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Functions/64272: The cost of producing a number of items x is given by
C = mx = b, in which b is the fixed cost and m is the variable cost (the cost of
producing one more item).
(a) If the fixed cost is $40 and the variable cost is $10, write the cost equation.
(b) Graph the cost equation.
1 solutions
Answer 44915 by funmath(2925)   on 2006-12-07 20:56:19 (Show Source):
You can put this solution on YOUR website!The cost of producing a number of items x is given by
C = mx + b, in which b is the fixed cost and m is the variable cost (the cost of
producing one more item).
(a) If the fixed cost is $40 and the variable cost is $10, write the cost equation.
b=40 and m=10
C(x)=10x+40
:
(b) Graph the cost equation.
Happy Calculating!!!!
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Linear-systems/64243: IS THIS A PERPENDICULAR LINE, PARALLEL LINE, OR NEITHER OF THOSE TWO LINES. X=2, Y=9
1 solutions
Answer 44912 by funmath(2925) on 2006-12-07 20:40:43 (Show Source):
You can put this solution on YOUR website!IS THIS A PERPENDICULAR LINE, PARALLEL LINE, OR NEITHER OF THOSE TWO LINES. X=2, Y=9
x=2 is a vertical line going through (2,0) its slope is undefined.
y=9 is a horizontal line going through (0,9) its slope is 0.
Vertical and horizontal lines are PERPENDICULAR to each other, they meet at a 90 degree angle.
Happy Calculating!!!
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Functions/64263: write the function form of 4x-2y=18
1 solutions
Answer 44911 by funmath(2925) on 2006-12-07 20:35:02 (Show Source):
You can put this solution on YOUR website!write the function form of 4x-2y=18
-4x+4x-2y=-4x+18
0-2y=-4x+18
-2y=-4x+18
-2y/-2=-4x/-2+18/-2
y=2x-9 <--in some books this is enough, in others, they replace y with f(x)
f(x)=2x-9
I hope one of these is what your book wants.
Happy Calculating!!!
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Graphs/64227: Please help
1.) The graph of -4x+2y=6 crosses the x-axis when x = ?
2.) Find the center and the radius from the equation of the circle in standard form (x-5)^2+(y+3)^2
3.) The formula for the area of a triangle is A=1/2bh. If a=20 and h=b-6, then what does b= ?
4. The solution set of the equation 4/x+2-2/x-4=-6/x^2-2x-8 is ?
Thank you!!
1 solutions
Answer 44897 by funmath(2925) on 2006-12-07 16:27:32 (Show Source):
You can put this solution on YOUR website!1.) The graph of -4x+2y=6 crosses the x-axis when x = ?
Let y=0 and solve for x to find this:
-4x+2(0)=6
-4x+0=6
-4x/-4=6/-4
2.) Find the center and the radius from the equation of the circle in standard form (x-5)^2+(y+3)^2
Standard form of a circle is:  , where (h,k)=center, and  =radius.
You forgot to include the =r^2 part so I can't tell you what the radius is, but the center (h,k)=(5,-3)
:
3.) The formula for the area of a triangle is A=1/2bh. If A=20 and h=b-6, then what does b= ?
20=(1/2)b(b-6)
2(20)=2(1/2)b(b-6)
40=b(b-6)
40=b^2-6b
40-40=b^2-6b-40
0=b^2-6b-40
0=(b-10)(b+4)
b-10=0 or b+4=0
b-10+10=0+10 or b+4-4=0-4
b=10 or b=-4
Since you can't have a negative dimension, we ignore -4 and say that  .
:
4. The solution set of the equation  is ?
 The LCD is (x+2)(x-4), multiply evertyhing by the LCD to clear your fractions.
Double check to make sure that the equation is defined at x=7 (it is), because you can get extraneous solutions with rational equations. If the solution had of been x=-2 or x=4, we would have had to reject it because it would have made one of the fractions undefined.
Happy Calculating!!!!
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Graphs/64032: what is the point slope form of (0,2)(-4,2). also i need that point slope form to be turned into slope intercept form, and standard form. thanks. HOckeyk41.
1 solutions
Answer 44748 by funmath(2925) on 2006-12-06 09:38:29 (Show Source):
You can put this solution on YOUR website!Hi HOckey41,
what is the point slope form of (0,2)(-4,2). also i need that point slope form to be turned into slope intercept form, and standard form.
In order to put these points in point slope form, we need to find the slope between the points.
To find the slope between two points, use the slope formula:  , m=slope, (x1,y1) and (x2,y2) are the given points.
(x1,y1)=(0,2) and (x2,y2)=(-4,2)
m=0
This is a special case, if the slope is 0, you have a horizontal line: Notice that the y's are the same in both points. If you draw a line through the two points, you will see that the line is horizontal. The equation for a horizontal line is y=k, where k is a constant. This equation is y=2. If we try to write it in point slope form y-y1=m(x-x1), where m=slope, and (x1,y1) is a given point:
y-2=0(x-0)
If we try to write it in slope intercept form y=mx+b, where m=slope, and (0,b)=y-intercept:
y=0x+2
If we want it in standard form Ax+By=C.
y=0x+2
y=0+2
y=2 Is the best we can do.
Happy Calculating!!!
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Square-cubic-other-roots/64101: Rationalize the denominator: 2/((square root of)2 - 1)
a) 2/((square root of)2 + 1)
b) (square root of)2 - 1
c) 2(square root of)2 + 1
d) (square root of)2 + 1
e) none of these
1 solutions
Answer 44742 by funmath(2925) on 2006-12-06 09:23:45 (Show Source):
You can put this solution on YOUR website!Rationalize the denominator: 
a) 
b) 
c) 
d) 
e) none of these
The answer is either none of these or one of these answers could be:
 Is another look to the answer with 2 factored out.
Happy Calculating!!!
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Square-cubic-other-roots/64100: Combine and Simplify: 2(square root of)18 - (square root of)27 + (square root of)32
a) 13(square root of)6
b) 10(square root of)2 - 3(square root of)3
c) 7(square root of)6
d) 10(square root of)6 + (square root of)3
e) none of these
1 solutions
Answer 44738 by funmath(2925) on 2006-12-06 08:49:00 (Show Source):
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Functions/64049: 3x + 4y = 12 (0, ),( ,3/4),( ,0),(8/3, )
1 solutions
Answer 44735 by funmath(2925) on 2006-12-06 08:32:50 (Show Source):
You can put this solution on YOUR website!3x + 4y = 12 (0, ),( ,3/4),( ,0),(8/3, )
Ordered pairs are in this order (x,y)
For (0, ), let x=0 and solve for y.
3(0)+4y=12
0+4y=12
4y=12
4y/4=12/4
y=3
Therefore, (x,y)=(0,3)
:
For ( ,3/4), let y=3/4 and solve for x.
3x+4(3/4)=12
3x+12/4=12
3x+3=12
3x+3-3=12-3
3x=9
3x/3=9/3
x=3
Therefore, (x,y)=(3,3/4)
:
For ( ,0), let y=0 and solve for x.
3x+4(0)=12
3x+0=12
3x=12
3x/3=12/3
x=4
Therefore, (x,y)=(4,0)
:
For (8/3, ), let x=8/3 and solve for y.
3(8/3)+4y=12
24/3+4y=12
8+4y=12
8-8+4y=12-8
4y=4
4y/4=4/4
y=1
Therefore, (x,y)=(8/3,1)
Happy Calculating!!!
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Radicals/64096: The square root of U to the 3rd power divided by the cubed root of U?
1 solutions
Answer 44733 by funmath(2925) on 2006-12-06 08:16:28 (Show Source):
You can put this solution on YOUR website!The square root of U to the 3rd power divided by the cubed root of U?
Rewrite using fractional exponents. The powers are the numerators (top) and the indexes are the denominators.
 subtract the exponents when dividing.
Which is also the sixth root of U to the seventh power.
Happy Calculating!!!
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Polynomials-and-rational-expressions/64084: Factor the polynomial by grouping the first two terms and the last two terms:
x^3 4x^2 + 2x - 8
1 solutions
Answer 44728 by funmath(2925) on 2006-12-06 06:36:17 (Show Source):
You can put this solution on YOUR website!Factor the polynomial by grouping the first two terms and the last two terms:
x^3 4x^2 + 2x - 8
 Factor out the GCF out of each parentheses.
x^2(x-4) and 2(x-4) both have a (x-4). Factor out the GCF x-4. When you do this  and  , so you have:
Happy Calculating!!!
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Quadratic_Equations/64085: Solve the following quadratic equation:
4x^2 = 13x + 12
1 solutions
Answer 44727 by funmath(2925) on 2006-12-06 06:31:16 (Show Source):
You can put this solution on YOUR website!Solve the following quadratic equation:
4x^2 = 13x + 12
 set =0
 factor using your favorite method.
 I'm using the ac or grouping method.
 set each parentheses =0 and solve for x.
x-4=0 or 4x+3=0
x-4+4=0+4 or 4x+3-3=0-3
x=4 or 4x=-3
x=4 or 4x/4=-3/4
x=4 or x=-3/4
Happy Calculating!!!
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Polynomials-and-rational-expressions/64087: Rewrite the middle term as the sum of two terms and then factor completely.
4z^3 - 18z^2 10z
1 solutions
Answer 44725 by funmath(2925) on 2006-12-06 06:17:11 (Show Source):
You can put this solution on YOUR website!Rewrite the middle term as the sum of two terms and then factor completely.
4z^3 - 18z^2 10z First factor out the GCF 2z
a=2, b=-9, c=-5
Replace the middle coefficient with two numbers that multiply to get ac, but add to get b.
ac=2(-5)=-10
-10(1)=-10
-10+1=-9
 Group the first two and last two terms.
 Factor out the GCF from each group.
 Factor out the GCF (z-5)
Happy Calculating!!!
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Polynomials-and-rational-expressions/64088: Rewrite the middle term as the sum of two terms and then factor completely.
12w^2 + 19w + 4
1 solutions
Answer 44724 by funmath(2925) on 2006-12-06 06:07:33 (Show Source):
You can put this solution on YOUR website!Rewrite the middle term as the sum of two terms and then factor completely.
12w^2 + 19w + 4
You need to replace the middle coefficient b, with two numbers that multiply to get ac, but add to get b.
a=12, b=19, and c=4
ac=12(4)=48
3*16=48
3+16=19
 Group the first two and the last two terms.
 Factor out the GCF in each parentheses
 Factor out the GCF (4w+1)
Happy Calculating!!!
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Polynomials-and-rational-expressions/64089: Use the ac test to determine if the following trinomial can be factored. Find the values of ma and n for the trinomial so that it can be factored:
x^2 3x + 7
1 solutions
Answer 44723 by funmath(2925) on 2006-12-06 05:59:18 (Show Source):
You can put this solution on YOUR website!The terminology for factoring varies with books and teachers, I am not familiar with your terminology
x^2 3x + 7
a=1, b=-3, and c=7
In order to factor you need to find 2 numbers that multiply to get ac, but add to get b
ac=1(7)=7
There are only two ways to mutiply to get 7:
(1)(7)=7
(-1)(-7)=7
However, if you add them together you don't get b=-3
1+7=8
(-1)+(-7)=-8
This isn't factorable.
Happy Calculating!!!
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Polynomials-and-rational-expressions/64090: Use the ac test to determine if the following trinomial can be factored. Find the values of ma and n for the trinomial so that it can be factored:
x^2 + 2x - 15
1 solutions
Answer 44722 by funmath(2925) on 2006-12-06 05:50:34 (Show Source):
You can put this solution on YOUR website!There is different terminology for factoring depending on your book and teacher, I am not familiar with your terminology.
:
x^2 + 2x - 15
The coefficient of x^2 is a, the coefficient of x is b, and the constant is c.
a=1, b=2, c=-15
ac=(1)(-15)=-15
We need 2 numbers that multiply to get ac=-15 and add to get b=2
5*-3=-15
5+(-3)=2
Therefore, the trinomial factors out to be:
Hope this helped.
Happy Calculating!!!
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Word_Problems_With_Coins/64036: Mike has 7 more nickles than quarters. In all he has $1.25. How man nickles does he have?
I'm stuck again!
1 solutions
Answer 44684 by funmath(2925) on 2006-12-05 21:03:35 (Show Source):
You can put this solution on YOUR website!Mike has 7 more nickles than quarters. In all he has $1.25. How man nickles does he have?
Let the number of quarters be: x
Then the amount of money in quarters: .25x
Then the number of nickels are: x+7
and the amount of money in nickels is: .05(x+7)
The total money is: 1.25
Problem to solve is:
.25x+.05(x+7)=1.25
.25x+.05x+.35=1.25
.30x+.35=1.25
.30x+.35-.35=1.25-.35
.30x=.90
.30x/.30=.90/.30
x=3 <--that's the number of quarters
The number of nickels: x+7=3+7=10
Sanity Check:
If you have 3 quarters and 10 nickels, do you have $1.25?
3(.25)+10(.05)=1.25
.75+.50=1.25
1.25=1.25 Yes!
Happy Calculating!!!
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