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Polynomials-and-rational-expressions/318536: Will someone please help me solve this problem?
64y^2-8^2
1 solutions

Answer 227994 by Fombitz(13828) About Me  on 2010-06-29 13:04:59 (Show Source):
You can put this solution on YOUR website!
Can't solve an expression, but you can simplify it.
It's the difference of two squares.
64y%5E2-8%5E2=64%28y%5E2-1%29=64%28y-1%29%28y%2B1%29


Equations/318553: How would you factor x^5+8x^4?
1 solutions

Answer 227993 by Fombitz(13828) About Me  on 2010-06-29 13:03:11 (Show Source):


Coordinate-system/318526: Complete the square and write the equation in standard form. Then give the center and radius of the circle. x^2 + y^2 + 16x - 2y = -29
Thanks
1 solutions

Answer 227992 by Fombitz(13828) About Me  on 2010-06-29 13:02:30 (Show Source):
You can put this solution on YOUR website!
x%5E2+%2B16x%2B+y%5E2+-2y+=+-29
%28x%5E2+%2B16x%2B64%29%2B+%28y%5E2+-2y%2B1%29+=+-29%2B64%2B1
%28x%2B8%29%5E2%2B%28y-1%29%5E2=36
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.
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It's a circle centered at (-8,1) with a radius of 6.


Inequalities/318506: The Party Room at Penny’s Pizza rents for an initial fee of $30 and then $5 per hour. Aislyn ’s bill for her birthday party was $50. For how many hours did she rent the room?
1 solutions

Answer 227991 by Fombitz(13828) About Me  on 2010-06-29 13:00:50 (Show Source):
You can put this solution on YOUR website!
Let C be the total cost, H the number of hours.
C=30%2B5H
C=50
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.
.
30%2B5%2AH=50
5%2AH=20
highlight%28H=4%29


Percentage-and-ratio-word-problems/318474: By bargaining,Arun manages to get a discount of 20% on vegetables and thus saves RS 30 . What is the amount that he finally paid?
1 solutions

Answer 227990 by Fombitz(13828) About Me  on 2010-06-29 12:58:28 (Show Source):
You can put this solution on YOUR website!
If 20% equals RS 30, then what is 100%?
It would be 5(20%) or 5(RS 30), or RS 150.


Rectangles/318496: the length of a rectangle is 7 meters longer than its width what is the width of the rectangle in the perimerter is 98 meters
1 solutions

Answer 227989 by Fombitz(13828) About Me  on 2010-06-29 12:57:12 (Show Source):
You can put this solution on YOUR website!
The perimeter of a rectangle is,
P=2L%2B2W=98
L%2BW=49
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.
.
L=W%2B7
Substituting,
W%2B7%2BW=49
2W=42
highlight%28W=21%29
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.
.
L=W%2B7=21%2B7
highlight%28L=28%29


Exponents-negative-and-fractional/318379: What is x over 3, plus x over 4, equal -2
1 solutions

Answer 227983 by Fombitz(13828) About Me  on 2010-06-29 11:25:47 (Show Source):
You can put this solution on YOUR website!
x%2F3%2Bx%2F4=-2
Multiply both sides by 12.
4x%2B3x=-24
7x=-24
highlight%28x=-24%2F7%29


Equations/318381: Please help me identify the vertex of the parabola f(x)= (x+1)^2 + 1
1 solutions

Answer 227981 by Fombitz(13828) About Me  on 2010-06-29 11:24:16 (Show Source):
You can put this solution on YOUR website!
The parabola is in vertex form,
y=a%28x-h%29%5E2%2Bk where (h,k) is the vertex.
Comparing,
(h,k)=(-1,1)
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.
.
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C%28x%2B1%29%5E2%2B1%29


Linear-equations/318382: how do you write the equation in standard form with integer coefficients?
2x-9= 3/5y
1/4x-2y=-3
y=1/2x+4
y=2/3x-5/3
1 solutions

Answer 227980 by Fombitz(13828) About Me  on 2010-06-29 11:22:45 (Show Source):
You can put this solution on YOUR website!
Standard form means no fractions, x and y terms on left, constant on right, x coefficient positive.
I'll do two and you can complete the rest.
.
.
.
2x-9=+%283%2F5%29y+
10x-45=3y
highlight%2810x-3y=45%29
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.
.
y=%281%2F2%29x%2B4+
2y=x%2B8
-x%2B2y=8
highlight%28x-2y=-8%29


Rational-functions/318513: -5/4a times -5b/6
1 solutions

Answer 227979 by Fombitz(13828) About Me  on 2010-06-29 11:18:36 (Show Source):


Coordinate-system/318524: find f^-1(x) for the function f(x)= 2x^5 - 3.
Thanks
1 solutions

Answer 227978 by Fombitz(13828) About Me  on 2010-06-29 11:16:54 (Show Source):
You can put this solution on YOUR website!
Use x-y format.
y=2x%5E5-3
Interchange x and y and solve for y.
highlight%28x%29=2%2A%28highlight%28y%29%29%5E5-3
x%2B3=2y%5E5
y%5E5=%28x%2B3%29%2F2
y=root%285%2C%28x%2B3%29%2F2%29
This new y is the inverse function,
f%5E%28-1%29=root%285%2C%28x%2B3%29%2F2%29


Triangles/318522: Find the area of an equilateral triangle that has a perimeter of 21 inches. Round the answer to one decimal place.
1 solutions

Answer 227977 by Fombitz(13828) About Me  on 2010-06-29 11:13:00 (Show Source):
You can put this solution on YOUR website!

.
.
.
A=%281%2F2%29bh
.
.
.
Find h using the Pythagorean theorem.
h%5E2=s%5E2-%28s%2F2%29%5E2
h%5E2=s%5E2%2F2
h=%28sqrt%282%29%2F2%29%2As
A=%281%2F2%29s%28sqrt%282%29%2F2%29s
A=%28sqrt%282%29%2F4%29s%5E2
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.
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Find s using the perimeter.
P=3s=21
s=7
Substitute,
A=%2849%2Asqrt%282%29%29%2F4 or approximately,
A=17.324
The area is 17.3 sq. inches.


Volume/318521: What is The volume of a box that measures 4 cm by 16 cm by 20 cm
1 solutions

Answer 227974 by Fombitz(13828) About Me  on 2010-06-29 11:03:33 (Show Source):


Equations/318482: 1)4M-4=4M
2)6=1-2N+5
0=-2N
N=0?
1 solutions

Answer 227973 by Fombitz(13828) About Me  on 2010-06-29 11:02:41 (Show Source):
You can put this solution on YOUR website!
1) +4M-4=4M
-4=0
No solutions, no M will satisfy that contradiction.
.
.
.
2) 6=1-2N%2B5
6=6-2N
2N=0
N=0
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.
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Yes, correct.
Good job!


Linear_Algebra/318483: -4x+4y=4
1 solutions

Answer 227972 by Fombitz(13828) About Me  on 2010-06-29 10:59:30 (Show Source):


test/318402: what is 3y
1 solutions

Answer 227971 by Fombitz(13828) About Me  on 2010-06-29 10:57:45 (Show Source):
You can put this solution on YOUR website!
You are missing information.
Please repost your question.


Graphs/318523: Solve the inequalities : (2t -3)+ 2 = 5
T should be two different answers.
1 solutions

Answer 227970 by Fombitz(13828) About Me  on 2010-06-29 10:57:01 (Show Source):
You can put this solution on YOUR website!
The way the equation is written, there is only 1 solution.
Check your equation if you're expecting two solutions.
2t-3%2B2=5
2t-1=5
2t=6
highlight%28t=3%29


Surface-area/318484: What is the height of a parallelogram with an area of 105 square inches and a base of 15 inches?
1 solutions

Answer 227969 by Fombitz(13828) About Me  on 2010-06-29 10:55:24 (Show Source):
You can put this solution on YOUR website!
A=bh=105
%2815%29h=105
h=7
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.
.
The height is 7 inches.


Quadratic_Equations/318481: One burrito and two cheeseburgers have 3060 calories. Two burritos and one cheeseburger have 2760 calories. Find the calorie content of each item:

One beef burrito contains____ calories

One cheeseburger contains_____calories

1 solutions

Answer 227968 by Fombitz(13828) About Me  on 2010-06-29 10:54:03 (Show Source):
You can put this solution on YOUR website!
1.1B%2B2C=3060
2.2B%2B1C=2760
Multiply eq. 2 by (-2) and add to eq. 1,
B%2B2C-4B-2C=3060-5520
-3B=-2460
highlight%28B=820%29
Then use either equation to solve for C.
1640%2BC=2760
highlight%28C=1120%29
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.
.
A burrito has 820 calories and a chesseburger has 1120 calories.


Quadratic_Equations/318520: Mathematicians have been searching for a formula that yields prime numbers. One such formula was x^2 - x + 41. substitute them in the formula, and see if prime numbers occur. Try to find a number for x that when substituted in the formula yields a composite number
1 solutions

Answer 227967 by Fombitz(13828) About Me  on 2010-06-29 10:50:27 (Show Source):
You can put this solution on YOUR website!
y=x%5E2-x+%2B+41
.
.
.
+x=0+ , y=41 <--- Prime
x=1, y=1-1%2B41=41 <--- Prime
x=-1, y=1%2B1%2B41=44=2%2A22 <--- Composite


Miscellaneous_Word_Problems/318495: How many seconds will it take for a train 300 meters long travelling at 100 km/hr to pass a man jogging at 10 km/hr in the same direction?
1 solutions

Answer 227965 by Fombitz(13828) About Me  on 2010-06-29 10:39:48 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
.
.
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Let's assume that it takes time T for the train to pass the man.
The train has to travel 300m (0.3 km) plus the distance that the jogger covers in T.
Rt%2AT=300%2BRj%2AT
%28Rt-Rj%29T=0.300
%28100-10%29T=0.300
T=0.3%2F90=0.003333 hr
1 hr=3600 sec
T=0.003333%283600%29=12 sec
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.
.
It takes the train 12 seconds to pass the jogger.


Polynomials-and-rational-expressions/318480: I'm taking online courses that unfortunatly have no teacher. My question is how do I work out the promblem x+1/x^2-4 PLUS(+) x/3x+6
1 solutions

Answer 227964 by Fombitz(13828) About Me  on 2010-06-29 10:34:15 (Show Source):
You can put this solution on YOUR website!
TO make things clearer, be sure to use parentheses especially in denominators of complex fractions.
I think this is the expression you're trying to simplify.
x%2B1%2F%28x%5E2-4%29+%2B+x%2F%283x%2B6%29
When adding/subtracting with fractions, you need a common denominator.
In this case, the first expression has a denominator of 1.
Second expression: x%5E2-4=%28x%2B2%29%28x-2%29
Third expression:3x%2B6=3%28x%2B2%29
So a common denominator would be %28x%2B2%29%28x-2%29.






Exponential-and-logarithmic-functions/318473: please solve for x
3x^(0.4) =2
1 solutions

Answer 227961 by Fombitz(13828) About Me  on 2010-06-29 10:24:37 (Show Source):
You can put this solution on YOUR website!
+3x%5E%280.4%29+=2+
x%5E%280.4%29+=2%2F3
%28x%5E%280.4%29%29%5E%282.5%29=%282%2F3%29%5E%282.5%29
x=%282%2F3%29%5E%282.5%29 or approximately,
x=0.363


Probability-and-statistics/318471: One person older than 14 from each of the four suburbs is selected at random. Find the probability that all four persons are employed full time.
what is the formula for this?
1 solutions

Answer 227960 by Fombitz(13828) About Me  on 2010-06-29 10:22:29 (Show Source):
You can put this solution on YOUR website!
More information is needed to solve the problem.
Please re-post.


Polynomials-and-rational-expressions/318470: factorize a3-6a2+11a-6
1 solutions

Answer 227959 by Fombitz(13828) About Me  on 2010-06-29 10:21:24 (Show Source):
You can put this solution on YOUR website!
+graph%28+300%2C+300%2C+-6%2C+5%2C+-10%2C+10%2C+x%5E3-6x%5E2%2B11x-6%29+
From the graph, you can see that the roots are a=1,a=2, and a=3
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.
.
a%5E3-6a%5E2%2B11a-6=%28a-1%29%28a-2%29%28a-3%29


Probability-and-statistics/318465: Three cards are chosen at random from a deck without replacement. What is the probability of getting a jack, a ten and a nine?
1 solutions

Answer 227957 by Fombitz(13828) About Me  on 2010-06-29 10:17:22 (Show Source):
You can put this solution on YOUR website!
For the first card,
P=4%2F52=1%2F3
For the second card,
P= +4%2F51
For the third card,
P=4%2F50=2%2F25
P(J,10,9)=%281%2F3%29%284%2F51%29%282%2F25%29=8%2F3825


Number-Line/318457: 1) How to locate/represent root of 9.3 on a numberline?
_ __
2)How to express/convert 1.34 and 1.23 into p/q form?
Thanks.
1 solutions

Answer 227956 by Fombitz(13828) About Me  on 2010-06-29 10:13:14 (Show Source):
You can put this solution on YOUR website!
Draw a line with two points on it.
Label them 9 and 10.
By eye, split the interval in half and then in half again and plave a light line there.
Place a point at the 1st eyeball line, which would be 9.25, and label it 9.3.

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.
.
Let r=1.232323
100r=123.232323
100r-r=122
99r=122
highlight%28r=122%2F99%29
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.
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Let s=1.344444
10r=13.44444
10r-r=13.44444-1.34444
9r=12.1
r=12.1%2F9
highlight%28r=121%2F90%29


Equations/318511: FACTORING THE DIFFERENCE OF TWO SQUARES
PLEASE SHOW ALL STEPS
(xy+10)(xy-10)

1 solutions

Answer 227954 by Fombitz(13828) About Me  on 2010-06-29 10:03:04 (Show Source):
You can put this solution on YOUR website!
Use the FOIL method,
%28xy%2B10%29%28xy-10%29=%28xy%29%5E2-10xy%2B10xy-100
%28xy%2B10%29%28xy-10%29=x%5E2y%5E2-100


Exponents-negative-and-fractional/318440: what is the solution for: (4x^2y)^3 * (2x/3y)^-3?
1 solutions

Answer 227953 by Fombitz(13828) About Me  on 2010-06-29 10:01:42 (Show Source):


Linear-equations/318441: What are the graph coordinates of 3y - 9 = 3x
1 solutions

Answer 227952 by Fombitz(13828) About Me  on 2010-06-29 09:57:24 (Show Source):
You can put this solution on YOUR website!
Graph coordinates? Of the x and y intercepts do you mean?
To find the x-intercept, set y=0 and solve for x.
3y-9+=+3x
3%280%29-9=3x
x=-3
(-3,0)
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.
To find the y-intercept, set x=0 and solve for y.
3y+-+9+=+3x
3y-9=3%280%29
3y=9
y=3
(0,3)
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Human-and-algebraic-language/318406: A backpack manufacturer produces an internal frame pack and an external frame pack. Let X represent the number of internal frame packs produced in one hour and let Y represent the number of external frame packs produced in one hour. Then the inequalities X+3<18, 2x+y<16 , x>0 , and y>0 describe the constraints for manufacturing both packs. Use the profit function f(X)=50x+80y and the constraints given to determine the maximum profit for manufacturing both backpacks for the given constraints.
1 solutions

Answer 227951 by Fombitz(13828) About Me  on 2010-06-29 09:53:39 (Show Source):
You can put this solution on YOUR website!
x%2B3%3C18
x%3C15
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2x%2By%3C16
y%3C-2x%2B16
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x%3E0
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y%3E0
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As you can see the constraint, x%2B3%3C18 doesn't even enter into calculating the feasible region because the constraint, 2x%2By%3C16 really identifies the region.
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Check the value of the function at the three vertices:
(0,0):f=50x%2B80y=50%280%29%2B80%280%29=0
(8,0):f=50x%2B80y=50%288%29%2B80%280%29=400
(0,16):f=50x%2B80y=50%280%29%2B80%2816%29=1280
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The maximum, 1280, occurs at (0,16).