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Recent problems solved by 'saltzy57'

saltzy57 answered: 8 problems

Linear-equations/48796: Given the equation 3x-12y=24 Find the x-axis intercept ( , ) and the y-axis intercept ( , ) of the line through the points.
1 solutions

Answer 32310 by saltzy57(8) on 2006-08-11 14:29:20 (Show Source):

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Y intercept form....Y=mX+b
Now rewrite your equation in Y intercept form
12y=3x-24....solve for y...
y=3/12(x)-2 simplify
y=1/4*x -2
for Y axis intercept, let x=0...Y=-2
for X axis intercept ley Y=0... X=8

Exponents/48798: Factor completely

21x^2 + 33x + 12

Thank You!!!
1 solutions

Answer 32309 by saltzy57(8) on 2006-08-11 14:23:07 (Show Source):

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first we have to find the common multiple of the coefficient 21,33,and 12...answer =3
Now we rewrite the problem like this
3* (7x^2+11x+4)...
can be rewritten as follows:
3*(7x+4)*(X+1)
Good Luck and fun!
mike

Miscellaneous_Word_Problems/46753: REPOST: Height of a post. Betty observed that the lamp post in front of her house casts a shadow of length 8 feet when the angle of inclination of the sun is 60 degrees. How tall is the lamp post? (In a 30-60-90 right triangle, the side opposite 30 is one-half the length of the hypotenuse.)
1 solutions

Answer 30981 by saltzy57(8) on 2006-07-21 14:03:54 (Show Source):

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Remember Pythagorean Theorem
a^2 + b^2 = c^2
side a = 8
side b = 1/2 side c
side c = hypotenuese
8^2 + 1/2*c^2 = c^2
64=1/2 c^2
128= c^2
c=sqrt (128)
b= 1/2 sqrt (128)
good luck

Linear_Equations_And_Systems_Word_Problems/46783: A bike leaves @ 8:00 am traveling at 10 mph. A car leaves, heading in the same direction @ 11:00 am traveling at 50 mph. How many minutes after 11:00 will the car overpass the bike. The computer program gives the answer of 45 minutes, but I can't figure out how? Thanks!
1 solutions

Answer 30977 by saltzy57(8) on 2006-07-21 13:36:21 (Show Source):

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ok after 3 hrs, the bike will have travelled 30 miles and now the car starts at 50 mph...we can write this equation as:
30 + 10x = 50x solving for x
x= 3/4 of an hour or 45 mins

Equations/46419: This question is from textbook
solve find the slope and y-intercept 3x+7y-4?
1 solutions

Answer 30775 by saltzy57(8) on 2006-07-18 12:22:35 (Show Source):

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First rewrite the equation in slope intercept form
Y=mx +b
7y=-3x+4 solve for y by dividing both sides of equation by 7
y= -3/7x+4/7

Equations/46418: solve a number ifs halved and the outcome then increased by nine. The result is 63. What is the original number?
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Answer 30774 by saltzy57(8) on 2006-07-18 12:19:09 (Show Source):

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Let X = the number we trying to find, to halve a number we divide by 2 and then we add 9 the result = 63.
x/2 + 9 = 63
x/2 = 63-9
x/2 = 54 multiply both sides by 2
x = 108
original number is equal to 108

Miscellaneous_Word_Problems/46398: Sally brought three chocolate bars and a pack of gum and paid $1.75. Jake brought two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost of a pack of gum?
Thank you. I have gotten so far as x = chocolate bar and y = gum.
1 solutions

Answer 30773 by saltzy57(8) on 2006-07-18 12:05:05 (Show Source):

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3x + 1y =1.75
2x + 4y =2.00
To find the cost of the choclate bar we must eliminate the gum from our equation.
One way to do that is to Multiply the first equation by 4 and substract the two equations
4(3x+Y)= 1.75
12x +4y = 7.00 now substract the 2nd equation from first
- 2x +4y = 2.00 you get the following equation
10x= 5.00 solve for x by dividing both sides by 10
x=.50
solve for y by plugging in value for x in either equation.
2*(.5) + 4*y = 2.00
1.00+4y=2.00
4y=1.00
y=.25

Rational-functions/46414: I am having problems trying to get the answer to the following:
(2x*3x)/((x^2-9)*(x^2+4x+3))
Please advise the steps to solve this Rational Expression to the lowest common dinominator (LCD).
Thank you,
Vic
1 solutions

Answer 30769 by saltzy57(8) on 2006-07-18 11:43:09 (Show Source):

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2x*3x=6x^2 this is the numerator
(X^2-9) can be rewritten as (x+3)*(x-3)
(X^2+4x+3) can be rewritten as (x+3)*(x+1)
put it all together
6x^2/(x+3)*(x-3)*(x+3)*(x+1)
Combine the two (X+3) expressions and you get answer
6x^2/(x+3)^2 * (x-3)*(x+1)

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Recent problems solved by 'saltzy57'