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checkley77 answered: 12560 problems
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Graphs/247492: find the slope of the line 2x-5y= -25
1 solutions

Answer 180534 by checkley77(12569) About Me  on 2009-12-08 20:04:36 (Show Source):
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Y=mX+b
m=slope & b= the Y intercept.
2x-5y= -25
-5y=-2x-25
y=-2x/-5-25/-5
y=2x/5+5
Slope=2/5
+graph%28+300%2C+200%2C+-16%2C+5%2C+-10%2C+10%2C+2x%2F5+%2B5%29+ (graph 300x200 pixels, x from -16 to 5, y from -10 to 10, 2x/5 +5).


Graphs/247493: y= 5 over 2x
1 solutions

Answer 180531 by checkley77(12569) About Me  on 2009-12-08 19:59:30 (Show Source):
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y= 5/2x
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+5x%2F2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 5x/2).


Miscellaneous_Word_Problems/247484: The sum of two numbers is twentyone. three times the smaller is two less than twice the larger number. find the two numbers
1 solutions

Answer 180530 by checkley77(12569) About Me  on 2009-12-08 19:55:57 (Show Source):
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x+y=21 or x=21-y
3x=2y-2 substitute (21-y) for x in this equation & solve for y.
3(21-y)=2y-2
63-3y=2y-2
-3y-2y=-2-63
-5y=-65
y=-65/-5
y=13 ans.
x+13=21
x=21-13
x=8 ans.
Proof:
3*8=2*13-2
24=26-2
24=24


decimal-numbers/247457: What is 12,903,899 rounded to the nearest ten thousand?
1 solutions

Answer 180529 by checkley77(12569) About Me  on 2009-12-08 19:49:27 (Show Source):
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12,903,899
12,900,000 rounded to the 10 thousand position.


Linear_Equations_And_Systems_Word_Problems/247474: Maggie timed how long it took her to finish a jigsaw puzzle. The first time she finished in 12 minutes. She was able to finish the puzzle twice as fast the second time and three times as fast the third time. How long did it take her to finish the puzzle the second and third times?
1 solutions

Answer 180528 by checkley77(12569) About Me  on 2009-12-08 19:44:02 (Show Source):
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12/2=6 MIN. FOR THE SECOND PUZZLE.
12/3=4 MIN. FOR THR THIRD PUZZLE.


Equations/247469: 1/2+(2/3*3/4)-(4/5x5/6)=
1 solutions

Answer 180527 by checkley77(12569) About Me  on 2009-12-08 19:40:37 (Show Source):
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1/2+(2/3*3/4)-(4/5x5/6)
1/2+6/12-20/30
1/2+1/2-2/3
1-2/3=1/3 ANS.


Miscellaneous_Word_Problems/247470: An electronics store uses a mark up rate of 58%. find the selling price of the camcorder that costs the storre owner $358
1 solutions

Answer 180526 by checkley77(12569) About Me  on 2009-12-08 19:34:57 (Show Source):
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TO GET A MARK-UP OF 58% YOU NEED TO MILTIPLY THE BASE PRICE BY 1 PLUS .58.
OR YOU CAN MULTIPLY THE BASE PRICE BY .58 & THEN ADD THE BASE PRICE.
THE RESULT SHOULD BE THE SAME.
358*(1+.58)
*****358
****1.58
----------------
****2864
***1790
***358
-----------------
**565.64
$565.64 IS THE SELLING PRICE.


Polynomials-and-rational-expressions/247448: (5x-5)(6x+3)=0
solve
1 solutions

Answer 180524 by checkley77(12569) About Me  on 2009-12-08 19:32:10 (Show Source):
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(5x-5)(6x+3)=0
5X-5=0
5X=5
X=5/5
X=1 ANS.
6X+3=0
6X=-3
X=-3/6
X=-1/2 ANS.


Equations/247449: i need to find the value of "y" in the equation 6y+2=2y*y-6. i forgot how to remove the y*y (y squared)and solve.
1 solutions

Answer 180523 by checkley77(12569) About Me  on 2009-12-08 19:29:57 (Show Source):
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6y+2=2y*y-6.
6Y+2=2Y^2-6
Y^2-6Y-6-2=0
Y^2-6Y-8=0
Y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
Y=(6+-SQRT[-6^2-4*1*-8])/2*1
Y=(6+-SQRT[36+32])/2
Y=(6+-SQRT68)/2
Y=(6+-8.246)/2
Y=(6+8.246)/2
Y=14.246/2
Y=7.123 ANS.
Y=(6-8.246)/2
Y=-2.246/2
Y=-1.123 ANS.


Travel_Word_Problems/247451: If two cars are going one hundred mph towards each other, and they were one milea apart, how long would it take them to crash?

1 solutions

Answer 180521 by checkley77(12569) About Me  on 2009-12-08 19:22:00 (Show Source):
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D=RT
.5=100T
T=.5/100
T=.005 HOURS OR .3 MINUTES OR 18 SECONDS.


Reduction-of-unit-multipliers/247452: 50 millimeters is how many meters?

1 solutions

Answer 180519 by checkley77(12569) About Me  on 2009-12-08 19:17:47 (Show Source):
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50 millimeters is how many meters?
1 ml-.001 meters.
1/50=.001/50
x=.001*50
x=.05 or 50 ml=.05 meters.


Exponents-negative-and-fractional/247366: b^12-w^2 I have to factor the polynomial completely but if it cannont be factored than it's prime. I think it can be factors but I am not sure how to do it when the exponents are this large.
Thanks for you help:)
1 solutions

Answer 180517 by checkley77(12569) About Me  on 2009-12-08 19:09:21 (Show Source):
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b^12-w^2
(b^6+w)(b^6-w) ans.
Proof:
b^6+w
b^6-w multiply
----------------
b^12+b^6w-b^6w+w^2
b^12+w^2


Average/247367: if a sale price of car is 12950, with 20% dicount of original price. what would be original price of car
1 solutions

Answer 180514 by checkley77(12569) About Me  on 2009-12-08 19:05:13 (Show Source):
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x-.2x=12,950
.8x=12,950
x=12.950/.8
x=$16,187.50 was the original price.


Exponents/247369: 3x-6>-18 and 2x<-10
1 solutions

Answer 180513 by checkley77(12569) About Me  on 2009-12-08 19:02:25 (Show Source):
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3x-6>-18
3x>-18+6
3x>-12
x>-12/3
x>-4
Proof:
Let x=-3.9
3*-3.9-6>-18
-11.7-6>-18
-17.7>-18
--------------------
2x<-10
x<-10/2
x<-5 ans.
Proof:
Let x=-5.1
2*-5.1<-10
-10.2<-10


Reduction-of-unit-multipliers/247373: Write a perfect square trinomial that has a term of -16x
1 solutions

Answer 180506 by checkley77(12569) About Me  on 2009-12-08 18:44:07 (Show Source):
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x^2-16x+64=(x-8)^2


Quadratic_Equations/247379: Solve the equation using the quadratic formula.
4x^2 - 23x - 6 = 0
1 solutions

Answer 180504 by checkley77(12569) About Me  on 2009-12-08 18:40:23 (Show Source):
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4x^2 - 23x - 6 = 0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x=(23+-sqrt[-23^2-4*4*-6])/2*4
x=(23+-sqrt[529+96])/8
x=(23+-sqrt625)/8
x=(23+-25)/8
x=(23+25)/8
x=48/8
x=6 ans.
x=(23-25)/8
x=-2/8
x=-1/4 ans.


percentage/247391: How do you turn percentages into parts on a circle or pie graph.
1 solutions

Answer 180501 by checkley77(12569) About Me  on 2009-12-08 18:34:05 (Show Source):
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100%=360 degrees.
50% of 360=180 degrees or 1/2 of the pie.
25% of 360=90 degrees or 1/4 of the pie.
40% of 360=144 degrees or 2/5 of the pie.
75% of 360=270 degrees or 3/4 of the pie.
10% of 360=36 degrees or 1/10 of a pie.


Quadratic_Equations/247404: solving quadratic eaquations by factoring
n-4=n^2-6
1 solutions

Answer 180497 by checkley77(12569) About Me  on 2009-12-08 18:26:59 (Show Source):
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n-4=n^2-6
n-4-n^2+6=0
-n^2+n+2=0
n^2-n-2=0
(n-2)(n+1)=0
n-2=0
n=2 ans.
n+1=0
n=-1 ans.


Quadratic_Equations/247383: Determine whether the equation has two distinct real number solutions, one real numbers solution, or no real number solution.
3x^2 + x + 6 = 0
1 solutions

Answer 180494 by checkley77(12569) About Me  on 2009-12-08 18:23:28 (Show Source):
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3x^2 + x + 6 = 0
Using determinates we get:
b^2-4ac
1^2-4*3*6
1-72=-71 This equation has 2 imaginary number solutions.


Linear-equations/247386: Using the discriminant, determine the number of x-intercepts the graph of the equation will have. Do not graph the equation.
y = x^2 - 4x + 3
1 solutions

Answer 180488 by checkley77(12569) About Me  on 2009-12-08 18:14:44 (Show Source):
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y = x^2 - 4x + 3
[b^2-4ac] is the determinate of a quadratic equation.
-4^2-4*1*3
16-12=4
4>0 therefore there are 2 real number solutions & they are rational numbers because 4 is a perfect square.


Graphs/247388: how do i solve y=1/2x-2?

1 solutions

Answer 180481 by checkley77(12569) About Me  on 2009-12-08 18:01:41 (Show Source):
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y=1/2x-2
Slope=1/2 & y intercept=-2
Set y=0 & solve for the x intercept.
0=x/2-2
x/2=2
x=2*2
x=4 ans. (4,0)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x%2F2+-2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x/2 -2).


Quadratic_Equations/247384: Determine whether the equation has two distinct real number solutions, one real numbers solution, or no real number solution.
x^2 - 8x + 16 = 0
1 solutions

Answer 180476 by checkley77(12569) About Me  on 2009-12-08 17:57:32 (Show Source):
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x^2 - 8x + 16 = 0
(x-4)^2=0
x-4=0
x=4 ans.
One real number solution.


test/247375: Find the slope,if it exists, of the line containing the pair of points, (-10,-6) and (-16,-18)
1 solutions

Answer 180474 by checkley77(12569) About Me  on 2009-12-08 17:54:57 (Show Source):
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(-10,-6) and (-16,-18)
Slope=(-18+6)/(-16+10)=-12/-6=2 ans.
-6=2*-10+b
-6=-20+b
b=-6+20
b=14 ans. for the y intercept.
y=2x+14
+graph%28+300%2C+200%2C+-20%2C+5%2C+-20%2C+15%2C+2x+%2B14%29+ (graph 300x200 pixels, x from -20 to 5, y from -20 to 15, 2x +14).


Linear-equations/247335: Find an equation of the line that has a y-intercept of 2 that is parallel to the graph of the line 4x + 2y = 8
1 solutions

Answer 180472 by checkley77(12569) About Me  on 2009-12-08 17:47:33 (Show Source):
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4x + 2y = 8
2y=-4x+8
y=-4x/2+8/2
y=-2x+4 (red line)
A parallel line will also have a slope=-2 & with a y intercept =2 the equation is:
y=-2x+2 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-2x+%2B4+%2C-2x+%2B2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10,of TWO functions -2x +4 and -2x +2).


Quadratic_Equations/247359: Find the y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex. f(x)=-2x^2
1 solutions

Answer 180469 by checkley77(12569) About Me  on 2009-12-08 17:34:05 (Show Source):
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f(x)=-2x^2
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-2x%5E2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -2x^2).
Y intercept (0,0)
Axis of symmetry X=0
X intercept (0,0)


Square-cubic-other-roots/247361: What is the square root of 180 written in simplest radical form?
1 solutions

Answer 180467 by checkley77(12569) About Me  on 2009-12-08 17:29:12 (Show Source):
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SQRT180=SQRT(36*5)=6SQRT5 ANS.


Travel_Word_Problems/247363: If you drive 3 and half hours at 40 mph how many miles have you driven
1 solutions

Answer 180465 by checkley77(12569) About Me  on 2009-12-08 17:27:25 (Show Source):
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3.5*40=140 MILES.


Graphs/247350: What are the x and y intericepts for 2y-x=4
1 solutions

Answer 180464 by checkley77(12569) About Me  on 2009-12-08 17:24:06 (Show Source):
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2y-x=4
2Y=X+4
Y=X/2+4/2
Y=X/2+2
LET X=0 & SOLVE FOR Y.
Y=0/2+2
Y=2 ANS. (0,2)
LET Y=0 & SOLVE FOR X.
0=X/2+2
X/2=-2
X=-2*2
x=-4 (-4,0)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x%2F2+%2B2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x/2 +2).


Mixture_Word_Problems/247351: the length of a rectangle is 4 less than 3 times the width. The area is 160 square inches. Find the permeter (so first, find the width and length)
1 solutions

Answer 180462 by checkley77(12569) About Me  on 2009-12-08 17:19:29 (Show Source):
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L=3W-4
LW=160
(3W-4)W=160
3W^2-4W-160=0
(3W+20)(W-8)=0
W-8=0
W=8 ANS. FOR THE WIDTH.
L=3*8-4
L=24-4
L=20 ANS. FOR THE LENGTH.
PROOF:
8*20=160
160=160


Graphs/247358: how do i graph y=x%5E2%2B8x%2B7
1 solutions

Answer 180460 by checkley77(12569) About Me  on 2009-12-08 17:12:56 (Show Source):
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y=x^2+8x+7
y=(x+7)(x+1)
Set y=0 & solve for x.
x+7=0
x=-7 (-7,0)
x+1=0
x=-1 (-1,0)
set x=0 & solve for y.
y=7 (0,7)
+graph%28+300%2C+200%2C+-10%2C+5%2C+-10%2C+10%2C+x%5E2+%2B8x+%2B7%29+ (graph 300x200 pixels, x from -10 to 5, y from -10 to 10, x^2 +8x +7).


Graphs/247338: Graph y=2x-1
1 solutions

Answer 180458 by checkley77(12569) About Me  on 2009-12-08 17:07:20 (Show Source):
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y=2x-1
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x+-1%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x -1).