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edjones answered: 7568 problems
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Miscellaneous_Word_Problems/110040: This question is from textbook university of Phoenix Elementary and Intermediate Algebra
Ok so this one has me totally frustrated. Thank you in advance for your help, you guys are life savers:)
If you produce x photo calanders, the average cost per calander is given by
A(x)=-0.4x^2+24x+42
---------------
x
What is you average cost, if you produce twenty-five calanders?
1 solutions

Answer 80170 by edjones(7569) About Me  on 2007-11-13 23:36:07 (Show Source):
You can put this solution on YOUR website!
A%28x%29=%28-0.4x%5E2%2B24x%2B42%29%2Fx I assume this is the problem.
A%2825%29=%28-0.4%2A25%5E2%2B24%2A25%2B42%29%2F25
A%2825%29=-0.4%2A25%2B24%2B%2842%2F25%29
A(25)=-10+24+1.68
A(25)=$15.68
Ed


Square-cubic-other-roots/110037: Solve the equation (5-2x)^2 = 25 by using the Square Root Property
1 solutions

Answer 80164 by edjones(7569) About Me  on 2007-11-13 23:21:57 (Show Source):
You can put this solution on YOUR website!
(5-2x)^2=25
5-2x=+-5 sqrt of both sides.
-2x=-5+-5
x=(-5+-5)/-2
x=0/-2, x=-10/-2
x=0, x=5
Always check:
5^2=25 true
(5-10)^2=25 true
Ed


Square-cubic-other-roots/110041: Solve q=sqrt(q) + 6
1 solutions

Answer 80158 by edjones(7569) About Me  on 2007-11-13 23:04:25 (Show Source):
You can put this solution on YOUR website!
q=sqrt(q)+6
q-6=sqrt(q)
q^2-12q+36=q square both sides.
q^2-13q+36=0
(q-9)(q-4)=0
q=9, q=4
Always check these.
9=sqrt(9)+6 true
4=sqrt(4)+6 false
q=9 is the only answer.
Ed


Coordinate-system/110042: I really don't understand...
Find the axis of symmetry.
y=x^2+5x-7
Thank you!
1 solutions

Answer 80155 by edjones(7569) About Me  on 2007-11-13 22:56:16 (Show Source):
You can put this solution on YOUR website!
y=ax^2+bx+c
y=x^2+5x-7
.
-b/2a is the formula for axis of symmetry and the maximum or minimum at x of a parabola.
-5/2=-2.5=axis of symmetry.
Look at the graph.
Ed
graph%28500%2C500%2C-7%2C4%2C-15%2C5%2Cx%5E2%2B5x-7%29


Numeric_Fractions/110046: I'm doing simplify fractions and the problem is 36 over 48.for 36 I ended up getting 3,2,3,2.For 48 i got 4,2,3,2
1 solutions

Answer 80153 by edjones(7569) About Me  on 2007-11-13 22:43:40 (Show Source):
You can put this solution on YOUR website!
you factored the numbers but you didn't simplify the fractions.
you see that 3,2,2 are factors of both of them.
3*2*2=12
divide 12 into each number. 3/4 is the answer.
It really helps if you see that 12 goes into both of them immediately; then you don't have to do the factoring.
Ed


Travel_Word_Problems/110045: A Sailer on leave drove to Yosemite Park from his home at 60 miles per hour. On his trip home, his rate waws 10 miles per hour less, and the trip took 1 hour longer. How far is his home from the park?
I dont know how to set it up or when you know you got your final answer. The book used a chart, but how do you know where to put the info
1 solutions

Answer 80152 by edjones(7569) About Me  on 2007-11-13 22:36:30 (Show Source):
You can put this solution on YOUR website!
st=d, s=speed, t=time, d=distance
Going s=60, time=t, d=60t
Returning: s=50, time=t+1, d=50(t-1)
The distance is the same so we can make an equation.
60t=50(t+1)
60t=50t+50
60t-50t=50t-50t+50
10t=50
10t/10=50/10
t=5 hrs
going d=60*5=300 mi Answer
Check:
returning d=50*6=300 mi
I hope this helped. Keep working, you'll get it.
Ed


Polynomials-and-rational-expressions/110020: These two problems are causing me trouble 5%2F%28x-2%29-+5%2F%28x%2B2%29=4 also, %28x%2F3%29-%28x%2B2%29%2F2+=1
1 solutions

Answer 80151 by edjones(7569) About Me  on 2007-11-13 22:17:11 (Show Source):
You can put this solution on YOUR website!
In all of the rational expressions get rid of fractions! makes problem much easier.
5%2F%28x-2%29-+5%2F%28x%2B2%29=4
5(x+2)-5(x-2)=4(x-2)(x+2) multiply both sides by (x-2)(x+2)
5x+10-5x+10=4(x^2-4)
+20=4(x^2-4)
x^2-4=5 divide both sides by 4
x^2=9
x=+-3
.
This is much easier.
%28x%2F3%29-%28x%2B2%29%2F2+=1
2x-3(x+2)=6 multiply each side by 6
2x-3x-6=6
-x=12
x=-12
.
Ed


Coordinate-system/110028: Find the x-intercepts.
y=x^2+5x+2
Please if you would take me through the steps? Thank you.
1 solutions

Answer 80147 by edjones(7569) About Me  on 2007-11-13 21:25:37 (Show Source):
You can put this solution on YOUR website!
the x intercepts occur when y=0
x^2+5x+2=0
x^2+5x =-2
x^2+5x+25/4=-2+ 25/4 Complete the square by adding 25/4 to both sides.
(x+ 5/2)^2=17/4
x+5/2=+-1/2sqrt(17)
x=-5/2+-1/2sqrt(17)
x= -.438447, x= -4.56155
Ed
graph%28500%2C500%2C-15%2C5%2C-10%2C10%2Cx%5E2%2B5x%2B2%29


Quadratic-relations-and-conic-sections/109770: this one is tough.. you are making a coffee table with a glass top surrounded by a cherry border. The glass is 3 feet by 3 feet. You want the cherry border to be uniform width. you have 7 square feet of cherry to make the border. set up an equation that would be used to solve this. what should the width of the border be?
if you could please help me.. it would be greatly appreciated. PLEASE! :]
1 solutions

Answer 80018 by edjones(7569) About Me  on 2007-11-13 01:27:57 (Show Source):
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A=3*3=9
P=4*3=12
(x+3)^2-9=7
x^2+6x+9-9=7
x^2+6x-7=0
(x+7)(x-1)=0
x=-7 not an answer,
x=1 ft Answer
Ed


Equations/109822: The length of a rectangle is 5 centimetres more than twice the width. The perimetre is 82 centimetres
and we have to solve these questions:
1) Find an equasion to represent the perimetre of the rectangle. Write your answer in simplest terms.
2) Solve the equasion to find the width of the rectangle
3) Find the length of the rectangle
This is for my homework which is due TOMORROW!!! i f you could answer there for me it would be GREAT!! thankyou soo much and i have tried to work theese out by going ( l= length) (w= width) l+l+w+w=82cm i dont know if this is right or not! THANKS from izzi
1 solutions

Answer 80017 by edjones(7569) About Me  on 2007-11-13 01:11:18 (Show Source):
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L=2w+5, p=82
.
1) P= 2L+2w = 82
2(2w+5)+2w=82 Substitute 2w+5 for L
4w+10+2w=82
6w+10=82
6w+10-10=82-10
6w=72
6w/6=72/6
w=12 cm Answer 2)
.
3) L=2w+5
L=2*12+5
L=29 cm
.
Ed


Radicals/109827: Simplfy:
assume that all variables are non negative real numbers
5th square root of -243x^30y^31=
1 solutions

Answer 80016 by edjones(7569) About Me  on 2007-11-13 00:57:34 (Show Source):


Quadratic_Equations/109808: This question is from textbook
Beatrice and javier can paint a room in 5 hours. Working alone, javier can paint the room in 2 hours less time than Beatrice can. Find how long it takes her to paint the room alone.

1 solutions

Answer 80014 by edjones(7569) About Me  on 2007-11-12 23:37:19 (Show Source):
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Let b= hours for Beatrice to paint the room. j= hrs for Javier to paint room.
j=b-2
The trick of these problems is to take the reciprocals of the hours to do the job. The reciprocal tells us what fraction of the job can be done in 1 hour.
1/b + 1/j = 1/5
1/b + 1/(b-2)=1/5 Replace j with b-2
5(b-2)+5b=b^2-2b multiply both sides by 5b(b-2) to eliminate fractions.
5b-10+5b=b^2-2b
-b^2+2b+5b+5b-10=0
-b^2+12b-10=0
b^2-12b+10=0 multiply each side by -1.
b=.9 too low to be an answer.
b=11.1 hrs approx Answer.
j=9.1 hrs approx
Check:
1/9.1 + 1/11.1 = 1/5 approx
Ed


Rational-functions/109810: Find the range of f(x)=x^2-2x-1 Determine the values of x in the domain of 'f' for which f(x)=2
**^2 means squared!! =]
1 solutions

Answer 80011 by edjones(7569) About Me  on 2007-11-12 22:57:43 (Show Source):
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graph%28500%2C500%2C-10%2C10%2C-10%2C10%2Cx%5E2-2x-1%29
Range= -2 to infinity
.
f(x)=x^2-2x-1
x^2-2x-1=2
x^2-2x-3=0
(x-3)(x+1)=0
x=3, x=-1
.
Ed


Quadratic_Equations/109585: I am supposed to find k in the following quadratic equation:
(k+3)x^2 + 2kx + 4 = 0.
I have tried using the quadratic formula and unless I'm doing something wrong I don't come up with k. I have tried using the discriminant to find k with no success. I must be missing something easy.
Thanks for your help, Don
1 solutions

Answer 79871 by edjones(7569) About Me  on 2007-11-12 14:01:09 (Show Source):
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(k+3)x^2 + 2kx + 4 = 0.
kx^2+3x^2+2kx+4=0
kx^2+2kx=-3x^2-4
k(x^2+2x)=-3x^2-4
k=(-3x^2-4)/(x^2+2x)
Ed


percentage/109574: FIND EACH PERCENT OF CHANGE. ROUND TO THE NEAREST TENTH. STATE WHETHER THE CHANGE IS AN INCREASE OR DECREASE.
1.) 144 to 204
2.) 758 to 604
3.) 8.3 to 9.10
I need this ASAP!
Thanks whoever solves this!
1 solutions

Answer 79867 by edjones(7569) About Me  on 2007-11-12 13:36:35 (Show Source):
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1.) 144 to 204
2.) 758 to 604
3.) 8.3 to 9.10
.
1) 204*100/144=144.7% increase.
2) 604*100/758=79.7% decrease
3) 9.1*100/8.3=109.6% increase
.
Ed


Signed-numbers/109581: I am taking on-line classes through Axia College University of Phoenix I print off my math chapter materials so I do not have ISBN #.

My question is this:
The kinetic energy of a particle of mass m is found by taking one-half of the product of the mass(m)and the square of the velocity(v). Write an expression an expression for the kinetic energy of a particle.
I am not sure where to begin on this one, All I have been able to do is this: 1/2(m) + (v)^ I do not think this is correct. I would greatly appreciate any help with this one.
Thank you for your input, Barb Neely
1 solutions

Answer 79865 by edjones(7569) About Me  on 2007-11-12 13:27:58 (Show Source):
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let k be kinetic energy.
k=(m*v^2)/2
Ed


Human-and-algebraic-language/109566: 5x+6y=18
Solve for y
Answer:

Show your work here:
b) When graphed this equation would be a line. By examining your answer to part a, what is the slope and y-intercept of this line?
Slope = ______
Y-intercept = _____
c) Using your answer from part a, find the corresponding value of y when x =12.

1 solutions

Answer 79864 by edjones(7569) About Me  on 2007-11-12 13:23:18 (Show Source):
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5x+6y=18
6y+5x-5x=-5x+18
6y=-5x+18
6y/6=-5x/6 + 18/6
y=-5x/6 + 3
.
slope=-5/6
.
y intercept occurs when x=0
y=3 (0,3)
.
when x=12
y= -5*12/6 + 3
= -10+3
= -7
.
Ed
graph%28500%2C500%2C-5%2C15%2C-10%2C10%2C%28-5x%2F6%29%2B3%29


Exponents-negative-and-fractional/109532: This question is from textbook algebra2 with trigonometry
hi i really need some help here. the sum of 3 consecutive integers is -9. what are the integers? thanks!!!
1 solutions

Answer 79862 by edjones(7569) About Me  on 2007-11-12 12:59:07 (Show Source):
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integers are whole numbers.
Let the 3 numbers be x, x+1, x+2
x+x+1+x+2=-9
3x+3=-9
3x+3-3=-9-3
3x=-12
3x/3=-12/3
x=-4
x+1=-3
x+2=-2
Ed


Linear-systems/109527: hiya!! please can you help me with formula please!it is 3x+5 divide by 2 and then times by 3 >>i do not know how to do it ive tried many ways but still think i got it wrong xxxxthank you
1 solutions

Answer 79861 by edjones(7569) About Me  on 2007-11-12 12:53:56 (Show Source):
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3(3x+5)/2
=(9x+15)/2
=4.5x+7.5
Ed


Inequalities/109534: This question is from textbook algebra2 with trigonometry
hi,
two factors of x^3-3x^2-4x+12 are x+2 and x-3. find the remaining factor. thank you
1 solutions

Answer 79857 by edjones(7569) About Me  on 2007-11-12 12:46:57 (Show Source):
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(x+2)(x-3)=x^2-x-6
(x-2)(x^2-x-6) will make the last number +12 and has to be the answer.
Ed


Linear-equations/109543: This question is from textbook algebra2 with trigonometry
if f(x)=3x and g(x)=x-2 then f(x)+g(x)=? thank you
1 solutions

Answer 79855 by edjones(7569) About Me  on 2007-11-12 12:36:00 (Show Source):


Numeric_Fractions/109556: how do you express fractions into decimels?
how to express hundreths into decimels?
How to subtract decimels?
How to express decimels into %
how to express proper fractions into decimels
how to express a proper fraction as a %
how ratios are turned into persentatges?
I am trying to take a nursing school extrance test and it has been along time since I took algebra. Can you advise on a simple book to learn these?




1 solutions

Answer 79854 by edjones(7569) About Me  on 2007-11-12 12:31:32 (Show Source):
You can put this solution on YOUR website!
Go on line to: themathpage.com


decimal-numbers/109558: estimate the product by rounding each factor to the nearest hundred
851*454 ..
show all step by step calculations
1 solutions

Answer 79853 by edjones(7569) About Me  on 2007-11-12 12:27:43 (Show Source):
You can put this solution on YOUR website!
900*500=450,000


Linear-equations/109538: This question is from textbook algebra2 with trigonometry
hi,
i need some assistance with this question. at what point do the two lines with the equations x+3y=13 and y=3 intersect? thank you
1 solutions

Answer 79850 by edjones(7569) About Me  on 2007-11-12 12:24:43 (Show Source):
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y=3
.
x+3y=13
3y=-x+13
y=-x/3+13/3
.
Ed
graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C3%2C%28-x%2F3%29%2B%2813%2F3%29%29


Polynomials-and-rational-expressions/109545: Solve the equation.
(x-9)(x+3)=0
1 solutions

Answer 79847 by edjones(7569) About Me  on 2007-11-12 12:03:39 (Show Source):
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(x-9)(x+3)=0
x=9, x=-3


Miscellaneous_Word_Problems/109526: A 100 pound watermelon is 95 percent water. It is dehydrated until it is 90 percent water. What is its weight of dehydration?
1 solutions

Answer 79845 by edjones(7569) About Me  on 2007-11-12 11:54:48 (Show Source):
You can put this solution on YOUR website!
.
weight of water/weight of melon = % of water. Assuming water and non-water portions of melon weigh the same.
95/100=.95
.
Let x=weight of water lost.
(95-x)/(100-x)=.9
95-x=.9(100-x)
95-x=90-.9x
.1x=5
x=50 lbs!!!
Surprising answer.
So, the watermelon weighs 50 lbs.
.
Check:
45/50=.9
.
Ed


Equations/109521: One eighth of the square root of 7 less than a number is 2. what is the number?
1 solutions

Answer 79837 by edjones(7569) About Me  on 2007-11-12 10:50:32 (Show Source):
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Let x be the number
x-%28sqrt%287%29%2F8%29=2
x=2%2B%28sqrt%287%29%2F8%29
Ed


Length-and-distance/109519: Two planes leave Chicago – one travelling due east and the other due west. The first travels 100 miles per hour faster than the second. How long will it be until they are 2000 miles apart? (I put no solution found)
1 solutions

Answer 79836 by edjones(7569) About Me  on 2007-11-12 10:33:35 (Show Source):


Polynomials-and-rational-expressions/109196: I need help solving this equation:
5 over y - 3 = y + 7 over 2y - 6 plus 1
1 solutions

Answer 79691 by edjones(7569) About Me  on 2007-11-11 12:20:32 (Show Source):
You can put this solution on YOUR website!
5%2F%28y-3%29=%28y%2B7%29%2F%282y-6%29+%2B1
5(2y-6)=(y+7)(y-3)+(y-3)(2y-6) multiply each side by (y-3)(2y-6) to eliminate fractions.
10y-30=y^2+4y-21+2y^2-12y+18
10y-30=3y^2-8y-3
3y^2-18y-27=0
3(y^2-6y-9)=0
(y-3)(y-3)=0
y=3
Since y=3 causes division by zero in the original equation there is no answer.
Ed


Expressions-with-variables/109242: Perform the indicated multiplication. Then simplify each radical expression.
sqrt7a * sqrt13

1 solutions

Answer 79688 by edjones(7569) About Me  on 2007-11-11 12:00:58 (Show Source):
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sqrt7a * sqrt13
sqrt(7a*13)
sqrt(91a)
Ed


Complex_Numbers/109239: i squared[(2+8i)(5+2i)
1 solutions

Answer 79687 by edjones(7569) About Me  on 2007-11-11 11:57:28 (Show Source):
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i squared[(2+8i)(5+2i)
=-1(10+44i-16)
=-10-44i+16
=6-44i
Ed