure antifreeze.
Look at the concentration equation.
100A%2B50%283%29=60%28A%2B3%29
100A%2B150=60A%2B180
40A=30
highlight%28A=3%2F4%29gallons


Polynomials-and-rational-expressions/382810: Please solve.
x^(2/3) - x^(1/3) - 12=0
1 solutions

Answer 271233 by Fombitz(13828) About Me  on 2010-12-08 07:56:28 (Show Source):
You can put this solution on YOUR website!

Use a substitution, let u=x%5E%281%2F3%29, then u%5E2=x%5E%282%2F3%29
u%5E2-u-12=0
%28u-4%29%28u%2B3%29=0
Two solutions:
u-4=0
u=4
x%5E%281%2F3%29=4
x=4%5E3
highlight%28x=64%29
.
.
.
u%2B34=0
u=-3
x%5E%281%2F3%29=-3
x=%28-3%29%5E3
highlight%28x=-27%29


percentage/382876: a painting was bought for $4000 and sold for 4560. what percent was the profit? (the base is the buying price)...THANKS!!!
1 solutions

Answer 271232 by Fombitz(13828) About Me  on 2010-12-08 07:53:34 (Show Source):


Linear-systems/382786: {x^2-3y^2=-1
{2x^2-7y^2=-5
1 solutions

Answer 271231 by Fombitz(13828) About Me  on 2010-12-08 07:52:58 (Show Source):
You can put this solution on YOUR website!
1.x%5E2-3y%5E2=-1
2.2x%5E2-7y%5E2=-5
Multipy eq. 1 by -2 and add to eq. 2,
-2x%5E2%2B6y%5E2%2B2x%5E2-7y%5E2=2-5
-y%5E2=-3
y=0+%2B-+sqrt%283%29
Then use either equation to solve for x.
x%5E2-3%283%29=-1
x%5E2=8
x=0+%2B-+2%2Asqrt%282%29
.
.
.


Percentage-and-ratio-word-problems/382875: of a toatal of 718,000 workers,26,925 worked in mines. what was the profit? (the base is the buying price) I TRIED EVERYTHING I REALLY NEED YOUR HELP
1 solutions

Answer 271230 by Fombitz(13828) About Me  on 2010-12-08 07:48:30 (Show Source):
You can put this solution on YOUR website!
How is profit related to the total number of workers and the number of workers that are miners???


Signed-numbers/382874: I am trying to help my daugter with her homework, and I've forgotten the formula for the following type of question:
2/3 of a number + 13 = 71
1 solutions

Answer 271229 by Fombitz(13828) About Me  on 2010-12-08 07:47:31 (Show Source):
You can put this solution on YOUR website!
Let N be the number,
%282%2F3%29N%2B13=71
Subtract 13 from both sides.
%282%2F3%29N%2B13-13=71-13
%282%2F3%29N%2B0=58
%282%2F3%29N=58
Multiply both sides by (3/2).
%283%2F2%29%282%2F3%29N=%283%2F2%2958
%286%2F6%29N=87
%281%29N=87
highlight%28N=87%29


Quadratic_Equations/382869: I need help facoring this problem: x-2/x2-9+x+1/x2-x-12
1 solutions

Answer 271228 by Fombitz(13828) About Me  on 2010-12-08 07:45:27 (Show Source):
You can put this solution on YOUR website!
%28x-2%29%2F%28x%5E2-9%29=%28x-2%29%2F%28%28x%2B3%29%28x-3%29%29
.
.
%28x%2B1%29%2F%28x%5E2-x-12%29=%28x%2B1%29%2F%28%28x-4%29%28x%2B3%29%29
.
.
Use the common denominator %28x-4%29%28x%2B3%29%28x-3%29

.
.

.
.

.
.



Linear-systems/382712: solve 7^2x+5=37 for x
1 solutions

Answer 271175 by Fombitz(13828) About Me  on 2010-12-07 22:19:47 (Show Source):


Polynomials-and-rational-expressions/382748: pascal's triangle can be used as a shortcut to expand any binomial (a+b)^n
n= 0 1 2 3 4...

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
explain how this triangle works and expand. (2x+1)^6

1 solutions

Answer 271174 by Fombitz(13828) About Me  on 2010-12-07 22:16:25 (Show Source):
You can put this solution on YOUR website!
Do two more rows
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
So then you have the coefficients, then get the terms,
1%282x%29%5E6%281%29%5E%280%29=64x%5E6
6%282x%29%5E5%281%29%5E%281%29=192x%5E5
15%282x%29%5E4%281%29%5E%282%29=240x%5E4
20%282x%29%5E3%281%29%5E%283%29=160x%5E3
15%282x%29%5E2%281%29%5E%284%29=60x%5E2
6%282x%29%5E1%281%29%5E%285%29=12x
1%282x%29%5E0%281%29%5E%286%29=1
.
.
%282x%2B1%29%5E6+=64x%5E6%2B192x%5E5%2B240x%5E4%2B160x%5E3%2B60x%5E2%2B12x%2B1%0D%0A


Functions/382739: Please help me solve this equation: sqrt(3+x)+sqrt(3-x)
1 solutions

Answer 271173 by Fombitz(13828) About Me  on 2010-12-07 22:10:12 (Show Source):
You can put this solution on YOUR website!
It's not an equation because there is no "=" sign.
Please re-post.


Functions/382754: Find the domain of the following function and express in interval notation
X+7
-------
x^2-49
1 solutions

Answer 271170 by Fombitz(13828) About Me  on 2010-12-07 22:08:25 (Show Source):
You can put this solution on YOUR website!
%28x%2B7%29%2F%28x%5E2-49%29=%28x%2B7%29%2F%28%28x%2B7%29%28x-7%29%29
%28x%2B7%29%2F%28x%5E2-49%29=1%2F%28x-7%29
The domain is all x except x=7
.
.
.
(-infinity,7) U (7,infinity)


logarithm/382349: 1) solve the equation 4^x-3*2^x-4=0
2)solve the equation log2(x-4)-log2(x+3)=8
1 solutions

Answer 271011 by Fombitz(13828) About Me  on 2010-12-07 15:11:06 (Show Source):
You can put this solution on YOUR website!
1) No solution. No power of 2 or 4 could ever equal zero.
.
.
2) log%282%2C%28%28x-4%29%28x%2B3%29%29%29=8
%28x-4%29%28x%2B3%29=2%5E8
x%5E2-x-12=256
x%5E2-x-268=0
Use the quadratic formula to solve for x.
Only the positive value is a solution because of the restrictions with the log function.



Expressions-with-variables/382079: what does X-3y=14 X-2=0? plz show work so i may understand.
1 solutions

Answer 270881 by Fombitz(13828) About Me  on 2010-12-06 22:14:51 (Show Source):
You can put this solution on YOUR website!
From eq. 1,
x-3y=14
3y=x-14
y=%281%2F3%29x-14%2F3
From eq. 2,
x-2=0
highlight%28x=2%29
Substitute into eq. 1,
y=%281%2F3%29%282%29-14%2F3
y=2%2F3-14%2F3
y=-12%2F3
highlight%28y=-4%29
.
.
.
(2,4) is the solution.


Graphs/382035: Write the equation of the line that is parallel to the graph of y=1/2x+6 and whose y intercept is -2.
1 solutions

Answer 270880 by Fombitz(13828) About Me  on 2010-12-06 22:11:17 (Show Source):
You can put this solution on YOUR website!
parallel lines have identical slopes.
y=%281%2F2%29x%2Bb
and
b=-2
.
.
highlight%28y=%281%2F2%29x-2%29
.
.
.


Inequalities/382028: If s>t then is the inequality s±15>t±15 true?
1 solutions

Answer 270879 by Fombitz(13828) About Me  on 2010-12-06 22:09:00 (Show Source):
You can put this solution on YOUR website!
Yes,
If s%3Et then s%2B15%3Et%2B15 and s-15%3Et-15


Probability-and-statistics/382002: If the probability no one is late for class is 0.45, then the probability at least one person is late is
a. 0.45
b. 0.55
c. 0.65
d. 0.75
1 solutions

Answer 270878 by Fombitz(13828) About Me  on 2010-12-06 22:07:44 (Show Source):
You can put this solution on YOUR website!
P(no one)+P(at least 1)=1
P(at least 1)=1-P(no one)
P(at least 1)=1-0.45
P(at least 1)=highlight%280.55%29


Expressions-with-variables/382001: solve:z=9/13c for c answer:c=13/9c how? Show your work.
1 solutions

Answer 270877 by Fombitz(13828) About Me  on 2010-12-06 22:06:18 (Show Source):
You can put this solution on YOUR website!
z=%289%2F13%29c
Multiply both sides by 13.
13z=9c
Divide both sides by 9.
%2813%2F9%29z=c
highlight%28c=%2813%2F9%29z%29


Expressions-with-variables/382016: (-4m^3n^3)^3 = -4m^9n^9 is this correct
1 solutions

Answer 270876 by Fombitz(13828) About Me  on 2010-12-06 22:04:58 (Show Source):


Linear-equations/382005: what is perpendicular to y = 8x - 1, through (4,10)
1 solutions

Answer 270874 by Fombitz(13828) About Me  on 2010-12-06 22:03:37 (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals.
m%5B1%5D%2Am%5B2%5D=-1
8%2Am%5B2%5D=-1
m%5B2%5D=-1%2F8
.
.
.
y=mx%2Bb
y=-%281%2F8%29x%2Bb
Use the point (4,10) to solve for b.
10=-%281%2F8%29%284%29%2Bb
b=20%2F2%2B1%2F2
b=21%2F2
.
.
.



logarithm/382006: log5(2x+8)=log5(2x+2)

1 solutions

Answer 270873 by Fombitz(13828) About Me  on 2010-12-06 22:01:02 (Show Source):
You can put this solution on YOUR website!
2x%2B8=2x%2B2
8=2
There is no solution.


Expressions-with-variables/382008: 2x+6y=15
4x+6y=15
solve for x and y
1 solutions

Answer 270871 by Fombitz(13828) About Me  on 2010-12-06 22:00:25 (Show Source):
You can put this solution on YOUR website!
1.2x%2B6y=15
2.4x%2B6y=15
Multiply eq. 1 by (-2) and add to eq. 2,
-4x-12y%2B4x%2B6y=-30%2B15
-6y=-15
highlight%28y=5%2F2%29
Then from eq. 1,
2x%2B15=15
2x=0
highlight%28x=0%29


logarithm/382043: 2^3-x=3^x
1 solutions

Answer 270869 by Fombitz(13828) About Me  on 2010-12-06 21:58:06 (Show Source):
You can put this solution on YOUR website!
log%282%2C%282%5E%283-x%29%29%29=log%282%2C%283%5Ex%29%29
3-x=x%2Alog%282%2C%283%29%29
x%2Bx%2Alog%282%2C%283%29%29=3
x%281%2Blog%282%2C%283%29%29%29=3
highlight%28x=3%2F%281%2Blog%282%2C%283%29%29%29%29
x=3%2Alog%2810%2C%282%29%29%2F%28log%2810%2C%282%29%29%2Blog%2810%2C%283%29%29%29
or approximately
x=1.16


Distributive-associative-commutative-properties/382054: (3x+10)(x+7)

1 solutions

Answer 270868 by Fombitz(13828) About Me  on 2010-12-06 21:54:35 (Show Source):
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Use the FOIL method,
%283x%2B10%29%28x%2B7%29=3x%5E2%2B21x%2B10x%2B70
%283x%2B10%29%28x%2B7%29=highlight%283x%5E2%2B31x%2B70%29


Angles/381797: Two angles are supplementary. The larger angle is 12° more than twice the measure of the smaller angle. Find the measures of the two angles. (Supplementary angles are two angles whose sum is 180°.)
I'm supposed to solve this one by addition?
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Answer 270765 by Fombitz(13828) About Me  on 2010-12-06 16:27:35 (Show Source):
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A%2BS=180
S=2A%2B12
Substitute,
A%2B2A%2B12=180
3A=168
A=56degrees
Then
56%2BS=180
S=124degrees


Linear_Equations_And_Systems_Word_Problems/381781: 2/3+5/8+1/2=

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Answer 270764 by Fombitz(13828) About Me  on 2010-12-06 16:26:17 (Show Source):


Miscellaneous_Word_Problems/381784: mary has 1500 blocks what is the largest number of blocks she can use to construct a cube
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Answer 270762 by Fombitz(13828) About Me  on 2010-12-06 16:25:06 (Show Source):
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A cube has equal numbers of blocks per side.
S%5E3%3C=1500
S%3C=11.45
So then 11 cubes per side would use
N=11%5E3
N=1331 blocks