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Linear_Algebra/385247: Factor completely.
32u^4 - 2u^4w^4
1 solutions

Answer 272562 by Fombitz(13828) About Me  on 2010-12-12 22:43:21 (Show Source):


Probability-and-statistics/385250: You select three cards from a deck of 52 poker cards. What is the probability the cards are (in order) a Five, a Five, and a King?
1 solutions

Answer 272561 by Fombitz(13828) About Me  on 2010-12-12 22:42:00 (Show Source):
You can put this solution on YOUR website!
First five: 4%2F52=1%2F13
Second five:+3%2F51=1%2F17
First King: 4%2F50=2%2F25
P%285%2C5%2CK%29=%281%2F13%29%281%2F17%29%282%2F25%29=2%2F5525


Coordinate-system/384718: find in terms of t the equation of the line through the point (t,0) with gradient t. find the values of t for which the line passes through the point (5,6)
1 solutions

Answer 272351 by Fombitz(13828) About Me  on 2010-12-12 07:53:47 (Show Source):
You can put this solution on YOUR website!
Use the point-slope form of a line, y-y%5Bp%5D=m%28x-x%5Bp%5D%29.
y-0=t%28x-t%29
y=tx-t%5E2
.
.
.
Now use the point (5,6),
6=t%2A5-t%5E2
t%5E2-5t%2B6=0
%28t-3%29%28t-2%29=0
Two solutions:
t-3=0
t=3
.
.
.
t-2=0
t=2
.
.
.

.
.
.
Ahmad, I tried to respond to your question but I got a bounceback. Hopefully you'll look here.
The answer is no.
+t%5E2-6t-t%2B6=t%5E2-7t%2B6 and
+t%5E2-6t-t%2B6%3C%3Et%5E2-5t%2B6
.
.
.
I made the same mistake in my first solution, then went back to verify and caught the mistake.
.
.
.
t%5E2-5t%2B6=t%5E2-3t-2t%2B6
t%5E2-5t%2B6=t%28t-3%29-2%28t-3%29
t%5E2-5t%2B6=%28t-3%29%28t-2%29


Exponents/384659: simplify Assume m, n ≠ 0 (mn^2)^-4
I just dont understand
1 solutions

Answer 272350 by Fombitz(13828) About Me  on 2010-12-12 07:48:14 (Show Source):


Exponents/384681: please help.
find the GCF 5x^5,5x,-70
1 solutions

Answer 272349 by Fombitz(13828) About Me  on 2010-12-12 07:46:59 (Show Source):
You can put this solution on YOUR website!
Break down each term into its prime factors,
5x%5E5=5%5E1%2Ax%5E5
5x=5%5E1%2Ax%5E1
-70=-1%2A2%5E1%2A5%5E1%2A7%5E1
They all only have one factor in common.
GCF=5%5E1
highlight%28GCF=5%29


Quadratic_Equations/384703:
1 solutions

Answer 272348 by Fombitz(13828) About Me  on 2010-12-12 07:44:38 (Show Source):


test/384716: find x' for x=(t) defined implactitly by the given equation evaluate x' at the indicated point
1) x^3 - tx^2 - 4 = o;(-3,-2)
1 solutions

Answer 272347 by Fombitz(13828) About Me  on 2010-12-12 07:42:40 (Show Source):
You can put this solution on YOUR website!
+x%5E3+-tx%5E2+-+4=+0+
3x%5E2%2Adx-%28t%282x%2Adx%29%2Bx%5E2%2Adt%29=0
3x%5E2%2Adx-2xt%2Adx-x%5E2%2Adt=0
%283x%5E2-2xt%29%2Adx=x%5E2%2Adt
dx%2Fdt=x%5E2%2F%283x%5E2-2xt%29
.
.
If t=-3 and x=-2, then,
dx%2Fdt=4%2F%2812-12%29
dx%2Fdt is undefined.
.
.
.
If t=-2 and x=-3, then,
dx%2Fdt=9%2F%2827-12%29
dx%2Fdt=9%2F15
dx%2Fdt=3%2F5


Distributive-associative-commutative-properties/384722: (2x+3)(7x+11)
1 solutions

Answer 272346 by Fombitz(13828) About Me  on 2010-12-12 07:40:38 (Show Source):
You can put this solution on YOUR website!
Use the FOIL method,
%282x%2B3%29%287x%2B11%29=6x%5E2%2B22x%2B21x%2B33
%282x%2B3%29%287x%2B11%29=6x%5E2%2B43x%2B33


Coordinate-system/384723: The line 3x+4y=15 intersects the curve 2xy=9 at A and B. Find
a) the coordinates of A and of B,
b) the distance AB
1 solutions

Answer 272345 by Fombitz(13828) About Me  on 2010-12-12 07:39:55 (Show Source):
You can put this solution on YOUR website!
1.3x%2B4y=15
2.2xy=9
From eq. 2,
4y=18%2Fx
Substitute into eq. 1,
3x%2B18%2Fx=15
3x%5E2%2B18=15x
x%5E2-5x%2B6=0
%28x-2%29%28x-3%29=0
Two solutions:
x-2=0
x=2
Then,
2%282%29y=9
y=9%2F4
.
.
.
x-3=0
x=3
Then,
2%283%29y=9
y=3%2F2
.
.
.

.
.
.
Now that you have the coordinate, use the distance formula to find the distance between them.
D%5E2=%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2
D%5E2=%283-2%29%5E2%2B%283%2F2-9%2F4%29%5E2
D%5E2=1%2B%286%2F4-9%2F4%29%5E2
D%5E2=1%2B%28-3%2F4%29%5E2
D%5E2=1%2B9%2F16
D%5E2=16%2F16%2B9%2F16
D%5E2=%2816%2B9%29%2F16
D%5E2=25%2F16
highlight%28D=5%2F4%29


Coordinate-system/384238: how would you figure out the graph points of (6,-2) (r, -6), m=4?
1 solutions

Answer 271983 by Fombitz(13828) About Me  on 2010-12-10 15:57:39 (Show Source):
You can put this solution on YOUR website!
Use the definition of slope,
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
4=%28-6-%28-2%29%29%2F%28r-6%29
r-6=%28-6%2B2%29%2F4
r-6=-1
highlight%28r=5%29
.
.
.



Equations/384115: Solve by completing the square
7x2-14x+3=0
1 solutions

Answer 271918 by Fombitz(13828) About Me  on 2010-12-10 09:37:01 (Show Source):
You can put this solution on YOUR website!
OK, the solution is on the website also.
7x%5E2-14x%2B3=0
7%28x%5E2-2x%29%2B3=0
7%28x%5E2-2x%2B1%29%2B3-7%281%29=0
7%28x-1%29%5E2%2B3-7=0
7%28x-1%29%5E2-4=0
7%28x-1%29%5E2=4
%28x-1%29%5E2=4%2F7
x-1=0+%2B-+sqrt%284%2F7%29
highlight%28x=1+%2B-+%282%2F7%29sqrt%287%29%29%29


Parallelograms/383949: how do i set up an equation for a parallelogram to solve for variables. with y for the top left corner, 8x for botton left, and 7x for the bottom right. please and thank you i am very confused and stuck.
1 solutions

Answer 271917 by Fombitz(13828) About Me  on 2010-12-10 09:36:09 (Show Source):
You can put this solution on YOUR website!
Are the x and y terms referring to the angles of the parallelogram or the length of the sides??


Angles/383955: Two angles are supplementary. One angle has a measure that is five less than four times the other. What is the measure of the larger angle?
1 solutions

Answer 271916 by Fombitz(13828) About Me  on 2010-12-10 09:35:15 (Show Source):
You can put this solution on YOUR website!
A%2BS=180
.
.
A=4S-5
Substitute,
4S-5%2BS=180
5S=185
highlight%28S=37%29degrees
Then,
A=180-37
highlight%28A=143%29degrees


Trigonometry-basics/383952: Suppose that Q varies directly with x^2 and y inversely with Z
What does the equation look like?
1 solutions

Answer 271915 by Fombitz(13828) About Me  on 2010-12-10 09:33:32 (Show Source):
You can put this solution on YOUR website!
Q=k%28%28x%5E2y%29%2FZ%29, where k is a non-zero constant.


Rational-functions/383950: The exponential function t = e^x is a special function that you will learn about later. It is not a polynomial function. However, for small values of x, the value of e^x is very closely approximated by the polynomial function e(x) = 1/6x^3 + 1/2x^2 + x + 1. Use synthetic substitution to determine e(0.1). Show your work.
Thank you!
1 solutions

Answer 271913 by Fombitz(13828) About Me  on 2010-12-10 09:32:35 (Show Source):


Probability-and-statistics/384104: The random variable X is normally distributed with mean 79 and variance 144.
Find
P(X<70)
P(64 Thank you.
1 solutions

Answer 271912 by Fombitz(13828) About Me  on 2010-12-10 09:29:18 (Show Source):
You can put this solution on YOUR website!
See Probability-and-statistics/384105:


Probability-and-statistics/384105: The random variable X is normally distributed with mean 79 and variance 144.
Find
P(X<70)
P(64< X <96)

1 solutions

Answer 271911 by Fombitz(13828) About Me  on 2010-12-10 09:28:42 (Show Source):
You can put this solution on YOUR website!
Find the z score,
z=%28x-mu%29%2Fsigma
z=%28x-mu%29%2Fsqrt%28VAR%29
z=%2870-79%29%2Fsqrt%28144%29=-9%2F12=-0.75
Now find P%28x%3C70%29=P%28z=-0.75%29
That's your solution.
.
.
.
Find two z scores,
z%5B1%5D=%2864-79%29%2Fsqrt%28144%29
z%5B2%5D=%2896-79%29%2Fsqrt%28144%29
and
P%2864%3C+x+%3C96%29=P%28z%5B2%5D%29-P%28z%5B1%5D%29


Triangles/384107: In a triangle ABC, angle B is 3 times angle A and Angle C is 20 degrees less than 6 times angle A
The size of Angle A is
The size of Angle B is
The size of Angle C is
All answers need to be simplified. Type an integer or a decimal
I really need a good tutor.
1 solutions

Answer 271910 by Fombitz(13828) About Me  on 2010-12-10 09:25:09 (Show Source):
You can put this solution on YOUR website!
For every triangle,
A%2BB%2BC=180
.
.
B=3A
C=6A-20
Substitute and solve for A.
A%2B3A%2B6A-20=180
10A=200
highlight%28A=20%29degrees
Then,
B=3%2820%29
highlight%28B=60%29degrees
And,
C=6%2820%29-20
C=120-20
highlight%28C=100%29degrees


Matrices-and-determiminant/384093: How would u solve this problem by using inverse matrix:
17x+4y=76
21x+5y=94
1 solutions

Answer 271909 by Fombitz(13828) About Me  on 2010-12-10 09:22:34 (Show Source):
You can put this solution on YOUR website!
DUPLICATE See Matrices-and-determiminant/384097:


Linear-systems/384111: x +1/ 12 = 3/20 answer is -41/5 please help need a break down of why the answer is -41/5
1 solutions

Answer 271908 by Fombitz(13828) About Me  on 2010-12-10 09:21:08 (Show Source):
You can put this solution on YOUR website!
I did it two ways because your problem setup was unclear.
Neither ways gets your answer.
Check your problems setup.
.
.
.
%28x+%2B1%29%2F+12+=+3%2F20
x%2B1=36%2F20
x%2B1=9%2F5
x=9%2F5-5%2F5
highlight%28x=4%2F5%29
.
.
.
x%2B1%2F12=3%2F20
x=3%2F20-1%2F12
x=36%2F240-20%2F240
x=16%2F240
highlight_green%28x=1%2F15%29


Linear-equations/384083: 2.3-0.4y=-0.5
1 solutions

Answer 271905 by Fombitz(13828) About Me  on 2010-12-10 09:16:02 (Show Source):


Polynomials-and-rational-expressions/384051: Please show me the steps to factor the polynomial:
9u^2-9v^2-36w^2+36vw
Thanks so much
1 solutions

Answer 271903 by Fombitz(13828) About Me  on 2010-12-10 09:12:48 (Show Source):


Expressions-with-variables/384055: (x-2)^2-(x-2)(y+1)+(y+1)^2=27
Can you help me find what x and y will equal
1 solutions

Answer 271901 by Fombitz(13828) About Me  on 2010-12-10 09:08:36 (Show Source):
You can put this solution on YOUR website!
%28x-2%29%5E2-%28x-2%29%28y%2B1%29%2B%28y%2B1%29%5E2=27
%28x%5E2-4x%2B4%29-%28xy%2Bx-2y-2%29%2B%28y%5E2%2B2y%2B1%29=27
x%5E2-4x%2B4-xy-x%2B2y%2B2%2By%5E2%2B2y%2B1=27
x%5E2-xy-5x%2B2y%2By%5E2%2B4y%2B7=27
x%5E2-xy-5x%2B2y%2By%5E2%2B4y-20=0
.
.
The general equation for a conic section is,
Ax2+%2B+Bxy+%2B+Cy2+%2B+Dx+%2B+Ey+%2B+F+=+0
In this case,
A=1
B=-1
C=1
D=-5
E=4
F=-20
B%5E2-4AC=1-4%281%29%281%29=-3
So this not a parabola or a hyperbola.
It turns out to be the equation of an off axis ellipse.
It does have several integer solutions,
(-4,-4)
(-1,-7)
(-1,2)
(5,-4)
(5,5)


Polynomials-and-rational-expressions/384034: Essay: Show all work. Find the quotient: y^4+7y+1/y^2-9

1 solutions

Answer 271899 by Fombitz(13828) About Me  on 2010-12-10 08:51:58 (Show Source):
You can put this solution on YOUR website!
Use polynomial long division,

          y^2 + 9 
        ______________________________
y^2 - 9 | y^4 + 0y^3 + 0y^2 + 7y +  1
      -  (y^4 + 0y^3 - 9y^3)
       ---------------------
                       9y^2 
                    - (9y^2 + 0y - 81)
                    ------------------
                              7y - 82
                 

%28y%5E4%2B7y%2B1%29%2F%28y%5E2-9%29=%28y%5E2%2B9%29-%287y-82%29%2F%28y%5E2-9%29


Polynomials-and-rational-expressions/384032: Essay: Show all work. Find the following product:
(x^2+5)(x^3-3x-3)
1 solutions

Answer 271898 by Fombitz(13828) About Me  on 2010-12-10 08:50:54 (Show Source):
You can put this solution on YOUR website!
Use the distributive property,
+%28x%5E2%2B5%29%28x%5E3-3x-3%29+=%28x%5E2%29%28x%5E3-3x-3%29%2B%285%29%28x%5E3-3x-3%29
%28x%5E2%2B5%29%28x%5E3-3x-3%29=%28x%5E5-3x%5E3-3x%5E2%29%2B%285x%5E3-15x-15%29
%28x%5E2%2B5%29%28x%5E3-3x-3%29=highlight%28x%5E5%2B2x%5E3-3x%5E2-15x-15%29


Angles/383958: Find the coordinates of the other endpoint of a segment with an endpoint of X(13,5) and midpoint M (8,3.
1 solutions

Answer 271897 by Fombitz(13828) About Me  on 2010-12-10 08:48:53 (Show Source):
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Use the midpoint formula,
x%5BM%5D=%28x%5BX%5D%2Bx%5BY%5D%29%2F2
2%2Ax%5BM%5D=x%5BX%5D%2Bx%5BY%5D
x%5BY%5D=2%2Ax%5BM%5D-x%5BX%5D
x%5BY%5D=2%2A13-8
Similarly,
y%5BM%5D=%28y%5BX%5D%2By%5BY%5D%29%2F2
2%2Ay%5BM%5D=y%5BX%5D%2By%5BY%5D
y%5BY%5D=2%2Ay%5BM%5D-y%5BX%5D
y%5BY%5D=2%2A5-3


Linear_Equations_And_Systems_Word_Problems/383959: Hello! I am needing help on a word problem.
Macro Manufacturing estimates that its profit P in hundreds of dollars is P= -2x^2 + 20x-2 where x is the number of units produced in thousands. How many units must be produced to obtain maximum profit?
Thanks so much!
Denise
1 solutions

Answer 271896 by Fombitz(13828) About Me  on 2010-12-10 08:46:13 (Show Source):
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To find the max or min for a quadratic equation, convert to vertex form (y=a%28x-h%29%5E2%2Bk) by completing the square.
P=+-2x%5E2+%2B+20x-2
P=-2%28x%5E2-10x%29-2
P=-2%28x%5E2-10x%2B25%29-2%2B2%2825%29
P=-2%28x-5%29%5E2-2%2B50
P=-2%28x-5%29%5E2%2B48
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The vertex is (5,48), with a maximum profit of 48 hundred dollars which occurs when x=5 thousand units are produced.
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Probability-and-statistics/383966: a package contains 12 resistors, 3 of which are defective. if 4 are selected find the probability of getting
a. 0 defective
b. 1 defective
c. 3 defective

1 solutions

Answer 271895 by Fombitz(13828) About Me  on 2010-12-10 08:41:07 (Show Source):
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The probability for a defective resistor is,
P%28D%29=3%2F12=0.25
The probability for a non-defective resistor is,
P%28ND%29=0.75
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Find the probabilities for defective resistors from 0 to 4 out of 4 total.
P%280%29=1%2A%280.75%29%5E%284%29%2A%280.25%29%5E%280%29=0.3164
P%281%29=4%2A%280.75%29%5E%283%29%2A%280.25%29%5E%281%29=0.4219
P%282%29=6%2A%280.75%29%5E%282%29%2A%280.25%29%5E%282%29=0.2109
P%283%29=4%2A%280.75%29%5E%281%29%2A%280.25%29%5E%283%29=0.0469
P%284%29=1%2A%280.75%29%5E%280%29%2A%280.25%29%5E%284%29=0.0039
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.
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a)P%280%29=0.3164
b)P%281%29=0.4219
c)P%283%29=0.0469


Linear-equations/384012: how do i graph 7=2.5x
1 solutions

Answer 271893 by Fombitz(13828) About Me  on 2010-12-10 08:35:12 (Show Source):


Polynomials-and-rational-expressions/384006: Essay: Show all work. Find the quotient: y^4+7y+1/y^2-9
1 solutions

Answer 271891 by Fombitz(13828) About Me  on 2010-12-10 08:33:02 (Show Source):
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Use polynomial long division,

          y^2 + 9 
        ______________________________
y^2 - 9 | y^4 + 0y^3 + 0y^2 + 7y +  1
      -  (y^4 + 0y^3 - 9y^3)
       ---------------------
                       9y^2 
                    - (9y^2 + 0y - 81)
                    ------------------
                              7y - 82
                 

%28y%5E4%2B7y%2B1%29%2F%28y%5E2-9%29=%28y%5E2%2B9%29-%287y-82%29%2F%28y%5E2-9%29


Matrices-and-determiminant/384097: How would u solve this problem by using inverse matrix:
17x+4y=76
21x+5y=94
1 solutions

Answer 271889 by Fombitz(13828) About Me  on 2010-12-10 08:30:57 (Show Source):
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[A]=%28matrix%282%2C2%2C17%2C4%2C21%2C5%29%29
[x]=%28matrix%282%2C1%2Cx%2Cy%29%29
[b]=%28matrix%282%2C1%2C76%2C94%29%29
.
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[A][x]=[b]
[x]=[A]inv[b]
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det[A]=17%2A5-21%2A4=1
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.
[A]inv=%28matrix%282%2C2%2C5%2C-4%2C-21%2C17%29%29
[x]=[A]inv[b]==%28matrix%282%2C2%2C5%2C-4%2C-21%2C17%29%29%2A%28matrix%282%2C1%2C76%2C94%29%29
.
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[x]=%28matrix%282%2C1%2C4%2C2%29%29