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Linear-systems/569696: 28:39 What is the x-coordinate of this solution?
2x+3y=-27
-3x+2y=23
My Work is Shown Below:
3(2x-3y=-27)
-3+2y=23
__________
6x-9y=81
-3x+2y=23
_________
-18x-7y=104
+18 +18
-7y=122
__ ___
-7 -7
y= -17.42
________________________________________________________________________________
Is that correct?
1 solutions

Answer 367429 by JBarnum(2044) About Me  on 2012-02-08 14:29:23 (Show Source):
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i have no idea what you were trying to do and no its not correct.
easiest way is to do the elimination method but you could do substitution method if you wanted to
2x%2B3y=-27
-3x%2B2y=23
first find the lowest common variable for y spot in both equations that will be easy to eliminate we want to eliminate the y so we can solve for the x coordinate best would be 6y
2(2x+3y=-27)
3(-3x+2y=23)
.
4x%2B6y=-54
-9x%2B6y=69now subtract the 2 equations
.
4x-%28-9x%29%2B6y-6y=-54-69
13x=-123 divide by 13
x=-123%2F13



Probability-and-statistics/569692: another friends ask you to explain how to tell if two events are dependent or independent ? how would you reply?
1 solutions

Answer 367424 by JBarnum(2044) About Me  on 2012-02-08 13:52:40 (Show Source):
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Dependent and Independent Events
The occurrence of some events may affect the probability of occurrence of others. For example, the complementary events A and A cannot occur simultaneously. If one took place the other is out of the game:
P(A|A) = 0
regardless of the probability P(A). (P(A|B) denotes the conditional probability of A assuming B.) We say that the event A is not independent of the event A (assuming P(A) ≠ 0 of couse.) And, in general, an event A is not independent of an event B iff P(A) ≠ P(A|B), i.e., if occurrence of B affects the probability of A. It may not be obvious right away, but the relationship "not independent" is symmetric: if A is not independent of B then also B is not independent of A. Formally,
if P(A) ≠ P(A|B) then P(B) ≠ P(B|A).
To see why that is so we invoke the defintion of conditional probability,
P(A|B) = P(A∩B) / P(B),
so that P(A) = P(A|B) implies P(A∩B) / P(B) = P(A), or
P(A∩B) = P(A) P(B),
which also may serve as the definition of independency of A from B. But the later relationship is symmetric! It implies
P(B) = P(A∩B)/P(A) = P(B|A),
which exactly means that B is independent of A. We see that two events A and B are either both dependent or independent one from the other. The symmetric definition of independency is this
(*) P(A∩B) = P(A) P(B).
Two events A and B are independent iff that condition holds. They are dependent otherwise.
It's a frequent misconception that the independency or dependency of two events relates to their having or not having an empty intersection. The case of A and its complement A supplies a clear example of two dependent events with empty intersection.
Another example was introduced in the discussion of conditional probabilities, where we considered the sets
Ω = {1, 2, 3, 4, 5, 6, 7, 8},
A = {1, 3, 5, 7},
B = {7, 8},
A+ = {1, 2, 3, 5, 7} and
A- = {3, 5, 7}.

We found that P(B) = 1/4 whilst
P(B|A+) = 1/5,
P(B|A) = 1/4,
P(B|A-) = 1/3.

What this says is that B and A are independent whereas B is dependent on both A+ and A-. (Note that B∩A+ = B∩A = B∩A- = {7}.)

Returning to the question of survival and life expectancy, AN is the event of a new-born reaching the age of N years. By the meaning of it, for N > M, AN⊂AM and therefore AN∩AM = AN. In particular this means that
P(AN∩AM) = P(AN)
so that P(AN∩AM) = P(AN)·P(AM) is equivalent to P(AN) = P(AN)·P(AM) which is only possible if P(AN) = 0 or P(AM) = 1. Since the latter is unrealistic and the former is unlikely for a reasonable age N, the two events AN and AM can't be independent. In fact, the probability of reaching a certain age grows with aging. As the time goes by, the size of the surviving population goes down while the number of person in a certain (advanced) age group is fixed. Thus the probability (which is the ratio of the two quantities) of getting into that group is indeed increasing with age.
in reference to: http://www.cut-the-knot.org/Probability/IndependentEvents.shtml


Word_Problems_With_Coins/569691: if you had a jar that contains 60 half dollars and 200 quarters what is the monetary value of the coins?
1 solutions

Answer 367423 by JBarnum(2044) About Me  on 2012-02-08 13:48:19 (Show Source):
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60/2=30 dollars
200/4=50 dollars
50+30=80 dollars worth


Graphs/569689: x%2B3x%2B6x-20=180 x=10 How do you come up with answer 10 for x?
1 solutions

Answer 367422 by JBarnum(2044) About Me  on 2012-02-08 13:44:26 (Show Source):
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x%2B3x%2B6x-20=180
10x-20=180
10x=200
x=20
x doesnot equal 10
to prove it put 10 in place of x and solve
.
x%2B3x%2B6x-20=180
10%2B30%2B60-20=180
100-20=180
80=180
incorrect
.
x%2B3x%2B6x-20=180
20%2B60%2B120-20=180
180=180
correct highlight%28x=20%29


Permutations/569688: can you help me with
a + 4 < 10 what is a
1 solutions

Answer 367420 by JBarnum(2044) About Me  on 2012-02-08 13:39:00 (Show Source):
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A%2B4%3C10 SUBTRACT 4 from bothe sides
A%3C10-4 10-4=6
A%3C6


Numbers_Word_Problems/569685: the sum of two numbers in 10. the first number is 2/3 of the second number. what are the numbers
1 solutions

Answer 367419 by JBarnum(2044) About Me  on 2012-02-08 13:32:10 (Show Source):
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F=first number S=second number
F%2BS=10
F=%282%2F3%29S
%282%2F3%29S%2BS=10
%285%2F3%29S=10
5S=30
S=6


Square-cubic-other-roots/569667: QUESTION 1
Please post a 150-300 word response answering all parts to the following question.
Quadratic equations may be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the of each of these methods? When might each pros and cons method be most appropriate? Which method do you prefer? Explain why.

QUESTION 2
Please post a 150-300 word response to the following:
In your own words, explain how to solve a quadratic equation by completing the square. Demonstrate the process with your own example. Please explain step by step how you worked through your example.

1 solutions

Answer 367414 by JBarnum(2044) About Me  on 2012-02-08 12:43:08 (Show Source):
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this is not a math question we cant answer. this is your opinion and your understanding of the processes and what you've learned and how they apply.
im not writing short paragraphs for your homework
Q1 first question unreadable and doesnt make sence. last question your opinion. you can find the definitions in the book
Q2 HINT "IN YOUR OWN WORDS" make up your own problem and solve it. nothing i can do for you dont ask these type of questions as this would be called cheating on your homework.


Rectangles/569661: %287%2F20%29%2B%283%2F16%29=x ?what is x?
1 solutions

Answer 367413 by JBarnum(2044) About Me  on 2012-02-08 12:35:06 (Show Source):
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%287%2F20%29%2B%283%2F16%29=x
find common denom fastest is to just multiply the two denoms
20*16=320
16*7=112
20*3=60
%28112%2F320%29%2B%2860%2F320%29=x add
172%2F320=xreduce by 4 172/4=43 320/4=80
43%2F80=x


Equations/569640: %286%2F7y%29-%281%2F3%29=%281%2F5%29 can you show the solution please?
1 solutions

Answer 367410 by JBarnum(2044) About Me  on 2012-02-08 12:15:14 (Show Source):
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i dont like fractions so first thing i do is multiply the denominators together
7y * 3 * 5 = 105y
now multiply everything by 105y
%28105y%29%286%2F7y%29-%28105y%29%281%2F3%29=%28105y%29%281%2F5%29

%2815%2A6%29-%2835y%29=21y
90-35y=21yadd 35y to both sides
90=56y divide by 56
90%2F56=y reduce by 2
45%2F28=y


test/569642: 3 over x+4 minus 7 = -4 over x+ 4
1 solutions

Answer 367405 by JBarnum(2044) About Me  on 2012-02-08 12:02:07 (Show Source):
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so
%283%2F%28x%2B4%29%29-7=-4%2F%28x%2B4%29
simply multiply every thing by (x+4)
3-7x-28=-4
-7x-25=-4
-25=-4%2B7x
-21=7x
-3=x


Travel_Word_Problems/569638: Speed limit is 55 miles. How many kilometers can they travel?
1 solutions

Answer 367403 by JBarnum(2044) About Me  on 2012-02-08 11:57:19 (Show Source):
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incomplete question
u have a speed limit and asking distance?
according to your question the way its written its infinite kilometers.
,
are you trying to find out the same speed limit in kilometers?
speed btw requires some type of time variable seconds minuts hours...
if the speed limit is 55mph and you need to find the same speed limit in kph use the converson 1mile=1.609344kph
or use a converson calculator 55mph=88.51392kph
or paper pencil way with 55*1.609344kph=88.51392kph


expressions/569625: 3x/5 -6=x
1 solutions

Answer 367402 by JBarnum(2044) About Me  on 2012-02-08 11:47:35 (Show Source):


Equations/569626: The length of the top of a computer is 2 1/5 feet longer than its width. If its width measures m feet, express its length as an algebraic expression in m.
1 solutions

Answer 367399 by JBarnum(2044) About Me  on 2012-02-08 11:27:22 (Show Source):


Functions/569622: how do i graph constant function of f(x)=2 and use the graph to identify domain and range of f

1 solutions

Answer 367397 by JBarnum(2044) About Me  on 2012-02-08 11:23:09 (Show Source):
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y is always at 2 so no matter what x you have y will stay at 2
1,2
2,2
3,2
4,2
its a horizontal line at (0,2)
domain is what the x's are and range is what the y's are
y is always 2 so the range = {2}
x can be any numer negative or possitive so domain ={-infinity,infinity}


Linear-equations/569621: x-9=-6x+5
1 solutions

Answer 367396 by JBarnum(2044) About Me  on 2012-02-08 11:14:00 (Show Source):
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x-9=-6x%2B5ADD 6X to both sides
7x-9=5 ADD 9 to both sides
7x=14 DIVIDE by 7
x=2


Numeric_Fractions/569604: WHAT IS 6/9 TIMES 3/14
1 solutions

Answer 367395 by JBarnum(2044) About Me  on 2012-02-08 11:01:47 (Show Source):
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or simply cross cancel
%286%2F9%29%283%2F14%29
%28%282%2A3%29%2F%283%2A3%29%29%28%281%2A3%29%2F%282%2A7%29%29

%28%283%29%2F%283%29%29%28%281%29%2F%287%29%29 %283%2F3%29=1
1%2F7


test/569586: 3x over 5 minus x-3 over 2 = x+2 over 3. The answer is not a whole number answer.
1 solutions

Answer 367390 by JBarnum(2044) About Me  on 2012-02-08 10:40:45 (Show Source):
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%283x%2F5%29-%28%28x-3%29%2F2%29=%28%28x%2B2%29%2F3%29
multiply denominators together 5*3*2=30 then multiply everything by that number
18x-%2815x-45%29=10x%2B20
add like terms
3x%2B45=10x%2B20 subtract 20 and 3x from both sides
25=7x divide by 7
25%2F7=x


test/569587: %283%2F8%29%2B%284%2F9%29
1 solutions

Answer 367377 by JBarnum(2044) About Me  on 2012-02-08 09:44:47 (Show Source):


test/569588: wat does a dot look like?
1 solutions

Answer 367376 by JBarnum(2044) About Me  on 2012-02-08 09:42:07 (Show Source):


test/569589:
1 solutions

Answer 367375 by JBarnum(2044) About Me  on 2012-02-08 09:41:15 (Show Source):


Miscellaneous_Word_Problems/569580: Emma is making a model of a Mardi Gras float. She is making it from a shoebox that measures 10 in. wide x 6in. long x 5in. high. She will cover the bottom and all four sides with velvet. How many square in. of velvet will she need?
1 solutions

Answer 367374 by JBarnum(2044) About Me  on 2012-02-08 09:40:21 (Show Source):
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this is a perimeter problem minus 1 top side, total(t) square inches
the top and bottom are l*w
the two long sides are h*l
the two short sides are h*w
t=%28lw%29%2B2%28hl%29%2B2%28hw%29
since theres only the bottom we dont multiply by 2 for the lw sides
t=%286%2A10%29%2B2%285%2A6%29%2B2%285%2A10%29
t=%2860%29%2B2%2830%29%2B2%2850%29
t=%2860%29%2B60%2B100
t=220


Linear_Equations_And_Systems_Word_Problems/569581: Denise is selling roses. She sold 3 for $5 and 5 for $7. What will Denise
charge for 12 roses if she keeps selling roses at the same rate ?
1 solutions

Answer 367373 by JBarnum(2044) About Me  on 2012-02-08 09:27:54 (Show Source):
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7/9 , 9/11 , 11/13 , 13/15
so we know its between 13 and 15 dollars
it makes since that its adding a dollar more per rose
3 for 5 4 for 6 5 for 7 6 for 8 7for 9
so 11 for 13 , 12 for 14 , 13 for 15
12 for 14 dollars


test/569582: The difference of fifty and fifteen less than a number
1 solutions

Answer 367372 by JBarnum(2044) About Me  on 2012-02-08 09:20:14 (Show Source):


Inequalities/569577: To pass a course, corrina needs an average score of 60 or more. If Corina 's scores are 66 72 90 49 and 59 find the minimum score that maria can get on her sixth and last exam and pass the sourse.
1 solutions

Answer 367370 by JBarnum(2044) About Me  on 2012-02-08 09:17:55 (Show Source):


Quadratic_Equations/569574: Find Y in the following equation: y=2%28x-2%29%5E2+%2B+9

1 solutions

Answer 367367 by JBarnum(2044) About Me  on 2012-02-08 08:59:59 (Show Source):
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y=2%28x-2%29%5E2+%2B+9
y=2%28x%5E2-4x-4%29+%2B+9
y=2x%5E2-8x-8+%2B+9
y=2x%5E2-8x%2B1
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 2x%5E2%2B-8x%2B1+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%28-8%29%5E2-4%2A2%2A1=56.

Discriminant d=56 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--8%2B-sqrt%28+56+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-8%29%2Bsqrt%28+56+%29%29%2F2%5C2+=+3.87082869338697
x%5B2%5D+=+%28-%28-8%29-sqrt%28+56+%29%29%2F2%5C2+=+0.129171306613029

Quadratic expression 2x%5E2%2B-8x%2B1 can be factored:
2x%5E2%2B-8x%2B1+=+2%28x-3.87082869338697%29%2A%28x-0.129171306613029%29
Again, the answer is: 3.87082869338697, 0.129171306613029. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B-8%2Ax%2B1+%29



Miscellaneous_Word_Problems/569569: James derew a rectangle that was 10in. wide and 14 in. long. Inside the rectangle he drew a triangle. What is the area of the largest triangle he could draw inside the rectangle?
1 solutions

Answer 367366 by JBarnum(2044) About Me  on 2012-02-08 08:53:05 (Show Source):
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uh the largest triangle would be exactly half of the area of the rectangle by drawing the diagnal creating 2 90 degree triangles
fastest way is find area of rectangle and divide by 2
140/2=70


Money_Word_Problems/569557: I loaned a friend $6,000.00 she said she would pay me 6% interest. She is paying me back at the rate of $50.00 a month. How long will it take for her to pay me back the principal and interest.
1 solutions

Answer 367363 by JBarnum(2044) About Me  on 2012-02-08 08:43:49 (Show Source):
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well is the interest per month or year also is it compound interest or simple interest...without these variables its not possible to get the correct answer unless you want 4 answers to the question. please make sure the question has its specifics or its an incomplete question or ask for all 4 possibilities.
6%of 60000= 360 meaning total of 6360
so if its 6% a month its something like
pay the 50 first month
6360-50=6310 *.06=6688.6
6688.6-50=6638.6 shed never pay it off so i doubt this method
say just simple interes of 6% no per month or year.
6%of 60000= 360 meaning total of 6360
6360/50=127.2 months
.2*30=6 days
127/12=10.58
10years 7months 6days
the principle is simple 50*12months=600, 600*10years=6000, so 10 years for simple interest payback of the principle. another 7months and 6 days for the simple interest...idont know if this is the answer you arelooking for but good luck
either way i wouldnt lend someone 6 grand if they only paying me back 50 bucks a month or id charge compound interest atleast because of how long it takes them to pay it back but its just a question.


Square-cubic-other-roots/569554: sqrt%2812%29%2Bsqrt%2875%29
Show work so that I can see how you get the answer
1 solutions

Answer 367359 by JBarnum(2044) About Me  on 2012-02-08 08:15:35 (Show Source):
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sqrt%2812%29%2Bsqrt%2875%29
sqrt%284%2A3%29%2Bsqrt%2825%2A3%29 look for squares
sqrt%282%5E2%2A3%29%2Bsqrt%285%5E2%2A3%29 squares shown then seperate below
sqrt%282%5E2%29%2Asqrt%283%29%2Bsqrt%285%5E2%29%2Asqrt%283%29square root of a square canceles out
2sqrt%283%29%2B5sqrt%283%29 add like terms
highlight%287sqrt%283%29%29


Age_Word_Problems/569549: 5 years ago the sum of my age and my daughters age was a third of five times the average of the present ages of my daughter and my self if my daughter will be 15 years old in 5 years how old is tim now
1 solutions

Answer 367358 by JBarnum(2044) About Me  on 2012-02-08 07:52:20 (Show Source):
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m=my age d=daughter age
%28m-5%29%2B%28d-5%29=%281%2F3%29%285%28%28m%2Bd%29%2F2%29%29
im going to explain the above equation as its second nature for me but for some this may be hard to get this equation from words:
1) the %28m-5%29%2B%28d-5%29 is same as "5 years ago the sum of my age and my daughters age" m and d are the present ages so subtracting 5 years from each of them makes it 5 years ago
2)%28m%2Bd%29%2F2 is same as "the average of the present ages of my daughter and my self" average is adding both ages and dividing them by the number of ages added
3)%285%28%28m%2Bd%29%2F2%29%29 is same as "five times the average of the present ages of my daughter and my self" multiplying by 5
4)%281%2F3%29%285%28%28m%2Bd%29%2F2%29%29 is same as "a third of five times the average of the present ages of my daughter and my self" multiplying by a third

.
.
d%2B5=15 "my daughter will be 15 years old in 5years" so d=10
who is tim?
dumb question we dont know who tim is and what tim's age is so its an incomplete question but if you wanted to find your age it is as follows.
%28m-5%29%2B%28d-5%29=%281%2F3%29%285%28%28m%2Bd%29%2F2%29%29 substitute 10 for d
%28m-5%29%2B%2810-5%29=%281%2F3%29%285%28%28m%2B10%29%2F2%29%29 solve for m
%28m-5%29%2B%285%29=%281%2F3%29%28%285m%2B50%29%2F2%29 add like terms and distribute the 5 and 1%2F3
m=%285m%2B50%29%2F6 multiply by 6 and subtract 5m from each side
highlight%28m=50%29
.
check
%2845%29%2B%285%29=%281%2F3%29%285%28%2860%29%2F2%29%29
%2850%29=%281%2F3%29%285%2830%29%29
%2850%29=%281%2F3%29%28150%29
%2850%29=%2850%29
correct


Average/559456: how can i find the average of 85% of 36
1 solutions

Answer 363426 by JBarnum(2044) About Me  on 2012-01-19 08:55:16 (Show Source):
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there is no average theres only 1 definite solution .85%2836%29 = 30.6
average is where u take a set of numbers and then divide by how many numbers there are to get average number.


Functions/558998: Can you evalute this expression: g(√8)
Given that f(x) = 2x+1/3-5x and g(y) = 1/√y²+1
?
1 solutions

Answer 363290 by JBarnum(2044) About Me  on 2012-01-18 14:56:03 (Show Source):
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well the f(x) doesnt apply
in this case y=sqrt%288%29
g%28sqrt%288%29%29=1%2F%28sqrt%28sqrt%288%29%5E2%29%2B1%29
g%28sqrt%288%29%29=1%2F%28sqrt%288%29%2B1%29
g%28sqrt%288%29%29=1%2F%282sqrt%282%29%2B1%29