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Linear-equations/333987: determine the x- and y- intercepts (if any) of the given equation. SHOW WORK. Then plot the intercepts and graph
y=+1%2F5x+%2B+6
I do not understand how to get the intercepts, I do know how to plot it on a graph though so I think I only need help with the first half of the question.
Thank you
1 solutions

Answer 240242 by Fombitz(13828) About Me  on 2010-08-26 09:33:31 (Show Source):
You can put this solution on YOUR website!
To find the x-intercept, set y=0 and solve for x.
y=+1%2F5x+%2B+6
0=+1%2F%285x%29+%2B+6
1%2F%285x%29=-6
x=-1%2F30
(-1/30,0)
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.
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To find the y-intercept, set x=0 and solve for y.
y=+1%2F5x+%2B+6
y=+1%2F%285%280%29%29+%2B+6
Division by zero is undefined so there is no y-intercept.
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Rational-functions/333960: Write a quadatic equation having the given numbers as solutions, -8 and -1
The quadratic equeation is___?__ =0
1 solutions

Answer 240240 by Fombitz(13828) About Me  on 2010-08-26 09:20:36 (Show Source):


Miscellaneous_Word_Problems/335212: License Plate numbers In a certain state,each automobile license plate number consists of two letters followed by a four-digit number. How many distinct license plate numbers can be formed?
1 solutions

Answer 240239 by Fombitz(13828) About Me  on 2010-08-26 09:18:09 (Show Source):
You can put this solution on YOUR website!
There are 26 letters and 10 digits available.
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.
.
N=26%2A26%2A10%2A10%2A10%2A10=6760000


test/335095: A trip of 1080 kms. Part way in car the avged 60 km/hr remainder on train travelling 100 km/hr. Entire trip was 12 hour. What distance travelled in each mode?
1 solutions

Answer 240238 by Fombitz(13828) About Me  on 2010-08-26 09:17:05 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
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.
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60%2AT1=D1
100%2AT2=D2
1.D1%2BD2=1080
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T1%2BT2=12
D1%2F60%2BD2%2F100=12
2.5D1%2B3D2=3600
From eq. 1,
D1=1080-D2
Substitute into eq. 2,
5%281080-D2%29%2B3D2=360
5400-5D2%2B3D2=3600
-2D2=-1800
highlight%28D2=900%29km
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.
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D1%2B900=1080
highlight%28D1=180%29km


Graphs/335079: 3x-y=5
5x-2y=11
solve by substitution method
1 solutions

Answer 240237 by Fombitz(13828) About Me  on 2010-08-26 09:10:07 (Show Source):
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1.3x-y=5
2.5x-2y=11
From eq. 1,
y=3x-5
Substitute into eq. 2,
5x-2y=11
5x-2%283x-5%29=11
5x-6x%2B10=11
-x=1
highlight%28x=-1%29
Then from eq. 1,
y=3x-5
y=-3-5
highlight%28y=-8%29


Evaluation_Word_Problems/335081: A change purse contains 20 coins consisting of nickels and dimes and having a total value of $1.40. How many nickels are there?
1 solutions

Answer 240236 by Fombitz(13828) About Me  on 2010-08-26 09:07:17 (Show Source):
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Let N be the number of nickels, D the number of dimes.
1.N%2BD=20
2.5N%2B10D=140
From eq. 1,
D=20-N
Substitute into eq. 2,
5N%2B10%2820-N%29=140
5N%2B200-10N=140
-5N%2B200=140
-5N=-60
highlight%28N=12%29
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There are 12 nickels in the purse.


Polynomials-and-rational-expressions/335083: Find the least common multiple of the two expressions 6w^9x^8 and 10u^8w^4x^3
1 solutions

Answer 240235 by Fombitz(13828) About Me  on 2010-08-26 09:05:28 (Show Source):


Average/335092: the average of 3 numbers is 16. if one of the numbers is removed the avreage of the remaining 2 numbers is 15. which is greater: column A=10, column B=the number that was removed.. please help
1 solutions

Answer 240234 by Fombitz(13828) About Me  on 2010-08-26 09:04:15 (Show Source):
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Let the three numbers be A, B, and C
%28A%2BB%2BC%29%2F3=10
A%2BB%2BC=30
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Remove value C
%28A%2BB%29%2F2=15
A%2BB=30
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30%2BC=30
C=0
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Column A=10
Column B=0
Column A is greater than column B.


Numeric_Fractions/335087: how to simplify this expression 2[(8-4) to the power of 5 divided by 8
1 solutions

Answer 240233 by Fombitz(13828) About Me  on 2010-08-26 09:01:06 (Show Source):


Numbers_Word_Problems/335088: three times a first number is decreased by a second number is 1. the first number increased by twice the second number is 12. what are the numbers?
1 solutions

Answer 240232 by Fombitz(13828) About Me  on 2010-08-26 08:58:28 (Show Source):
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Let the first number be A, second number B.
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"three times a first number is decreased by a second number is 1"
1.3A-B=1
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"the first number increased by twice the second number is 12"
2.A%2B2B=12
From eq. 1,
3A-B=1
B=3A-1
Substitute into eq. 2 for B.
A%2B2B=12
A%2B2%283A-1%29=12
A%2B6A-2=12
7A=14
highlight%28A=2%29
Now go back and solve for B.
B=3A-1
B=3%282%29-1
B=6-1
highlight%28B=5%29


test/335089: I'm stuck: 60% of a number plus a number equals 192..... help!!
1 solutions

Answer 240231 by Fombitz(13828) About Me  on 2010-08-26 08:55:21 (Show Source):
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Percent means out of 100.
Let N be the number,
%2860%2F100%29N%2BN=192
0.6N%2BN=192
1.6N=192
N=192%2F1.6
Complete the calculation for the answer.


Quadratic_Equations/335091: ( ((((a)^2)^2)*4a^4) / ((3/2a))^8 ) + (-sqrt(-1))
1 solutions

Answer 240230 by Fombitz(13828) About Me  on 2010-08-26 08:53:50 (Show Source):


Triangles/335191: One side of a triangle is 1 in. longer than the shortest side and is 1 in. shorter than the longest side. The perimeter is 17 in. Find the measurement of each of the sides of the triangle.
1 solutions

Answer 240228 by Fombitz(13828) About Me  on 2010-08-26 08:48:11 (Show Source):
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Let A,B,C be the sides from shortest to longest.
B=A%2B1
A=B-1
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B=C-1
C=B%2B1
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A%2BB%2BC=17
Substitute the above values and solve for B.
%28B-1%29%2BB%2B%28B%2B1%29=17
3B=17
highlight%28+B=17%2F3%29
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A=17%2F3-3%2F3
highlight%28A=14%2F3%29
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C=17%2F3%2B3%2F3
highlight%28C=20%2F3%29


Miscellaneous_Word_Problems/335200: the perimeter of a rectangle is 184inches . The length exceeds the width by 70 inches. Find the length and the width
1 solutions

Answer 240227 by Fombitz(13828) About Me  on 2010-08-26 08:44:53 (Show Source):
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For a rectangle,
P=2L%2B2W=2%2A%28L%2BW%29=184
L%2BW=92
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.
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L=W%2B70
Substitute into the perimeter equation,
W%2B70%2BW=92
2W%2B70=92
2W=22
W=11
Now use that result to solve for L.


Numbers_Word_Problems/335184: the sum of 2 consecutive odd number is 36.find the product of these 2 number

1 solutions

Answer 240226 by Fombitz(13828) About Me  on 2010-08-26 08:43:18 (Show Source):


Expressions-with-variables/335185: 4n-12 when n=7.
1 solutions

Answer 240225 by Fombitz(13828) About Me  on 2010-08-26 08:41:48 (Show Source):
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4%287%29-12=28-12
Finish the calculation for the final answer.


Graphs/335178: graph the equation and id the y intercept ; x + 2y = 10 as far as I get is subtract the x from both sides, y=(-1/2x)+5 after that I don't know what steps are next.
1 solutions

Answer 240224 by Fombitz(13828) About Me  on 2010-08-26 08:40:33 (Show Source):
You can put this solution on YOUR website!
The easiest way to graph a line is to use the x and y intercepts since you only need two points to define a line.
To find the x-intercept, set y=0 and solve for x.
x+%2B+2y+=+10+
x%2B0=10
x=10
(10,0)
Plot that point.
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To find the y-intercept, set x=0 and solve for y.
x+%2B+2y+=+10++
0%2B2y=10
y=5
(0,5)
Plot that point.
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Now connect the points with a line that goes through both of them.
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Points-lines-and-rays/335179: How do i find a equation of a line, when the line segment is extended, the original points were (-2,5) , (4,-4) . does not say how long it has been extended. sorry D:
1 solutions

Answer 240223 by Fombitz(13828) About Me  on 2010-08-26 08:34:42 (Show Source):
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Find the slope using the two points.
m=%28y2-y1%29%2F%28x2-x1%29=%28-4-5%29%2F%284-%28-2%29%29=%28-9%29%2F%286%29=-3%2F2
Now us the point-slope form of a line with either point, y-yp=m%28x-xp%29
y-5=-%283%2F2%29%28x-%28-2%29%29
y-5=-%283%2F2%29%28x%2B2%29
y-5=-%283%2F2%29x-3
highlight%28y=-%283%2F2%29x%2B2%29
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Linear-equations/335174: write the equation of the line parallel to the line 4x-6y= -1 and contains the x-intercept of 3x-2y= 12
1 solutions

Answer 240222 by Fombitz(13828) About Me  on 2010-08-26 08:30:43 (Show Source):
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First, find the x intercept by setting y=0.
3x-2y=12
3x-0=12
x=4
(4,0)
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.
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A parallel line will have the same left hand side as 4x-6y=-1 and a different right hand side.
Use the x-intercept to find the new right hand side.
4%284%29-6%280%29=16
highlight%284x-6y=16%29


Linear-equations/335171: Given the distance between (x,1) and (-2,5). Find the value(s) of x. please leave it in simplest form
1 solutions

Answer 240221 by Fombitz(13828) About Me  on 2010-08-26 08:28:37 (Show Source):
You can put this solution on YOUR website!
Use the distance formula,
D%5E2=%28x1-x2%29%5E2%2B%28y1-y2%29%5E2
D%5E2=%28x-1%29%5E2%2B%28-2-5%29%5E2
D%5E2=%28x-1%29%5E2%2B%28-7%29%5E2
D%5E2=%28x-1%29%5E2%2B49
%28x-1%29%5E2=D%5E2-49
x-1=0+%2B-+sqrt%28D%5E2-49%29
highlight%28x=1+%2B-+sqrt%28D%5E2-49%29%29


Polynomials-and-rational-expressions/335134: Solve for x (rational equation)
there should be a line under each a+/- on top and ONE equal sign in middle.
4-a-10 = a^2-2
a+4 = a+4
1 solutions

Answer 240220 by Fombitz(13828) About Me  on 2010-08-26 08:25:35 (Show Source):
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Do you want to solve for x or for a?


Radicals/335125: Simplify the following radical eqution. (Square root sign)40.
1 solutions

Answer 240219 by Fombitz(13828) About Me  on 2010-08-26 08:24:21 (Show Source):


Human-and-algebraic-language/335187: A lamp is marked with a sale price of 23.80, which is 15% off the regular price. What is the regular price?
1 solutions

Answer 240218 by Fombitz(13828) About Me  on 2010-08-26 08:23:22 (Show Source):
You can put this solution on YOUR website!
P%281-15%2F100%29=23.80
P%280.85%29=23.80
P=28
The regular price is $28.


Exponents-negative-and-fractional/335204: Raising n^(-p/n) by which of the following will give the result n?
a) p^(-p/n)
b) n^(n/p)
c) p/n
d) -n/p
I don't understand the question, please help.
1 solutions

Answer 240217 by Fombitz(13828) About Me  on 2010-08-26 08:21:46 (Show Source):
You can put this solution on YOUR website!
Find Z so that raising that expression to the Z power will give a result of n.
%28n%5E%28-p%2Fn%29%29%5EZ=n
n%5E%28-%28pZ%2Fn%29%29=n
-%28pZ%29%2Fn=1
%28pZ%29%2Fn=-1
highlight%28Z=-n%2Fp%29


Linear-equations/335201: Find the midpoint of the following segment created by these pairs of endpoints:
(10,10),(2,2) Thanks
1 solutions

Answer 240216 by Fombitz(13828) About Me  on 2010-08-26 08:13:30 (Show Source):
You can put this solution on YOUR website!
Use the midpoint formula,
xm=%28x1%2Bx2%29%2F2=%2810%2B2%29%2F2
ym=%28y1%2By2%29%2F2=%2810%2B2%29%2F2


Linear-equations/335202: Find an equation of the line having the given slope and containing the given point.
m=6/7 (8,-5)
1 solutions

Answer 240215 by Fombitz(13828) About Me  on 2010-08-26 08:12:49 (Show Source):
You can put this solution on YOUR website!
Use the point-slope form of a line, y-yp=m%28x-xp%29
y-%28-5%29=%286%2F7%29%28x-8%29
y%2B5=%286%2F7%29x-48%2F7
y=%286%2F7%29x-48%2F7-35%2F7
highlight%28y=%286%2F7%29x-83%2F7%29
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Triangles/334864: the base of a triangle is 6cm more than the height. if the area of the triangle is 140 sq feet what is the base?
1 solutions

Answer 240020 by Fombitz(13828) About Me  on 2010-08-25 16:23:32 (Show Source):
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The area of a triangle is,
A=%281%2F2%29bh=%281%2F2%29%28h%2B6%29h=140
I'm assuming you meant 140 sq. cm. and not 140 sq. feet.
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h%5E2%2B6h=280
h%5E2%2B6h-280=0
%28h-14%29%28h%2B20%29=0
Only positive h results make sense here,
h-14=0
h=14cm
b=14%2B6
b=20cm


Travel_Word_Problems/334945: If a train travels for 4.5 hours at a rate of 40 mph, what is the distance the train will travel?
1 solutions

Answer 240018 by Fombitz(13828) About Me  on 2010-08-25 16:19:51 (Show Source):
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Rate*Time=Distance
.
.
.
R%2At=D
D=R%2At=40%284.5%29
Complete the calculation for the answer in miles.


Problems-with-consecutive-odd-even-integers/334954: for an inverse variation does the constant increase decrease or remain the same?
1 solutions

Answer 240015 by Fombitz(13828) About Me  on 2010-08-25 16:18:37 (Show Source):
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In any variation problem, the constant remains constant (neither increasing nor decreasing),hence the term constant.


absolute-value/334868: solve the absolute value equation. express solution in SET NOTATION
abs%283y%2B1%29=abs%282y-7%29
1 solutions

Answer 240013 by Fombitz(13828) About Me  on 2010-08-25 16:17:29 (Show Source):
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abs%283y%2B1%29=abs%282y-7%29
You need to solve two equations.
The positive solution: 3y%2B1=2y-7
and the negative solution: 3y%2B1=-%282y-7%29
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Positive solution:
y=-8
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Negative solution:
5y=6
y=6%2F5
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Graphical verification
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Quadratic_Equations/334931: 4x^3 is greater or less than 16x
1 solutions

Answer 240006 by Fombitz(13828) About Me  on 2010-08-25 16:03:32 (Show Source):
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Depends on the value of x.
If x=1,
4x%5E3=4
16x=16
16x%3E4x%5E3
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If x=-1
4x%5E3=-4
16x=-16
4x%5E3%3E16x