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checkley77 answered: 12560 problems
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Quadratic_Equations/140763: Hi I am bnot sure how to do these two problems. I hope some one can help me. Thank you very much.
1. Solve by factoring:
x2 – 9x = -8
2. Solve using the square root property:
2x2 – 5 = 93

1 solutions

Answer 102447 by checkley77(12569) About Me  on 2008-05-08 20:33:29 (Show Source):
You can put this solution on YOUR website!
x2–9x=-8
X^2-9X+8=0
(X-1)(X-8)=0
X-1=0
X=1 ANSWER.
X-8=0
X-8 ANSWER.
---------------------------
2x2–5=93
2X^2=93+5
2X^2=98
X^2=98/2
X^2=49
X=SQRT49
X=7 ANSWER.


Graphs/140706: This question is from textbook Elementary and Intermediate Algebra
Ho do I graph this problem
4x+5y=-2
4y-x = 11
1 solutions

Answer 102446 by checkley77(12569) About Me  on 2008-05-08 20:29:03 (Show Source):
You can put this solution on YOUR website!
4x+5y=-2 or 5y=-4x-2 or y=-4x/5-2/5 (red line)
4y-x=11 or 4y=x+11 or y=x/4+11/4 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-4x%2F5+-2%2F5%2C+x%2F4+%2B11%2F4++%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -4x/5 -2/5 and x/4 +11/4).
ANSWER IS (-3,2)


Graphs/140722: i need to graph f%28x%29=-3x%5E2%2Bx-5 Can I use f(x)=mx+b? The x%5E2 is throwing me off, can you help?
1 solutions

Answer 102445 by checkley77(12569) About Me  on 2008-05-08 20:23:17 (Show Source):
You can put this solution on YOUR website!
Thank you for this answer. Can you explain how to get data points to graph from
this equation? I promise I am not being intentionally dense.
To get any points to graph all you have to do is set x to any value & saolve for y [f(x)]
example:
let x=1
-3*1^2+1-5
-3*1+1-5
-3+1-5=-7 the y value when x=1 or (1,-7)
let x=-2
-3*-2^2-2-5
-3*4-2-5
-12-2-5=-19 the y value for x-=2 (-2,-19)
hope this helps
---------------------------------------------------
f(x)=-3x^2+x-5
+graph%28+300%2C+200%2C+-6%2C+5%2C+-25%2C+10%2C+-3x%5E2+%2Bx+-5%29+ (graph 300x200 pixels, x from -6 to 5, y from -25 to 10, -3x^2 +x -5).


Radicals/140741: This question is from textbook
I need help solving the proportion X/X^2+4=7/5x. please and thank you
1 solutions

Answer 102444 by checkley77(12569) About Me  on 2008-05-08 20:20:07 (Show Source):
You can put this solution on YOUR website!
YOU SHOULD USE ( ) IN THESE TYPE OF EQUATIONS BECAUSE THERE ARE MULTIPLE WAYS OF INTERPRETING THEM AS YOU CAN SEE BELOW.
--------------------------------------------
X/X^2+4=7/5x.
IF THIS EQUATION IS:
X/(X^2+4)=(7/5X) THEN:
7(X^2+4)=5X^2
7X^2+28-5X^2=0
2X^2=28
X^2=28/2
X62=14
X=SQRT14
X=3.74 ANSWER.
-----------------------------------
IF THIS EQUATION IS
(X/X^2)+4=7X/5 THEN:
(1/X)+4=7X/5
(1+4X)/X=7X/5
X*7X=5(1+4X)
7X^2=5+20X
7X^2-20X-5=0
USING THE QUADRATIC EQUATIONx+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+WE GET:
X=3.09 & X=-.231
-------------------------------------------
IF THE EQUATUON IS:
X/(X^2+4)=7X/5 THEN:
7X(X^2+4)=5X
7X^3+28X-5X=0
7X^3+23X=0
X(7X+23)=0
X=0 ANSWER.
7X+23=0
7X=-23
X=-23/7 ANSWER.


Equations/140738: i know how to do equations the easy way, for example, one of my questions is- k divided by negative 5 equals negative 5. so k=1 because 1 times negative 5 equals -5. but my teacher wants me to show my work the mathematical way, but we had a sub today who did not explain to me well at all the mathematical way. so can you help me? Thank so very much for your time.

Shannon
1 solutions

Answer 102442 by checkley77(12569) About Me  on 2008-05-08 20:01:21 (Show Source):
You can put this solution on YOUR website!
Sorry I don't know of any longer method to solve this problem.
k/-5=-5
cross multiply
k=-5*-5
k=25 answer.
How did you get 1??????


Linear-equations/140744: Graphing a linear equation y=3x+5

1 solutions

Answer 102441 by checkley77(12569) About Me  on 2008-05-08 19:56:47 (Show Source):
You can put this solution on YOUR website!
Y=3X+5
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3x+%2B5%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x +5).


Linear_Equations_And_Systems_Word_Problems/140755: can you help me with this problem? it is... the perimeter of a rectangle is 160ft. one fourth the length is the same as twice the width. find the dimension of the rectangle.
1 solutions

Answer 102440 by checkley77(12569) About Me  on 2008-05-08 19:55:06 (Show Source):
You can put this solution on YOUR website!
PERIMETER=2L+2W
L/4=2W
L=8W
160=2*8W+2W
160=16W+2W
160=18W
W=160/18
W=80/9 ANSWER FOR THE WIDTH.
L=8*80/9
L=640/9 ANSWER FOR THE LENGTH.
PROOF
160=2*80/9+2*640/9
160=160/9+1280/9
160=1440/9
160=160


Linear-equations/140757: This question is from textbook algebra 1
How to graph linear equations.
1 solutions

Answer 102439 by checkley77(12569) About Me  on 2008-05-08 19:47:31 (Show Source):
You can put this solution on YOUR website!
Given the line equation (Y=mX+b) or y=-2x+6 we have the following graph:
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-2x+%2B6%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x +6).


Graphs/140758: This question is from textbook algebra 1
How to graph linear equations.
1 solutions

Answer 102437 by checkley77(12569) About Me  on 2008-05-08 19:45:41 (Show Source):
You can put this solution on YOUR website!
Given a linear equation (Y=mX+b) like Y=3X-5 with a slope (m=3) & a y intercept (b=-5) results in the following graph:
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3x+-5%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x -5).


Volume/140759: A round swimming pool has a diameter of 20 feet and is 4 feet tall. How much water will the pool hold?
1 solutions

Answer 102435 by checkley77(12569) About Me  on 2008-05-08 19:41:04 (Show Source):
You can put this solution on YOUR website!
pi*r^2*h=3.14*10^2*4=1,256 ft.^3 is the volume of the pool.


Probability-and-statistics/140760: y=-2/5 x-18
2x-3y=22

1 solutions

Answer 102432 by checkley77(12569) About Me  on 2008-05-08 19:36:55 (Show Source):
You can put this solution on YOUR website!
y=-2/5x-18
2x-3y=22
2x-3(-2x/5-18)=22
2x+6x/5+54=22
(10x+6x)/5=22-54
16x/5=-32
16x=5*-32
16x=-160
x=-160/16
x=-10 answer.
y=-2/5*-10-18
y=20/5-18
y=4-18
y=-14 answer.
proof:
2*-10-3*-14=22
-20+42=22
22=22



Polynomials-and-rational-expressions/140735: The sum of the squares of two consecutive negative integers is 100. Find the integers. (I got the answer but i don't know how to solve it, I did guess and check)
1 solutions

Answer 102425 by checkley77(12569) About Me  on 2008-05-08 16:35:56 (Show Source):
You can put this solution on YOUR website!
thnks but I got 8 and 13
--------------------------------------------
Can't be the correct answers because they are not consecutive integers and they don't work in the proof:
8^2+13^2=64+169=233 not 100.
-------------------------------------------
(-x)^2+(-x+1)^2=100
x^2+x^2-2x+1=100
2x^2-2x+1-100=0
x^2-2x-99=0
using the quadratic equation x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29we get:
x=(2+-sqrt[-2^2-4*2*-99])/2*2
x=(2+-sqrt[4+792)/4
x=(2+-sqrt796)/4
x=(2+-28.2)/4
x=(2-28.2)/4
x=-26.2/4
x=-6.55 answer.
-6.55+1=-5.55 answer.


Exponents-negative-and-fractional/140736: This question is from textbook
3.6*10^15
1 solutions

Answer 102424 by checkley77(12569) About Me  on 2008-05-08 16:15:17 (Show Source):
You can put this solution on YOUR website!
3.6*10^15=3,600,000,000,000,000


Matrices-and-determiminant/140708: SOLVE USING THE SQUARE ROOT PROPERTY:
-2(x-2)^2= -6
HERE I'M CONFUSED ON WHAT ALL TO SQUARE??? DO I SQUARE EVERTHING ON THE RIGHT OR WHAT PLEASE HELP AS SOON AS YOU CAN... TAHNKS
1 solutions

Answer 102423 by checkley77(12569) About Me  on 2008-05-08 16:13:30 (Show Source):
You can put this solution on YOUR website!
-2(x-2)^2=-6
divide both sides by -2
(x-2)^2=-6/-2
(x-2)^2=3
now take the square root of both sides
x-2=sqrt3
x=sqrt3+2
x=1.73+2
x=3.73 answer.


Linear-equations/140726: Please help me in graphing the following equation. -3y + 12x =18
Your assistance in this matter is greatly appreciated. Thank You.
1 solutions

Answer 102421 by checkley77(12569) About Me  on 2008-05-08 15:54:33 (Show Source):
You can put this solution on YOUR website!
-3y+12x=18
-3Y=-12X+18
Y=-12X/-3+18/-3
Y=4X-6
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+4x+-6%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 4x -6).


Matrices-and-determiminant/140728: SOLVE BY COMPETING THE SQUARE:
x^2-6x+12=0
PLEASE HELP... I KNOW HOW TO USE THE QUADRATIC FORMULA... BUT I DO NOT KNOW HOW TO DO THE COMPLETING THE SQUARE...
1 solutions

Answer 102419 by checkley77(12569) About Me  on 2008-05-08 15:51:24 (Show Source):
You can put this solution on YOUR website!
x^2-6x+12=0
FIRST REMIOVE THE 12 OVER TO THE RIGHT SIDE OF THE = SIGN.
X^2-6X=12
NOW CALCULATE THE NUMBER TO COMPLETE THE SQUARE.
(6/2)^2=3^2=9 WHICH IS THE MISSING TERM THAT MUST BE ADDED TO EACH SIDE OF THE EQUATION
X^2-6X+9=12+9
(X-3)^2=21
TAKE THE SQUARE ROOT OF BOTH SIDES
X-3=SQRT21
ADD 3 TO BOTH SIDES
X=SQRT21+3
X=4.58+3
X=7.58 ANSWER.


Expressions-with-variables/140661: Write the algebraic expression that coresponds to five times the difference of a number and 12.________________.
1 solutions

Answer 102387 by checkley77(12569) About Me  on 2008-05-08 08:25:19 (Show Source):
You can put this solution on YOUR website!
5(x-12) answer.


Linear-equations/140674: I need some assistance, please show me how to graph this equation.
4x-1=3x+15
This is the formula that I came up with in answer to a word problem. I worked it out and came up with x=16. I then graphed it as a strait line by coming up with various points for y. The problem was sent back as needing to be revised. The equation and answer was fine. This is the comment they made:
The algebraic solution is correct.
To solve the equation graphically, notice that it is made up of two functions, y=4x-1 and y=3x+15.
The solution is at the intersection of these two lines.
Be sure to show the intersection on the graph.
Can anyone tell me how to do this, there are more problems like this coming up and I want to get them right the first time.
1 solutions

Answer 102386 by checkley77(12569) About Me  on 2008-05-08 08:23:42 (Show Source):
You can put this solution on YOUR website!
The proper equations for these 2 lines are;
y=4x-1 (red line)
y=3x+15 (green line)
+graph%28+300%2C+200%2C+-6%2C+25%2C+-10%2C+80%2C+4x+-1%2C+3x+%2B15%29+ (graph 300x200 pixels, x from -6 to 25, y from -10 to 80, of TWO functions 4x -1 and 3x +15).
ANSWER (16,63)


Graphs/140678: Graph the Function y = x2+2/x-1
1 solutions

Answer 102385 by checkley77(12569) About Me  on 2008-05-08 08:15:15 (Show Source):
You can put this solution on YOUR website!
y=x2+2/x-1
+graph%28+300%2C+200%2C+-6%2C+5%2C+-20%2C+20%2C+x%5E2+%2B2%2Fx+%2B1%29+ (graph 300x200 pixels, x from -6 to 5, y from -20 to 20, x^2 +2/x +1).


Linear_Equations_And_Systems_Word_Problems/140675: I need assistance with an equation. Any help would be appreciated.
The equation C= 2.50x +300, the equation represents the total cost to run Johnny's Pizza place for a day. C symbolizes the total cost to open the pizza place, and x stands for the number of pizzas sold. I need to find the y-intercept of this graph and graph the equation.
1 solutions

Answer 102384 by checkley77(12569) About Me  on 2008-05-08 08:12:37 (Show Source):
You can put this solution on YOUR website!
C=2.50x+300
+graph%28+300%2C+300%2C+-180%2C+5%2C+-10%2C+330%2C+2.5x+%2B300%29+ (graph 300x300 pixels, x from -180 to 5, y from -10 to 330, 2.5x +300).


Quadratic_Equations/140676: I need to solve 5x+4y=12 for y. I have tried 5-5x+4y=12-5 4y/4=7/4
From there I'm stuck and I not sure if that is even right because I don't know how to check my work for this type of equation. Thanks, Julie.
1 solutions

Answer 102383 by checkley77(12569) About Me  on 2008-05-08 08:08:23 (Show Source):
You can put this solution on YOUR website!
QUESTION? WHY DID YOU DROP THE X TERM?
---------------------------------------------------
5-5x+4y=12 SUBTRACT 5 & ADD 5X
4Y=5X+12-5 COMBINE THE INTEGERS
4Y=5X+7 DIVIDE BY 4
Y=5X/4+7/4 ANSWER.


Mixture_Word_Problems/140580: How much pure water must be mixed with 9 pints of %60 developer to produce a mixture that is %19 developer?
1 solutions

Answer 102382 by checkley77(12569) About Me  on 2008-05-08 07:58:58 (Show Source):
You can put this solution on YOUR website!
9*.6+X=.19(X+9)
.54+X=.19X+1.71
X+.19X=1.71-.54
.81X=1.17
X=1.17/.81
X=1.4444 PINTS OF WATER SHOULD BE ADDED.
PROOF:
.54+1.444=.19(9+1.444)
1.984=.19*10.444
1.984=1.984


Mixture_Word_Problems/140581: How much pure water must be mixed with 9 pints of %60 developer to produce a mixture that is %19 developer?
1 solutions

Answer 102381 by checkley77(12569) About Me  on 2008-05-08 07:57:45 (Show Source):
You can put this solution on YOUR website!
9*.6+X=.19(X+9)
.54+X=.19X+1.71
X+.19X=1.71-.54
.81X=1.17
X=1.17/.81
X=1.4444 PINTS OF WATER SHOULD BE ADDED.
PROOF:
.54+1.444=.19(9+1.444)
1.984=.19*10.444
1.984=1.984


Equations/140620: how do u find the perimeter of a triangle with the angles of 12cm ,18cm, 19cm and a height of 12cm
1 solutions

Answer 102380 by checkley77(12569) About Me  on 2008-05-08 07:49:52 (Show Source):
You can put this solution on YOUR website!
PROBLEM: angles are not masured in cm. They are measured in degrees.
REDEFINE & RESUBMIT.


Equations/140647: Tutor can you help me with the following math problem?
Find the exact solutions to 5x^2+17x+6=0
1 solutions

Answer 102379 by checkley77(12569) About Me  on 2008-05-08 07:45:40 (Show Source):
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5x^2+17x+6=0
(5x+2)(x+3)=0
5x+2=0
5x=-2
x=-2/5
x=-.4 answer.
x+3=0
x=-3 answer.


Expressions-with-variables/140666: Evaluate cd(d to the 2nd power - c) if d = -1 and c=2
1 solutions

Answer 102376 by checkley77(12569) About Me  on 2008-05-08 07:40:31 (Show Source):
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d=-1 & c=2
cd(d^2)-c
2*-1(-1)^2-2
-2*1-2
-2-2=-4 answer.


Expressions-with-variables/140667: Perform the indicated operations.
Simplify: -3 to the 2nd power + (-2) to the second power.
1 solutions

Answer 102374 by checkley77(12569) About Me  on 2008-05-08 07:36:43 (Show Source):
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-3^2+(-2)^2
9+(4)=13 answer.


Graphs/140570: Sketch the graph of the function- y= 3/x+2 +4
1 solutions

Answer 102319 by checkley77(12569) About Me  on 2008-05-07 18:34:11 (Show Source):
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Y=3/(X+2)+4
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3%2F%28x%2B2%29+%2B4%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3/(x+2) +4).


Square-cubic-other-roots/140577: This question is from textbook Intermiate Algebra
What is the square root of .0001, x^16, 38, 121, and 4/81?
1 solutions

Answer 102317 by checkley77(12569) About Me  on 2008-05-07 18:31:14 (Show Source):
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SQRT(.0001)=.01 ANSWER.
SQRT(x^16)=X^8 ANSWER.
SQRT(38)=6.16 ANSWER.
SQRT(121)=11 ANSWER.
SQRT(4/81)=2/9 ANSWER.


Radicals/140520: a right triangle has sides of 5 in and 5 in . Find the hypotenuse
1 solutions

Answer 102316 by checkley77(12569) About Me  on 2008-05-07 18:27:28 (Show Source):
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5^2+5^2=H^2
25+25=H^2
H^2=50
H=SQRT50
H=7.07 ANSWER FOR THE HYPOTENUSE.


Radicals/140522: The hypotenuse of a right triangle is 70 ft and one leg is 25 ft. Find the length of the other side.
1 solutions

Answer 102315 by checkley77(12569) About Me  on 2008-05-07 18:25:54 (Show Source):
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X^2+25^2=70^2
X^2+625=4900
X^2=4900-625
X^2=4275
X=SQRT4275
X=65.38 ANSWER.