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checkley75 answered: 3664 problems
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Inequalities/75766: what does -9<2b-13 equal

1 solutions
Answer 54460 by checkley75(3666) About Me  on 2007-03-26 14:08:02 (Show Source):
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WHAT TYPE OF SCHOOL ARE YOU IN WHERE THE TEACHER WILL NOT HELP?????????
I HAVE TUTORED IN SCHOOLS, PRISONS, PRIVATELY AND ON THE INTERNET. DON'T UNDERSTAND WHY TEACHERS CAN'T TEACH BASIC ALGEBRA, GEOMETRY, ETC AFTER GRADUATING FROM COLLEGE. I NEVER GRADUATED FROM COLLEGE AND HAVE JUST RETAINED ALL MY OLDER BROTHER TAUGHT ME WHEN IN THE 8 th & 9 th GRADES.
KEEP COMING BACK HERE FOR HELP. THAT'S WHAT WE (TUTORS) ARE FOR --- TO HELP THOSE WHO DON'T GET THE HELP THEY NEED IN CLASS. DON'T GIVE UP ALL MATH IS JUST A FEW SETS OF RULES & ONCE MASTERED NOTHING IS UNSOLVEABLE.
-------------------------------------------------------------------------------
-9<2b-13
2b-13>-9
2b>-9+13
2b>4
b>4/2
b>2
proof: let b=3
2*3-13>-9
6>-9+13
6>4

Rectangles/75826: The length of a rectangle is 8cm more than the width. The area is 50 sq.cm. Find the length and the width in simplest form.
1 solutions
Answer 54458 by checkley75(3666) About Me  on 2007-03-26 14:00:02 (Show Source):
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w(w+8)=50
w^2+8w-50=0
using the quadratic equation we get:
w=(-8+-sqrt[8*8-4*1*-50])/2*1
w=(-8+-sqrt[64+200])/2
w=(-8+-sqrt264)/2
w=(-8+-16.248)/2
w=(-8+16.248)/2
w=8.248/2
w=4.12 answer.
l=4.12+8=12.12
proof
4.12*12.14=50
50=50

Human-and-algebraic-language/75829: Find a trinomial that represents the area of a parallelogram whose base is 3x + 2 meters and whose height is 2x + 3 meters.
1 solutions
Answer 54457 by checkley75(3666) About Me  on 2007-03-26 13:51:31 (Show Source):
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(3x+2)(2x+3)=6x^2+4x+9x+6=6x^2+13x+6

Miscellaneous_Word_Problems/75836: Sam lives on a lot that he thought was a square, 157 feet by 157 feet. When he had it surveyed, he discovered that one side was actually 2 feet longer than he thought and the other was actually 2 feet shorter than he thought. How much less area does he have than he thought he had?
1 solutions
Answer 54456 by checkley75(3666) About Me  on 2007-03-26 13:48:55 (Show Source):
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157*157=24,649 what he thought he had.
(157-2)(157+2)=155*159=24,645
24,649-24,645=4 square feet less than the original measurements.

Sequences-and-series/75801: each stroke of a vacuum pump removes one third of the air ramianing in a container. wut percent of the original quanity of the air ramains in the container after 10 strokes, to the nearest percentage?
we r workin with geometric sequence
1 solutions
Answer 54451 by checkley75(3666) About Me  on 2007-03-26 11:24:49 (Show Source):
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SINCE EACH STROKE REMOVES 1/3 OF THE AIR THEN THE REMAINING AIR IS 2/3 WHICH IS AGAIN REDUCED BY 1/3 WITH EACH SUCCESSIVE STROBE LEAVING 2/3 OF THE REMAING AIR, ETC. SO AFTER 10 STROKES WE HAVE LEFT:
2/3*2/3*2/3*2/3*2/3*2/3*2/3*2/3*2/3*2/3=1,024/59,049=.0173415=1.7% OF THE AIR IS LEFT.
OR
(2/3)^10=.0173415=1.7%

Expressions-with-variables/75814: solve x^2-7x-3=0 for x.
1 solutions
Answer 54449 by checkley75(3666) About Me  on 2007-03-26 11:13:02 (Show Source):
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X^2-7X-3=0 USING THE QUADRATIC EQUATION WE GET:
X=(7+-SQRT[-7^2-4*1*-3])/2*1
X=(7+-SQRT[49+12])/2
X=(7+-SQRT61)/2
X=(7+-7.81)/2
X=(7+7.81)/2
X=14.81/2
X=7.405 ANSWER.
X=(7-7.81)/2
X=-.81/2
X=-.405 ANSWER.

Rate-of-work-word-problems/75816: An old-model machine can stamp 1000 parts in 4 hours, but his helper would require 6 hours to do it alone. How long will it take them to do it if they work together.
1 solutions
Answer 54448 by checkley75(3666) About Me  on 2007-03-26 11:03:01 (Show Source):
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4*6/(4+6)=24/10=2.4 hours to complete the 1000 parts when they work together.

Systems-of-equations/75797: Given f(x) = –4x – 3, find f (a – 2)
1 solutions
Answer 54427 by checkley75(3666) About Me  on 2007-03-25 21:48:18 (Show Source):
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F(X)=-4X-3
F(A-2)=-4(A-2)-3
F(A-2)=-4A+8-3
F(A-2)=-4A+5

decimal-numbers/75725: 1.2738/.22
1 solutions
Answer 54426 by checkley75(3666) About Me  on 2007-03-25 21:45:31 (Show Source):
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1.2738/.22=5.79
PROOF
5.79*.22=1.2738

Polynomials-and-rational-expressions/75740: Find the values of each of the following polynomials for the given values of the variable.
-x^2-5x-6, x = -3 and x = -2

1 solutions
Answer 54425 by checkley75(3666) About Me  on 2007-03-25 21:42:57 (Show Source):
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-X^2-5X-6
-(-3^2)-5*-3-6=-9+15-6=0
--------------------------------------------
-(-2^2)-5*-2-6=-4+10-6=0

Miscellaneous_Word_Problems/75741: Business and finance. The cost in dollars of manufacturing w wing nuts is given by the expression 0.07w + 13.3. Find the cost when 375 wing nuts are made. What is the average cost to manufacture one wing nut?
1 solutions
Answer 54424 by checkley75(3666) About Me  on 2007-03-25 21:38:27 (Show Source):
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0.07W+13.3
0.07*375+13.3=26.25+13.3=39.55 COST OF 375 WING NUTS.
39.55/375=.105466 COST OF EACH WING NUT.

Polynomials-and-rational-expressions/75751: Factor completely.
9x^2 + 12xy + 4y^2 -25


1 solutions
Answer 54423 by checkley75(3666) About Me  on 2007-03-25 21:34:20 (Show Source):
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9X^2+12XY+4Y^2-25
(3X+2Y)(3X+2Y)=25 TAKE THE SQUARE ROOT OF BOTH SIDES WE GET
(3X+2Y)=5 OR
3X+2Y-5=0

Functions/75755: Divide and write in simplest form. 15 * 25
21 14
1 solutions
Answer 54422 by checkley75(3666) About Me  on 2007-03-25 21:30:55 (Show Source):
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IF YOU MEAN (15/21*)(25/14) THEN 15*25/21*14=375/294 N OW REDUCE BY DIVIDING BOTH NUMERATOR & DENOMINATOR BY 3 THE ONLY COMMON FACTOR & WE GET:
125/98

Expressions-with-variables/75756: Evaluate the expression: 48 divided by(8-4) - 2
1 solutions
Answer 54420 by checkley75(3666) About Me  on 2007-03-25 21:26:25 (Show Source):
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48/(8-4)-2=(48/4)-2=12-2=10

absolute-value/75757: If x = -2, y = 3, and z = -4, evaluate the following.

xy/x+y
1 solutions
Answer 54419 by checkley75(3666) About Me  on 2007-03-25 21:24:04 (Show Source):
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XY/(X+Y)=(-2*3)/(-2+3)=-6/1=-6

Numeric_Fractions/75759: Write as a fraction. Reduce to lowest terms.
35%

1 solutions
Answer 54418 by checkley75(3666) About Me  on 2007-03-25 21:20:47 (Show Source):
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35/100
REDUCE BY DIVIDING BOTH NUMERATOR & DENOMINATOR BY 5 & WE GET
35/5=7
100/5=20 THUS WE HAVE 7/20

Numeric_Fractions/75760: Add and reduce to lowest terms. 2 and 1/4 + 1 and 1/6

1 solutions
Answer 54416 by checkley75(3666) About Me  on 2007-03-25 21:18:25 (Show Source):
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2 1/4+1 1/6=9/4+7/6=(9*3+7*2)/12=(27+14)/12=41/12

Polynomials-and-rational-expressions/75769: A triangle has 3 sides: b – 2, 2b + 4, and 3b -6. Find the expression that represents its perimeter.
1 solutions
Answer 54415 by checkley75(3666) About Me  on 2007-03-25 21:11:35 (Show Source):
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(B-2)+(2B+4)+(3B-6)=B-2+2B+4+3B-6=6B-4=2(3B-2)

Graphs/75790: Please help me with thses 2 problems and thanks

Factor completely: 9x^2-16y^2

Factor completely: 3x^2-2x-8

1 solutions
Answer 54412 by checkley75(3666) About Me  on 2007-03-25 21:08:14 (Show Source):
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9X^2-16Y^2=(3X-4Y)(3X+4Y)
------------------------------------------------------------
3X^2-2X-8=(3X+4)(X-2)

Square-cubic-other-roots/75770: Find the volume of a box that measures 3 1/4in. by 2 2/3 in. by 2 1/2 in. Do not forget to include the correct units in your answer
1 solutions
Answer 54411 by checkley75(3666) About Me  on 2007-03-25 21:04:44 (Show Source):
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(3 1/4)(2 2/3)(2 1/2)=(13/4)(8/3)(5/2)=(13*8*5)/(4*3*2)=520/24=21 2/3 in^3.

Graphs/75785: I need an equation of a line passing through (6,-10) and ( 6,-6)
1 solutions
Answer 54409 by checkley75(3666) About Me  on 2007-03-25 20:59:16 (Show Source):
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to find the slope we use(y2-y1)/(x2-x1)
(-6+10)/(6-6)
4/0 this mathematical vaue would normally be infinity but here it represents
a vertical line passing through the point x=6.
there is no y intercept and the equation of this line is
x=6

Linear-equations/75673: Find the x and y intercepts of a line whose equation is y= -3/5X +2
1 solutions
Answer 54401 by checkley75(3666) About Me  on 2007-03-25 19:42:27 (Show Source):
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Y=-3X/5+2
SETTING Y=0 WE GET
0=-3X/5+2
-3X/5=-2 CROSS MULTIPLYING WE GET
-3X=-10
X=-10/-3
X=10/3 THUS THE X INTERCEPT IS (10/3,0)
NOW SET X=0 & WE GET
Y=-3*0/5+2
Y=2 THUS THE Y INTERCEPT IS (0,2)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-3x%2F5+%2B2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -3x/5 +2).

Polynomials-and-rational-expressions/75748: Factor each polynomial completely. To begin, state which method should be applied as the first step, given the guidelines of this section. Then continue the exercise and factor each polynomial completely.
M^4 – 9n^4

1 solutions
Answer 54400 by checkley75(3666) About Me  on 2007-03-25 19:34:42 (Show Source):
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THE FIRST STEP FOR THEE TYPE OF EQUATIONS WHERE BOTH TERMS ARE SQUARES IS TO FACTOR EACH SQUARE & THEN MAKE EACH FACTORED TERM A (-) & A (+) OF THE SQUAREROOTS. THUS:

(M^4-9N^4) THE SQUARE ROOT OF M^4 IS M^2 & THE SQUARE ROOT OF 9N^4 IS 3N^2
SO WE HAVE (M^2-3N^2)(M^2+3N^2)

Quadratic_Equations/75749: Solve the following quadratic equation.
4x^2 = 13x + 12


1 solutions
Answer 54399 by checkley75(3666) About Me  on 2007-03-25 19:31:00 (Show Source):
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4X^2=13X+12
4X^2-13X-12=0
(4X+3)(X-4)=0

Polynomials-and-rational-expressions/75753: I do not know what this is asking me. Please help.
Rewrite the middle term as the sum of two terms and then factor completely.
4z^3 – 18z^2 -10z

1 solutions
Answer 54398 by checkley75(3666) About Me  on 2007-03-25 19:28:45 (Show Source):
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4Z^3-18Z^2-10Z
2Z(2Z^2-9Z-5)
2Z(2Z+1)(Z-5) THE MIDDLE TERM IS (2Z*-5)+1Z=-10Z+1Z=-9Z

Numbers_Word_Problems/75717: I need some help with some algebra word problems. I can't quite figure out the answers.
If you could help me i would greatly appreciate it.
The difference between the width and the length of a field is 12 m. Find its dimensions if a fence 160 m in length encloses it.
The length of a rectangle is found by doubling thw width and subtracting 3 m. Find its dimensions if the perimeter is 84 m.
1 solutions
Answer 54395 by checkley75(3666) About Me  on 2007-03-25 19:23:56 (Show Source):
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2L+2W=160 & W-L=12 THUS W=L+12
2L+2(L+12)=160
2L+2L+24=160
4L=160-24
4L=136
L=136/4
L=34 M FOR THE LENGTH.
W-34=12
W=12+34
W=46 M FOR THE WIDTH.
PROOF
2*34+2*46=160
68+92=160
160=160
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2W+2(2W-3)=84
2W+4W-6=84
6W=84+6
6W=90
W=90/6
W=15 M. FOR THE WIDTH
L=2*15-3
L=30-3
L=27 M. FOR THE LENGTH.
PROOF
2*15+2*27=84
30+54=84
84=84

Square-cubic-other-roots/75719: I am stumped on these two problems. I am not sure how to solve them.
simplify..
sqrt 7 x ^ 2
my answer for this is... x sqrt 7x
3 sqrt 486
can this one even be simplified?
1 solutions
Answer 54393 by checkley75(3666) About Me  on 2007-03-25 19:10:56 (Show Source):
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SQRT(7X^2)=SQRT(7*X*X)=XSQRT7
-------------------------------------
3SQRT486=3SQRT(9*9*6)=(3*9)SQRT6=27SQRT6

Linear-equations/75726: Please show me how to calculate the Slope and Intercept for this equation.
36X+9Y=18 also for this equation Y+3X+2. Thank you so very much.
1 solutions
Answer 54392 by checkley75(3666) About Me  on 2007-03-25 19:04:47 (Show Source):
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THE SLOPE (m) & THE Y INTERCEPT (b) IN THE EQUATION
Y=mX+b FOLLOWS:
36X+9Y=18
9Y=-36X+18
Y=-36/9+18/9
Y=-4X+2 THUS THE SLOPE (m)=-4 & THE Y INTERCEPT (b)=2
---------------------------------------------------------------------------
Y+3X+2=0
Y=-3X-2
HERE THE SLOPE (m)=-3 & THE Y INTERCEPT (b)=-2

Functions/75652: Given f(x) = –x3 – 3x2 – 2x – 6, find f(–3), f(0), and f(3)
Now do I have to substitue a number for x? I am so confused!! Thanks for your help!
1 solutions
Answer 54344 by checkley75(3666) About Me  on 2007-03-24 17:41:17 (Show Source):
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F(X)=-X^3-3X^2-2X-6 NOW WE REPLACES ALL Xs WITH (-3) AND SOLVE
F(-3)=-(-3)^3-3(-3)^2-2(-3)-6
F(-3)=-(-27)-3(9)+6-6
F(-3)=27-27
F(-3)=0
------------------------------------------
F(0)=-(0)^3-3(0)^2-2*0-6
F(0)=0-0-0-6
F(0)=-6
------------------------------------------
F(3)=-(3)^3-3(3)^2-2*3-6
F(3)=-27-27-6-6
F(3)=-66
------------------------------------------

Graphs/75654: The sum of two numbers is 112. The second is 7 more than 4 times the first. What are the two numbers?
Lane invested $14,000 part as 15% and part at 2%. If the total interst at at end of year was $1060 how much did she invest at 15%?
1 solutions
Answer 54342 by checkley75(3666) About Me  on 2007-03-24 17:34:51 (Show Source):
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X+Y=112
X=112-Y
Y=4X+7 NOW SUBNSTITUTE (4X+7) FOR Y AND SOLVE FOR X IN THE FIRST EQUATION THUS:
X+(4X+7)=112
5X=112-7
5X=105
X=105/5
X=21 ANSWER FOR THE SMALLER DIGIT
Y=4*21+7
Y=84+7
Y=91
PROOF
91=4*21+7
91=84+7
91=91
AND 91+21=112

Miscellaneous_Word_Problems/75473: In a circle whose radius is 13, a chord has a length of 24. Find the distance of this chord from the center of the circle.
1 solutions
Answer 54338 by checkley75(3666) About Me  on 2007-03-24 16:04:26 (Show Source):
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1/2 OF THE CORD (12)AND THE RADIUS (13) FORM 2 SIDES OF A RIGHT TRIANGLE. THE THIRD SIDE IS THE DISTANCE FROM THE CENTER. THUS:
12^2+X^2=13^2
144+X^2=169
X^2=169-144
X^2=25
X=5 DISTANCE FROM THE CENTER.