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absolute-value/337666: Can you please walk me through the process to solve the following equation:
4-3(w-5) < -2w

Thank you.
1 solutions

Answer 242076 by Fombitz(13828) About Me  on 2010-09-01 10:30:14 (Show Source):
You can put this solution on YOUR website!
It's the same procedure as you would do with an "=" sign with only minor differences.
4-3%28w-5%29+%3C+-2w+
4-3w%2B15+%3C+-2w
-3w%2B19%3C-2w
-3w%2B19-19%3C-2w-19
-3w%2B0%3C-2w-19
-3w%3C-2w-19
-3w%2B2w%3C-2w%2B2w-19
-w%3C0-19
-w%3C-19
highlight%28w%3E19%29 One of those minor differences, multiplication/division by a negative numbers changes the direction of the inequality.



Numbers_Word_Problems/337434: i am a two digit number. the sum of my digits is ten. ten and one is greater than the one digit
1 solutions

Answer 242074 by Fombitz(13828) About Me  on 2010-09-01 10:27:15 (Show Source):
You can put this solution on YOUR website!
Can you clarify what this means "ten and one is greater than the one digit"?


absolute-value/337665: Please help with this algebraic conumdrum as I'm having difficulty with slope intercept. Thank you.
The line through (-1,-2) with slope 3/7. Write the equation for this line. Give the answer in slope-intercept form.
1 solutions

Answer 242072 by Fombitz(13828) About Me  on 2010-09-01 10:25:58 (Show Source):
You can put this solution on YOUR website!
Conundrum?
There is a formula, you know.
It was worked out hundreds of years ago, just use it.
Use the point-slope form of a line and convert it to slope-intercept form,
y-yp=m%28x-xp%29
y-%28-2%29%29=%283%2F7%29%28x-%28-1%29%29
y%2B2=%283%2F7%29%28x%2B1%29
Now convert it to slope-intercept form to complete the problem.


Quadratic_Equations/337510: h(x) = -(x-2)2 . How do you graph this problem
1 solutions

Answer 242068 by Fombitz(13828) About Me  on 2010-09-01 10:23:39 (Show Source):
You can put this solution on YOUR website!
The equation is in vertex form, y=a%28x-h%29%5E2%2Bk where (h,k) is the vertex.
(h,k)=(2,0)
The axis of symmetry is x=2
Pick points on opposite sides of the axis of symmetry and plot them.
y%281%29=y%283%29=-1
y%280%29=y%284%29=-4
y%28-1%29=y%285%29=-9
Plot those points, then draw the curve.
.
.
.


Inverses/337473: The instructions states that y varies inversely with x, use the specified values to write an inverse variation equation that relates x and y, then find y when x=18. The questions are x=6,y=9 and x=2/3,y=12, how do i find the answers to these questions and what is a inverse variation equation?
1 solutions

Answer 242065 by Fombitz(13828) About Me  on 2010-09-01 10:17:08 (Show Source):
You can put this solution on YOUR website!
There is direct variation, where y=kx
and there is inverse variation, where y=k%2Fx or xy=k
So then solve for each k.
xy=k
6%2A9=k
k=54
xy=54 or y=54%2Fx
Complete the second one the same way.


Rational-functions/337475: F(x) + G(x)
F(x)= x/x+1
G(x)= x^2 - 1
x/x+1 + x^2 -1
1 solutions

Answer 242063 by Fombitz(13828) About Me  on 2010-09-01 10:15:11 (Show Source):
You can put this solution on YOUR website!
Yes, but I think your teacher expects you to simplify.
Use a common denominator, x%2B1
F%28x%29%2BG%28x%29=x%2F%28x%2B1%29+%2B+%28%28x%5E2-1%29%28x%2B1%29%29%2F%28x%2B1%29
F%28x%29%2BG%28x%29=%28x%2B%28x%5E2-1%29%28x%2B1%29%29%2F%28x%2B1%29
F%28x%29%2BG%28x%29=%28x%2B%28x%5E3%2Bx%5E2-x-1%29%29%2F%28x%2B1%29
F%28x%29%2BG%28x%29=%28x%5E3%2Bx%5E2-1%29%2F%28x%2B1%29


Length-and-distance/337638: .Danny and his sister Elise are 24 miles apart. They start biking toward each other. Danny rides at a rate of 8 miles per hour, and Elise rides at a rate of 12 miles per hour. How long will it be before they meet? How far will they have traveled?
1 solutions

Answer 242062 by Fombitz(13828) About Me  on 2010-09-01 10:11:27 (Show Source):
You can put this solution on YOUR website!
DUPLICATE See Question 337637


Length-and-distance/337637: Danny and his sister Elise are 24 miles apart. They start biking toward each other. Danny rides at a rate of 8 miles per hour, and Elise rides at a rate of 12 miles per hour. How long will it be before they meet? How far will they have traveled?
1 solutions

Answer 242061 by Fombitz(13828) About Me  on 2010-09-01 10:11:00 (Show Source):
You can put this solution on YOUR website!
Rate*Time=DIstance
.
.
.
For Danny,
8%2At=D1
For Elise,
12%2At=D2
Find t when D1%2BD2=12
8t%2B12t=12
20t=12
t=12%2F20=3%2F5hr
t=36 minutes
.
.
.
For Danny,
D1=8%2A%283%2F5%29=24%2F5miles
For Elise,
D2=12%2A%283%2F5%29=36%2F5miles


absolute-value/337659: I need to write the absolute value of the difference of m and -15 in numerical or algebraic expression. I can't figure it out, can you help?
1 solutions

Answer 242059 by Fombitz(13828) About Me  on 2010-09-01 10:08:27 (Show Source):
You can put this solution on YOUR website!
difference of m and -15 =m-%28-15%29=m%2B15
absolute value of the difference=abs%28m%2B15%29


Polynomials-and-rational-expressions/337661: Can you help me factor these three equations? Please and Thank you
1. 12x^2+18X
2. 3x^2-48
3. 9a^2-24ab+16b^2
1 solutions

Answer 242057 by Fombitz(13828) About Me  on 2010-09-01 10:07:20 (Show Source):
You can put this solution on YOUR website!
1.12x%5E2%2B18x=6x%282x%2B3%29
.
.
.
2. 3x%5E2-48+=3%28x%5E2-16%29
3x%5E2-48=3%28x-4%29%28x%2B4%29
.
.
.
3. 9a%5E2-24ab%2B16b%5E2=%283a-4b%29%283a-4b%29
9a%5E2-24ab%2B16b%5E2=%283a-4b%29%5E2


percentage/337484: Can you provide me with detail instructions how to construct four separate pie graphs- = 10%, 50%, 70%, 90%. I will await your prompt reply. Thank you.
Victor James






5
1 solutions

Answer 242055 by Fombitz(13828) About Me  on 2010-09-01 10:05:06 (Show Source):
You can put this solution on YOUR website!
The procedures are the same for each pie except for one.
Draw the circle.
Break it into 10 equal pie slices.
For 10%, shade 1 of the 10 since 1/10=10/100=10%.
For 70%, shade 7 of the 10 since 7/10=70/100=70%.
For 90%, shade 9 of the 10 since 9/10=90/100=90%.
The easier one is 50%.
Break the pie into two equal slices and shade 1 slice since 1/2=50/100=50%.


test/337547: 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 242054 by Fombitz(13828) About Me  on 2010-09-01 10:02:34 (Show Source):
You can put this solution on YOUR website!
PLease re-post.


Functions/337657: f(x)=7x+4 how to solve?!
1 solutions

Answer 242052 by Fombitz(13828) About Me  on 2010-09-01 09:53:34 (Show Source):
You can put this solution on YOUR website!
What are you solving for?
f%28x%29=7x%2B4 is the equation of a line.
.
.
.
THere are no restrictions on the domain.
Domain:(-infinity, infinity)


Quadratic_Equations/337605: 8y²-72=0
1 solutions

Answer 242051 by Fombitz(13828) About Me  on 2010-09-01 09:52:56 (Show Source):


Polynomials-and-rational-expressions/337508: x^3+8x^2+2x+16
1 solutions

Answer 242050 by Fombitz(13828) About Me  on 2010-09-01 09:50:50 (Show Source):
You can put this solution on YOUR website!
x%5E3%2B8x%5E2%2B2x%2B16=%28x%5E2%2B2%29%28x%2B8%29
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.
.
What's the question?


Geometry_proofs/337598: Prove the nine-point circle.
1 solutions

Answer 242049 by Fombitz(13828) About Me  on 2010-09-01 09:49:41 (Show Source):
You can put this solution on YOUR website!
Here's a couple of links.
That's a pretty complication construction and better handled this way.
If you don't like those, then just search on nine-point circle.
.
.
.
http://mathworld.wolfram.com/Nine-PointCircle.html
http://jwilson.coe.uga.edu/EMT668/EMT668.Folders.F97/Anderson/geometry/geometry1project/construction/construction.html


Rectangles/337655: rectangle having a lenght of 1 inches and a width of 4 inches
1 solutions

Answer 242048 by Fombitz(13828) About Me  on 2010-09-01 09:47:39 (Show Source):
You can put this solution on YOUR website!
OK, but what's the question?


test/337594: Solve r+6/5=r+8/7
1 solutions

Answer 242047 by Fombitz(13828) About Me  on 2010-09-01 09:47:12 (Show Source):
You can put this solution on YOUR website!
%28r%2B6%29%2F5=%28r%2B8%29%2F7
Multiply both sides by 35.
7%28r%2B6%29=5%28r%2B8%29
7r%2B42=5r%2B40
Take it from there and solve for r.


Numbers_Word_Problems/337617: Solve by elimination.
-6x - 2y = -5
-12x - 4y = -10
1 solutions

Answer 242046 by Fombitz(13828) About Me  on 2010-09-01 09:42:51 (Show Source):
You can put this solution on YOUR website!
Multiply eq. 1 by -2 to eliminate y.
12x%2B4y-12x-4y=10-10
0=0
Eq. 1 and eq. 2 are the same line (twice eq.1 equals eq. 2).
This is a dependent system with an infinite number of solutions.


Quadratic_Equations/337618: Please help me transform this in standard form and find the value of a, b and c:
x(3x-4x+5)=6
1 solutions

Answer 242045 by Fombitz(13828) About Me  on 2010-09-01 09:41:00 (Show Source):
You can put this solution on YOUR website!
What are a,b, and c?
Coefficients of the quadratic equation?
x%283x-4x%2B5%29=6
x%28-x%2B5%29=6
-x%5E2%2B5x=6
-x%5E2%2B5x-6=0
You can readily identify the coefficients in this form.


Numbers_Word_Problems/337625: Decide whether or not the ordered pair is a solution of the system.
(1, -3)
2x + y = -1
3x + 2y = -3

1 solutions

Answer 242044 by Fombitz(13828) About Me  on 2010-09-01 09:38:50 (Show Source):
You can put this solution on YOUR website!
Plug in the values and see if the equations are satisfied.
2x+%2B+y+=+-1
2%281%29%2B%28-3%29=-1
.
.
.
3x+%2B+2y+=+-3+
3%281%29%2B2%28-3%29=-3
.
.
.
Take it from there and see if the right and left hand sides match for each.
If they both do, then it's a good solution.
Else, it's not a solution.


Angles/337628: what is the square root of 189
1 solutions

Answer 242043 by Fombitz(13828) About Me  on 2010-09-01 09:36:50 (Show Source):


Average/337648: Going into the final exam, Tiffany has test scores of 80, 81, 73, 65 and 91. What score does she need on the final in order to end up with an average score of at least 80? The final counts double.
1 solutions

Answer 242042 by Fombitz(13828) About Me  on 2010-09-01 09:36:04 (Show Source):
You can put this solution on YOUR website!
%2880%2B81%2B73%2B65%2B91%2B2F%29%2F7%3E=80
390%2B2F%3E=560
2F%3E=170
F%3E=85
She needs at least an 85.


Quadratic_Equations/337652: 2x2+9x+4=0
I could really use some help with this problem
1 solutions

Answer 242040 by Fombitz(13828) About Me  on 2010-09-01 09:34:26 (Show Source):
You can put this solution on YOUR website!
2x%5E2%2B9x%2B4=0
You could factor, complete the square, or use the quadratic formula.
Factor this quadratic.
%282x%2B1%29%28x%2B4%29=0
Two solutions, use the zero product property.
2x%2B1=0
and
x%2B4=0
Solve those two equations to find the zeros of your function.


Proportions/337651: If a single letter is drawn from the set {m,a,t,h,e,i,c,s}
what is the probability that the letter drawn is a member
of the set {m,a,t,h}?
Can someone please help me with this I am completley lost on how to do this. I think that the probability would be 1/2 but I do not know how to explain it. Thank you!
1 solutions

Answer 242039 by Fombitz(13828) About Me  on 2010-09-01 09:32:34 (Show Source):
You can put this solution on YOUR website!
Total choices in the first set : 8
Choices that occur in second set : 4
P=4%2F8=1%2F2


Number-Line/337649: Which of 1, 2^1/2, 3^1/3, 4^1/4, 5^1/5 is largest?
1 solutions

Answer 242038 by Fombitz(13828) About Me  on 2010-09-01 09:31:16 (Show Source):
You can put this solution on YOUR website!
Take each number to the 30th power.
1%5E30=1
%282%5E%281%2F2%29%29%5E30=2%5E15
%283%5E%281%2F3%29%29%5E30=3%5E10
%284%5E%281%2F4%29%29%5E30=4%5E%2815%2F2%29=2%5E15
%285%5E%281%2F5%29%29%5E30=5%5E6
.
.
.
27%3E25
3%5E3%3E5%5E2
%283%5E3%29%5E3%3E%285%5E2%29%5E3
3%5E9%3E5%5E6
So then
3%5E10%3E5%5E6
.
.
.
9%3E8
3%2A3%3E2%2A2%2A2
3%5E2%3E2%5E3
%283%5E2%29%5E5%3E%282%5E3%29%5E5
So then
3%5E10%3E2%5E15
.
.
.
32%3E25
2%5E5%3E5%5E2
%282%5E5%29%5E3%3E%285%5E2%29%5E3
So then
2%5E15%3E5%5E6
.
.
.
Finally put it all together.
From largest to smallest.
3%5E10
2%5E15=4%5E%2815%2F2%29
5%5E6
1%5E30
.
.
.
3%5E%281%2F3%29
2%5E%281%2F2%29=4%5E%281%2F4%29
5%5E%281%2F5%29
1


Average/337644: How do you work out the average when you have a beginning total and an ending total?
1 solutions

Answer 242037 by Fombitz(13828) About Me  on 2010-09-01 09:17:35 (Show Source):
You can put this solution on YOUR website!
Average Total=(Beginning Total + Ending Total)/2


Probability-and-statistics/337646: Five balls are numbered 1 through 5 and placed in a bowl. Josh will randomly choose a ball from the bowl, look at its number and then put it back into the bowl. Then Josh will again randomly choose a ball from the bowl and look at its number. What is the probability that the product of the two numbers will be even and greater than 10? Express your answer as a common fraction.
1 solutions

Answer 242035 by Fombitz(13828) About Me  on 2010-09-01 09:16:29 (Show Source):
You can put this solution on YOUR website!
Look at all of the possible combinations and their products.
There are 25 of them.
1 1 1
2 1 2
3 1 3
4 1 4
5 1 5
1 2 2
2 2 4
3 2 6
4 2 8
5 2 10
1 3 3
2 3 6
3 3 9
4 3 12
5 3 15
1 4 4
2 4 8
3 4 12
4 4 16
5 4 20
1 5 5
2 5 10
3 5 15
4 5 20
5 5 25
Of those 25, 10 have a product of 10 or greater.
P%28Product%3E=10%29=10%2F25=2%2F5



Rational-functions/337597: I need a graph of a parabola with Vertex: (5/2,-25/4) Axis of symmetry: x=5/2. Any help would be greatly appreciated.
1 solutions

Answer 242034 by Fombitz(13828) About Me  on 2010-09-01 09:13:56 (Show Source):
You can put this solution on YOUR website!
You need more information.
Using the vertex form,
y=a%28x-5%2F2%29%5E2-25%2F4%29
But you have no information regarding a.
Here are three plots with a=1,-2, and 3.2.
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Radicals/337595: Please help me solve this equation: +sqrt+%28+5+%29%2F+sqrt+%2812x%5E4+%29+.
1 solutions

Answer 242033 by Fombitz(13828) About Me  on 2010-09-01 09:07:27 (Show Source):


Quadratic-relations-and-conic-sections/337643: Find the x-intercepts of the parabola with vertex (-7,45) and y-intercept (0,-200).
write yiour anwser in this form : (x,y), (x2,y2).
If necessary round to nearest hundredth
1 solutions

Answer 242032 by Fombitz(13828) About Me  on 2010-09-01 09:04:33 (Show Source):
You can put this solution on YOUR website!
Use the vertex form,
y=a%28x-h%29%5E2%2Bk
y=a%28x%2B7%29%5E2%2B45
Use the y-intercept to solve for a.
-200=a%280%2B7%29%5E2%2B45
49a%2B45=-200
49a=-245
a=-5
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y=-5%28x%2B7%29%5E2%2B45=0
5%28x%2B7%29%5E2=45
%28x%2B7%29%5E2=9
x%2B7=0+%2B-+3
x=-7+%2B-+3
highlight%28x=-10%29 and highlight%28x=-4%29
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