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Linear-equations/399632: Find the slope-intercept form of the line passing through the point (5, 2) and parallel to the
line y = − 2x + 3. 1 solutions
Answer 283027 by Alan3354(30993) on 2011-01-25 18:21:45 (Show Source):
You can put this solution on YOUR website!A line and a point example.
Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2)
-----------------
Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y.
9x+3y = 36
3y= - 9x + 36
y = -3x + 12
The slope, m = -3
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The slope of lines parallel is the same.
The slope of lines perpendicular is the negative inverse, m = +1/3
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Use y = mx + b and the point (1,2) to find b.
2 = (1/3)*1 + b
b = 5/3
The equation is y = (1/3)x + 5/3 (slope-intercept form)
x - 3y = -5 (standard form)
------------------------
For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com
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Pythagorean-theorem/399685: if you add 4 to each part of the Pythagorean theorem will your answer be the same?
Ex. a^2+4+b^2+4=c^2+4
Or will it be the same if you multiply each part by two?
2a^2+2b^2=2c^2 1 solutions
Answer 283022 by Alan3354(30993) on 2011-01-25 18:18:12 (Show Source):
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Quadratic_Equations/399686: find algebraically the equation of the axis of symmetry and the coordinates of the vertex of the parabola whose equation is y=-2x^2 - 8x +3 1 solutions
Answer 283019 by Alan3354(30993) on 2011-01-25 18:16:01 (Show Source):
You can put this solution on YOUR website!y=-2x^2 - 8x +3
The eqn of the axis of symmetry is x = -b/2a
x = 8/-4
x = -2
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The vertex is (x,f(x))
f(-2) = -2*4 + 16 + 3 = 11
= (-2,11)
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Evaluation_Word_Problems/399682: Hi! Can you please help me with the following word problem: substitution?
John earned $240 in the summer by working at a fast food restraunt and baby-sitting. If he earned five times as much in the restraunt as he did baby-sitting, how much did he earn at each job?
I need an equation for it
Like, I sorta started it by saying F-fastfood and B-babysitting
So, would it be F+B=240?
I'm not sure if its right and I need to solve it too.
Thanks! :) 1 solutions
Answer 283016 by Alan3354(30993) on 2011-01-25 18:12:05 (Show Source):
You can put this solution on YOUR website!John earned $240 in the summer by working at a fast food restraunt and baby-sitting. If he earned five times as much in the restraunt as he did baby-sitting, how much did he earn at each job?
I need an equation for it
Like, I sorta started it by saying F-fastfood and B-babysitting
So, would it be F+B=240?
----------------
let f and b be the pay rate for food and baby-sitting
f = 5b
f + b = 240
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Sub for f
5b + b = 240
6b = 240
b = $40
f = $200
----------
You were going the right way.
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Word_Problems_With_Coins/399678: a business executive bought 40 stamps for $14.40. the purchase included .39 stamps and .24 stamps. How many of each type of stamp sold? 1 solutions
Answer 283014 by Alan3354(30993) on 2011-01-25 18:06:39 (Show Source):
You can put this solution on YOUR website!a business executive bought 40 stamps for $14.40. the purchase included .39 stamps and .24 stamps. How many of each type of stamp sold?
--------------------------
t = 39 cent stamps
c = 24 cent stamps
-------------
t + c = 40
39t + 24c = 1440
-------------
Can you finish it?
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PS He's not much of a business man if he's buying his own stamps, and doesn't have a postage meter.
He won't be in business for long.
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Equations/399652: Solve . Write your solution using set builder notation. Please show all of your work. X+2 >Or = to -3/11 MAY I GET A HAND SOMEONE!! 1 solutions
Answer 282994 by Alan3354(30993) on 2011-01-25 17:36:22 (Show Source):
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Graphs/399535: Solve the compound inequality Please.
I have been trying and I can not seem to figure out how to set the problem up to solve it.
(2x-1)/(4)<=-4 or (2x-1)/(4)>=9 1 solutions
Answer 282912 by Alan3354(30993) on 2011-01-25 14:25:16 (Show Source):
You can put this solution on YOUR website!(2x-1)/(4)<=-4
2x-1 <= -16
2x <= -15
x <= - 7.5
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or (2x-1)/(4)>=9
2x-1 >= 36
2x >= 37
x >= 18.5
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x <= -7.5 or x >= 18.5
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Rectangles/399513: why does a square 45x45 have more sqaure footage than a rectangle 30x60. both could be made from the same two 90' pieces 1 solutions
Answer 282909 by Alan3354(30993) on 2011-01-25 14:20:14 (Show Source):
You can put this solution on YOUR website!The simplest answer is that 45*45 is more than 30*60.
For a given perimeter (180 would make a 45 by 45, not 90) the max area of a rectangle is a square.
------------
For a perimeter of 180
P = 2W + 2L = 180
w + L = 90
Area = W*L = W*(90 - W)
To find the max area as a function of W:
f(W) = w(90 - W) = 90W - W^2
90W - W^2 - area = 0
-W^2 + 90W - area = 0
This is a parabola that is open downward.
The line of symmetry is W = -b/2a = -90/-2 = 45
The max is on the line of symmetry:
f(45) = 90*45 - 45^2 = 4050 - 2025
Max area = 2025 sq units
W = 45
L = 90-45 = 45
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Any other pair that add to 90 will have a smaller product.
It will be (45 + x)*(45 - x) = 2025 - x^2
For any x > 0, it will be less than 2025.
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Note: 2025 is the max area of a rectangle with a perimeter of 180.
A circle will have the max area of all figures.
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Quadratic_Equations/399512: use the quadratic formula to solve the equation
x^2-x=-9
the solution set is {_}
T
ype an exact answer,using radicals as needed. Express complex numbers in terms of i. Use intergers or fractions for any numbers in the expression. Use comas to seperate answers as needed. 1 solutions
Answer 282883 by Alan3354(30993) on 2011-01-25 13:03:52 (Show Source):
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Age_Word_Problems/399410: The ages of Whitney, Wesley, and Wanda are consecutive integers. The sum of their ages is 108. What are their ages? 1 solutions
Answer 282849 by Alan3354(30993) on 2011-01-25 10:48:25 (Show Source):
You can put this solution on YOUR website!108/3 = 36, the middle integer
--> 35, 36 & 37
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If you need to do it the "hard way",
n = middle integer
(n-1) + n + (n+1) = 108
3n = 108
n = 36, etc
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Miscellaneous_Word_Problems/399156: I am a home educator who is having trouble with a word problem using two variables-digit problems.
Find a three-digit number whose units digit is 3 times its hundreds digit and 2 times its tens digit, and the sum of whose digits is 11.
Do they mean that u=3(100h) and u is also equal to 2(10h)?
h+t+u=11
That's as far as I have gotten. Help! 1 solutions
Answer 282719 by Alan3354(30993) on 2011-01-24 20:55:33 (Show Source):
You can put this solution on YOUR website!I am a home educator who is having trouble with a word problem using two variables-digit problems.
Find a three-digit number whose units digit is 3 times its hundreds digit and 2 times its tens digit, and the sum of whose digits is 11.
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h + t + u = 11
u = 3h
u = 2t
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h = u/3
t = u/2
Sub for h & t
u/3 + u/2 + u = 11
2u + 3u + 6u = 66
11u = 66
u = 6
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h = 2
t = 3
--> 236
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Do they mean that u=3(100h) and u is also equal to 2(10h)?
h+t+u=11
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Money_Word_Problems/399209: As of November 2004, the population of the United States was 2.949 x 10^8, and the national debt was 7.529 x 10^12 dollars. How much was each person's share of the debt? 1 solutions
Answer 282713 by Alan3354(30993) on 2011-01-24 20:45:30 (Show Source):
You can put this solution on YOUR website!As of November 2004, the population of the United States was 2.949 x 10^8, and the national debt was 7.529 x 10^12 dollars. How much was each person's share of the debt?
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7.529E12/2.949E8 =~ 2.553067E4
= $25,530.67
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