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Fombitz answered: 13805 problems
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Complex_Numbers/365403: Simplify (5+i)(-4-8i)and write the answer in standard form?
1 solutions

Answer 260468 by Fombitz(13828) About Me  on 2010-11-02 23:12:50 (Show Source):
You can put this solution on YOUR website!
Use the FOIL Method,
+%285%2Bi%29%28-4-8i%29=-20-40i-4i-8i%5E2
+%285%2Bi%29%28-4-8i%29=-20-44i%2B8
+highlight%28%285%2Bi%29%28-4-8i%29=-12-44i%29


Angles/365399: Each pair of angles is supplementary. Find the measure of each angle:
m(angle)f = 3x + 40 and m(angle) g = 2x + 10
1 solutions

Answer 260466 by Fombitz(13828) About Me  on 2010-11-02 23:10:56 (Show Source):
You can put this solution on YOUR website!
f=3x%2B40
g=2x%2B10
.
.
f%2Bg=180
3x%2B40%2B2x%2B10=180
5x%2B50=180
5x=130
x=26
.
.
f=3%2826%29%2B40=78%2B40=118degrees
g=2%2826%29%2B10=52%2B10=62degrees


Linear-systems/365371: how do you solve the system of equations with these three equations?
x-y+z=8
x+y+z=6
x+y-z=-12
1 solutions

Answer 260465 by Fombitz(13828) About Me  on 2010-11-02 23:09:17 (Show Source):
You can put this solution on YOUR website!
1.x-y%2Bz=8
2.x%2By%2Bz=6
3.x%2By-z=-12
Add eq. 1 and eq. 3,
x-y%2Bz%2Bx%2By-z=8-12
2x=-4
highlight%28x=-2%29
.
.
.
Add eq. 1 and eq. 2,
x-y%2Bz%2Bx%2By%2Bz=8%2B6
2x%2B2z=14
2%28-2%29%2B2z=14
2z=18
highlight%28z=9%29
.
.
.
Then from eq. 2,
x%2By%2Bz=6
-2%2By%2B9=6
highlight%28y=-1%29


Systems-of-equations/365378: Write a system of two equations using x and y to represent the following problem. A chemist is mixing two solutions together.
The chemist wants 100 gallons when complete. He is mixing a 24% solution with a 50% solution to get a 36% solution. How many gallons of each will he use?
1 solutions

Answer 260462 by Fombitz(13828) About Me  on 2010-11-02 23:01:05 (Show Source):
You can put this solution on YOUR website!
Let x be the amount of 24% solution, y the amount of 50% solution.
1.x%2By=100
.
.
.
24x%2B50y=36%28100%29
2.12x%2B25y=1800
Multiply eq. 1 by -12 and add to eq. 2,
-12x-12y%2B12x%2B25y=-1200%2B1800
13y=600
highlight%28y=600%2F13%29gallons
Then from eq. 1,
x%2B600%2F13=100
highlight%28x=700%2F13%29gallons


Equations/365387: Hello, I'm working on some practice problems and checking my work with you. I thought I understood this material and just got a 4 out of 10 on my quiz! Ouch.
Using the rational zero test, I must find all possible rational roots:
3x%5E3+%2B+3x%5E2+-+4x+-+9
First I identified the constant (-9) and the leading coefficient (3) and then I listed the factors of each:
-9: 1, 3, 9
3: 1, 3
Then I divide all factors of the constant by the factors of the leading coefficient:
1%2F1, 1%2F3, 3%2F1, 3%2F3, 9%2F1, 9%2F3
My final answer is 1, 1%2F3, 3, and 9
Thanks in advance for your valuable time! :)
1 solutions

Answer 260459 by Fombitz(13828) About Me  on 2010-11-02 22:57:18 (Show Source):
You can put this solution on YOUR website!
That's 1/2 of the answer, you also need -1,-1%2F3,-3, and -9.


Quadratic_Equations/365126: Find -a + b - c + d if (x - 1/5)(x + 1)(x + 3/7) = ax^3 + bx^2 + cx + d
for all real values of x.
1 solutions

Answer 260371 by Fombitz(13828) About Me  on 2010-11-02 16:33:28 (Show Source):


Linear-equations/365137: how do this equation:1.5,y-intercept:-1
1 solutions

Answer 260370 by Fombitz(13828) About Me  on 2010-11-02 16:28:32 (Show Source):
You can put this solution on YOUR website!
Is 1.5 the slope?
If so, use the slope-intercept form, y=mx%2Bb where m is the slope, b is the intercept.
.
.
.
highlight%28y=1.5x-1%29


Rational-functions/365106: Solving Rational Equations
x/x+3 + 1/x-3 = 1
1 solutions

Answer 260368 by Fombitz(13828) About Me  on 2010-11-02 16:25:20 (Show Source):
You can put this solution on YOUR website!
x%2F%28x%2B3%29+%2B+1%2F%28x-3%29+=+1
Use the common denominator, %28x-3%29%28x%2B3%29
.
.

.
.
%28x%28x-3%29%2B+%28x%2B3%29-+%28x%2B3%29%28x-3%29%29%2F%28%28x%2B3%29%28x-3%29%29=0
.
.
%28x%5E2-3x%2Bx%2B3-x%5E2%2B9%29%2F%28%28x%2B3%29%28x-3%29%29=0
.
.
%28-2x%2B12%29%2F%28%28x%2B3%29%28x-3%29%29=0
.
.
%28-2%28x-6%29%29%2F%28%28x%2B3%29%28x-3%29%29=0
.
.
x-6=0
.
.
highlight%28x=6%29


Square-cubic-other-roots/365100: 3x sq=6
1 solutions

Answer 260366 by Fombitz(13828) About Me  on 2010-11-02 16:20:23 (Show Source):
You can put this solution on YOUR website!
Do you mean sqrt(3x)=6??? If that's not what you meant, please repost.
sqrt%283x%29=6
3x=36
highlight%28x=12%29


Probability-and-statistics/365127: A spinner has 4 equal sectors colored yellow, blue, green, and red. What are the chances of landing on blue after spinning the spinner?
A. 1 B. 1/2 C. 1/3 D. 1/4 E. Depends on spinner’s speed
1 solutions

Answer 260365 by Fombitz(13828) About Me  on 2010-11-02 16:18:49 (Show Source):
You can put this solution on YOUR website!
There are four sections.
The total probability is 1.
For each of the four sections,
P=1%2F4


Trigonometry-basics/365129: Simplify the expression.
a^4b^3c^-2/a^2b^-1c^0

1 solutions

Answer 260364 by Fombitz(13828) About Me  on 2010-11-02 16:17:53 (Show Source):


Expressions-with-variables/365131: What is x^2-9 over 2x-6 multiplied by 5x-15 over x^2+6+9?
1 solutions

Answer 260362 by Fombitz(13828) About Me  on 2010-11-02 16:16:06 (Show Source):


Angles/365133: i dont understand how to add and subtract angles
1 solutions

Answer 260359 by Fombitz(13828) About Me  on 2010-11-02 16:13:10 (Show Source):
You can put this solution on YOUR website!
Do you have an example that you can post??


Bodies-in-space/365123: find the ratio, reduced to lowest terms, of the volume of a sphere with a radius of 3 inches to the volume of a sphere with a radius of 8 inches
1 solutions

Answer 260348 by Fombitz(13828) About Me  on 2010-11-02 15:42:23 (Show Source):


Expressions-with-variables/365124: can you factor 4x^4+4x^3-35 and show your work please?
1 solutions

Answer 260347 by Fombitz(13828) About Me  on 2010-11-02 15:39:44 (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-3%2C3%2C-3%2C3%2C4x%5E4%2B4x%5E3-35%29
.
.
.
This equation can't be factored.


Radicals/365114: solve (x+3)(x-16)(x+2)>0 The solution set is {x ⎹ }
1 solutions

Answer 260345 by Fombitz(13828) About Me  on 2010-11-02 15:37:30 (Show Source):
You can put this solution on YOUR website!
Break up the number line into 4 regions using the critical points of the function.
Region 1:(-infinity,-3)
Region 2:(-3,-2)
Region 3:(-2,16)
Region 4:(16,infinity)
.
.
.
For each region, choose a point in the region (not an endpoint).
Test the inequality.
If the inequality is satisfied, the region is part of the solution region.
.
.
Region 1:x=-4
%28x%2B3%29%28x-16%29%28x%2B2%29%3E0
%28-4%2B3%29%28-4-16%29%28-4%2B2%29%3E0
%28-1%29%28-20%29%28-2%29%3E0+
-40%3E0+
False, Region 1 is not part of the solution region.
.
.
Region 2:x=-5%2F2
%28x%2B3%29%28x-16%29%28x%2B2%29%3E0
%28-5%2F2%2B3%29%28-5%2F2-16%29%28-5%2F2%2B2%29%3E0
%281%29%28-37%2F2%29%28-1%2F2%29%3E0+
37%2F4%3E0+
True, Region 2 is part of the solution region.
.
.
Region 3:x=0
%28x%2B3%29%28x-16%29%28x%2B2%29%3E0
%28-4%2B3%29%28-4-16%29%28-4%2B2%29%3E0
%283%29%28-16%29%282%29%3E0+
-96%3E0+
False, Region 3 is not part of the solution region.
.
.
Region 4:x=17
%28x%2B3%29%28x-16%29%28x%2B2%29%3E0
%2817%2B3%29%2817-16%29%2817%2B2%29%3E0
%2820%29%281%29%2819%29%3E0+
380%3E0+
True, Region 4 is part of the solution region.
.
.
Solution Region:(-3,-2) U (16,infinity)
.
.
.
Graphical verification: Look for regions where the function is above the x-axis (y%3E0)
.
.
.



Triangles/365115: A segment 12" long is divided into two segments having lengths in the ratio of 2:3. Find the length of each segment. (Hint: Let 2x and 3x represent the length of the parts.)

1 solutions

Answer 260339 by Fombitz(13828) About Me  on 2010-11-02 15:10:10 (Show Source):
You can put this solution on YOUR website!
2x%2B3x=12
5x=12
highlight%28x=12%2F5%29
2x=24%2F5inches
3x=36%2F5inches


Rational-functions/365105: Solving Rational Equations
1/x=2/x-3
1 solutions

Answer 260338 by Fombitz(13828) About Me  on 2010-11-02 15:06:47 (Show Source):


Triangles/365113: a triangle has an area of 32ft squared and has a height of 4ft
what is the length of its base??
1 solutions

Answer 260337 by Fombitz(13828) About Me  on 2010-11-02 15:05:46 (Show Source):
You can put this solution on YOUR website!
A=%281%2F2%29bh
b=2A%2Fh
b=%282%2832%29%29%2F4
Now solve for b.


Exponents-negative-and-fractional/365108: equal value
y=x+2
y=2x-1
1 solutions

Answer 260335 by Fombitz(13828) About Me  on 2010-11-02 15:04:51 (Show Source):
You can put this solution on YOUR website!
Since they both equal y, set them equal to each other.
x%2B2=2x-1
highlight%28x=3%29
Then
y=3%2B2
highlight%28y=5%29
.
.
.


Complex_Numbers/364811: (-4-3i)-( square root of 7-2i)
1 solutions

Answer 260334 by Fombitz(13828) About Me  on 2010-11-02 15:03:05 (Show Source):


Money_Word_Problems/365101: To earn $ 250.00 in one year from interest with 4%. How much money one must have?
1 solutions

Answer 260333 by Fombitz(13828) About Me  on 2010-11-02 15:00:01 (Show Source):


Numeric_Fractions/365107: d-5
____ = 9
8
1 solutions

Answer 260332 by Fombitz(13828) About Me  on 2010-11-02 14:58:13 (Show Source):
You can put this solution on YOUR website!
d-5=72
.
.
.
Now solve for d


test/365111: (1/4)/(3/8)
1 solutions

Answer 260331 by Fombitz(13828) About Me  on 2010-11-02 14:57:35 (Show Source):


Sequences-and-series/365094: Hi! I need some help developing a rule for the following number sequence: 4, 10, 18, 28, 40, 54, 72...
I know that the pattern is increasing by two each time, but I am struggling to find a rule for this pattern.
Any help would be appreciated!
Thanks!!
1 solutions

Answer 260330 by Fombitz(13828) About Me  on 2010-11-02 14:56:45 (Show Source):
You can put this solution on YOUR website!
Look for a pattern that looks like,
X%28n%29=an%5E2%2Bbn%2Bc
.
.
.
Use the points to solve for a,b, and c.
.
.
1.X%5B1%5D=a%2Bb%2Bc=4
2.X%5B2%5D=4a%2B2b%2Bc=10
3.X%5B3%5D=9a%2B3b%2Bc=18
.
.
.
Subtract eq. 1 from eq. 2,
4a%2B2b%2Bc-a-b-c=10-4
4.3a%2Bb=6
Subtract eq. 1 from eq. 3,
9a%2B3b%2Bc-a-b-c=18-4
8a%2B2b=14
5.4a%2Bb=7
Subtract eq. 4 from eq. 5,
4a%2Bb-3a-b=7-6
highlight%28a=1%29
Then from eq. 4,
3%2Bb=6
highlight%28b=3%29
Then from eq. 1,
1%2B3%2Bc=4
highlight%28c=0%29
.
.
.
highlight_green%28X%28n%29=n%5E2%2B3n%29


Graphs/364770: Given two points, find:
Slope
Point-Slope Form
Slope-Intercept Form
Standard Form
(-2,6)&(-5,7)
1 solutions

Answer 260326 by Fombitz(13828) About Me  on 2010-11-02 14:34:42 (Show Source):
You can put this solution on YOUR website!
First find the slope.
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%287-6%29%2F%28-5-%28-2%29%29=%287-6%29%2F%28-5%2B3%29
When you have the slope, use the point-slope form,
y-y%5Bp%5D=m%28x-x%5Bp%5D%29 with either point.
y-7=m%28x-%28-5%29%29
highlight%28y-7=m%28x%2B5%29%29
.
.
.
Convert to slope-intercept form, y=mx%2Bb
y=mx%2B5m%2B7
highlight%28y=mx%2B%285m%2B7%29%29
.
.
.
Then convert to standard form, get rid of all denominators.
Move x and y to the left hand side, constant on the right hand side.
Coefficient for x should be positive.
highlight%28ax%2Bby=c%29


Percentage-and-ratio-word-problems/365091: The width of a rectangle is 4 cm less than 1/5 of the length. If the perimeter of the rectangle is 88 cm, find its length and its width.
Width of rectangle = 1/5x - 4
88 = 2(x) + 1/5 - 4
?? I don't know what i'm doing wrong.
1 solutions

Answer 260323 by Fombitz(13828) About Me  on 2010-11-02 14:28:52 (Show Source):
You can put this solution on YOUR website!
W=%281%2F5%29L-4
.
.
.
P=2%2AL%2B2%2AW=88
L%2BW=44
.
.
.
Substitute,
L%2B%28%281%2F5%29L-4%29=88
%286%2F5%29L-4=88
Now solve for L, then go back and solve for W.


Functions/365092: for the function f(x)=7-3x find the following
2f(x)
1 solutions

Answer 260322 by Fombitz(13828) About Me  on 2010-11-02 14:26:30 (Show Source):


Probability-and-statistics/364982: Find the probability that none of the 3 bulbs in a signal-light will have to be replaced during the first 1200 hours of operation if the lifetime X of the bulb is a random variable with the density f(x)=6[0.25-(x-1.5)^2] when 1<=x<=2, and f(x)=0 otherwise, where x is measured in multiples of 1000 hours.
Please show work if you know the aswer. =)
1 solutions

Answer 260321 by Fombitz(13828) About Me  on 2010-11-02 14:25:42 (Show Source):
You can put this solution on YOUR website!
Find P%281200%29=int%28f%28x%29%2Cdx%2C1%2C1.2%29
P%281200%29=int%28%286%281%2F4-%28x-3%2F2%29%5E2%29%29%2Cdx%2C1%2C1.2%29
P%281200%29=int%28%286%281%2F4-%28x%5E2-3x%2B9%2F4%29%29%29%2Cdx%2C1%2C1.2%29
P%281200%29=int%28%283%2F2-%286x%5E2-18x%2B27%2F2%29%29%29%2Cdx%2C1%2C1.2%29
P%281200%29=int%28%28-6x%5E2%2B18x-12%29%2Cdx%2C1%2C1.2%29
P%281200%29=-2%28%286%2F5%29%5E3-1%29%2B9%28%286%2F5%29%5E2-1%29-12%286%2F5-1%29
P%281200%29=-2%28216%2F125-125%2F125%29%2B9%2836%2F25-25%2F25%29-12%286%2F5-5%2F5%29
P%281200%29=-2%2891%2F125%29%2B9%2811%2F25%29-12%281%2F5%29
P%281200%29=%28-182%2F125%29%2B%2899%2F25%29-%2812%2F5%29
P%281200%29=%28-182%2F125%29%2B%28495%2F125%29-%28300%2F125%29
P%281200%29=%2813%2F125%29
.
.
.
P=P%281200%29P%281200%29P%281200%29
P=%2813%2F125%29%5E3
highlight%28P=2197%2F1953125%29 or approximately,
P=0.00113


Functions/365088: for the function f(x)=7-3x find the following
f(5)
1 solutions

Answer 260318 by Fombitz(13828) About Me  on 2010-11-02 14:10:20 (Show Source):
You can put this solution on YOUR website!
f%28x%29=7-3x
f%285%29=7-3%285%29
f%285%29=7-15
Finish the calculation for the final answer.


Coordinate-system/365089: 1. The points L(4, 0),M(10, 0), and N(7, 5) form #LMN.What is the sum of the
slopes of the three sides of the triangle?0
1 solutions

Answer 260317 by Fombitz(13828) About Me  on 2010-11-02 14:09:24 (Show Source):
You can put this solution on YOUR website!
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
.
.
.
m%5B1%5D=%280-0%29%2F%2810-4%29
.
.
m%5B2%5D=%285-0%29%2F%287-10%29
.
.
m%5B3%5D=%280-5%29%2F%287-4%29
Once you've calculated them, add them up.