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checkley71 answered: 8399 problems
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Coordinate-system/108861: I really need some help with these two problems. I don't know where to get started or how to get the answer. I thank you so much for all your help!
1.Graph the following quadratic equation: f(x)= x^2 + 4x -5 and
2.Graph the following quadratic equation: f(x)= -2x^2 -8x -6
1 solutions

Answer 79391 by checkley71(8403) About Me  on 2007-11-08 18:19:26 (Show Source):
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LET Y=X^2+4X-5 (RED LINE)
LET Y=-2X^2-8X-6 (GREEN LINE)
NOW ASSIGN VALUES FOR X TO FIND THE Y VALUES AND PLOT THEM TO FORM THE CURVES/LINES.
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x^2 +4x -5 and y = -2x^2 -8x -6).
some red curve points are: (-5,0),(1,0)
some green curve points are: (-3,0),(-1,0),(-2,2)


Travel_Word_Problems/108864: AT 9:00 A.M. A TRUCK LEAVES THE TRUCK YARD AND
TRAVELS WEST AT A RATE OF 35 MI/HR.
TWO HOURS LATER, A SECOND TRUCK LEAVES ALONG THE SAME ROUTE
TRAVELING AT 70 MI/HR.
WHEN WILL THE SECOND TRUCK CATCH UP TO THE FIRST TRUCK?
THANKS
JMS
1 solutions

Answer 79386 by checkley71(8403) About Me  on 2007-11-08 17:47:26 (Show Source):
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DISTANCE=RATE*TIME
SEEING AS THE DISTANCES ARE THE SAME WE HAVE:
35T=70(T-2)
35T=70T-140
35T-70T=-140
-35T=-140
T=-140/-35
T=4 HOURS THEY WILL MEET.
PROOF
35*4=70(4-2)
140=70*2
140=140


Length-and-distance/108730: Assume that 420 members of the House are available to vote. How many votes are necessary to make up a majority, which is anything over ?
1 solutions

Answer 79384 by checkley71(8403) About Me  on 2007-11-08 17:43:04 (Show Source):
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MAJORITY=(TOTAL/2)+1=(420/2)+1=210+1=211 ANSWER.




Polynomials-and-rational-expressions/108855: This question is from textbook Structure and Method
please help me solve this qeustion:
-3x%5E2%2B7x%5E2y-x%5E3%2Bxy%5E2%2B4x%5E3-3x%5E2y
I am having difficulty because our teacher has not explained any of this to our class. Thank you soooo much...

1 solutions

Answer 79376 by checkley71(8403) About Me  on 2007-11-08 16:38:11 (Show Source):
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COMBINE LIKE TERMS:
-3X^2+(7X^2Y-3X^2Y)+(-X^3+4X^3)+XY^2
3X^2+4X^2Y+3X^3+XY^2 ANSWER.


Miscellaneous_Word_Problems/108850: Train A leaves a station traveling at 96 kil. per hour. 2 hours later, Train B leaves the same station traveling in the same direction at 106 kil per hour. How long does it take Train B to chatch up to Train A?
1 solutions

Answer 79375 by checkley71(8403) About Me  on 2007-11-08 16:34:07 (Show Source):
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DISTANCE=RATE*TIME.
SEEING AS THE DISTANCES ARE THE SAME THEN:
96T=106(T-2)
96T=106T-212
96T-106T=-212
-10T=-212
T=-212/-10
T=21.2 HOURS AFTER THE FIRST TRAIN LEAVES THEY WILL MEET.


Polynomials-and-rational-expressions/108853: This question is from textbook Structure and Method
Please help me solve this question:
n%5E2-4n-3n%5E2%2B7n%2B5n%5E2
my teacher does not explain anything and we are all having trouble; even when one of us asks for an explanation, we do not get one that any of us can understand; your help is very appreciated.
1 solutions

Answer 79374 by checkley71(8403) About Me  on 2007-11-08 16:27:47 (Show Source):
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N^2-4N-3N^2+7N+5N^2 NOW GROUP ALL LIKE TERMS & COMBINE THEM
(N^2-3N^2+5N^2)+(-4N+7N)
(7N^2-3N^2)+(+3N)
4N^2+3N
N(4N+3)


Miscellaneous_Word_Problems/108846: Thor's avverage driving speed is 14 kil. per hour. faster than Doug's. In the same length of time it takes Thor to drive 348 kil., Doug drives only 292 kil. what is Thor's average speed?
1 solutions

Answer 79373 by checkley71(8403) About Me  on 2007-11-08 16:24:12 (Show Source):
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DISTANCE=RATE*TIME.
OR TIME=DISTANCE/RATE.
348/(X+14)=292/X
NOW CROSS MULTIPLY.
348X=292(X+14)
348X=292X+4088
348X-292X=4088
56X=4088
X=4088/56
X=73 SPEED FOR DOUG.
348/(73+14)=292/73
348/87=4
4=4


Graphs/108841: Solve the following by graphing.
3x-y=1
3x-y=2
1 solutions

Answer 79372 by checkley71(8403) About Me  on 2007-11-08 16:09:07 (Show Source):
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3X-Y=1
-Y=-3X+1
Y=-3X/-1+1/-1
Y=3X-1 (RED LINE)
3X-Y=2
-Y=-3X+2
Y=-3X/-1+2/-1
Y=3X-2 (GREEN LINE)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+3x+-1%2C+y+=+3x+-2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 3x -1 and y = 3x -2).


Equations/108842: Write the equation of the line passing through (6,4) and (6,2).
1 solutions

Answer 79369 by checkley71(8403) About Me  on 2007-11-08 16:03:49 (Show Source):
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SLOPE=(Y2-Y1)/(X2-X1)=(2-4)/(6-6)=-2/0 WHICH INDICATES A VERTICLE LINE THAT PASSES THROUGH THE POINT
THEREFORE THE LINE EQUATION IS X=6.


Human-and-algebraic-language/108775: C-11: Plumbing: A septic tank has the shape ends, 3'6" and long side 5'9". How many gallons does it hold? ( 1 ft cubed+=7.48 gallons.) Round to the nearest gallon.
1 solutions

Answer 79367 by checkley71(8403) About Me  on 2007-11-08 16:01:08 (Show Source):
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ASSUMING THE END IS A 3.5 SQUARED.
YOU NEED THREE DIMENTIONS FOR A VOLUME PROBLEM.
3.5*3.5*5.75=70.44 CUBIC FEET.
7.48*70.44=527 GALLONS. ANSWER.


absolute-value/108776: find the value of {4+5}x{6-3}
1 solutions

Answer 79365 by checkley71(8403) About Me  on 2007-11-08 15:55:38 (Show Source):
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(4+5)(6-3)=9*3=27 ANSWER.


Human-and-algebraic-language/108778: C-12 Construction: How many cubic yards of concrete are needed to pour eight cylindrical pillars 12 ft 6 in high, each with a diameter of l ft 9 in.?
1 solutions

Answer 79364 by checkley71(8403) About Me  on 2007-11-08 15:54:16 (Show Source):
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VOLUME=12.5*PI*D
SEEING AS YOU HAVE 8 COLUMNS MULTIPLY THIS BY 8 THUS:
8(12.5)(3.14*1.75)=549.5 CUBIC FEET.
1 CUBIC YARD = 27 CUBIC FEET.
THUS WE HAVE:
549.5/27=20.35 CUBIC YARDS OF CEMENT IS NEEDED.


test/108780: one side is 3 and another side is 3 and then there is another side that is 5 this is a square

1 solutions

Answer 79362 by checkley71(8403) About Me  on 2007-11-08 15:46:16 (Show Source):
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IF THESE 3 ARE SIDES ARE 3,3,5 THEN THIS IS A TRIANGLE.
IF THE SIDES ARE 3,3 & THE HEIGHT IS 5 THEN THIS IS A 3 DIMENTIONAL FIGURE.
WHAT DO YOU WANT? AREA, VOLUME, TOTAL SURFACE AREA?


absolute-value/108781: find the value of 17.5/2
1 solutions

Answer 79361 by checkley71(8403) About Me  on 2007-11-08 15:42:37 (Show Source):
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17.5/2=8.75 answer.


Equations/108803: Find the product or quotient. Write the answer using exponents.
31. b^4 x b
Any help with this problem would be GREATLY appreciated:)
1 solutions

Answer 79356 by checkley71(8403) About Me  on 2007-11-08 15:29:15 (Show Source):
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31) IF THAT IS B^4*B THEN WE ADD THE EXPONENTS THUS:
B^(4+1)=B^5 ANSWER.


Equations/108802: Find the product or quotient. Write the answer using exponents.
10^9 x 10^2

Any help with this problem would be GREATLY appreciated:)
1 solutions

Answer 79355 by checkley71(8403) About Me  on 2007-11-08 15:27:38 (Show Source):
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10^9*10^2 NOW ADD THE EXPONENTS
10^11


Quadratic_Equations/108835: This question is from textbook algebra 1
what is (a^2+a+1)+ (5a^2-8a+20)
1 solutions

Answer 79354 by checkley71(8403) About Me  on 2007-11-08 15:26:02 (Show Source):
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A^2+A+1
5A^2-8A+20
------------------------------
6A^2-7A+21
TO SOLVE USE THE QUADRATIC EQUATION.
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+


Graphs/108834: This question is from textbook Algebra 1
Write an equation in slope-intercept form that has the same slope as 3x-2y=8 and the same y-intercept as 2y+3x=-4
1 solutions

Answer 79352 by checkley71(8403) About Me  on 2007-11-08 15:22:57 (Show Source):
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3X-2Y=8 OR -2Y=-3X+8 OR Y=-3X-2+8/-2 OR Y=3X/2-4 THIS LINE HAS A SLOPE OF 3/2.
2Y+3X=-4 OR 2Y=-3X-4 OR Y=-3X/2-4/2 OR Y=-3X/2-2 THIS LINE HAS A Y INTERCEPT OF -2.
THE DESIRED LINE HAS THE FOLLOWING EQUATION:
Y=3X/2-2 ANSWER.


Equations/108804: Find the product or quotient. Write the answer using exponents.
32. 6n^6/n^5
Any help with this problem would be GREATLY appreciated:)
1 solutions

Answer 79350 by checkley71(8403) About Me  on 2007-11-08 15:17:49 (Show Source):
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6N^6/N^5 SUBTRACT N^5 FROM THE NUMERATOR & THE DENOMINATOR.
(6N^6-N^5)/(N^5-N^5)
6N ANSWER.


Polynomials-and-rational-expressions/108829: Question #107885 example 1 in your list: 6x^2 - xy - 5y^2. I need to see steps so that I understand how this was done to repeat it on my other problems.
1 solutions

Answer 79348 by checkley71(8403) About Me  on 2007-11-08 15:13:31 (Show Source):
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6X^2-XY-5Y^2
YOU NEED TO FIND FACTORS OF 6 & 5 THAT WHEN MULTIPLIED & THEN ADDED =-1.
FACTORS ARE 1&6, -1&-6, 2&3, -2&-3 FOR 6
FACTOPRS ARE -1&5, 1&-5 FOR -5
TO FIND THE CORRECT COMBINATION MAKE UP A TABLE OF THE PRODUCTS & THE SUMS TO EQUAL -1.
6*-1+5*1=-6+5=-1 IS THE ONLY COMBINATION TO PASS THE TEST.
(6X+5Y)(X-Y)


Miscellaneous_Word_Problems/108644: Marlee made $5 an hour working after school and $6 an hour working on Saturdays. Last week she made $64.50 by working a total of 12 hours. How many hours did she work on Saturday?
1 solutions

Answer 79236 by checkley71(8403) About Me  on 2007-11-07 18:21:06 (Show Source):
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5X+6(12-X)=64.50
5X+72-6X=64.50
-X=64.50-72
-X=-7.5
X=7.5 HOURS @ $5 PER HOUR AFTER SCHOOL WORK.
12-7.5=4.5 HOURS @$6 PER HOUR SATURDAY WORK.
PROOF
5*7.5+6*4.5=64.50
37.5+27=64.50
64.50=64.50


Proportions/108645: what number is 120% of 80?
how do i do this?
1 solutions

Answer 79235 by checkley71(8403) About Me  on 2007-11-07 18:15:17 (Show Source):
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120%=1.2
1.2*80=96 ANSWER.


Numbers_Word_Problems/108643: The larger of two consecutive integers is 7 greater than twice the smaller. Find the integers....
1 solutions

Answer 79233 by checkley71(8403) About Me  on 2007-11-07 18:14:00 (Show Source):
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LET X BE THE SMALLER NUMBER & X+1 THE LARGER NUMBER.
X+1=7+2X
X-2X=7-1
-X=6
X=-6 ANSWER FOR THE SMALLER NUMBER.
-7+1=-6 ANSWER FOR THE LARGER NUMBER.
PROOF
-6+1=7+(2*-6)
-5=7-12
-5=-5


Volume/108635: to the nearest hundredth, find the surface area of a cone whose slant height is 9 centimeters and that has a base with radius 6 centimeters.
1 solutions

Answer 79232 by checkley71(8403) About Me  on 2007-11-07 18:05:06 (Show Source):
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TSA=1/2PS+BASE
TSA=1/2(PI*D)S+PI*R^2
TSA=.5*3.14*12*9+3.14*6^2
TSA=169.56+113.04
TSA=282.6 ANSWER.


Equations/108638: nine more than four times a number is the same as one less than twice the number
1 solutions

Answer 79230 by checkley71(8403) About Me  on 2007-11-07 17:47:36 (Show Source):
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4X+9=2X-1
4X-2X=-1-9
2X=-10
X=-10/2
X=-5 ANSWER.
PROOF
4*-5+9=2*-5-1
-20+9=-10-1
-11=-11


Equations/108636: Can you check my answer please
If a bank compounds continuously, then the formula used is A=Pe(rt)
where e is a constant and equals approximately 2.7183.
Calculate A with continuous compounding. Round your answer to the hundredth's place.A is the amount of the return.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the number of compound periods in one year.
t is the number of years
I used 2000 as the principal and.08 as the interest rate.
A=2000(2.7183).08
A=2166.5753
Thank you
Thank You

1 solutions

Answer 79229 by checkley71(8403) About Me  on 2007-11-07 17:45:11 (Show Source):
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A=2000(2.7183).08
A=5,436.6*.08
A=$434.93


Volume/108634: A pyramid has a square base. Find the surface area of the pyramid if its slant height is 10 centimeters and the sides of its base are 5 centimeters long.
1 solutions

Answer 79228 by checkley71(8403) About Me  on 2007-11-07 17:36:11 (Show Source):
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A SQUARE PYRAMID HAS 4 TRIANGLE SIDES WITH A BASE OF 5 CM & A HEIGHT OF 10CM.
AREA OF EACH TRIANGLE=(B*H)/2
THUS WE HAVE 4(5*10)/2=4*50/2=200/2=100 SQUARE CM.


Quadratic_Equations/108630: The augmented matrix
1 3 2 4
2 -1 5 -2
-3 1 6 1
Represent the systems of equations.
1 solutions

Answer 79227 by checkley71(8403) About Me  on 2007-11-07 17:31:35 (Show Source):
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X+3Y+2Z=4
2X-Y+5Z=-2
-3X+Y+6Z=1
THESE ARE THE 3 EQUATIONS IN THE MATRIX.


Quadratic_Equations/108551: Solve using square root property
2x^2-35=15
Thanks in advance!!
1 solutions

Answer 79226 by checkley71(8403) About Me  on 2007-11-07 17:28:48 (Show Source):
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2X^2-35=15
2X^2-35-15=0
2X^2-50=0
2(X^2-25)=0
2(X-5)(X+5)=0
X-5=0
X=5 ANSWER.
X+5=0
X=-5 ANSWER.


Linear-equations/108626: This question is from textbook algebra 2 with trigonometry
Find the slope of 3x-2y=8
1 solutions

Answer 79225 by checkley71(8403) About Me  on 2007-11-07 17:09:38 (Show Source):
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3X-2Y=8
-2Y=-3X+8
Y=-3X/-2+8/-2
Y=3X/2-4 THE SLOPE(m)=3/2 ANSWER.


Linear-equations/108625: This question is from textbook algebra 2 with trigonometry
Find the slope of 3x-2y=8
1 solutions

Answer 79224 by checkley71(8403) About Me  on 2007-11-07 17:08:32 (Show Source):
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3X-2Y=8
-2Y=-3X+8
Y=-3X/-2+8/-2
Y=3X/2-4 THE SLOPE(m)=3/2 ANSWER.