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Fombitz answered: 13805 problems
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Polynomials-and-rational-expressions/359054: Subtract. Simplify if possible

7-x / x-3 - 9x-8 / 3-x


please help me

1 solutions

Answer 256241 by Fombitz(13828) About Me  on 2010-10-20 09:50:47 (Show Source):
You can put this solution on YOUR website!
%287-x%29%2F%28x-3%29-%289x-8%29%2F%283-x%29=%287-x%29%2F%28x-3%29%2B%289x-8%29%2F%28x-3%29
%287-x%29%2F%28x-3%29-%289x-8%29%2F%283-x%29=%287-x%2B9x-8%29%2F%28x-3%29
Simplify the numerator for the final answer.



Exponential-and-logarithmic-functions/359062: Solve for x
1/4=8^9x+4
1 solutions

Answer 256239 by Fombitz(13828) About Me  on 2010-10-20 09:48:52 (Show Source):


Polynomials-and-rational-expressions/359060: Divide. (x^4-8x^2+12)/(x^2-2)
1 solutions

Answer 256238 by Fombitz(13828) About Me  on 2010-10-20 09:47:09 (Show Source):


Linear_Algebra/359057: simplify (x2+16)(x2-16)=?
1 solutions

Answer 256237 by Fombitz(13828) About Me  on 2010-10-20 09:45:15 (Show Source):
You can put this solution on YOUR website!
Use the FOIL Method,
%28x%5E2%2B16%29%28x%5E2-16%29=x%5E2x%5E2-16x%5E2%2B16x%5E2-16%2816%29
%28x%5E2%2B16%29%28x%5E2-16%29=x%5E%282%2B2%29-256
highlight%28%28x%5E2%2B16%29%28x%5E2-16%29=x%5E4-256%29



Polynomials-and-rational-expressions/359055: Add

+%283x%5E2-2xy%2By%5E2%29%2B%28-6x%5E2-7xy-y%5E2%29%2B%28x%5E2%2Bxy-4y%5E2%29+


please help
1 solutions

Answer 256234 by Fombitz(13828) About Me  on 2010-10-20 09:43:50 (Show Source):
You can put this solution on YOUR website!
You can only add like terms.


Complete the calculation to get the solution.


Miscellaneous_Word_Problems/359050: The table below shows the customer rating of five restaurants in the metro city guide to restaurants. The rating scale is from 1 ,the worst ,to 10, the best . which of the five restaurants has the best average rating ?

Restaurant food décor service value
Del 7 9 4 7
Aqua 8 9 4 6
Le 10 8 3 5
Sushi 7 7 5 6
Metro 9 8 7 7

A metro B le C aqua D sushi
1 solutions

Answer 256233 by Fombitz(13828) About Me  on 2010-10-20 09:41:16 (Show Source):
You can put this solution on YOUR website!
Del=%287%2B9%2B4%2B7%29%2F4
.
.
Aqua=+%288%2B+9%2B+4%2B+6%29+%2F4
.
.
Le= %2810+%2B8%2B+3+%2B5+%29%2F4
.
.
Sushi= %287%2B+7+%2B5%2B+6%29+%2F4
.
.
Metro= %289%2B+8%2B+7+%2B7+%29%2F4
.
.
.
Complete the calculation to get each average.
Highest average wins.


Polynomials-and-rational-expressions/359053: Multiply. (x^3-x^4)(x^3+x^4)
1 solutions

Answer 256231 by Fombitz(13828) About Me  on 2010-10-20 09:38:35 (Show Source):
You can put this solution on YOUR website!
Use the FOIL Method,
%28x%5E3-x%5E4%29%28x%5E3%2Bx%5E4%29=x%5E3x%5E3%2Bx%5E3x%5E4-x%5E4x%5E3-x%5E4x%5E4

%28x%5E3-x%5E4%29%28x%5E3%2Bx%5E4%29=x%5E%286%29%2Bx%5E%287%29-x%5E%287%29-x%5E%288%29
highlight%28%28x%5E3-x%5E4%29%28x%5E3%2Bx%5E4%29=x%5E%286%29-x%5E%288%29%29


Points-lines-and-rays/359051: find the x and y intercepts of each graph
y=x^2 -9
1 solutions

Answer 256230 by Fombitz(13828) About Me  on 2010-10-20 09:36:15 (Show Source):
You can put this solution on YOUR website!

To find the x-intercept, set y=0 and solve for x.
x%5E2-9=0
x%5E2=9
x=0+%2B-+3
(-3,0) and (3,0)
.
.
.
To find the y-intercept, set x=0 and solve for y.
y=x%5E2-9
y=-9
(0,-9)
.
.
.



Complex_Numbers/358805: 1 / x+1 + 2x / x2(squared)-1 - 1 / x-1
1 solutions

Answer 256228 by Fombitz(13828) About Me  on 2010-10-20 09:33:40 (Show Source):
You can put this solution on YOUR website!
Find a common denominator,x%5E2-1=%28x%2B1%29%28x-1%29




1%2F%28x%2B1%29%2B%282x%29%2F%28x%5E2-1%29-+1%2F%28x-1%29=highlight%282%2F%28x%2B1%29%29


Complex_Numbers/358802: how would yu solv a quadratic equation for x^2-4x+6=0 and for x^2+1=0
1 solutions

Answer 256227 by Fombitz(13828) About Me  on 2010-10-20 09:29:30 (Show Source):
You can put this solution on YOUR website!
Use the quadratic formula,
x%5E2-4x%2B6=0
a=1
b=-4
c=6
.
.
.
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%284+%2B-+sqrt%28+%28-4%29%5E2-4%2A1%2A6+%29%29%2F%282%2A1%29+
x+=+%284+%2B-+sqrt%28+16-24%29%29%2F2+
x+=+%284+%2B-+sqrt%28+-8%29%29%2F2+
x+=+%284+%2B-+2sqrt%28+-2%29%29%2F2+
highlight%28x+=+2+%2B-+sqrt%28+2%29i+%29 where i=sqrt%28-1%29
.
.
.
Now follow the same procedure for the second equation.


Probability-and-statistics/359044: compute the mean, mode, range, standard deviation and variance from the following set of scores: 145, 210, 300, 178, 110, 237, 155, 187, 204, 205, 205, 287, 256, 200
1 solutions

Answer 256224 by Fombitz(13828) About Me  on 2010-10-20 09:24:30 (Show Source):
You can put this solution on YOUR website!
Where are you having a problem?


Sequences-and-series/359043: PQ+=+%28P%5E2-Q%5E2%29%2FPQ%2C+EVALUATE+%283%2A2%29%2A%285%2A4%29 I TRIED THIS
(p^2-Q^2)/PQ = ((P-Q)(P+Q))/pq so [(3*2)-(5*4)][(3*2)+(5*4)]/(3*2)(5*4) it gives
-91/30
1 solutions

Answer 256223 by Fombitz(13828) About Me  on 2010-10-20 09:23:55 (Show Source):
You can put this solution on YOUR website!
What are you trying to solve for?
PQ=%28P%5E2-Q%5E2%29%2FPQ
P%5E2-Q%5E2=%28PQ%29%5E2
.
.
.
P=3%2A2=6
Q=5%2A4=20
36-400=%28120%29%5E2
-364=14400
False, so the original equation is not true.


Polynomials-and-rational-expressions/359045: -4x^2+10x-4
1 solutions

Answer 256221 by Fombitz(13828) About Me  on 2010-10-20 09:20:08 (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C-4x%5E2%2B10x-4%29
.
.
.
What's the question?


Rate-of-work-word-problems/359042: I am not sure how to begin setting this equation up. I know that it requires the d=r*t formula but what goes where and how do I solve it?
Filling a tank. A water tank has an inlet pipe and a drain
pipe. A full tank can be emptied in 30 minutes if the drain
is opened and an empty tank can be filled in 45 minutes
with the inlet pipe opened. If both pipes are accidentally
opened when the tank is full, then how long will it take to
empty the tank?
1 solutions

Answer 256220 by Fombitz(13828) About Me  on 2010-10-20 09:18:00 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Volume
.
.
.
Let the pool volume be P.
Calculate the fill rate,
R%5Bf%5D%2At=P
R%5Bf%5D%2A45=P
R%5Bf%5D=P%2F45
Calculate the drain rate,
R%5Bd%5D%2At=P
R%5Bd%5D%2A30=P
R%5Bd%5D=P%2F30
Calculate the time when both valves are open,
%28R%5Bd%5D-R%5Bf%5D%29%2At=P
Substituting,
%28P%2F30-P%2F45%29%2At=P
P%283%2F90-2%2F90%29%2At=P
%281%2F90%29%2At=1
highlight%28t=90%29minutes


Travel_Word_Problems/359041: if you are traveling 330 miles and going 60 mph one way and comming back you are going 40 mph, what is your average speed of velocity?
1 solutions

Answer 256219 by Fombitz(13828) About Me  on 2010-10-20 09:14:05 (Show Source):
You can put this solution on YOUR website!
Calculate the time it takes both ways.
.
.
Rate*Time=Distance
R%2At=D
t=D%2FR
.
.
t%5B1%5D=330%2F60=5.5hrs
t%5B2%5D=330%2F40=8.25hrs
.
.
Average speed is total distance divided by total time,
V%5Bave%5D+=%28330%2B330%29%2F%285.5%2B8.25%29
V%5Bave%5D=660%2F13.75
highlight%28V%5Bave%5D=48%29mph


Miscellaneous_Word_Problems/358989: A Math quiz has 25 questions. A correct answer earns 8 points, and a wrong one
costs 3 points. Jess scores 110 points. How many questions does Jess answer?
1 solutions

Answer 256217 by Fombitz(13828) About Me  on 2010-10-20 09:10:05 (Show Source):
You can put this solution on YOUR website!
Let R be the number of right answers, W for wrong answers.
1.R%2BW=25
2.8R%2B%28-3%29W=110
Multiply eq. 1 by 3 and add to eq. 2 to eliminate W.
3R%2B3W%2B8R-3W=75%2B110
11R=185
Something is wrong with the problem setup since 11 is not a factor of 185, you won't get an integer answer for R as required.
.
.
.
17 right, 8 wrong would give Jess 112 points.
16 right, 9 wrong would give Jess 101 points.


Equations/359026: 12a^3-9a^2+4a-3
1 solutions

Answer 256214 by Fombitz(13828) About Me  on 2010-10-20 09:05:34 (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-2%2C2%2C-10%2C10%2C12x%5E3-9x%5E2%2B4x-3%29
.
.
.
What's the question??


test/359037: Solve the following system by the substitution method.
7x - y= -1
y= 14x+5
1 solutions

Answer 256213 by Fombitz(13828) About Me  on 2010-10-20 09:04:08 (Show Source):
You can put this solution on YOUR website!
1.7x+-+y=+-1
2.y=+14x%2B5
Substitute eq. 2 into eq. 1,
7x-%2814x%2B5%29=-1
7x-14x-5=-1
-7x=4
highlight%28x=-4%2F7%29
Then from eq. 2,
y=14%28-4%2F7%29%2B5
y=-8%2B5
highlight%28y=-3%29


Quadratic_Equations/359025: Solve
+%28x%2B18%29%28x-3%29%28x%2B13%29%3E0+

1) The solution set is????
"use at least one inequality or compund inequality to express your answer"

Please help me
1 solutions

Answer 256210 by Fombitz(13828) About Me  on 2010-10-20 09:00:27 (Show Source):
You can put this solution on YOUR website!
+%28x%2B18%29%28x-3%29%28x%2B13%29%3E0+
Break up the number line into 4 regions using the critical points of the function.
Region 1:(-infinity,-18)
Region 2:(-18,-13)
Region 3:(-13,3)
Region 4:(3,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=-19
+%28x%2B18%29%28x-3%29%28x%2B13%29%3E0+
+%28-19%2B18%29%28-19-3%29%28-19%2B13%29%3E0+
%28-1%29%28-22%29%28-6%29%3E0+
-132%3E0+
False, Region 1 is not part of the solution region.
.
.
Region 2:x=-14
+%28x%2B18%29%28x-3%29%28x%2B13%29%3E0+
+%28-14%2B18%29%28-14-3%29%28-14%2B13%29%3E0+
%284%29%28-17%29%28-1%29%3E0+
68%3E0+
True, Region 2 is part of the solution region.
.
.
Region 3:x=0
+%28x%2B18%29%28x-3%29%28x%2B13%29%3E0+
%2818%29%28-3%29%2813%29%3E0+
-702%3E0+
False, Region 3 is not part of the solution region.
.
.
Region 4:x=4
+%28x%2B18%29%28x-3%29%28x%2B13%29%3E0+
+%284%2B18%29%284-3%29%284%2B13%29%3E0+
%2822%29%281%29%2817%29%3E0+
374%3E0+
True, Region 4 is part of the solution region.
.
.
Solution Region: (-18,-13) U (3,infinity)
or
(-18%3Cx%3C-13) and (x%3E3)
.
.
.
Graphical verification: Look for regions where the function is above the x-axis (y%3E0)
.
.
.




Exponents/359032: Multiply and simplify. Assume variables represent nonzero real numbers.

x^17 * x^0


please help me
1 solutions

Answer 256205 by Fombitz(13828) About Me  on 2010-10-20 08:53:07 (Show Source):
You can put this solution on YOUR website!
Use the law of exponents, when you multiply, exponents add.
x%5E17%2Ax%5E0=x%5E%2817%2B0%29=x%5E17


Probability-and-statistics/359027: Could someone explain this to me because the book was no help.

The random variable x has the following probability distribution:
x 1 2 3 4 5
___________________________________________________
P(x) 0.6 0.1 0.1 0.1 0.1
a.) Find the mean and standard deviation of x.
b). What is the probability that x is between mean - standard deviation and mean + standard deviation?


1 solutions

Answer 256204 by Fombitz(13828) About Me  on 2010-10-20 08:52:10 (Show Source):
You can put this solution on YOUR website!
mu is the mean.

mu=highlight%282%29
.
.
.
Calculate the variance first, then sigma.

VAR=%280.6%29%2B%280.1%29%2B4%280.1%29%2B9%280.1%29
VAR=2
sigma=sqrt%28VAR%29
sigma=sqrt%282%29
highlight%28sigma=1.414%29


Square-cubic-other-roots/358795: x^2 + y^2 = 2
xy = -1
what is x^3 + y^3? Show the steps
1 solutions

Answer 256202 by Fombitz(13828) About Me  on 2010-10-20 08:46:47 (Show Source):


Quadratic_Equations/359024: For the following equation, state the value of the discriminant and then describe the nature of the solutions.

+10x%5E2-3x%2B2=0+

1) what is the value of the discriminant???
2) Does the equation have one real solution, two real solutions, or two imaginary solutions???

Really lost please help me
1 solutions

Answer 256201 by Fombitz(13828) About Me  on 2010-10-20 08:40:13 (Show Source):
You can put this solution on YOUR website!
+10x%5E2-3x%2B2=0+
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D=b%5E2-4ac
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b=-3
a=10
c=2
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D=%28-3%29%5E2-4%2810%29%282%29
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If D%3E0, you have two real roots.
If D=0, you have one real root.
If D%3C0, you have two complex roots.


Geometry_Word_Problems/359010: Please help me solve this equation: x^4+x-3= 0 Find the approximate solutions to the equation.
1 solutions

Answer 256200 by Fombitz(13828) About Me  on 2010-10-20 08:36:11 (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E4%2Bx-3%29
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graph%28300%2C300%2C-3%2C3%2C-3%2C3%2Cx%5E4%2Bx-3%29
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I used Newton's method to get
x%5B1%5D=1.164035
x%5B2%5D=-1.45263


real-numbers/359020: Convert 3002 six to base ten.
1 solutions

Answer 256198 by Fombitz(13828) About Me  on 2010-10-20 08:32:11 (Show Source):


real-numbers/359019: convert 317 eight to base ten.
1 solutions

Answer 256197 by Fombitz(13828) About Me  on 2010-10-20 08:30:59 (Show Source):


Rational-functions/358803: Given the following 3 points, find the particular equation. Graph the parabola. Label the axis of symmetry, vertex, y-intercept and its symmetric partner, and the x-intercepts.
(3,138) (10, 292) (15, 282)
1 solutions

Answer 256196 by Fombitz(13828) About Me  on 2010-10-20 08:28:19 (Show Source):
You can put this solution on YOUR website!
y=ax%5E2%2Bbx%2Bc
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138=a%283%29%5E2%2Bb%283%29%2Bc
1.9a%2B3b%2Bc=138
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292=a%2810%29%5E2%2Bb%2810%29%2Bc
2.100a%2B10b%2Bc=292
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282=a%2815%29%5E2%2Bb%2815%29%2Bc
3.225a%2B15b%2Bc=282
Subtract eq. 1 from eq. 2 to eliminate c,
100a%2B10b%2Bc-9a-3b-c=292-138
91a%2B7b=154
4.13a%2Bb=22
Subtract eq. 1 from eq. 3 to eliminate c,
225a%2B15b%2Bc-9a-3b-c=282-138
216a%2B12b=144
5.18a%2Bb=12
Subtract eq. 4 from eq. 5 to eliminate b
18a%2Bb-13a%2Bb=12-22
5a=-10
highlight%28+a=-2%29
Then,
-36%2Bb=12
highlight%28+b=48%29
Then,
-18%2B144%2Bc=138
highlight%28+c=12%29
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highlight_green%28y=-2x%5E2%2B48x%2B12%29
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Convert to vertex form, y=a%28x-h%29%5E2%2Bk, by completing the square.
y=-2%28x%5E2-24x%29%2B12
y=-2%28x%5E2-24x%2B144%29%2B12%2B2%28144%29
y=-2%28x-12%29%5E2%2B12%2B288
y=-2%28x-12%29%5E2%2B300
The vertex is (12,300).
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The vertex lies on the axis of symmetry x=12.
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The y-intercept is,
y=-2%280%29%5E2%2B48%280%29%2B12=12
Its symmetric partner would be
x=12%2B12=24
y=12
(24,12)
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The x-intercepts are,
-2%28x-12%29%5E2%2B300=0
2%28x-12%29%5E2=300
%28x-12%29%5E2=150
x-12=0+%2B-+sqrt%28150%29
x=12+%2B-+5%2Asqrt%286%29
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Polynomials-and-rational-expressions/359015: x/(x+2)=6/(x+5) Solve Rational Expression
1 solutions

Answer 256191 by Fombitz(13828) About Me  on 2010-10-20 08:08:51 (Show Source):
You can put this solution on YOUR website!
x%2F%28x%2B2%29=6%2F%28x%2B5%29
x%28x%2B5%29=6%28x%2B2%29
x%5E2%2B5x=6x%2B12
x%5E2-x-12=0
%28x-4%29%28x%2B3%29=0
Two solutions:
x-4=0
highlight%28x=4%29
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x%2B3=0
highlight%28x=-3%29


Angles/358801: Find angle Y if angle Y is six more than three times its complement.
1 solutions

Answer 256190 by Fombitz(13828) About Me  on 2010-10-20 08:07:16 (Show Source):
You can put this solution on YOUR website!
By definition,
Y%2BC=90
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Y=6%2B3C
Substitute,
6%2B3C%2BC=90
4C%2B6=90
4C=84
C=21degrees
Then,
Y=6%2B3%2821%29
Y=6%2B63
highlight%28Y=69%29degrees


test/358798: Factor the polynomial:
9xsquared-25
1 solutions

Answer 256189 by Fombitz(13828) About Me  on 2010-10-20 08:05:35 (Show Source):
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It's the difference of two squares.
9x%5E2-25=%283x%2B5%29%283x-5%29


Graphs/358982: find the slope and y intercept of f(x)= -6 -4
1 solutions

Answer 256188 by Fombitz(13828) About Me  on 2010-10-20 08:04:58 (Show Source):
You can put this solution on YOUR website!
Are you sure f(x) is correct?
f%28x%29=-10
m=0
b=-10
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graph%28300%2C300%2C-10%2C10%2C-15%2C5%2C-10%2C-10%29