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Linear-systems/369589: Find the x-intercept of the graph of the equation: x + 6y = 7
Find the x-intercept of the graph of the equation: 4x + y = 3

1 solutions

Answer 263444 by Fombitz(13828) About Me  on 2010-11-11 15:56:44 (Show Source):
You can put this solution on YOUR website!
To find the x-intercept, set y=0 and solve for x.
x+%2B+6y+=+7
x%2B0=7
x=7
(7,0)
.
.
.
To find the x-intercept, set y=0 and solve for x.
4x+%2B+y+=+3
4x+=+3
x=3%2F4
(3%2F4,0)


Reduction-of-unit-multipliers/369680: what is the root of the equation: x to the 2nd - 4x = -3?
1 solutions

Answer 263442 by Fombitz(13828) About Me  on 2010-11-11 15:52:48 (Show Source):


Reduction-of-unit-multipliers/369682: Use four unit multipliers to convert 36 square yards to square inches
1 solutions

Answer 263441 by Fombitz(13828) About Me  on 2010-11-11 15:50:36 (Show Source):
You can put this solution on YOUR website!
Four but you only need one.
1 yard=12 inches
(1 yd)^2=(12 inches)^2
1 sq.yd=144 sq.inches
36%2A%28144%2F1%29=5184sq.inches


Reduction-of-unit-multipliers/369684: 20% of what number is 18?
1 solutions

Answer 263440 by Fombitz(13828) About Me  on 2010-11-11 15:48:39 (Show Source):


Reduction-of-unit-multipliers/369689: what percent of 8300 is 996?
1 solutions

Answer 263439 by Fombitz(13828) About Me  on 2010-11-11 15:48:05 (Show Source):
You can put this solution on YOUR website!
996%2F8300=X%2F100
X=99600%2F8300
Time to get out the calculator for the final answer.


Linear-equations/369653: how do i solves for the parallel line of y=2/3x-3 that passes through (-6,-1)
1 solutions

Answer 263431 by Fombitz(13828) About Me  on 2010-11-11 15:37:51 (Show Source):
You can put this solution on YOUR website!
Parallel lines have identical slopes.
m%5B1%5D=m%5B2%5D=2%2F3
.
.
y=%282%2F3%29x%2Bb
.
.
Use the point (-6,-1) to solve for b
-1=%282%2F3%29%28-6%29%2Bb
-1=-4%2Bb
b=3
.
.
.
highlight%28y=%282%2F3%29x%2B3%29


test/369663: Your question goes here. Write clearly! We are not mind readers, so be sure to ask a question that we can understand.
1 solutions

Answer 263429 by Fombitz(13828) About Me  on 2010-11-11 15:34:41 (Show Source):
You can put this solution on YOUR website!
Please re-post.


Linear-systems/369675: how would you write this in basic form (y= mx+b)
y = 5 - 3x

1 solutions

Answer 263427 by Fombitz(13828) About Me  on 2010-11-11 15:33:57 (Show Source):
You can put this solution on YOUR website!
Just re-arrange it.
+y+=+5+-+3x
highlight%28y+=+-3x%2B5%29


Numbers_Word_Problems/369665: The product of two numbers is 442. The sum of the two numbers is 43. Find the two numbers.
1 solutions

Answer 263426 by Fombitz(13828) About Me  on 2010-11-11 15:32:53 (Show Source):
You can put this solution on YOUR website!
1.A%2AB=442
2.A%2BB=43
From eq. 2,
A=43-B
Substitute into eq. 1,
%2843-B%29B=442
-B%5E2%2B43B=442
B%5E2-43B%2B442=0
Factor,
%28B-26%29%28B-17%29=0
Two solutions:
B-26=0
B=26.
.
.
.
B-17=0
B=17
Then,
A=43-B=26
B=17
.
.
A=43-B=17
B=26
The two numbers are 17 and 26.


Graphs/369668: Can someone please show me the steps to solving the system x+y=20 and x-y=28, using the substitution method? Thank you!
1 solutions

Answer 263425 by Fombitz(13828) About Me  on 2010-11-11 15:29:03 (Show Source):
You can put this solution on YOUR website!
1.x%2By=20
2.x-y=28
From eq. 1,
x=20-y
Substitute into eq. 2,
%2820-y%29-y=28
20-2y=28
-2y=8
highlight%28y=-4%29
Then from eq. 1,
x-4=20
highlight%28x=24%29


logarithm/369671: Using the power law solve the folowing to the nearest hundredth.
+2%5E%28x%2B2%29+=+5%5E%28x-1%29+
I can get the problem so far and then I get confused as to what I should do next.
+log2%5E%28x%2B2%29+=+log5%5E%28x-1%29+
(x+2)log2 = (x-1)log5
xlog2 + 2log2 = xlog5 - log5
xlog2 -xlog5 = -log5 - 2log2
x(log2/5) =
And now I am stuck, if anyone could help me wth what to do next, it would be greatly appreciated.
Thanks
1 solutions

Answer 263422 by Fombitz(13828) About Me  on 2010-11-11 15:27:08 (Show Source):


Probability-and-statistics/369672: The probability that a fisherman catches a tuna in any one trip is 0.15
What is the probability, (3 decimals) that he catches a tuna on:
At least one of three excursions? (The answer is .386, but how?)




1 solutions

Answer 263420 by Fombitz(13828) About Me  on 2010-11-11 15:23:49 (Show Source):
You can put this solution on YOUR website!
Look at all of the possible outcomes for 3 excursions-C is catches, D is doesn't catch.
There are 2%5E3 possible outcomes.
CCC
CCD
CDC
CDD
DCC
DCD
DDC
DDD
Only one outcomes has him not catching at least one, DDD
P%28D%29=1-0.15=0.85
P%28DDD%29=%280.85%29%280.85%29%280.85%29=0.614125
P(DDD)+P(at least 1 C)=1
P(at least 1 C)=1-P%28DDD%29
P(at least 1 C)=1-0.614125
P(at least 1 C)=highlight%280.385875%29


test/369641: Find the special product.
(9r^3 + 2s)(9r^3 - 2s)
1 solutions

Answer 263404 by Fombitz(13828) About Me  on 2010-11-11 14:20:49 (Show Source):
You can put this solution on YOUR website!
How is a special product different from just the product??


Complex_Numbers/369636: x^6-7x^3-8 In need to factor completely and find all the zeros
Can I seperate the-8 from the rest and factor out x^3 to get x^3(x^3-7)= 8
or should i be using synthetic division?

1 solutions

Answer 263402 by Fombitz(13828) About Me  on 2010-11-11 14:18:17 (Show Source):
You can put this solution on YOUR website!
Your best bet is use a substitution and the quadratic formula.
Let u=x%5E3, then u%5E2=x%5E6, then solve
u%5E2-7u-8=0
Once you find u substitute back to x.


test/369637: Multiply using the FOIL method.
(7 - 9t)(1 + 6t)
1 solutions

Answer 263401 by Fombitz(13828) About Me  on 2010-11-11 14:14:15 (Show Source):


test/369633: Multiplying Polynomials
Find the Product.
(x+1/7)^3
1 solutions

Answer 263400 by Fombitz(13828) About Me  on 2010-11-11 14:12:12 (Show Source):


Travel_Word_Problems/369542: If a truck traveled 5 miles in 323 seconds, how fast is he moving.
1 solutions

Answer 263398 by Fombitz(13828) About Me  on 2010-11-11 14:08:16 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
R%2At=D
R=D%2Ft=5%2F323miles/second


Graphs/369630: y=7x=8
1 solutions

Answer 263397 by Fombitz(13828) About Me  on 2010-11-11 14:07:04 (Show Source):
You can put this solution on YOUR website!
Correct your equation.
Only one "=" sign allowed.


Travel_Word_Problems/369626: A car leaves town A going toward B at 50 miles per hour. At the same time, another car leaves B going toward A at 55 miles per hour. How long will it be before the two cars meet if the distance from A to B is 630 miles?

1 solutions

Answer 263396 by Fombitz(13828) About Me  on 2010-11-11 14:06:31 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
.
.
.
D%5B1%5D=50%2At
D%5B2%5D=55%2At
Find t when D%5B1%5D%2BD%5B2%5D=630
D%5B1%5D%2BD%5B2%5D=630
50t%2B55t=630
105t=630
highlight%28t=6%29hrs


Linear-systems/369621: Find the y-intercept of the graph of the equation: y - 3x = 4
Find the x-intercept of the graph of the equation: x + 6y = 7

1 solutions

Answer 263395 by Fombitz(13828) About Me  on 2010-11-11 14:04:37 (Show Source):
You can put this solution on YOUR website!
To find the x-intercept, set y=0 and solve for x.
x+%2B+6y+=+7
x%2B0=7
x=7
(7,0)
.
.
.
To find the y-intercept, set x=0 and solve for y.
y+-+3x+=+4
y-0=4
y=4
(0,4)


Complex_Numbers/369627: How can I put (3+2i)(x-i) into a_bi form?
1 solutions

Answer 263394 by Fombitz(13828) About Me  on 2010-11-11 14:02:44 (Show Source):
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Use the FOIL Method,
+%283%2B2i%29%28x-i%29=3x-3i%2B2ix-2i%5E2
+%283%2B2i%29%28x-i%29=%283x%2B2%29%2B%282x-3%29i


Permutations/369622: A test consists of 10 true-or-false questions. If a student randomly chooses answers for each question, find the probability that the student:
Answers at least 1 question correctly. (3 decimals)
I got 2^10 = 1,024
I did this way, but does not work, very close...
C(10,1)/1024 =
10/1024 = .00976
The answer is 0.999 but how?


1 solutions

Answer 263393 by Fombitz(13828) About Me  on 2010-11-11 14:01:14 (Show Source):
You can put this solution on YOUR website!
Find the probability that the student answers none correctly.
P(none)+P(not none)=1
P(not none)=1-P(none)
So "not none" means he answer at least one correctly... up to and including all 10 correctly
.
.
.
P(none)=%280.5%29%5E10=0.0009765625
P(not none)=1-0.0009765625
P(not none)=0.9990234


Coordinate-system/369623: Find the equation of the line that contains the point (4, 5) and is perpendicular to the line y = 5/4x − 3
1 solutions

Answer 263392 by Fombitz(13828) About Me  on 2010-11-11 13:57:19 (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals.
m%5B1%5D%2Am%5B2%5D=-1
%285%2F4%29%2Am%5B2%5D=-1
m%5B2%5D=-4%2F5
Use the slope-intercept form,
y=-%284%2F5%29x%2Bb
Use the point (4,5) to determine b
5=-%284%2F5%29%284%29%2Bb
5=-16%2F5%2Bb
b=25%2F5%2B16%2F5
b=41%2F5
.
.
highlight%28y=-%284%2F5%29x%2B41%2F5%29
.
.
.


Age_Word_Problems/369533: Three brothers have ages that are consecutive odd integers. The difference between the age of the oldest and twice the age of the youngest is twenty-four less than the middle brother’s age. Find their ages.
1 solutions

Answer 263391 by Fombitz(13828) About Me  on 2010-11-11 13:43:00 (Show Source):
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N, N%2B2, and N%2B4 are the ages.
%28N%2B4%29-%282N%29=%28N%2B2%29-24
4-N=N-22
2N=26
N=13
The brothers are 13, 15, and 17 years old.


Money_Word_Problems/369607: Sam is a salesman. He receives a base salary of $65,000 per year. In addition, he receives 7% of his sales amount for the year.
What are the sales amounts that will allow him to earn more than $75,500 in a year?
Use for the sales amount (in dollars), and solve your inequality for .
1 solutions

Answer 263390 by Fombitz(13828) About Me  on 2010-11-11 13:40:59 (Show Source):


Mixture_Word_Problems/369618: How many Kg of a 35% copper alloy must be added to 62 Kg of a 75% copper alloy to give you a 50% copper alloy?
1 solutions

Answer 263389 by Fombitz(13828) About Me  on 2010-11-11 13:39:26 (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 35% copper alloy.
35A%2B75%2862%29=50%28A%2B62%29
35A%2B4650=50A%2B+3100
15A=1550
highlight%28A=310%2F3%29kg


Coordinate-system/369619: Find the equation of the line containing the point whose coordinates are
(4, 3) and parallel to the graph of 5x + y = −4.
1 solutions

Answer 263388 by Fombitz(13828) About Me  on 2010-11-11 13:37:39 (Show Source):
You can put this solution on YOUR website!
A parallel line would have the same left hand side as the given equation with a different right hand side.
Use the point (4,3) to determine the new right hand side.
5x%2By=5%284%29%2B3=20%2B3=23
highlight%285x%2By=23%29
.
.
.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C0%2C4-5x%2C23-5x%29


Rational-functions/369593: FIND THE DOMAIN OF THE FUNCTION
f(x)= 4/ square root of x - 9
"f(x) equals 4 divided by the square root of x - 9"
The answer is x > 9.
But I keep getting the answer- x is greater than OR EQUAL to 9.
What am i doing wrong?? HELP PLEASE.
1 solutions

Answer 263387 by Fombitz(13828) About Me  on 2010-11-11 13:34:19 (Show Source):
You can put this solution on YOUR website!
The domain of the function is all the x values for which f%28x%29 is defined.
The square root function is defined as long as the argument is not negative.
x-9%3E=0
x%3E=9
Division by zero is also undefined so the x value when the denominator equals zero is not in the domain.
x-9=0
x=9
.
.
.
So both of those must hold: x must be greater than or equal to 9 and x cannot equal 9, so that leaves that x%3E9
.
.
.
Domain:x%3E9 or in interval notation, (9,infinity)
.
.
.
graph%28300%2C300%2C-2%2C18%2C-10%2C10%2C0%2C4%2Fsqrt%28x-9%29%29


Money_Word_Problems/369617: Jim has gotten scores of 77 and 77 on his first two tests. What score must he get on his third test to keep an
average of 80 or greater?
1 solutions

Answer 263386 by Fombitz(13828) About Me  on 2010-11-11 13:28:49 (Show Source):


Money_Word_Problems/369601: The interest on an investment varis directly as the rate of interest. If the interest is $48 when the interest rate is 5%, find the interest when the rate is 4.2%.My math book doesn't give any examples on how to solve these kinds of word problems.
1 solutions

Answer 263384 by Fombitz(13828) About Me  on 2010-11-11 13:27:48 (Show Source):
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48 is to 5% as X is to 4.2%
.
.
48%2F5=X%2F4.2
X=%284.2%2F5%29%2848%29
highlight%28X=40.32%29


Triangles/369598: If AB = 3 centimeters, and BC = 4 centimeters, which does AC equal?

1 solutions

Answer 263382 by Fombitz(13828) About Me  on 2010-11-11 13:25:27 (Show Source):
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Is ABC a right triangle??