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Nate answered: 3498 problems
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Thanks!!!
1 solutions
Answer 40029 by Nate(3500)   on 2006-10-27 08:49:36 (Show Source):
You can put this solution on YOUR website!How much does the total bottle weigh with the olive? I have no way of finding the olive's individual weight. Please do not respond in the comment area because I don't check there.
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Systems-of-equations/58448: For every 20ft. of chain link fencing, 80 support posts are used. How many suport posts will be needed for 45ft of chain link fence? Write the proportion that could be used to solve this problem, using the variable x
thanks
1 solutions
Answer 40028 by Nate(3500) on 2006-10-27 08:48:09 (Show Source):
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Polynomials-and-rational-expressions/58436: Find all roots of f(x)=2x^4-17x^3+49x2-23x-91, given that 7/2 and -1 are roots
Thank you
1 solutions
Answer 40027 by Nate(3500) on 2006-10-27 08:46:09 (Show Source):
You can put this solution on YOUR website!f(x) = 2x^4 - 17x^3 + 49x^2 - 23x - 91
(x + 1) is a factor:
-1|....2....-17....49....-23....-91
........2....-19....68.....-91....0
(x + 1)(2x^3 - 19x^2 + 68x - 91) = f(x)
(x - 7/2) is a factor:
7/2|....2....-19....68....-91
.........2.....-12....26.....0
(x + 1)(x - 7/2)(2x^2 - 12x + 26) = f(x)
(x + 1)(x - 7/2)2(x^2 - 6x + 13) = f(x)
Don't Exist
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Graphs/58438: Graph y=(x-5)(2x+7)(3-x)^2(x-7)(x+2)^2, and label all intercepts
ty
1 solutions
Answer 40025 by Nate(3500) on 2006-10-27 08:36:09 (Show Source):
You can put this solution on YOUR website!y-intercept
y = (x - 5)(2x + 7)(3 - x)^2(x - 7)(x + 2)^2
y = (0 - 5)(2*0 + 7)(3 - 0)^2(0 - 7)(0 + 2)^2
y = (5)(7)(3)^2(7)(2)^2 = 35*9*7*4 = 8820
(0,8820)
x-intercepts
y = (x - 5)(2x + 7)(3 - x)^2(x - 7)(x + 2)^2
0 = (x - 5)(2x + 7)(3 - x)^2(x - 7)(x + 2)^2
x - 5 = 0
2x + 7 = 0
3 - x = 0
x - 7 = 0
x + 2 = 0
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
x = 5
x = -7/2
x = 3
x = 7
x = -2
(5,0), (-7/2,0), (3,0), (7,0), (-2,0)
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Rational-functions/58393: A Go-ped traveled 9 miles in 24 minutes.
How long would it take to go 27 miles?
A.) 1 hour, 6 minutes
B.) 1 hour, 12 minutes
C.) 1 hour, 26 minutes
D.) 1 hour
1 solutions
Answer 40008 by Nate(3500) on 2006-10-26 21:31:55 (Show Source):
You can put this solution on YOUR website!Distance = Rate * Time
Rate = Distance / Time
Rate = 9 / 24 = 3 / 8
Distance = Rate * Time
Time = Distance / Rate
Time = 27 / (3 / 8) = 27(8 / 3) = 9 * 8 = 72 minutes
1 hour and 12 minutes
B.)
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Expressions-with-variables/58382: I cannot solve x^4-5x^2-8=0
My professor told me to substitute y for x but I still cannot fathom what is going on. I have tried for the past several hours please help.
1 solutions
Answer 40002 by Nate(3500) on 2006-10-26 21:23:25 (Show Source):
You can put this solution on YOUR website!Depending on your math status, I could lead you onto what your professor was indicating.
y = x^2
leads to ~>
(x^2)^2 - 5(x^2) - 8 = 0
(y)^2 - 5(y) - 8 = 0
y^2 - 5y - 8 = 0
Now, we have the partial answer. Since the original equation supported  , we must have the variable equal something to develop the answer.
About:
x = 2.5050
x = -2.5050
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Geometry_proofs/58347: Directions: Set up and complete a proof of the statement.
If a triangle is isosceles, the triangle formed by its base and the angle bisectors of its base angles is also isosceles.
1 solutions
Answer 39955 by Nate(3500) on 2006-10-26 18:35:17 (Show Source):
You can put this solution on YOUR website!Define:
Big Triangle: ABC where A is the top part, B is the bottom left, and C is the bottom right
Small Triangle: Top part is labled D
1. AB = AC; < ABC = < ACB ........ 1. given
2. 2 * < DBC = < ABC and 2 * < DCB = < ACB ..... 2. definition of angle bisector
3. 2 * < DBC = < ABC and 2 * < DCB = < ABC ..... 3. substitution
4. 2 * < DBC = 2 * < DCB ................. 4. transitive property
5. < DBC = < DCB ................... 5. division
6. DB = DC ....................... 6. opposite segements of congruent angles are congruent
7. triangle DBC is isoceles ...... 7. definition of isoceles triangles
I am sorry if it is quite long; I just like to make things clear.
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Miscellaneous_Word_Problems/58158: A metallurgist has one alloy containing 20% copper and another containing 70% copper. How many pounds of alloy must he use to make 50 pounds of the a third alloy containing 50% copper?
Thank you for taking the time to help!
1 solutions
Answer 39943 by Nate(3500) on 2006-10-26 17:18:36 (Show Source):
You can put this solution on YOUR website!x = amount of 20% copper
y = amount of 70% copper
*Remember: x = 50 - y
(0.2x + 0.7y)/50 = 0.5
0.2x + 0.7y = 25
0.2(50 - y) + 0.7y = 25
10 - 0.2y + 0.7y = 25
0.5y = 15
y = 30
x = 50 - y = 50 - 30 = 20
30 pounds of 70% copper
20 pounds of 20% copper
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Money_Word_Problems/58319: Michael's Coffee Shop sells a special blend called Mike's Favorite. For the blend, Michael mixes Hazelnut Coffee, which sells for $7.50 per pound, with Cinnamon Coffee, which sells for $6.75 per pound. How much of each flavor must he use to create 10 pounds of Mike's Favorite blend if he sells it for $7.00?
1 solutions
Answer 39942 by Nate(3500) on 2006-10-26 17:12:43 (Show Source):
You can put this solution on YOUR website!h = the amount of pounds of hazelnut coffee
c = the amount of pounds of cinnamon coffee
*Remember: c = 10 - h
(7.5h + 6.75c)/10 = 7
7.5h + 6.75c = 70
7.5h + 6.75(10 - h) = 70
7.5h + 67.5 - 6.75h = 70
0.75h = 2.5
h = 3 1/3
c = 10 - h = 10 - 3 1/3 = 6 2/3
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Geometry_proofs/58317: Prove that the diagonals of a parallelogram bisect each other.
1 solutions
Answer 39941 by Nate(3500) on 2006-10-26 17:08:17 (Show Source):
You can put this solution on YOUR website!Just graph a square on a cartesian coordinate plain.
P(1,1), N(-1,1), S(-1,-1), and M(1,-1)
The points that make the diagonals: (-1,1) and (1,-1) <~> (1,1) and (-1,-1)
Slope of (-1,1) and (1,-1)
m = (-1 - 1)/(1 + 1) = -2/2 = -1
Slope of (1,1) and (-1,-1)
m = (1 + 1)/(1 + 1) = 2/2 = 1
The slope of one is the inverse of it's negative counterpart. The lines are perpendicular. Now, you may have to put that in a proof; I do not if your school wants you to do so.
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Geometry_Word_Problems/58324: The base of a ladder is 3 feet away from the wall. The top of the ladder is 14 feet from the floor. Find the length of the ladder to the nearest thousandth.
Thanks~
ac
1 solutions
Answer 39939 by Nate(3500) on 2006-10-26 17:02:26 (Show Source):
You can put this solution on YOUR website!............................./..|.....
............................/...|.....
.........................../....|.....
.....................c../......|.14ft
......................../.......|.....
....................../.........|.....
..................../...........|.....
................../_3ft__|.....
~~~~~~~~~~~~~~~~
a^2 + b^2 = c^2
14^2 + 3^2 = c^2
196 + 9 = c^2
205 = c^2
sqrt(205) = c = about 14.318ft
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Radicals/58325: It says simplify:
5\/(radical sign)252
Did I do this right?
5\/7*36= 5*\/7*\/36=5*49*6
1 solutions
Answer 39937 by Nate(3500) on 2006-10-26 16:54:11 (Show Source):
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Radicals/58327: It says to simplify:
9\/(radical sign)2-\/8
Is this correct?
I got:
9\/2-\/4*2=9\/2-2\/2
7\/2
I appreciate your imput!
Thank you
CH
1 solutions
Answer 39935 by Nate(3500) on 2006-10-26 16:51:19 (Show Source):
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Linear-equations/58329: Finding the slope and y-intercept for each line that has a slope and y-intercept. The problem is x+2y=3
1 solutions
Answer 39933 by Nate(3500) on 2006-10-26 16:50:11 (Show Source):
You can put this solution on YOUR website!Put the equation in slope intercept form for easy access to information.
x + 2y = 3
2y = -x + 3
y = -x/2 + 3/2
slope-intercept form: y = mx + b where m is the slope and b is the y-intercept
-1/2 = slope
3/2 = y-intercept
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Linear_Algebra/58328: A shoe mfg. makes outdoor and indoor soccer shoes. There is a two- step manufactoring processes for both kinds of shoes. Each pair of outdoor shoes require 2 hours of processing in step one, 1 hour in tep two, and produces a profit of $20 for the company. Indoor shoes require 1 hour of processing step one, 3 hour in step two and produces a profit of $15 for each pair. The company has 40 hours of labor per day avaiable for step one and 60 hours of labor per day available for step two. How many pairs of each type of shoe can be produced per day to maximize profit.
1 solutions
Answer 39930 by Nate(3500) on 2006-10-26 16:47:24 (Show Source):
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Equations/57671: by what number must you multiply each side of the equation to produce the equivalent equation x+25?
2/5 x=10
a. 1/5
b. 5/2
c. 4
d. 5
1 solutions
Answer 39383 by Nate(3500) on 2006-10-23 15:31:59 (Show Source):
You can put this solution on YOUR website!2x/5 = 10 is 2x/5 - 10 = 0
What times -10 gives us 25?
-10x = 25
x = -5/2
Answer: None of the above; I think you typed something wrong.
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Graphs/57461: This question is from textbook Beginning Algebra
Can someone help me on this problem?
I need to graph the following iequality:
4x + y > 4
- (there is a line under the >)
I have to send this through the computer and not on paper.
Can someone help me on this?
I would appreciate it allot.
Thanks, Sher
1 solutions
Answer 39225 by Nate(3500) on 2006-10-22 11:31:08 (Show Source):
You can put this solution on YOUR website!If you have anymore questions like these, you could just do this: >= meaning it is greater than or equal to .... we know the difference.
4x + y >= 4
y >= -4x + 4 solid line with shading above
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Graphs/57462: This question is from textbook Beginning Algebra
Can someone help me on this problem?
I need to graph the following inequality:
3x - 4y < 12
I have to send this through the computer and not on paper. Can someone show me how it looks and worked out?
Thanks, I would appreciate it.
Sher
1 solutions
Answer 39224 by Nate(3500) on 2006-10-22 11:29:13 (Show Source):
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Systems-of-equations/57470: Hi! I need some help factoring this problem out and then simplyfying my answer.
x^2+2x-15
---------
x^2-9
-------
x^2+6x+5
---------
x^2+4x+3
1 solutions
Answer 39222 by Nate(3500) on 2006-10-22 11:25:41 (Show Source):
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Functions/57465: This question is from textbook Beginning Algebra
Can someone help me on this problem?
I need to rewrite the following equation as a function of x.
-3x + 4y = 11
Thank you,
Ashley
1 solutions
Answer 39221 by Nate(3500) on 2006-10-22 11:21:36 (Show Source):
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Functions/57469: This question is from textbook Beginning Algebra
Can someone help me on this problem?
If the inventor charges $4 per unit, then her profit for producing and selling x units is given by the function:
P(x) = 2.25x - 7000
(a) What is her profit if she sells 2000 units?
(b) What is her profit if she sells 5000 units?
(c) What is the break-even point for sales?
Thanks,
Ashley
1 solutions
Answer 39219 by Nate(3500) on 2006-10-22 11:18:35 (Show Source):
You can put this solution on YOUR website!(a) What is her profit if she sells 2000 units?
P(x) = 2.25x - 7000
P(x) = 2.25(2000) - 7000 = -2500
She loses $2,500 (tough break)
(b) What is her profit if she sells 5000 units?
P(x) = 2.25x - 7000
P(x) = 2.25(5000) - 7000 = 4250
She makes a profit of $4,250
(c) What is the break-even point for sales?
P(x) = 2.25x - 7000
0 = 2.25x - 7000
7000 = 2.25x
7000/2.25 = 3111 1/9
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