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Fombitz answered: 13805 problems
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Inequalities/348756: please help me describe the expression "all numbers between -3 and 4, including 4" in inequality notation
1 solutions

Answer 249316 by Fombitz(13828) About Me  on 2010-09-27 16:00:08 (Show Source):


logarithm/348686: Rewrite the following expression as a simple log:
4logx−2log(x^2+1)+5log(x−1)
1 solutions

Answer 249315 by Fombitz(13828) About Me  on 2010-09-27 15:59:25 (Show Source):


Linear_Equations_And_Systems_Word_Problems/348751: Write an equation for a direct variation with a graph that passes through each point. Ex. (6,2)
1 solutions

Answer 249312 by Fombitz(13828) About Me  on 2010-09-27 15:54:29 (Show Source):
You can put this solution on YOUR website!
For direct variation,
y=kx
2=k%286%29
k=2%2F6=1%2F3
highlight%28y=x%2F3%29


Graphs/348753: x^3+x^2-20x<0
1 solutions

Answer 249311 by Fombitz(13828) About Me  on 2010-09-27 15:53:08 (Show Source):
You can put this solution on YOUR website!
x%5E3%2Bx%5E2-20x%3C0
x%28x%2B5%29%28x-4%29%3C0
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Look for regions where the function is below the x-axis.
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Solution region:(-infinity,-5) U (0,4)


Numbers_Word_Problems/347370: max is thinking of an odd number between 42 and 64. the between the digits is same as the digit in the ones place.what is max's number?

1 solutions

Answer 249309 by Fombitz(13828) About Me  on 2010-09-27 15:46:57 (Show Source):


Graphs/348673: graph two periods of the given tangent function y= tan(x- pie/4)
1 solutions

Answer 249305 by Fombitz(13828) About Me  on 2010-09-27 15:42:33 (Show Source):


Exponents/348730: Simplify 49^5/2
I came up with 7^5 = 16807
Is that simplified enough?
1 solutions

Answer 249303 by Fombitz(13828) About Me  on 2010-09-27 15:41:31 (Show Source):


Trigonometry-basics/348739: when cos(x)= -(0.25)(7^1/2) what is the value of sin(x)
Thanks in advance
1 solutions

Answer 249299 by Fombitz(13828) About Me  on 2010-09-27 15:36:25 (Show Source):


Probability-and-statistics/348740: Determine whether each of the following numbers is prime or composite
(a)219
(b)791
(c) 1001
1 solutions

Answer 249298 by Fombitz(13828) About Me  on 2010-09-27 15:33:17 (Show Source):
You can put this solution on YOUR website!
a) composite, divisible by 3.
b) composite, divisible by 7.
c) composite, divisible by 7.


Problems-with-consecutive-odd-even-integers/348627: Find four consecutive even integers such that the product of -2 and the sum of the first and fourth is 20 less than the opposite of the third.
1 solutions

Answer 249290 by Fombitz(13828) About Me  on 2010-09-27 15:11:40 (Show Source):
You can put this solution on YOUR website!
Let the 4 integers be N, N%2B2, N%2B4, and N%2B6.
-2%28N%2BN%2B6%29=-%28N%2B4%29-20
-2%282N%2B6%29=-N-4-20
4N%2B12=N%2B24
3N=12
highlight%28N=4%29
The integers are 4,6,8, and 10.


Polynomials-and-rational-expressions/348623: Divide and Check
(a^2-8a-16)/(a+4)
1 solutions

Answer 249289 by Fombitz(13828) About Me  on 2010-09-27 14:53:32 (Show Source):
You can put this solution on YOUR website!
Use polynomial long division,
        a - 12
      __________________________
a + 4 | a^2 - 8a - 16
      - a^2 + 4a
       ---------------
            -12a - 16    
          - -12a - 48 
            --------------
                   32

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%28a%5E2-8a-16%29%2F%28a%2B4%29=%28a-12%29%2B32%2F%28a-4%29


Graphs/348689: Use the intercepts to graph the equation x+4y=8
1 solutions

Answer 249288 by Fombitz(13828) About Me  on 2010-09-27 14:52:51 (Show Source):
You can put this solution on YOUR website!
To find the x-intercept, set y=0+ and solve for x.
x%2B4y=8
x%2B4%280%29=8
x=8
(8,0)
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To find the y-intercept, set x=0 and solve for y.
x%2B4y=8
0%2B4y=8
y=2
(0,2)
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Plot the intercepts.
Connect them with a line going through both.
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Linear-equations/348693: Solve this equation for h: 5fh + 3t = w
1 solutions

Answer 249286 by Fombitz(13828) About Me  on 2010-09-27 14:47:52 (Show Source):


Expressions-with-variables/348714: Find the values of x that satisfy the following equations.
2(3x+5)=6x+11
1 solutions

Answer 249285 by Fombitz(13828) About Me  on 2010-09-27 14:46:42 (Show Source):
You can put this solution on YOUR website!
2%283x%2B5%29=6x%2B11
6x%2B10=6x%2B11
10=11
Since the equation leads to an inconsitency, there is no solution.
There is no x value that satisfies this equation.


test/348709: i need help in algebra and fractions but i have no way to pay you .trying to get my ged can you help me
1 solutions

Answer 249284 by Fombitz(13828) About Me  on 2010-09-27 14:45:32 (Show Source):
You can put this solution on YOUR website!
Post a question and someone should be able to help you.
Be concise.


Radicals/348713: Please help me...
x - sqrt( 4-3x ) = -8
I know I'm supposed to get the radical by itself. But the answer I got differs from the book. Thank you in advance.
1 solutions

Answer 249283 by Fombitz(13828) About Me  on 2010-09-27 14:44:45 (Show Source):
You can put this solution on YOUR website!
x-+sqrt%28+4-3x+%29+=+-8
x%2B8=+sqrt%28+4-3x+%29
%28x%2B8%29%5E2=4-3x
x%5E2%2B16x%2B64=4-3x
x%5E2%2B19x%2B60=0
%28x%2B15%29%28x%2B4%29=0
Two solutions:
x%2B15=0
highlight%28x=-15%29
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x%2B4=0
highlight%28x=-4%29


Exponents/348661: Add or subtract as indicated. Simplify. Show factoring and cancellingm and the steps for finding the lowest common denominator. (Assume that no denominator is 0.)
2x/5y - 3x/4y
PLEASE HELP ME I'M STUCK!! Thank you!!
1 solutions

Answer 249249 by Fombitz(13828) About Me  on 2010-09-27 11:21:04 (Show Source):
You can put this solution on YOUR website!
You have a common denominator, y.
%28%282x%29%2F5%29%2Fy+-+%28%283x%29%2F4%29%2Fy=%28%282x%29%2F5-%28%283x%29%2F4%29%29%2Fy+

%28%282x%29%2F5%29%2Fy+-+%28%283x%29%2F4%29%2Fy=%28%288x-15x%29%2F20%29%2Fy+
%28%282x%29%2F5%29%2Fy+-+%28%283x%29%2F4%29%2Fy=%28%28-7x%29%2F20%29%2Fy+
highlight%28%28%282x%29%2F5%29%2Fy+-+%28%283x%29%2F4%29%2Fy=%28-7x%29%2F%2820y%29%29+


Probability-and-statistics/348633: A family has 5 children.
a. Find the probability that exactly 2 are male
b. What is the probability that exactly 2 are female if the first child born is male?
c. Find the probability that the last child born is male
1 solutions

Answer 249247 by Fombitz(13828) About Me  on 2010-09-27 11:16:48 (Show Source):
You can put this solution on YOUR website!
a) There are 2%5E5 or 32 possible combinations of boys and girls.
1 combination has 5 boys, 0 girls
5 combination has 4 boys, 1 girls
10 combination has 3 boys, 2 girls
10 combination has 2 boys, 3 girls
5 combination has 1 boys, 4 girls
1 combination has 0 boys, 5 girls
P(2 boys)=10%2F32=5%2F16
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b) If the first born is male, then there are 16 possible combinations.
1 combination has 4 boys, 0 girls
4 combination has 3 boys, 1 girls
6 combination has 2 boys, 2 girls
4 combination has 1 boys, 3 girls
1 combination has 0 boys, 4 girls
P(2 girls, given first born male)=6%2F16=3%2F8
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c)P(last male)=1%2F2, independent of any previous births.


Proportions/348628: ((1)/(5)-x):x=(1)/(3):(1)/(6)
1 solutions

Answer 249233 by Fombitz(13828) About Me  on 2010-09-27 10:13:48 (Show Source):


Functions/348631: Given r(x)= x/x+4, find r(1/2)
1 solutions

Answer 249227 by Fombitz(13828) About Me  on 2010-09-27 10:04:04 (Show Source):


Graphs/348531: I have to solve for an order of pairs. I always miss this type of question.
x+9y=5
x=6-9y
the solution is ? (type an order of pair
1 solutions

Answer 249226 by Fombitz(13828) About Me  on 2010-09-27 10:01:15 (Show Source):
You can put this solution on YOUR website!
1.x%2B9y=5
2.x=6-9y
Use the substitution method.
Substitute eq. 2 directly into eq. 1 for x and find y.
%286-9y%29%2B9y=5
6=5
Your equations lead to an inconsistency.
There is no solution.
These are two parallel lines that never meet, so there is no intersection (solution).


Polynomials-and-rational-expressions/348629: factor completely:
p^2-10pq+25p^2
1 solutions

Answer 249225 by Fombitz(13828) About Me  on 2010-09-27 09:59:04 (Show Source):
You can put this solution on YOUR website!
Do you mean p%5E2-10pq%2B25q%5E2??
p%5E2-10pq%2B25p%5E2=%28p-5q%29%5E2
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If not, then,
p%5E2-10pq%2B25p%5E2=26p%5E2-10pq
p%5E2-10pq%2B25p%5E2=2p%2813p-5q%29


Expressions-with-variables/348530: solve each equation by using the substitution method and the elimination method
2x+3y=0
4x+12=9y
1 solutions

Answer 249224 by Fombitz(13828) About Me  on 2010-09-27 09:57:29 (Show Source):
You can put this solution on YOUR website!
Substitution:
1.2x%2B3y=0
2.4x-9y=-12
From eq. 1,
2x=-3y
-9y=6x
Substitute into eq. 2,
4x-9y=-12
10x=-12
highlight%28x=-6%2F5%29
Then from eq. 1,
-9y=6%28-6%2F5%29
-9y=-36%2F5
highlight%28y=4%2F5%29
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Elimination:
1.2x%2B3y=0
2.4x-9y=-12
Multiply eq. 1 by 3 and add the equations together,
6x%2B9y%2B4x-9y=-12
10x=-12
highlight%28x=-6%2F5%29
Then from eq. 1,
-9y=6%28-6%2F5%29
-9y=-36%2F5
highlight%28y=4%2F5%29


Money_Word_Problems/348621: A wallet contains $460 in $5, $10, and $20 bills. The number of $5 bills exceeds twice the number of $10 bills by 4, and the number of $20 bills is 6 fewer than the number of $10 bills.
How many $5 bills?
1 solutions

Answer 249221 by Fombitz(13828) About Me  on 2010-09-27 09:50:58 (Show Source):
You can put this solution on YOUR website!
Let F be the number of $5, T the number of $10, and Y the number of $20 bills.
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"A wallet contains $460 in $5, $10, and $20 bills."
1.5F%2B10T%2B20Y=460
"The number of $5 bills exceeds twice the number of $10 bills by 4"
2.F=2T%2B4
"the number of $20 bills is 6 fewer than the number of $10 bills."
3.Y=T-6
Substitute eq. 2 and 3 into eq. 1,
5%282T%2B4%29%2B10T%2B20%28T-6%29=460
10T%2B20%2B10T%2B20T-120=460
40T-100=460
40T=560
T=14
Then from eq. 2,
F=28%2B4
F=32
Then from eq. 3,
Y=14-6
Y=8
You have 8 $20 bills, 14 $10 bills, and 32 $5 bills.


Length-and-distance/348622: The point (10, 10) is the midpoint of C and D. If the coordinates of C are (15, s) and the coordinates of D are (t, 3), then what are the values of the variables s and t?

1 solutions

Answer 249219 by Fombitz(13828) About Me  on 2010-09-27 09:46:16 (Show Source):
You can put this solution on YOUR website!
Use the midpoint formula.
x%5Bm%5D=%28x%5BC%5D%2Bx%5BD%5D%29%2F2
%2815%2Bt%29%2F2=10
15%2Bt=20
Solve for t.
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y%5Bm%5D=%28y%5BC%5D%2By%5BD%5D%29%2F2
%28s%2B3%29%2F2=10
s%2B3=20
Solve for s.


Proportions/348618: 24/40=t/30
1 solutions

Answer 249218 by Fombitz(13828) About Me  on 2010-09-27 09:44:17 (Show Source):


Linear_Algebra/348607: Find the x- and y-intercepts of the equation x^2+xy+y=1
1 solutions

Answer 249217 by Fombitz(13828) About Me  on 2010-09-27 09:43:00 (Show Source):
You can put this solution on YOUR website!
x%5E2%2Bxy%2By=1
xy%2By=1-x%5E2
y%28x%2B1%29=%281-x%29%281%2Bx%29
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First solution:
x%2B1=0
x=-1
Second solution:
y=1-x
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x-intercepts:x=-1,x=1
y-intercepts:y=1


Linear-systems/348482: Help! This is one of my homework questions and I did it, but apparently it isn't right?!
Given the system of inequalities below, determine the shape of the feasible region and find the vertices of the feasible region. Give the shape as "triangle", "quadrilateral", "pentagon", or "unbounded". Report your vertices starting with the one which has the smallest -value. If more than one vertex has the same, smallest -value, start with the one that has the smallest -value. Proceed clockwise from the first vertex. Leave any unnecessary answer spaces blank. Also give the value of the objective function P=-7x-4y for each vertex.
The inequalities are:
x+y>=18
2y-x<=20
5x-y<=53
x>=0
y>=0
and i must give the shape of the area and the coordinates of each vertex
1 solutions

Answer 249214 by Fombitz(13828) About Me  on 2010-09-27 09:24:49 (Show Source):
You can put this solution on YOUR website!
Graph each line.
x%2By=18
y=-x%2B18
graph%28300%2C300%2C-2%2C16%2C-2%2C18%2C-x%2B18%29
The region of interest is the shaded region,
Solved by pluggable solver: Plot Any Inequality
Graphing function y%3E=-x%2B18:

graph%28+300%2C+300%2C+-2%2C+16%2C+-2%2C+18%2C+y%3E=-x%2B18+%29


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Find the intersection between the green line and the red line.
%281%2F2%29x%2B10=-x%2B18
x%2B20=-2x%2B36
3x=16
x=16%2F3%7D%7D%0D%0A%7B%7B%7By=-16%2F3%2B54%2F3=38%2F3
(16/3,38/3)
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5x-y=53
y=5x-53
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Find the intersection between the blue line and the red line.
5x-53=-x%2B18
6x=71
x=71%2F6
Then
y=-71%2F6%2B108%2F6=37%2F6
(71/6,37/6)
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Find the intersection between the blue line and the green line.
5x-53=%281%2F2%29x%2B10
10x-106=x%2B20
9x=126
x=14
Then
y=%281%2F2%2914%2B10
y=17
(14,17)
.
.
.

So the 3 vertices are :
(16/3,38/3)
(71/6,37/6)
(14,17)
Find the value of P=-7x-4y at each vertex.
I will do one, you do the rest.
(14,17):P=-7x-4y=-7%2814%29-4%2817%29=-98-68=-166


Linear_Equations_And_Systems_Word_Problems/348483: A student adds two displacement vectors that have the magnitudes of 12.0 meters and 5.0 meters. What is a possible answer for the magnitude of the resultant vector?
1 solutions

Answer 249209 by Fombitz(13828) About Me  on 2010-09-27 08:52:28 (Show Source):
You can put this solution on YOUR website!
The values can range from the maximum where the vectors are aligned and in opposite directions abs%28V%29=12%2B5=17 to the minimum where the vectors are aligned and point in the same direction abs%28V%29=12-5=7.
7%3C=abs%28V%29%3C=17


Mixture_Word_Problems/348538: a 40% solution is to be mixed with a 60% solution to obtain 8 liters of a 55% solution. how many liters of each solution should be used
1 solutions

Answer 249207 by Fombitz(13828) About Me  on 2010-09-27 08:50:31 (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 40% solution.
Let B be the amount of 60% solution.
Volume eqaution:
1.A%2BB=8
Concentration equation:
40A%2B60B=55%288%29
2.2A%2B3B=22
Multiply eq. 1 by 2 and subtract it from eq. 2,
2A%2B3B-2A-2B=22-16
highlight%28B=6%29liters
Then from eq. 1,
A%2B6=8
highlight%28A=2%29liters


Evaluation_Word_Problems/348576: Solve 4x+9y=30xy
5x-3y=xy
1 solutions

Answer 249205 by Fombitz(13828) About Me  on 2010-09-27 08:47:23 (Show Source):
You can put this solution on YOUR website!
4x%2B9y=30xy
9y-30xy=-4x
y%289-30x%29=-4x
1.y=%284x%29%2F%2830x-9%29
.
.
.
5x-3y=xy
xy%2B3y=5x
2.y=%285x%29%2F%28x%2B3%29
.
.
.
Set eq. 1 equal to eq. 2,
%284x%29%2F%2830x-9%29=%285x%29%2F%28x%2B3%29
4x%5E2%2B12x=150x%5E2-45x
146x%5E2-57x=0
x%28146x-57%29=0
Two solutions:
highlight%28+x=0%29+
y=%285x%29%2F%28x%2B3%29=0%2F3
highlight%28y=0%29
.
.
.
146x-57=0
146x=57
highlight%28x=57%2F146%29
y=%285%2857%2F146%29%29%2F%2857%2F146%2B438%2F146%29
y=%28285%2F146%29%2F%28495%2F146%29
highlight%28y=19%2F33%29