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Fombitz answered: 13805 problems
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Equations/327210: find the slope and the y intercept
7x+24=-42y
1 solutions

Answer 234334 by Fombitz(13828) About Me  on 2010-07-30 15:55:50 (Show Source):
You can put this solution on YOUR website!
Convert to slope-intercept form, y=mx%2Bb
-42y=7x%2B24
y=-x%2F6-4%2F7
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.
.
Slope: m=-1%2F6
Intercept: b=-4%2F7


Inequalities/327127: Find and Graph the solution set.
a. x^3-16x>0
b. x^2-5x<=-6
1 solutions

Answer 234332 by Fombitz(13828) About Me  on 2010-07-30 15:53:45 (Show Source):
You can put this solution on YOUR website!
x%5E3-16x%3E0
x%28x%5E2-16%29%3E0
x%28x-4%29%28x%2B4%29%3E0
Break up the number line into 4 regions:
Region 1 : (-infinity,-4)
Region 2 : (-4,0)
Region 3 : (0,4)
Region 4 : (4,infinity)
Choose a point in the region (not an endpoint).
Test the inequality.
If the inequality is satisfied, the region is part of the solution.
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.
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Region 1:x=-5
x%28x-4%29%28x%2B4%29%3E0
-5%28-5-4%29%28-5%2B4%29%3E0
-45%3E0
False, this region is not part of the solution.
.
.
.
Region 2:x=-2
x%28x-4%29%28x%2B4%29%3E0
-2%28-6%29%282%29%3E0
24%3E0
True, this region is part of the solution.
.
.
.
Region 3:x=2
x%28x-4%29%28x%2B4%29%3E0
2%28-2%29%286%29%3E0
-24%3E0
False, this region is not part of the solution.
.
.
.
Region 4:x=5
x%28x-4%29%28x%2B4%29%3E0
5%281%29%289%29%3E0
45%3E0
True, this region is part of the solution.
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.
.
The solution region is (-4,0) U (4,infinity).
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.
.
Verified graphically
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.
.
+graph%28+300%2C+300%2C+-10%2C+10%2C+-50%2C+50%2C+x%2A%28x-4%29%2A%28x%2B4%29%29%29+
.
.
.
Similarly,
x%5E2-5x%3C=-6
x%5E2-5x%2B6%3C=0
%28x-2%29%28x-3%29%3C=0
Break up the number line into 3 regions:
Region 1 : (-infinity,2)
Region 2 : (2,3)
Region 3 : (3,infinity)
Choose a point in the region (not an endpoint).
Test the inequality.
If the inequality is satisfied, the region is part of the solution.
.
.
.
Region 1:x=0
%28x-2%29%28x-3%29%3C=0
%28-2%29%28-3%29%3C=0
6%3E0
True, this region is part of the solution.
.
.
.
Region 1:x=0
%28x-2%29%28x-3%29%3C=0
%28-2%29%28-3%29%3C=0
6%3C=0
False, this region is not part of the solution.
.
.
.
Region 2:x=2.5
%28x-2%29%28x-3%29%3C=0
%280.5%29%28-0.5%29%3C=0
-0.25%3C=0
True, this region is part of the solution.
.
.
.
Region 3:x=4
%28x-2%29%28x-3%29%3C=0
%282%29%281%29%3C=0
2%3C=0
False, this region is not part of the solution.
.
.
.
The solution region is [2,3].
Since the inequality includes the "=" the brackets denote that 2 and 3 are included as part of the solution.
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.
.
graph%28300%2C300%2C-2%2C6%2C-1%2C1%2C%28x-2%29%2A%28x-3%29%29


Sequences-and-series/327097: list all the two-digit numbers which leave a remainder of 6 and when 171 is divided by them
1 solutions

Answer 234330 by Fombitz(13828) About Me  on 2010-07-30 15:36:04 (Show Source):
You can put this solution on YOUR website!
Let X and Y both be integers, X has two digits.
171%2FX=Y%2B6%2FX
171=XY%2B6
XY=165
Look for factors of 165
165=3%2A5%2A11
The 2 digit product combiations are then
11
15
33
55
There are 4 2-digit numbers that leave a remainder of 6.
171%2F11=15%2B6%2F11
171%2F15=11%2B6%2F15
171%2F33=5%2B6%2F33
171%2F55=3%2B6%2F55


Equations/327194: please solve this: 50/5x10-6x2+8=
1 solutions

Answer 234329 by Fombitz(13828) About Me  on 2010-07-30 15:22:55 (Show Source):
You can put this solution on YOUR website!
You can't solve it unless there is something after the "=".
If not it's just an expression.
You can simplify an expression, but you can't solve it.
If that's what you're looking for then
50%2F%285x%5E10-6x%5E2%2B8%29 is in its simplest form because it is not factorable.
In addition all of the solutions of 5x%5E10-6x%5E2%2B8 are complex.


Equations/327169: 50/5x10-6x2+8
1 solutions

Answer 234327 by Fombitz(13828) About Me  on 2010-07-30 15:07:38 (Show Source):
You can put this solution on YOUR website!
What's the question?


Linear-equations/327190: find the horizontal asymptote if any of the raph of each rational function g(x)= 12x^2/3x^2 +1
1 solutions

Answer 234326 by Fombitz(13828) About Me  on 2010-07-30 15:07:10 (Show Source):


Linear-equations/327187: find the vertical asyptotes, if any of the graph of each rational funtion f(x)= x/x-3
1 solutions

Answer 234324 by Fombitz(13828) About Me  on 2010-07-30 15:03:49 (Show Source):
You can put this solution on YOUR website!
Vertical asymptotes occur when the denominator equals zero.
x-3=0
x=3
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.
.

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The blue line shows the asymptote.


Probability-and-statistics/327173: The measure of the length of the index finger of a human right hand is normally distributed with a mean of 6cm and a standard deviation of 0.5cm What is the probability that the index finger length of a randomly selected person will between 5cm and 7.5cm?
a) .9759 b) .0241 c) .95 d) 1.0 e) none of the above
Please show work so i can understand
1 solutions

Answer 234322 by Fombitz(13828) About Me  on 2010-07-30 15:01:17 (Show Source):
You can put this solution on YOUR website!
Find the z-score for each,
z=%28x-mu%29%2Fsigma
.
.
.
z1=%285-6%29%2F0.5=-2
z2=%287.5-6%29%2F0.5=3
Find P(z1) and P(z2).
P%28z1%29=0.02275
P%28z2%29=0.99865
To find the probability for the range, subtract.
P=0.99865-0.02275
P=0.9759
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.
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a) is the correct answer.


Word_Problems_With_Coins/327184: HOw many dimes & nickles make 3.60

1 solutions

Answer 234319 by Fombitz(13828) About Me  on 2010-07-30 14:57:20 (Show Source):
You can put this solution on YOUR website!
There are multiple answers to that question.
Such as 35 dimes and 2 nickels or 1 dime and 70 nickels.
You need another piece of information relating the dimes and nickels to pin down the answer.


Linear-equations/327185: graph the following function f(x)= 2/x-3
1 solutions

Answer 234318 by Fombitz(13828) About Me  on 2010-07-30 14:55:39 (Show Source):


Graphs/327151: determine the constant k so that (-2,3) will satisfy the equation kx-4y=-k
1 solutions

Answer 234313 by Fombitz(13828) About Me  on 2010-07-30 13:59:33 (Show Source):


Polynomials-and-rational-expressions/327153: (49m^2+7m)/(7m)

1 solutions

Answer 234312 by Fombitz(13828) About Me  on 2010-07-30 13:56:21 (Show Source):


Probability-and-statistics/327037: Twelve $5-bills, eight $10-bills, and five $20-bills are put into a bag and shaken up. You get to reach in and pull out two of the bills without looking. What is the probability you get a total of at least $20?
a 46% b 54% c 66 2/3% d 33 1/3% e 60%

1 solutions

Answer 234303 by Fombitz(13828) About Me  on 2010-07-30 13:32:11 (Show Source):
You can put this solution on YOUR website!
12 $5, 8 $10, 5 $20=25 bills total
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.
.
Remember for the second probability, the total number of bills is reduced by 1.
1.P%285%2C5%29=P%285%29%2AP%285%29=+%2812%2F25%29%2A%2811%2F24%29=11%2F50
2.P%285%2C10%29=P%285%29%2AP%2810%29=%2812%2F25%29%2A%288%2F24%29=8%2F50
3.P%285%2C20%29=P%285%29%2AP%2820%29=%2812%2F25%29%2A%285%2F24%29=1%2F10
4.P%2810%2C5%29=P%2810%29%2AP%285%29=+%288%2F25%29%2A%2812%2F24%29=8%2F50
5.P%2810%2C10%29=P%2810%29%2AP%2810%29=+%288%2F25%29%2A%287%2F24%29=7%2F75
6.P%2810%2C20%29=P%2810%29%2AP%2820%29=+%288%2F25%29%2A%285%2F24%29=1%2F15
7.P%2820%2C5%29=P%2820%29%2AP%285%29=+%285%2F25%29%2A%2812%2F24%29=1%2F10
8.P%2820%2C10%29=P%2820%29%2AP%2810%29=%285%2F25%29%2A%288%2F24%29=1%2F15
9.P%2820%2C20%29=P%2820%29%2AP%2820%29=%285%2F25%29%2A%284%2F24%29=1%2F30
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If you add all of these probabilities together, you will get 1, since these outcomes represent all of the possible outcomes.
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.
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Now find, the ones that sum to at least $20 and add up their probabilities.
3,5,6,7,8,9 all sum to at least $20. Add up all of their probabilities or you could add 1,2, and 4 probabilities and subtract from 1.
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.
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P(>=$20)=23%2F50 or 46%


Polynomials-and-rational-expressions/327041: 25x^2- 144
Factor completely. Show all work necessary please i am having a hard time understanding

1 solutions

Answer 234289 by Fombitz(13828) About Me  on 2010-07-30 13:17:13 (Show Source):
You can put this solution on YOUR website!
THis is a difference of two squares.
You factor it like this,
Z%5E2-A%5E2=%28Z%2BA%29%28Z-A%29
In this case,
Z%5E2=25x%5E2
Z=5x
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.
A%5E2=144
A=12
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.
Substituting,
25x%5E2-144=%285x%2B12%29%285x-12%29


Polynomials-and-rational-expressions/327038: 6x^2 + 17x + 12
please answer the above question and show work please so i can see how it was done please
1 solutions

Answer 234287 by Fombitz(13828) About Me  on 2010-07-30 13:15:38 (Show Source):
You can put this solution on YOUR website!
What's the question?
You only provide an expression.
What do you need done to it?
Be specific.


Parallelograms/327019:
1 solutions

Answer 234286 by Fombitz(13828) About Me  on 2010-07-30 13:14:21 (Show Source):
You can put this solution on YOUR website!
Please re-post.


Equations/327099: list the three terms which complete the sequence and then classify as arithmitic, geometric or neither:
100,000 ,50,000 , 25,000 , ______,__________,_________
1 solutions

Answer 234285 by Fombitz(13828) About Me  on 2010-07-30 13:13:39 (Show Source):
You can put this solution on YOUR website!
It's arithmetic.
Subtract 25000 form the previous number to get the next number
100000
50000
25000
0
You do the next two.


Linear-systems/327101: Which graph has the same intercepts as the equation: 18x - 24y = 72?
1 solutions

Answer 234284 by Fombitz(13828) About Me  on 2010-07-30 13:12:32 (Show Source):
You can put this solution on YOUR website!
18x+-+24y+=+72
Divide both sides by 6.
3x-4y=12


Systems-of-equations/327104: solve this system of equations using the addition method
-8x + 3y = -5
8x - 2y= 6
1 solutions

Answer 234283 by Fombitz(13828) About Me  on 2010-07-30 13:11:39 (Show Source):
You can put this solution on YOUR website!
Add the equations together to eliminate x,
-8x+%2B+3y%2B8x+-+2y=+-5%2B6
highlight%28y=1%29
Then use either equation to solve for x.
-8x%2B3=-5
-8x=-8
highlight%28x=1%29


Probability-and-statistics/327124: Event A occurs with probabity 0.1. Event B occurs with probability 0.6. if A and B are independant, then :
a- p(a and b)= 0.70
b- p(a or b)= 0.64
c- p(a and b)= 0.64
d- p(a or b)= 0.70
THE ANSWER IS 0.06.....BUT THE CHOICES ARE DIFFERENT SO HOW DO I ANSWER IT PLEAAAASE.

1 solutions

Answer 234282 by Fombitz(13828) About Me  on 2010-07-30 13:08:39 (Show Source):
You can put this solution on YOUR website!
The answer is 0.06 but the answer is not any of the choices.
I'm confused.
.
.
.
P%28A%29=0.1
P%28B%29=0.6
They are independent
P(A or B)=P%28A%29%2BP%28B%29=0.7
P(A and B)=P(A then B)=P(B then A)=P%28A%29%2AP%28B%29=0.1%280.6%29=0.06


Numbers_Word_Problems/327125: I can type 19 words in 38 seconds. How many can I type in 60 seconds
1 solutions

Answer 234281 by Fombitz(13828) About Me  on 2010-07-30 13:03:58 (Show Source):
You can put this solution on YOUR website!
19 words is to 38 seconds as X words is to 60.
19%2F38=X%2F60
X=60%2F2=30
30 words in 60 seconds.


Probability-and-statistics/327123: a roulette wheel has 38 slots in which the ball can land. two of the slots are
green, 18 are red, 18 are black. the ball is equally likely to land in any slot.
the roulette wheel is going to be spun twice and the outcome of the two spins
are independant.
the probability that it lands on red the first time and black the second time
is:
a- 0.2136
b- 0.2244
c- 0.2500
d- 0.5000
PLEASE HELP

1 solutions

Answer 234280 by Fombitz(13828) About Me  on 2010-07-30 13:03:09 (Show Source):
You can put this solution on YOUR website!
P(red)=18%2F38=9%2F19
P(black)=18%2F38=9%2F19
P(red then black)=%289%2F19%29%289%2F19%29=81%2F361=0.2244


logarithm/327063: Express as a sum, difference, and product of logarithms, without using exponents
logb 4 square root of ((x^5b^9)/(y^7z^10))
a: 5/4 logb x+9-7logb y-10logb z
b: 5/4 logb x+ 9/4-7/4 logb y-5/2 logb z
c: 1/4 (logb x^5+logb b^9- logb y^7 +logb z^10)
d: 5/4 logb x+9/4 -7/4 logb y+ 5/2 logb z
1 solutions

Answer 234264 by Fombitz(13828) About Me  on 2010-07-30 11:03:49 (Show Source):


Exponents-negative-and-fractional/327056: (9x^9)^1/2
1 solutions

Answer 234263 by Fombitz(13828) About Me  on 2010-07-30 11:00:19 (Show Source):


Proportions/327078: what is 16%of70?
1 solutions

Answer 234261 by Fombitz(13828) About Me  on 2010-07-30 10:59:39 (Show Source):
You can put this solution on YOUR website!
X=%2816%2F100%29%2870%29
Time for a calculator!


Polynomials-and-rational-expressions/327080: Factor completely.
25m^2 - 80mn + 64n^2
1 solutions

Answer 234260 by Fombitz(13828) About Me  on 2010-07-30 10:58:33 (Show Source):


Evaluation_Word_Problems/327090: (3x^5-4x^3+7x^2+4)+(3x^5+2x^3-3x)= -11x^4(10x^7+3x^6)= (x+7) (x-7)= 10x^4-30x^3-50x-20= y^4-8y^2-9= 25m^2-80mn+64n^2= x^2+2xy-143y^2=
1 solutions

Answer 234259 by Fombitz(13828) About Me  on 2010-07-30 10:57:31 (Show Source):
You can put this solution on YOUR website!
Could you clarify your question?
All the equations are running together.
What are you looking for?


Equations/327095: ``PLEASE HELP: find the 100th term and the nth term.
3,9,27,81,243....''.

1 solutions

Answer 234258 by Fombitz(13828) About Me  on 2010-07-30 10:56:22 (Show Source):


Polynomials-and-rational-expressions/327014: can you help with the following problem and show steps please
y^8y - 16y^5
1 solutions

Answer 234257 by Fombitz(13828) About Me  on 2010-07-30 10:54:53 (Show Source):
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y^8 - 16y^5
Factor out common terms.
y%5E8y+-+16y%5E5=y%5E9-16y%5E5
y%5E8y+-+16y%5E5=y%5E5%28y%5E4-16%29
The term in parenthese is the difference of two squares,
y%5E8y+-+16y%5E5=y%5E5%28y%5E2%2B4%29%28y%5E2-2%29
The final term is also a difference of two squares,
y%5E8y+-+16y%5E5=y%5E5%28y%5E2%2B4%29%28y-sqrt%282%29%29%28y%2Bsqrt%282%29%29


Miscellaneous_Word_Problems/327081: A bag contains 16 yellow marbles, 6 green marbles, and 7 red marbles. What is the chance of drawing a yellow marble? If a yellow marble is drawn the first time and then a secong marble is drawn without replacement, what is the probability of drawing a second yellow marble?
1 solutions

Answer 234256 by Fombitz(13828) About Me  on 2010-07-30 10:51:48 (Show Source):
You can put this solution on YOUR website!
16 Yellow
6 Green
7 Red
29 Total
.
.
1. P%28Y%29=16%2F29
.
.
2. P%281+Y%29=16%2F29
Without replacement, the number of yellow marbles and total marbles drops by one,
P%282+Y%29=15%2F28
P(both yellow)=%2816%2F29%29%2815%2F28%29=60%2F203


Polynomials-and-rational-expressions/327082: Solve by factoring and using the principle of zero products.
x^2 + 6x = 0
1 solutions

Answer 234254 by Fombitz(13828) About Me  on 2010-07-30 10:41:45 (Show Source):
You can put this solution on YOUR website!
+x%5E2+%2B+6x+=+0+
+x%28x%2B6%29=+0
Two solutions:
+highlight%28x=0%29
.
.
.
+x%2B6=0
+highlight%28x=-6%29+