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checkley75 answered: 3664 problems
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Polynomials-and-rational-expressions/83641: Factor each of the following trinomials completely:
x^2-11x-60 Please help me with this one!!!
1 solutions

Answer 60143 by checkley75(3666) on 2007-05-28 17:51:19 (Show Source):

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x^2-11x-60
(x-15)(x+4)

Probability-and-statistics/83644: If the probability of rain is 2/7, what is the probability thats it will not rain?
1 solutions

Answer 60142 by checkley75(3666) on 2007-05-28 17:49:45 (Show Source):

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1-2/7=5/7 that it will not rain.

Rational-functions/83499: What is the GCF for the polynomial 8x4y + 6x2y2
1 solutions

Answer 60141 by checkley75(3666) on 2007-05-28 17:48:42 (Show Source):

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8x^4y+6x^2y^2
2x^2y(4x^2+3y)

Numeric_Fractions/83554: x+1/2 - x+2/3 = x+3/4
solve for x
1 solutions

Answer 60140 by checkley75(3666) on 2007-05-28 17:46:31 (Show Source):

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x+1/2-x+2/3=x+3/4
x-x-x=3/4-1/2-2/3
-x=(9-6-8)/12
-x=5/12
x=-5/12 answer.

Linear-equations/83556: Complete the ordered pairs for the equation y = 8x + 16.

( ,0),(1/8, ),(0, ),(-1/8, )
1 solutions

Answer 60138 by checkley75(3666) on 2007-05-28 17:41:24 (Show Source):

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Y=8X+16
0=8X+16
8X=-16
X=-16/8
X=-2 ANSWER. (-2,0)
Y=1/8*8+16
Y=1+16
Y=17 ANSWER. (1/8,17)
y=8*0+16
y=16 answer. (0,16)
y=-1/8*8+16
y=-1+16
y=15 answer. (-1/8,15)

Travel_Word_Problems/83625: a cruise boat travels 84 miles downstream in 2 hours and returns upstream in 6 hours find the rate of the stream
1 solutions

Answer 60137 by checkley75(3666) on 2007-05-28 17:34:00 (Show Source):

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D=RT OR R=D/T OR 84/2 OR 42 MPH DOWNSTREAM.
R=84/6 OR 14 MPH UPSTREAM.
(42-14)/2=28/2=14 MPH FOR THE CURRENT.

Linear-systems/83635: The solutions of line m are (3, 3), (5, 5), (15, 15), (34, 34), (678, 678), and (1234, 1234).
The solutions of line n are (3, -3), (5, -5), (15, -15), (34, -34), (678, -678), and (1234, -1234).
Form the equations of both the lines.
What are the co-ordinates of the point of intersection of lines m and n?
Write the co-ordinates of the intersections of lines m and n with the x-axis.
Write the co-ordinates of the intersection of lines m and n with the y-axis.

Thank You
1 solutions

Answer 60136 by checkley75(3666) on 2007-05-28 17:22:36 (Show Source):

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first equation: slope=(5-3)/(5-3)=2/2=1.
3=1*3+b, 3=3+b, b=3-3, b=0.
thus we have the line equation y=x (red line-m) (intersect=0,0)
second equation:slope=(-3-3)/(5-3)=-6/2=-3.
-3=-3*3+b, -3=-9+b. -3+9=b. b=6.
thus we have the line equation y=-3x+6 (green line-n) (intersect=2,6)
+graph%28+300%2C+300%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+x%2C+y+=+-3x+%2B6%29+

+graph%28+300%2C+300%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+x%2C+y+=+-3x+%2B6%29+

(graph 300x300 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x and y = -3x +6).
y=x now substitute in the second equation
x=-3x+6
x+3x=6
4x=6
x=6/4
x=3/2 answer.
y=3/2 answer.

Rational-functions/83501: What is the GCF for the polynomial -10x3y4 - 16x5y2?
1 solutions

Answer 60069 by checkley75(3666) on 2007-05-27 16:31:19 (Show Source):

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-10X^3Y^4-16X^5Y^2 HAS A GCF OF:
-2X^3Y^2(5Y^2+8X^2) ANSWER.

Polynomials-and-rational-expressions/83535: what is difference between 2X2=4XY-3ANDX2-2XY-4
1 solutions

Answer 60068 by checkley75(3666) on 2007-05-27 16:27:45 (Show Source):

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MAYBE THERE IS A MISTAKE IN ONE OR BOTH EQUATIONS. ONE HAS AN = SIGN THE OTHER ONE DOESN'T. ARE THEY BOTH CORRECT?????

Polynomials-and-rational-expressions/83216: I need to find the value of each of the polynomials for the given values of the variable: -x^2-5x-6, x=-3 and x=-2
1 solutions

Answer 60067 by checkley75(3666) on 2007-05-27 16:25:18 (Show Source):

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-X^2-5X-6 SUBSTITUTYING THE VALUES (X=-3) OR (X=-2) WE GET THE FOLLOWING:
-(-3)^2-5*-3-6
-9+15-6=0
0=0
-------------------------------------------------
-(-2)^2-5*-2-6
-4+10-6=0
0=0

Polynomials-and-rational-expressions/83537: This question is from textbook
x^2-19x+60=
(x+15)(x-4)
1 solutions

Answer 60066 by checkley75(3666) on 2007-05-27 16:17:43 (Show Source):

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X^2-19X+60=(X-15)(X-4)
-------------------------------
YOU HAVE (X+15)(X-4)=X^2+11X-60

Expressions-with-variables/83540: solve the equation/show work
square root of x+3=x-3
there is an extraneous solution,so check your answer by substitution into thr original equation to find the only solution. (this is the note attached to the problem)

1 solutions

Answer 60065 by checkley75(3666) on 2007-05-27 16:15:11 (Show Source):

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SQRT(X+3)=X-3 SQUARING BOTH SIDES WE GET:
X+3=(X-3)^2
X+3=X^2-6X+9
X^2-6X-X+9-3=0
X^2-7X+6=0
(X-6)(X-1)=0
X-6=0
X=6 ANSWER.
SQRT(6+3)=6-3
SQRT9=3
+/-3=3 (+3)SOLUTION
X-1=0
X=1 ANSWER.
SQRT(1+3)=1-3
SQRT4=-2
+/-2=-2 (-2) SOLUTION

Expressions-with-variables/83541: solve the equation/show work please
square root of 3x -4 =2
___
5

1 solutions

Answer 60064 by checkley75(3666) on 2007-05-27 16:05:07 (Show Source):

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IF THIS IS
3X/5-4=2 THEN:
3X/5=2+4
3X/5=6 NOW CROSS MULTIPLY:
3X=5*6
X=30/3
X=10 ANSWER.
PROOF
3*10/5-4=2
30/5-4=2
6-4=2
2=2

Expressions-with-variables/83542: detertime if the given side measures from a right triangle
a= 15, b=20, c=25 show work
1 solutions

Answer 60063 by checkley75(3666) on 2007-05-27 16:01:56 (Show Source):

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A TYPICAL RIGHT TYRIANGLE IS A 3-4-5 TRIANGLE.
THIS 15-20-25 IS A SIMILAR RIGHT TRIANGLE.
PROOF:
DIVIDE ALL SIDES BY 5 & WE GET
15/5-20/5-25/5=3-4-5.

absolute-value/83496: (x+4)=9
1 solutions

Answer 60022 by checkley75(3666) on 2007-05-26 15:47:08 (Show Source):

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(x+4)=9
x=9-4
x=5 answer.
proof
5+4=9
9=9

Length-and-distance/83478: This question is from textbook Basic Mathematical Skills with Geometry
Find the length of the unknown side.
one side is 33 and the other side is 44.
Thanks, Jim
1 solutions

Answer 60003 by checkley75(3666) on 2007-05-26 10:50:23 (Show Source):

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IS THIS A RIGHT TRIANGLE? WHICH SIDE IS THE HYPOTENUSE IF IT IS A RIGHT TRIANGLE?
33^2+44^2=h^2
1089+1936=h^2
3025=h^2
h=sqrt3025
h=55 answer . this is a typical 3-4-5 or 33-44-55 right triangle.

Graphs/83472: I have been trying to solve these equations by graphing them but I'm getting a little lost.
1. a 2x-y=4
b 2x-y=6
2. a x-2y=8
b 3x-2y=12
3. a 3x-6y=9
b x-2y=3
The values for m and b in the following system has to be found so that the solution to the system is (-3,4)
5x+7y=b
mx+y=22

1 solutions

Answer 60002 by checkley75(3666) on 2007-05-26 10:48:40 (Show Source):

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TO SOLVE THESE LINE EQUATION YOU MUST FIRST CHANGE THEM INTO THE STANDARD EQUATION FOR A LINE THUS:
1A) 2x-y=4, -y=-2x+4, y=2x-4 (red line)
1B) 2x-y=6, -y=-2x+6, y=2x-6 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+2x+-4%2C+y+=+2x+-6%29+

+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+2x+-4%2C+y+=+2x+-6%29+

(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 2x -4 and y = 2x -6).
-----------------------------------------------------------
2A) X-2Y=8,-2Y=-X+8, Y=-X/-2+8/-2, Y=X/2-4 (RED LINE)
2B) 3X-2Y=12, -2Y=-3X=12, Y=-3X/-2+12/-2, Y=3X/2-6 (GREEN LINE)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+x%2F2+-4%2C+y+=+3x%2F2+-6%29+

+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+x%2F2+-4%2C+y+=+3x%2F2+-6%29+

(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x/2 -4 and y = 3x/2 -6).
--------------------------------------------------------------
I'LL LEAVE THE REST FOR YOU TO PRACTICE WITH!!!!!

Human-and-algebraic-language/83459: 3x-6x=-15 x=??
1 solutions

Answer 59972 by checkley75(3666) on 2007-05-25 21:34:08 (Show Source):

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3X-6X=-15
-3X-15
X=-15/-3
X=5 ANSWER

Square-cubic-other-roots/83352: 1/3 square root 27 + square root 8 + square root 300 - square root 18 - square root 162
1 solutions

Answer 59970 by checkley75(3666) on 2007-05-25 21:20:03 (Show Source):

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1/3SQRT27+SQRT8+SQRT300-SQRT18-SQRT162
1/3*3SQRT3+2SQRT2+10SQRT3-3SQRT2-9SQRT2
SQRT3+2SQRT2+10SQRT3-3SQRT2-9SQRT2
11SQRT3-10SQRT2

Human-and-algebraic-language/83460: if 3x=6x-15 then x+8=?
1 solutions

Answer 59967 by checkley75(3666) on 2007-05-25 21:03:01 (Show Source):

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3X=6X-15
3X-6X=-15
-3X=-15
X=-15/-3
X=5 ANSWER.
5+8=13 ANSWER.

Polynomials-and-rational-expressions/83431: evaluate
square root of
4 over 25
1 solutions

Answer 59966 by checkley75(3666) on 2007-05-25 20:56:14 (Show Source):

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WHAT YOU ARE NOT DOING IS TAKING THE SQUARE ROOT OF BOTH NUMERATOR & DENOMINATOR. YOU MUST TAKE THE SQRT OF ALL VALUES UNDER THE RADICAL.
EXAMPLE: SQRT(16/64)=SQRT(4*4/8*8)=4/8=1/2 OR SQRT(16/64)=SQRT(1/4)=1/2
--------------------------------------------------------------------------------
SQRT(4/25)=SQRT(2*2/5*5)=2/5

Miscellaneous_Word_Problems/83461: This question is from textbook
In a class of 62 students, the number of females is one less than twice the number of males. How many females and how many males are there in the class?
1 solutions

Answer 59965 by checkley75(3666) on 2007-05-25 20:51:40 (Show Source):

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M+(2M-1)=62
M+2M-1=62
3M=62+1
3M=63
M=63/3
M=21 NUMBER OF MALES.
62-21=41 NUMBER OF FEMALES.

Length-and-distance/83268: The volume of a cube is given by V = s cubed. Find the length of a side of a cube if the Volume is 729 cm cubed.

1 solutions

Answer 59877 by checkley75(3666) on 2007-05-24 21:30:31 (Show Source):

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X^3=729
X^3=9*9*9
X=9 ANSWER.

Volume/83269: What is the measurement of the height of a cylinder if the radius is 2
1 solutions

Answer 59876 by checkley75(3666) on 2007-05-24 21:28:30 (Show Source):

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A RADIUS OF 2 CM & A VOLUME OF 100 HAS A HEIGHT OF
100=2piR*H WHERE H=HEIGHT.
100=2*3.14*2*H
100=12.56H
H=100/12.56
H=7.96 CM^3

Miscellaneous_Word_Problems/83273: This question is from textbook introductory algebra
Two printing presses can complete a job in 2 hours. if one requires 6 hours to do the job alone, how many hours would the second press need to conplete the job alone?
1 solutions

Answer 59875 by checkley75(3666) on 2007-05-24 21:26:26 (Show Source):

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2=6x/(6+x) now cross multiply
2(6+x)=6x
12+2x=6x
6x-2x=12
4x=12
x=12/4
x=3 hours for the other machine working alone.
proof
6*3/(6+3)=2
18/9=2
2=2

Linear-equations/83373: Could you please help me graph this linear equation? Thank you very much!!
y=5x+2
1 solutions

Answer 59871 by checkley75(3666) on 2007-05-24 21:21:33 (Show Source):

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y=5x+2
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+5x+%2B2%29+

(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 5x +2).

Polynomials-and-rational-expressions/83312: This question is from textbook
could you help me with this problem?
scientific notation 56.8 x 10^4 divided by 8 x 10^2thanks a lot
1 solutions

Answer 59870 by checkley75(3666) on 2007-05-24 21:18:58 (Show Source):

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56.8*10^4/8*10^2
56.8/8=7.1
10^4/10^2=10^2 THUS WE HAVE THE ANSWER:
7.1*10^2

Graphs/83349: Please help! and evaluate
b^2-2bc+c^2 if b=3 and c=-2

1 solutions

Answer 59858 by checkley75(3666) on 2007-05-24 20:20:08 (Show Source):

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B^2-2BC+C^2
3^2-2*3*-2+(-2)^2
9+12+4=25 ANSWER.

Linear_Equations_And_Systems_Word_Problems/83365: This question is from textbook Algebra: Structure and Method, Book 1
there are 26 times as many students at Lincoln high school as teachers. When all the teachers and students are seated in the 900 seat school auditorium, only 9 seats are unoccupied. How many students are at Lincoln high?
1 solutions

Answer 59856 by checkley75(3666) on 2007-05-24 20:16:09 (Show Source):

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I BELIEVE YOU HAVE THE WRONG STATEMENT. THE MINIMUM NUMBER OF TEACHERS + STUDENTS IS 1+26=27. HOWEVER YOU STATE THAT THERE ARE ONLY 9 SEATS OCCUPIED.
THESE FIGURES MAKE NO SENSE.

Expressions-with-variables/83360: rachel has 20 nickels, dimes and quarters worth $3.70. if she has twice as many quarters as dimes, how many nickels does she have?
i COMPLETELY forgot how to do this kind of problem. sorry!

1 solutions

Answer 59855 by checkley75(3666) on 2007-05-24 20:12:58 (Show Source):

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2d+d+n=20, n=20-3d
25*2d+10*d+5(20-3d)=370
50d+10d+100-15d=370
45d=370-100
45d=270
d=270/45
d=6 number of dimes.
2*6=12 number of quarters.
20-6-12=2 number of nickles.
proof
12*25+6*10+2*5=370
300+60+10=370
370=370

Graphs/83363: Please help. I am pulling my hair out over this one as well?
For the equation in exercises 38, create a suitable table of values, and sketch the graph (including the axis of symmetry). Identify the axis of symmetry, identify the vertex point, the graph’s direction, and any axis intercepts gleaned from the table or graph.
y= -x^2+6x-2

1 solutions

Answer 59852 by checkley75(3666) on 2007-05-24 19:56:24 (Show Source):

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y=-x^2+6x-2
+graph%28+300%2C+200%2C+-6%2C+10%2C+-10%2C+10%2C+y+=+-x%5E2+%2B6x+-2%29+

(graph 300x200 pixels, x from -6 to 10, y from -10 to 10, y = -x^2 +6x -2).

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Recent problems solved by 'checkley75'