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Linear-equations/96668: x^2+6x+10=2x+2x^2
1 solutions

Answer 70500 by checkley71(8403) About Me  on 2007-09-08 16:17:54 (Show Source):
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X^2+6X+10=2X+2X^2
X^2-2X^2+6X-2X+10=0
-X^2+4X+10=0
X^2-4X-10=0
USING THE QUADRATIC EQUATION x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ WE GET:
X=(4+-SQRT[-4^2-4*1*-10])/2*1
X=(4+-SQRT[16+40])/2
X=(4+SQRT56)/2
X=(4+-7.48)/2
X=(4+7.48)/2
X=11.48/2
X=5.74 ANSWER.
X=(4-7.48)/2
X=-3.48/2
X=1.74 ANSWER.


Exponential-and-logarithmic-functions/96800: Graphs of Exponential and Logarithmic Functions

Plot the graphs of the following functions.
f(x)=6x
f(x)=3x - 2
f(x)=(1/2)x
f(x)= log2x

1 solutions

Answer 70499 by checkley71(8403) About Me  on 2007-09-08 16:09:01 (Show Source):
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y=6x (red line)
y=3x-2 (green line
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+6x%2C+y+=3x+-2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 6x and y = 3x -2 ).
y=x/2 (red line)
y=log2x (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+x%2F2%2C+y+=+log2x%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x/2 and y = log2x).
NOTE: IT APPEARS THIS GRAPHING SYSTEM CAN'T HANDLE LOGS.


Length-and-distance/96739: 1086 cm² / 19 mm² =
1 solutions

Answer 70498 by checkley71(8403) About Me  on 2007-09-08 15:59:42 (Show Source):
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1086cm^2/19mm^2
1086cm^2/19m^3
1086c/19m


decimal-numbers/96860: (1.) Use rounding to estimate the product. 110.5 x 10.2


(2.) Use front-end estimation to estimate the sum. 5.312 + 3.726
thank you.

1 solutions

Answer 70496 by checkley71(8403) About Me  on 2007-09-08 15:42:32 (Show Source):
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111*10=1110
5+4=9


Average/96871: I need an answer to this please:
Generate ordered pairs for y=x-4 using x= 2,3,4,5 and 6
graph the ordered pairs and describe the pattern.
the graph shows:
input output ordered pairs
x y (x,y)
1 solutions

Answer 70495 by checkley71(8403) About Me  on 2007-09-08 15:40:17 (Show Source):
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y=x-4
y=2-4=-2
y=3-4=-1
y=4-4=0
y=5-4=1
y=6-4=2
--------------------
x-----y----(x,y)
2----(-2)--(2,-2)
3----(-1)--(3,-1)
4-----0----(4,0)
5-----1----(5,1)
6-----2----(6,2)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+x+-4%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x -4).


Volume/96747: Volume of a cube is s^3. Find the length of a side of a cube if the volume is 500 cm^3. Round answer to three decimal places.
1 solutions

Answer 70429 by checkley71(8403) About Me  on 2007-09-07 21:06:48 (Show Source):
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s^3=500
s=cubert500
s=7.937


Radicals/96815: evaluate if possible
the radical expression
3/(-8/27)

1 solutions

Answer 70427 by checkley71(8403) About Me  on 2007-09-07 21:00:10 (Show Source):
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3/(-8/27) to solve this fraction in the denominator you need to invert the denominator & then multiply it by the numerator.
3*(-27/8)=-81/8 answer.


Rational-functions/96773: i don't know how to graph f(x)= x-1/x^3-4x
1 solutions

Answer 70425 by checkley71(8403) About Me  on 2007-09-07 20:57:09 (Show Source):
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f(x)=x-1/x^3-4x
f(x)=-1/x^3-3x
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-1%2Fx%5E3+-3x%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -1/x^3 -3x).


Geometry_Word_Problems/96806: A farmer has 26 meters of fencing available to enclose a rectangular region. he wants the rectangular garden to have an area o 40 square meters. find the dimension of the garden.
1 solutions

Answer 70424 by checkley71(8403) About Me  on 2007-09-07 20:51:48 (Show Source):
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xy=40 or x=40/y
2x+2y=26
2(40/y)+2y=26
80/y+2y=26
(80+2y^2)/y=26 cross multiply
80+2y^2=26y
2y^2-26y+80=0
y^2-13y+40=0
(y-8)(y-5)=0
y-8=0
y=8 answer. x=5
y-5=0
y=5 answer. x=8
proof
2*8+2*5=26
10+16=26
26=26


Travel_Word_Problems/96803: A man drives 600 miles to a convention. on the return trip he increases his speed by 10 mph and saves 2 hours driving time. how fast did he drive going to and from the convention?
Not from a textbook..a handed out assignment.
1 solutions

Answer 70423 by checkley71(8403) About Me  on 2007-09-07 20:46:11 (Show Source):
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(600/x)-2=600/(x+10)
(600-2x)/x=600/(x+10) cross multiply
(600-2x)(x+10)=600x
600x-2x^2-20x+6000=600x
2x^2+20x-6000=0
x^2+10x-3000=0
(x+60)(x-50)=0
x-50=0
x=50 for the speed going to the convention
50+10=60 return trip speed.
proof
(600/50)-2=600/60
12-2=10
10=10


Miscellaneous_Word_Problems/96684: What digit could be in the tens millions place of a number that is greater than 25,000,000 but less than 73,000,000?
1 solutions

Answer 70369 by checkley71(8403) About Me  on 2007-09-07 11:11:03 (Show Source):
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THE DIGIT CAN BE 3,4,5 OR 6.
35,000,000<73,000,000
65,000,000<73,000,000


Polynomials-and-rational-expressions/96725: Subtract. Write in simplest form.
5/y-5 - 1/y+1
1 solutions

Answer 70366 by checkley71(8403) About Me  on 2007-09-07 10:43:07 (Show Source):
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5/y-5-1/y+1
4/y-4
(4-4y)/y
4(1-y)/y


Circles/96731: Ri rides his bicycle to school every day.The diameter of his bicycle wheel is 70 cm when pumped full air.
a)What is the circumference of his bicycle when the wheel is pumped?
b) When the tire on rick's bicycle is flat, the diameter is only 60cm. What is the circumference?
c) Estimate how long the spokes are on rick's bicycle?
1 solutions

Answer 70365 by checkley71(8403) About Me  on 2007-09-07 10:40:22 (Show Source):
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A) P=pid
P=3.14*70
P=219.8 cm fully inflated.
------------------------------
B) P=3.14*60
P=188.4 cm when deflated.
--------------------------------
C) radius=diameter/2
radius=60/2
radius=30


Polynomials-and-rational-expressions/96732: Rational Expression:
-2/x = 3/x+2
1 solutions

Answer 70364 by checkley71(8403) About Me  on 2007-09-07 10:35:47 (Show Source):
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-2/x=3/x+2
-2x-3/x=2
-5/x=2 cross multiply
2x=-5
x=-5/2
x=-2.5 answer.


Polynomials-and-rational-expressions/96724: Solve using quadratic formula.
5x^2-x+3=0
1 solutions

Answer 70363 by checkley71(8403) About Me  on 2007-09-07 10:33:05 (Show Source):
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5x^2-x+3=0
x+=+%28-b+%2B-+sqrt%28b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x=(1+-sqrt[-1^2-4*5*3])/2*5
x=(1+-sqrt[1-60])/10
x=(1+-sqrt-59)/10
x=(1+-7.68i)/10
x=1/10+7.68i/10
x=.1+.768i answer.
x=(1-7.68i)/10
x=.1-.768i answer.


Polynomials-and-rational-expressions/96733: Rational Expression:
x^2 - 4/4 divided by 4x - 8/x
1 solutions

Answer 70360 by checkley71(8403) About Me  on 2007-09-07 10:27:50 (Show Source):
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x^2-4/4=x^2-1=(x+1)(x-1)
(4x-8/x)=(4x*x-8)/x=4x^2-8)/x=4(x^2-2)/x
(x+1)(x-1)/[4(x^2-2)/x]
No additional factoring possible.


Volume/96734: 15 km² - 52 ha =
47 m² - 3207 cm² =
1086 cm² / 19 mm² =
1 solutions

Answer 70359 by checkley71(8403) About Me  on 2007-09-07 10:19:49 (Show Source):
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15km^2-52ha no factoring.
47m^2-3207cm^2=m^2(47-3207c)
1086cm^2/19mm^2=1086c/19m


Polynomials-and-rational-expressions/96728: Divide.
72^3-16x^2/-8x
1 solutions

Answer 70358 by checkley71(8403) About Me  on 2007-09-07 10:15:18 (Show Source):
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(72^3-16x^2)/-8x
8x(9x^2-2x)/-8x cancel out the 8x we get:
-9x^2+2x or
x(-9x+2)


Square-cubic-other-roots/96729: Evaluate if possible.
the square root of -4
1 solutions

Answer 70357 by checkley71(8403) About Me  on 2007-09-07 10:00:26 (Show Source):
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sqrt(-4)=2i (i=sqrt-1)


Polynomials-and-rational-expressions/96727: Write in simplest form.
x^2-8x+16/x-4
1 solutions

Answer 70356 by checkley71(8403) About Me  on 2007-09-07 09:58:52 (Show Source):
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x^2-8x+16/(x-4)
(x-4)(x-4)/(x-4) now cancel out the common term (x-4).
x-4 answer.


Complex_Numbers/96685: This question is from textbook glen coe
y=-3x+4
1 solutions

Answer 70355 by checkley71(8403) About Me  on 2007-09-07 09:56:19 (Show Source):
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y=x+4
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+x+%2B4+%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x +4).


Equations/96693: y=x^2-10x+2
1 solutions

Answer 70352 by checkley71(8403) About Me  on 2007-09-07 09:24:01 (Show Source):
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Y=X^2-10X+2
+graph%28+300%2C+200%2C+-6%2C+15%2C+-25%2C+10%2C+y+=+x%5E2+-10x+%2B2%29+ (graph 300x200 pixels, x from -6 to 15, y from -25 to 10, y = x^2 -10x +2).


expressions/96697: write an expressin for each quantity.
1. the value in cents of 5 quaters.
2. the value in cents of q quaters.
3. the number of months in 7 years.
4. the number of months in y years.
5. the number of gallons in 21 quarts.
6. the number of gallons in q quarts.
1 solutions

Answer 70351 by checkley71(8403) About Me  on 2007-09-07 09:14:19 (Show Source):
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CENTS=25*5=125
CENTS=25QUARTERS
MONTHS=7*12=84
MONTHS=12YEARS
GAL=21*4=84
GAL=4QUARTS


Circles/96712: If the diameter of a hut is 12m what is its radius?
1 solutions

Answer 70350 by checkley71(8403) About Me  on 2007-09-07 09:09:10 (Show Source):
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RADIUS=DIAMETER/2
RADIUS=12/2
RADIUS=6 ANSWER.


Rational-functions/96717: university of phoenix elementary and intermediate algebra rational expressions . solve each formula for the indicated variable
leon drove 270 miles to the lodge in the same time as pat drove 330 miles to the lodge. if pat drove 10 miles per hour faster than leon,how fast did each of them drive
1 solutions

Answer 70349 by checkley71(8403) About Me  on 2007-09-07 09:02:10 (Show Source):
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270/X=330/(X+10) NOW CROSS MULTIPLY
330X=270X+2700
330X-270X=2700
60X=2700
X=45 MPH IS THE SPEED OF LEON.
45+10=55 IS THE SPEED OF PAT.
PROOF
270/45=330/55
6=6


Exponents-negative-and-fractional/96719: 6+2(x-1)=3x/5+4. x=?
1 solutions

Answer 70348 by checkley71(8403) About Me  on 2007-09-07 08:58:17 (Show Source):
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6+2(X-1)=3X/5+4
6+2X-2=3X/5+4
2X-3X/5=4+2-6
(5*2X-3X)/5=0 NOW CROSS MULTIPLY
10X-3X=5*0
7X=O
X=0
PROOF
6+2(0-1)=3*0/5+4
6-2=0/5+4
4=4


Expressions-with-variables/96639: HOW DO YOU TRANSLATE THE VERBAL PHRASE INTO AN EXPRESSION OF "THE QUOTIENT OF TWICE A NUMBER t AND 12
1 solutions

Answer 70336 by checkley71(8403) About Me  on 2007-09-06 22:08:36 (Show Source):
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X/Y=(2T+12) QUOTIENT IS THE RESULT OF A DIVISION PROCESS.


expressions/96640: Can you please help me solve my problem?
{8*2-(3+9)]+[8-2*3]
1 solutions

Answer 70334 by checkley71(8403) About Me  on 2007-09-06 22:02:15 (Show Source):
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FIRST WE MULTIPLY ALL NUMBERS WITHIN THE ():
{8*2-(3+9)}+[8-2*3]
{16-(3+9)+[8-6]}
NOW WE ADD OR SUBTRACT THE NUMBERS WITHIN THE ()
{16-(12)+[2]} NOW WE ADD OR SUBTRACT THESE NUMBERS:
16-12+2=18-12=6 ANSWER.


Travel_Word_Problems/96658: when fritz drives to work his trip takes 40 minutes, but when he takes the train it takes 30 minutes. find the distance fritz travels to work if the train travels an average of 15 mph faster than his driving.
1 solutions

Answer 70333 by checkley71(8403) About Me  on 2007-09-06 21:55:27 (Show Source):
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D=RT
SEEING AS THE DISTANCES ARE EQUAL THEN
R(40/60)=(R+15)(30/60)
40R/60=(30R+450)/60 HERE WE CAN ELIMINATE THE DENOMINATORS THUS WE HAVE LEFT:
40R-30R=450
10R=450
R=450/10
R=45 MPH FOR THE DRIVE WHILE THE TRAIN'S RATE IS:
45+15=60 MPH FOR THE TRAIN.
PROOF
45(40/60)=60(30/60)
45*40=60*30
1800=1800




Systems-of-equations/96659: Multiply
(x +2)(x+1)(x-2)
1 solutions

Answer 70332 by checkley71(8403) About Me  on 2007-09-06 21:47:26 (Show Source):
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X+2
X+1
---------------------
X^2+2X+X+2
X^2+3X+2
X-2
--------------------------------
X^3+3X^2+2X-2X^2-6X-4
X^3+X^2-4X-4 ANSWER.


decimal-numbers/96661: 1.write the following meassurements in scientfic notation
a. 800 000 000m
b. 0.0015kg
c. 600 200L
d. 0.00095m
e 8 002 000km
f.0.000 000 000 06kg
1 solutions

Answer 70331 by checkley71(8403) About Me  on 2007-09-06 21:44:04 (Show Source):
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A) 800000000=8*10^8
B) .0015=1.5^10-3
C) 600200=6.002*10^5
D) .00095=9.5*10^-4
E) 8002000=8.002*10^6
F) .00000000006=6*10^-11