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Quadratic_Equations/335604: Determine the equation of the axis of symmetry.
y = -5x2 - x + 9
what is the answer to this ? ive tried multiple times and im almost out of timeeeee ?
1 solutions

Answer 240586 by Fombitz(13828) About Me  on 2010-08-27 09:19:09 (Show Source):
You can put this solution on YOUR website!
Convert the equation to vertex form, y=a%28x-h%29%5E2%2Bk where (h,k) is the vertex, by completing the square.
y=-5x%5E2-x%2B9
y=-5%28x%5E2%2B%281%2F5%29x%29%2B9
y=-5%28x%5E2%2B%281%2F5%29x%2B1%2F100%29%2B9%2B5%2F100
y=-5%28x%2B1%2F10%29%5E2%2B181%2F20
The vertex lies on the axis of symmetry.
highlight%28x=-1%2F10%29
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.
.


Inequalities/335605: 2x2 + 9x + 4 < 0
I could really use some help with this one
1 solutions

Answer 240584 by Fombitz(13828) About Me  on 2010-08-27 09:14:17 (Show Source):
You can put this solution on YOUR website!
+2x%5E2+%2B+9x+%2B+4+%3C+0
%282x%2B1%29%28x%2B4%29%3C0
Break up the number line into 3 regions.
Region 1:(-infinity,-4)
Region 2:(-4,-1%2F2)
Region 3:(-1%2F2,-infinity)
Choose a point in each region (not an endpoint) and test the inequality.
If the point satisifes the inequality, that region is part of the solution region.
Region 1: x=-5
%282x%2B1%29%28x%2B4%29%3C0
%282%28-5%29%2B1%29%28-5%2B4%29%3C0
%28-9%29%28-1%29%3C0
9%3C0
False, this region is not part of the solution.
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.
.
Region 2: x=-3
%282x%2B1%29%28x%2B4%29%3C0
%282%28-3%29%2B1%29%28-3%2B4%29%3C0
%28-5%29%281%29%3C0
-5%3C0
True, this region is part of the solution.
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.
.
Region 3: x=0
%282x%2B1%29%28x%2B4%29%3C0
%281%29%284%29%3C0
4%3C0
False, this region is not part of the solution.
.
.
.
The solution region is (-4,-1%2F2)
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.
.
Graphical verification by graphing 2x%5E2%2B9x%2B4 and looking for the region where the function is less than zero (below the x-axis)


test/335392: Planets A, B, and C orbit a certain star once every 2, 7, and 12 months, respectively. If the three planets are now in the same straight line, what is the smallest number of months that must pass before they line up again?
1 solutions

Answer 240582 by Fombitz(13828) About Me  on 2010-08-27 09:07:29 (Show Source):
You can put this solution on YOUR website!
2=2
7=7
12=2%2A2%2A3
The smallest number of months would be 2%2A2%2A3%2A7=84 months.


Money_Word_Problems/335411: A cash register contains only five dollar and ten dollar bills. It contains twice as many five's as ten's and the total amount of money in the cash register is 540 dollars. How many ten's are in the cash register?

1 solutions

Answer 240581 by Fombitz(13828) About Me  on 2010-08-27 09:03:11 (Show Source):
You can put this solution on YOUR website!
Let F be the number of $5 bills, T the number of $10 bills.
1.F=2T
.
.
.
2.5F%2B10T=540
Substitute eq. 1 into eq. 2,
5%282T%29%2B10T=540
10T%2B10T=540
20T=540
highlight%28T=27%29
Then from eq. 1,
F=2T
highlight%28F=54%29


Linear-equations/335422: For the line and given point, find the equation of a line that is parallel to the line and the equation of a line perpendicular to the given line through the given point. X=6; (2,7)
1 solutions

Answer 240580 by Fombitz(13828) About Me  on 2010-08-27 09:01:07 (Show Source):
You can put this solution on YOUR website!
Line perpendicular to x=6 would have the form y=a where a is a constant.
Use the point to determine a.
highlight%28y=7%29
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.
.


Distributive-associative-commutative-properties/335408: Identify the property that the statement 5 + (-5) =0 illustrates
1 solutions

Answer 240579 by Fombitz(13828) About Me  on 2010-08-27 08:58:36 (Show Source):
You can put this solution on YOUR website!
Additive inverse property.


Bodies-in-space/335601: A metal pipe that is 1m long has an outside radius of 4cm and an inside radius of 3cm. How many cubic centimeters of metal are in the pipe?
1 solutions

Answer 240578 by Fombitz(13828) About Me  on 2010-08-27 08:55:36 (Show Source):
You can put this solution on YOUR website!
Use the volume of a cylinder,
V=pi%2AR%5E2%2AL
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.
Vouter=pi%2A4%5E2%2A3
Vinner=pi%2A3%5E2%2A3
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.
Vmetal=Vouter-Vinner=pi%2A3%2A%2816-9%29
Vmetal=21%2Apicc


Money_Word_Problems/335410: What quantity of 60 per cent acid solution must be mixed with a 25 solution to produce 168 mL of a 50 per cent solution?

1 solutions

Answer 240577 by Fombitz(13828) About Me  on 2010-08-27 08:53:21 (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 60% solution, B the amount of 25% solution.
1.A%2BB=168
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.
.
60A%2B25B=50%28168%29
60A%2B25B=8400
2.12A%2B5B=1680
From eq. 1,
A=168-B
Substitute into eq. 2,
12%28168-B%29%2B25B=1680
2016-12B%2B5B=1680
-7B=-336
highlight%28B=48%29ml
Then from eq. 1,
A%2B48=168
highlight%28A=120%29ml


Linear-equations/335407: 4+(-7-k)>2(k+3)
1 solutions

Answer 240576 by Fombitz(13828) About Me  on 2010-08-27 08:47:21 (Show Source):


Expressions-with-variables/335545: Reduce to lowest terms 3/y-3/2y+4
1 solutions

Answer 240575 by Fombitz(13828) About Me  on 2010-08-27 08:44:29 (Show Source):
You can put this solution on YOUR website!
Use a common denominator y%282y%2B4%29,

3%2Fy-3%2F%282y%2B4%29=%286y%2B12-3y%29%2F%28y%282y%2B4%29%29
3%2Fy-3%2F%282y%2B4%29=%283y%2B12%29%2F%282y%28y%2B2%29%29
3%2Fy-3%2F%282y%2B4%29=%283%28y%2B4%29%29%2F%282y%28y%2B2%29%29


Mixture_Word_Problems/335595: In my problem a farmer needs 450lbs of chicken feed mixture that is at least 15% protein. The two feeds available are Feed A, which is 18% protein and Feed B, which is 10% protein. Rounded to the nearest pound, how many pounds of each type of feed should he order if he wants 450lbs of a mix that is 15%protein?
1 solutions

Answer 240574 by Fombitz(13828) About Me  on 2010-08-27 08:40:54 (Show Source):
You can put this solution on YOUR website!
Let A be the amount of feed A, B the amount of feed B.
.
.
.
Total weight equation
1.A%2BB=450
.
.
.
Concentration equation
18A%2B10B=15%28450%29
18A%2B10B=6750
2.9A%2B5B=3375
.
.
.
From eq. 1,
A=450-B
Substitute into eq. 2,
9%28450-B%29%2B5B=3375
4050-9B%2B5B=3375
-4B=-675
B=675%2F4
Then from eq. 1,
A%2BB=450
A%2B675%2F4=1800%2F4
A=1125%2F4
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.
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To the nearest pound,
A=281 lbs
B=169 lbs


Linear-systems/335547: y=-x
y-x=-3
1 solutions

Answer 240572 by Fombitz(13828) About Me  on 2010-08-27 08:35:41 (Show Source):
You can put this solution on YOUR website!
1.y=-x
2.y-x=-3
Substitute eq.1 into eq. 2,
-x-x=-3
-2x=-3
highlight%28x=3%2F2%29
Then use eq. 1,
highlight%28y=-3%2F2%29
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test/335549: solve the equation 4^x+2=3(2^x) by substituting 2^x=y
1 solutions

Answer 240571 by Fombitz(13828) About Me  on 2010-08-27 08:33:44 (Show Source):
You can put this solution on YOUR website!
y=2%5Ex
y%5E2=%282%5Ex%29%5E2=2%5E%282x%29=4%5Ex
Substituting,
y%5E2%2B2=3y
y%5E2-3y%2B2=0
%28y-1%29%28y-2%29=0
Two solutions:
y-1=0
y=1
2%5Ex=1
highlight%28x=0%29
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.
.
y-2=0
y=2
2%5Ex=2
highlight%28x=1%29


Linear-equations/335597: What is the slope for: f(x)=-5x-10
1 solutions

Answer 240570 by Fombitz(13828) About Me  on 2010-08-27 08:31:28 (Show Source):
You can put this solution on YOUR website!
The equation is in slope-intercept form, y=mx%2Bb where m is the slope.
Comparing,
m=-5


Equations/335552: what is (5x-1)+(2 1/3 + 5 2/3)

1 solutions

Answer 240569 by Fombitz(13828) About Me  on 2010-08-27 08:30:55 (Show Source):
You can put this solution on YOUR website!
Change the mixed numbers to fractions first.
2%2B1%2F3=6%2F3%2B1%2F3=7%2F3
5%2B2%2F3=15%2F3%2B2%2F3=17%2F3
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%285x-1%29%2B%287%2F3%2B17%2F3%29=5x-1%2B8
%285x-1%29%2B%287%2F3%2B17%2F3%29=highlight%285x%2B7%29


Equations/335560: factor the polynomial
6t^6-10t^3+4t^2
1 solutions

Answer 240568 by Fombitz(13828) About Me  on 2010-08-27 08:28:49 (Show Source):


Equations/335563: simplify
6a^12b^5/21a^2b^17
1 solutions

Answer 240567 by Fombitz(13828) About Me  on 2010-08-27 08:25:54 (Show Source):


Equations/335565: 1/a+9 - 7/a+5
1 solutions

Answer 240565 by Fombitz(13828) About Me  on 2010-08-27 08:24:25 (Show Source):
You can put this solution on YOUR website!
Use a common denominator,%28a%2B9%29%28a%2B5%29

.
.
1%2F%28a%2B9%29+-+7%2F%28a%2B5%29=%28a%2B5-7a-63%29%2F%28%28a%2B9%29%28a%2B5%29%29
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1%2F%28a%2B9%29+-+7%2F%28a%2B5%29=%28-6a-58%29%2F%28%28a%2B9%29%28a%2B5%29%29
.
.
1%2F%28a%2B9%29+-+7%2F%28a%2B5%29=%28-2%283a%2B29%29%29%2F%28%28a%2B9%29%28a%2B5%29%29


test/335569: Savanna looks at the table shown and says the equation y=x-6 represents the pattern .mary says y=x+(-6) represents the pattern who is correct x0,1,2,3 y-6,-5,-4,-3
1 solutions

Answer 240564 by Fombitz(13828) About Me  on 2010-08-27 08:20:30 (Show Source):
You can put this solution on YOUR website!
Both are correct.
x-6=x%2B%28-6%29


Linear-equations/335580: what are the intercepts for 2x - y + 8 = 0
1 solutions

Answer 240563 by Fombitz(13828) About Me  on 2010-08-27 08:19:25 (Show Source):
You can put this solution on YOUR website!
To find the x-intercept, set y=0 and solve for x.
2x+-+y+%2B+8+=+0
2x+-+0+%2B+8+=+0
2x=-8
x=-4
(-4,0)
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To find the y-intercept, set x=0 and solve for y.
2x+-+y+%2B+8+=+0
0-y%2B8=0
y=8
(0,8)


Polygons/335588: The measure of two angles of an equiangular hexagon are 12x degrees and
(10x +20)degrees. find the measure of an angle of the hexagon ?
1 solutions

Answer 240562 by Fombitz(13828) About Me  on 2010-08-27 08:17:20 (Show Source):
You can put this solution on YOUR website!
Since the angles are equal, set them equal to each other and solve for x.
12x=10x%2B20
2x=20
x=10
So then,
12x=10x%2B20=120 degrees.


Polynomials-and-rational-expressions/335593: (3x^3y^4)^2?
1 solutions

Answer 240560 by Fombitz(13828) About Me  on 2010-08-27 08:15:29 (Show Source):


test/335530: Your question goes here. Write clearly! We are not mind readers, so be sure to ask a question that we can understand.
1 solutions

Answer 240533 by Fombitz(13828) About Me  on 2010-08-26 22:59:38 (Show Source):


Equations/335542: what are the intersections of:
1. -3x+2=-4
2. 4x+1=-7
3. 6x-3=9
4. -6x-2=-14
5. -4x=24
6. -6+x=-11
7. -5=2x-13
8. 6-2x=14
9. 24=12-4x

and also how is the work shown?
1 solutions

Answer 240532 by Fombitz(13828) About Me  on 2010-08-26 22:59:15 (Show Source):
You can put this solution on YOUR website!
Intersections with what?


Rectangles/335472: The width of a rectangle is 12 units less than its length. If you add 30 units to both the length and the width, you double the perimeter. find the length and width of the original rectangle.
1 solutions

Answer 240531 by Fombitz(13828) About Me  on 2010-08-26 22:58:44 (Show Source):
You can put this solution on YOUR website!
For a rectangle,
P=2L%2B2W
W=L-12
P1=2L%2B2%28L-12%29
P1=2L%2B2L-24
P1=4L-24
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P2=4%28L%2B30%29-24
P2=4L%2B120-24
P2=4L%2B96
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P2=2%2AP1
4L%2B96=2%284L-24%29
4L%2B96=8L-48
-4L=-144
highlight%28L=36%29
W=36-12
highlight%28W=24%29
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.
The original rectangle is 24 x 36.


test/335456: A laborer uses a crowbar 4 feet long.If the fulcrum is 7 inches from one end of the bar,how heavy a weight can be move by exerting a force of 175 pounds?
1 solutions

Answer 240530 by Fombitz(13828) About Me  on 2010-08-26 22:54:13 (Show Source):
You can put this solution on YOUR website!
This is more of a mechanics(physics) problem rather than algebra problem.
The crowbar provides mechanical advantage which multiplies the force according to the ratio of the two lengths.
F%2F175=%284%2812%29%29%2F7
F=1200lb
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test/335494: Your question goes here. Write clearly! We are not mind readers, so be sure to ask a question that we can understand.
1 solutions

Answer 240529 by Fombitz(13828) About Me  on 2010-08-26 22:51:01 (Show Source):


expressions/335469: if 10X198= (10xm)-(10x2), what is the value of m?
1 solutions

Answer 240528 by Fombitz(13828) About Me  on 2010-08-26 22:50:42 (Show Source):
You can put this solution on YOUR website!
Don't use X for multiplication use "*", it gets confused with a variable x.
10%28198%29=10m-10%282%29
Divide both sides by 10.
198=m-2
highlight%28m=200%29


Miscellaneous_Word_Problems/335463: Consider the following statement: "If x^2=16, then x=4." Provide a counterexample to this conditional.
1 solutions

Answer 240527 by Fombitz(13828) About Me  on 2010-08-26 22:48:34 (Show Source):


test/335497: Your question goes here. Write clearly! We are not mind readers, so be sure to ask a question that we can understand.what r sets?
1 solutions

Answer 240526 by Fombitz(13828) About Me  on 2010-08-26 22:46:35 (Show Source):
You can put this solution on YOUR website!
Sets are collections of elements.
Some sets have lots of elements like the set of all numbers greater than 2.
Some sets have no elements in them like the set of all basketball players taller than 10 feet tall, that's called the empty set.
Some have a finite number of elements, like the set of positive integers less than 2 which only contains the number 1 or the Latin alphabet with 26 elements starting with a and ending with z.


Angles/335508: Lines p and q intersect to form adjacent angles 1 and 2. If m<1 = 3x + 18 and m<2= -8y - 70, find the values of x and y so that p is perpendicular to q.
1 solutions

Answer 240523 by Fombitz(13828) About Me  on 2010-08-26 22:42:51 (Show Source):
You can put this solution on YOUR website!
If the lines are perpendicular, then angles 1 and 2 both equal 90 degrees.
3x%2B18=90
3x=72
highlight%28x=24%29
.
.
.
-8y-70=90
-8y=160
highlight%28y=-20%29