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Alan3354 answered: 30973 problems
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Quadratic_Equations/463986: factor: the polynomial
2r^2+5r+4
Please show me step by step to get the answer. Thanks
1 solutions

Answer 317825 by Alan3354(30993) About Me  on 2011-06-23 22:11:45 (Show Source):
You can put this solution on YOUR website!
factor: the polynomial
2r^2+5r+4
---------
It's all positive numbers
It has to be (2r + a)*(r + b), a & b have to be 1 and 4 or 2 and 2.
Since 5 is odd a has to be odd.
--> (2r + 1)*(r + 4)
That doesn't work, so it can't be factored.


Graphs/463998: If y=4 when x=2,find y when x=16. Identify the Constant variation. Same problem find the solution. Please show me how to work out graphing and these problems.
1 solutions

Answer 317821 by Alan3354(30993) About Me  on 2011-06-23 22:00:42 (Show Source):
You can put this solution on YOUR website!
Not enough info.
It could be that y = 2x, y = x+2, y = 7x-10, y = x^2 or some other relation.


Polynomials-and-rational-expressions/463922: I need to simplify the complex fraction by any method
-2
___
ab2
___
5
__
a
1 solutions

Answer 317807 by Alan3354(30993) About Me  on 2011-06-23 20:10:13 (Show Source):
You can put this solution on YOUR website!
%28-2%2Fab%5E2%29%2F%285%2Fa%29
Invert the divisor and multiply
= %28-2%2Fab%5E2%29%2A%28a%2F5%29
= %28-2a%2F5ab%5E2%29
= -2%2F5b%5E2


Quadratic-relations-and-conic-sections/463954: I need help with system of equations with 3 variables.
1. Solve x + y = z
-2x – 4y + z = -31
x + y + z = 22
2. 3x – y + 2z = 6
-x + y = 2
x – 2z = –5
3. Solve 2x + 3y + 3z = 5
4x + 5y + 3z = 13
3x + 2y – 2z = 13
1 solutions

Answer 317806 by Alan3354(30993) About Me  on 2011-06-23 20:07:46 (Show Source):
You can put this solution on YOUR website!
What sort of help?
What have you tried?


Linear-equations/463963: How do I graph y=x?

1 solutions

Answer 317805 by Alan3354(30993) About Me  on 2011-06-23 20:06:49 (Show Source):
You can put this solution on YOUR website!
It's a straight line, so you need 2 points.
Pick 2 values of y or x, plot the points, draw a line thru them.


Polynomials-and-rational-expressions/463938: I am really having a difficult time with this one! Please assist.
Multiply and simplify.
11z^5/3p^3 . 9p^6/121z The simplified product is ?
1 solutions

Answer 317793 by Alan3354(30993) About Me  on 2011-06-23 19:20:18 (Show Source):
You can put this solution on YOUR website!
%2811z%5E5%2F3p%5E3%29%2A%289p%5E6%2F121z%29
Cancel things, eg the 11
%28z%5E5%2F3p%5E3%29%2A%289p%5E6%2F11z%29
Then the z
%28z%5E4%2F3p%5E3%29%2A%289p%5E6%2F11%29
Then p^3
%28z%5E4%2F3%29%2A%289p%5E3%2F11%29
= %289p%5E3z%5E4%2F33%29
Then 3
= %283p%5E3z%5E4%2F11%29


Quadratic-relations-and-conic-sections/463947: The function s(t) = 16t² is used to approximate the distance s, in feet, that an object falls freely from rest in t seconds.

Suspended 1053 ft above the water, the bridge over Colorado’s Royal Gorge is the world’s highest bridge. How long would it take an object to fall freely from the bridge?
Im not sure of how to solve this equation is there someone who might help with this question. I would appreciate your help. Thank you so much !
1 solutions

Answer 317789 by Alan3354(30993) About Me  on 2011-06-23 19:14:52 (Show Source):
You can put this solution on YOUR website!
s%28t%29+=+16t%5E2+=+1053
t%5E2+=+1053%2F16
t =~ 8.1125 seconds


Linear-equations/463950: Please answer this question but please do it step by step. Thank you so much. Your help is very appreciated(:
Find the slope of the line going through the points (6, -9) and (1, 4).
Thanks again.
1 solutions

Answer 317786 by Alan3354(30993) About Me  on 2011-06-23 19:10:26 (Show Source):
You can put this solution on YOUR website!
Slope m = diffy/diffx (change in y over change in x)
m = (-9-4)/(6-1) = -13/5 or -2.6
There are not a lot of steps.


Equations/463919: Could you please help me solve the following equation:
1/(x+1) + 1/(x-1) = 1
This is the work that I have done so far:
(x-1)+(x+1)=(x-1)(x+1)
x-1+x+1=x^2-1
2x=x^2-1
0=x^2-2x-1
That's where I'm stuck, and I'm not even sure that the work I've done so far is correct. I would sincerely appreciate your assistance.
1 solutions

Answer 317773 by Alan3354(30993) About Me  on 2011-06-23 18:21:32 (Show Source):
You can put this solution on YOUR website!
1/(x+1) + 1/(x-1) = 1
This is the work that I have done so far:
(x-1)+(x+1)=(x-1)(x+1)
x-1+x+1=x^2-1
2x=x^2-1
0=x^2-2x-1
-----------
That's all correct
x%5E2+-+2x+-+1+=+0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B-2x%2B-1+=+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=%28-2%29%5E2-4%2A1%2A-1=8.

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

x%5B1%5D+=+%28-%28-2%29%2Bsqrt%28+8+%29%29%2F2%5C1+=+2.41421356237309
x%5B2%5D+=+%28-%28-2%29-sqrt%28+8+%29%29%2F2%5C1+=+-0.414213562373095

Quadratic expression 1x%5E2%2B-2x%2B-1 can be factored:
1x%5E2%2B-2x%2B-1+=+%28x-2.41421356237309%29%2A%28x--0.414213562373095%29
Again, the answer is: 2.41421356237309, -0.414213562373095. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-2%2Ax%2B-1+%29

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Ignore the part that says it can be factored.
x+=+1+%2B+sqrt%282%29
x+=+1+-+sqrt%282%29


Numbers_Word_Problems/463935: what is the next two consecutive even numbers more than 580,500?
1 solutions

Answer 317770 by Alan3354(30993) About Me  on 2011-06-23 18:12:59 (Show Source):
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Add 2, then add 2 again.


Inequalities/463936: Two angles in a triangle are equal and their sum is equal to the third angle in the triangle. What are the measures of each of the three interior angles?

1 solutions

Answer 317769 by Alan3354(30993) About Me  on 2011-06-23 18:12:18 (Show Source):
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45, 45, 90 degs


Radicals/463879: slove this equation
3-9=6
y + 5 y-5= y2-25

1 solutions

Answer 317764 by Alan3354(30993) About Me  on 2011-06-23 17:43:24 (Show Source):
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slove this equation
3-9=6
That's not true.
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y + 5 y-5= y2-25
Not sure what that means.


Linear-equations/463835: What is the slope of a line that is parallel to the line represented by the equation y-2x=7?
1 solutions

Answer 317726 by Alan3354(30993) About Me  on 2011-06-23 13:55:38 (Show Source):
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What is the slope of a line that is parallel to the line represented by the equation y-2x=7?
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Slope = 2


Rational-functions/463847: y-3/2 +y/5 =3- y+1/6 solve rational expression? do i find lcd?

1 solutions

Answer 317725 by Alan3354(30993) About Me  on 2011-06-23 13:51:27 (Show Source):
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y-3/2 +y/5 =3- y+1/6 solve rational expression? do i find lcd?
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Eliminate the fractions. Whether it's the least CD or not doesn't matter.
Use the product of the denominators, that always works.
2*5*6 = 60
y-3/2 +y/5 =3- y+1/6
Do you mean (y-3)/2 +y/5 =3- (y+1)/6 ?
30*(y-3) + 12y = 180 - 10*(y+1)
If so,
30y-90 + 12y = 180 -10y-10
42y - 90 = 170 - 10y
52y = 260
y = 5
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Fretting about the LCD just wastes time.


Equations/463821: Solve the equatioon by factoring. Xsquared+5x-24=0
1 solutions

Answer 317717 by Alan3354(30993) About Me  on 2011-06-23 11:39:07 (Show Source):
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(x+8)*(x-3) = 0
x = -8, 3


Systems-of-equations/463648: Let me try to solve your system of equation 4x + 4y = 16 and 2x + y = 10 using the elimination method.
•Multiply the equation 2x + y = 10 by -2; -4x - 2y = -10.
•Add the equation 4x + 4y = 16 and the equation -4x - 2y = -10 together; 2y = 6.
•Isolate the variable y by dividing both sides of the equation by 2; y = 3.
Can anyone tell us why I multiplied the equation 2x + y = 10 by -2?
is this correct so far? please help!!
1 solutions

Answer 317626 by Alan3354(30993) About Me  on 2011-06-22 19:19:46 (Show Source):
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Let me try to solve your system of equation 4x + 4y = 16 and 2x + y = 10 using the elimination method.
•Multiply the equation 2x + y = 10 by -2; -4x - 2y = -10.
•Add the equation
4x + 4y = 16 and the equation
-4x - 2y = -10 together;
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2y = 6.
•Isolate the variable y by dividing both sides of the equation by 2; y = 3.
Can anyone tell us why I multiplied the equation 2x + y = 10 by -2?
To get the coefficients of x to match.
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is this correct so far? please help!!
It's correct, y = 3
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Sub for y in 2x + y = 10
2x + 3 = 10
2x = 7
x = 3.5 or 7/2
That's all


Points-lines-and-rays/463640: Solve the following systems of equations and state if any lines are parallel: 9x - 8 = y
8x - 4 = y
1 solutions

Answer 317620 by Alan3354(30993) About Me  on 2011-06-22 18:57:55 (Show Source):
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9x - 8 = y
8x - 4 = y
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Since they both = y,
9x - 8 = 8x - 4
x = 4
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y = 28


Distributive-associative-commutative-properties/463621: what is the answer for 2x-(8x-1)-15
1 solutions

Answer 317615 by Alan3354(30993) About Me  on 2011-06-22 18:44:48 (Show Source):
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It depends on the question.


Linear-systems/463615: -3x+y=-2
y=-x-6
3x+7y=6
2x+9y+4
radicals and inequalities
quadratic functions
literal equations
exponential functions
1 solutions

Answer 317612 by Alan3354(30993) About Me  on 2011-06-22 18:41:00 (Show Source):
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Do you have a question?


Linear-equations/463582: I am having problems solving these math problems and was wondering if someone could give me step by step instuction so that I can see where I am going wrong when solving the problem.
x+3=2x-7,2y+1=5(y-4),3-5+2x=x-6,2(x-1)=x+11,and 2x-5x=18
1 solutions

Answer 317587 by Alan3354(30993) About Me  on 2011-06-22 17:03:48 (Show Source):
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How many problems is that?


Graphs/463598: How can one find the solutions of the quadratic equation by using the quadratic formula method?
State the formula

1 solutions

Answer 317578 by Alan3354(30993) About Me  on 2011-06-22 16:18:46 (Show Source):
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For example, 2x%5E2+%2B+5x+-+7+=+0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 2x%5E2%2B5x%2B-7+=+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=%285%29%5E2-4%2A2%2A-7=81.

Discriminant d=81 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-5%2B-sqrt%28+81+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%285%29%2Bsqrt%28+81+%29%29%2F2%5C2+=+1
x%5B2%5D+=+%28-%285%29-sqrt%28+81+%29%29%2F2%5C2+=+-3.5

Quadratic expression 2x%5E2%2B5x%2B-7 can be factored:
2x%5E2%2B5x%2B-7+=+%28x-1%29%2A%28x--3.5%29
Again, the answer is: 1, -3.5. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B5%2Ax%2B-7+%29



Equations/463485: 4(x+2)=28
1 solutions

Answer 317570 by Alan3354(30993) About Me  on 2011-06-22 13:56:36 (Show Source):
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4(x+2)=28
Divide by 4
x+2 = 7
Subtract 2
x = 5


Mixture_Word_Problems/463460: How would you make 2 liters of Normal Saline D5? (D5=5% w/v dextrose)
1 solutions

Answer 317553 by Alan3354(30993) About Me  on 2011-06-22 11:21:43 (Show Source):
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I would get two 1 liter bottles.


Parallelograms/463452: find the value of x for which ABCD must be a parallelogram...18-4x,7x+7 is given
1 solutions

Answer 317551 by Alan3354(30993) About Me  on 2011-06-22 11:20:24 (Show Source):
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Are those the sides? the angles?
Insufficient data


Exponents/463445: a^m+1/a^-m-1 how to solve it

1 solutions

Answer 317550 by Alan3354(30993) About Me  on 2011-06-22 11:17:03 (Show Source):
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It's not an equation, so you can't solve it.


Rectangles/463433: what is the total area of 365cm x 181 cm? and how do i convert to square inch?
1 solutions

Answer 317549 by Alan3354(30993) About Me  on 2011-06-22 11:14:58 (Show Source):
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what is the total area of 365cm x 181 cm? and how do i convert to square inch?
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How is "total area" different from area?
Area = 365*181 sq cm, just multiply it.
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1 inch = 2.54 cm
Area = (365/2.54)*(181/2.54) sq inches
= (Area in sq cm) divided by 2.54^2


Triangles/463504: Find the length of the hypotenuse of a right triangle whose legs are 3 and √(2)
1 solutions

Answer 317548 by Alan3354(30993) About Me  on 2011-06-22 11:10:50 (Show Source):
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Find the length of the hypotenuse of a right triangle whose legs are 3 and √(2)
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h%5E2+=+a%5E2+%2B+b%5E2+=+9+%2B+2+=+11
h+=+sqrt%2811%29


Graphs/463499: (3x-4y)^2
1 solutions

Answer 317546 by Alan3354(30993) About Me  on 2011-06-22 11:03:45 (Show Source):


Polynomials-and-rational-expressions/463502: Factor. Check by multiplying.
8x^2 + 16x
1 solutions

Answer 317545 by Alan3354(30993) About Me  on 2011-06-22 10:56:03 (Show Source):
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8x^2 + 16x = 8x*(x + 2)


Miscellaneous_Word_Problems/463462: how many sets of answer are possible for a true-or-false quiz of 20 questions?
1 solutions

Answer 317537 by Alan3354(30993) About Me  on 2011-06-22 09:07:40 (Show Source):
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2%5E20+=+1048576
Commonly called 1 Meg


Volume/463346: How many cubic feet are in a cylinder that has a diameter of 8 feet and a height of 12 feet?
1 solutions

Answer 317494 by Alan3354(30993) About Me  on 2011-06-21 22:17:50 (Show Source):
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radius = 4 ft
Vol+=+pi%2Ar%5E2%2Ah+=+pi%2A16%2A12+=+192pi cf
Vol =~ 603 cubic ft