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Probability-and-statistics/363433: If the regression equation is y^=2-0.4x, what is the value of y^ when x =-3?
1 solutions

Answer 259122 by Fombitz(13828) About Me  on 2010-10-28 23:06:12 (Show Source):


Linear-equations/363435: slope to the perpendicular line if the equation is y=3/8 x+19
1 solutions

Answer 259120 by Fombitz(13828) About Me  on 2010-10-28 23:05:19 (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
%283%2F8%29%2Am%5B2%5D=-1
highlight%28m%5B2%5D=-8%2F3%29


Rational-functions/363233: Simplify
1 over x-4 + 1 over x+4
1 solutions

Answer 258987 by Fombitz(13828) About Me  on 2010-10-28 17:06:04 (Show Source):
You can put this solution on YOUR website!
Use the common denominator, %28x%2B4%29%28x-4%29

1%2F%28x-4%29%2B1%2F%28x%2B4%29=%28x%2B4%2Bx-4%29%2F%28%28x-4%29%28x%2B4%29%29
highlight%281%2F%28x-4%29%2B1%2F%28x%2B4%29=%282x%29%2F%28%28x-4%29%28x%2B4%29%29%29


Inequalities/363238: 4(k+2) - 3k is less than or equal to 12
1 solutions

Answer 258986 by Fombitz(13828) About Me  on 2010-10-28 17:03:41 (Show Source):


Trigonometry-basics/363130: find the value of: tan 3π/2
1 solutions

Answer 258984 by Fombitz(13828) About Me  on 2010-10-28 17:01:23 (Show Source):


Graphs/363201: x+2y=6 Graph the equation and ideentify the y intersection
1 solutions

Answer 258982 by Fombitz(13828) About Me  on 2010-10-28 17:00:06 (Show Source):


Graphs/363202: y=3x-7 Graph the equation and ideentify the y intersection
1 solutions

Answer 258981 by Fombitz(13828) About Me  on 2010-10-28 16:58:43 (Show Source):


Expressions-with-variables/363199: simplify 2y-17+3z-5y+z
1 solutions

Answer 258980 by Fombitz(13828) About Me  on 2010-10-28 16:57:34 (Show Source):


Angles/363234: Is it possible to find the complement of the supplement of any angle? Is it possible to fine the supplement of the complement of any angle?
1 solutions

Answer 258979 by Fombitz(13828) About Me  on 2010-10-28 16:56:01 (Show Source):
You can put this solution on YOUR website!
Yes and yes.
A%2BS=180
A%2BC=90
If you subtract them, then
S-C=90
So,
If you know C, you can find S and A.
If you know S, you can find C and A.
If you know A, you can find C and S.


Polynomials-and-rational-expressions/363237: describe the end behavior of the polynomial function lim f(x) and lim f (x)
X-> ∞ X-> - ∞
f(x)= -4x^2 + 7x^2 - 3
1 solutions

Answer 258976 by Fombitz(13828) About Me  on 2010-10-28 16:53:50 (Show Source):


Mixture_Word_Problems/363211: A chemist wants to make 50 mL of a 17% acid solution by mixing a 13% acid solution and an 18% acid solution. How many milliliters of each solution should the chemist use?
1 solutions

Answer 258975 by Fombitz(13828) About Me  on 2010-10-28 16:52:34 (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 13% solution, B the amount of 18% solution.
1.A%2BB=50
.
.
13A%2B18B=17%2850%29
2.13A%2B18B=850
Multiply eq. 1 by (-13) and add to eq. 2,
-13A-13B%2B13A%2B18B=-650%2B850
5B=200
highlight%28B=40%29ml
Then from eq. 1,
A%2B40=50
highlight%28A=10%29ml


Mixture_Word_Problems/363214: Two hundred ounces of juice that is 75% tomato juice are added to 100 oz of a vegetable juice that is 20% tomato juice. What is the percent concentration of tomato juice in the resulting mixture? (as a fraction)
1 solutions

Answer 258974 by Fombitz(13828) About Me  on 2010-10-28 16:50:16 (Show Source):
You can put this solution on YOUR website!
Let X be the resulting concentration,
75%28200%29%2B20%28100%29=X%28200%2B100%29
15000%2B2000=300X
17000=300X
X=170%2F3 or approximately 56.7%


Miscellaneous_Word_Problems/363216: I have 0 thousands, 17 tens, 0 hundreds and 10 ones. What number am I?
1 solutions

Answer 258972 by Fombitz(13828) About Me  on 2010-10-28 16:48:10 (Show Source):


Trigonometry-basics/363139: evaluate the quadrantal angle: csc π
1 solutions

Answer 258971 by Fombitz(13828) About Me  on 2010-10-28 16:47:07 (Show Source):


Quadratic_Equations/363224: Solve
2x^2+8x-12=0
1 solutions

Answer 258970 by Fombitz(13828) About Me  on 2010-10-28 16:45:16 (Show Source):


Quadratic-relations-and-conic-sections/363220: Find the center and radius of the circle
x^2+y^2-2x+8y+8=0
1 solutions

Answer 258969 by Fombitz(13828) About Me  on 2010-10-28 16:40:48 (Show Source):
You can put this solution on YOUR website!

Complete the square in x and y,
x%5E2%2By%5E2-2x%2B8y%2B8=0
x%5E2-2x%2By%5E2%2B8y%2B8=0
%28x%5E2-2x%2B1%29%2B%28y%5E2%2B8y%2B16%29%2B8=1%2B16
%28x-1%29%5E2%2B%28y%2B4%29%5E2=17-8
%28x-1%29%5E2%2B%28y%2B4%29%5E2=9
The general equation for a circle centered at (h,k) with a radius R is:
%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2
Comparing,
(h,k)=(1,-4)
R=3


Inequalities/363223: 4(X+7)-10=6(x-2)+8
and I need the break down of how it is solved. I see examples in my math book but it is not clear to me how to plus or minus the given number on each side.
1 solutions

Answer 258967 by Fombitz(13828) About Me  on 2010-10-28 16:37:21 (Show Source):


logarithm/363217: Differentiate... y= log5 (6x)
1 solutions

Answer 258965 by Fombitz(13828) About Me  on 2010-10-28 16:35:20 (Show Source):


Rational-functions/363215: Provide answers in interval notation .
s^2 - 2s - 35 < 0
1 solutions

Answer 258959 by Fombitz(13828) About Me  on 2010-10-28 16:25:21 (Show Source):
You can put this solution on YOUR website!
s%5E2+-+2s+-+35+%3C+0
%28s-7%29%28s%2B5%29+%3C+0
Break up the number line into 3 regions using the critical points of the function.
Region 1:(-infinity,-5)
Region 2:(-5,7)
Region 3:(7,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:s=-6
%28s-7%29%28s%2B5%29+%3C+0
%28-6-7%29%28-6%2B5%29+%3C+0
%28-13%29%28-1%29%3C0+
13%3C0
False, Region 1 is not part of the solution region.
.
.
Region 2:s=0
%28s-7%29%28s%2B5%29+%3C+0
%28-7%29%285%29+%3C+0
-35%3C0
True, Region 2 is part of the solution region.
.
.
Region 3:s=8
%28s-7%29%28s%2B5%29+%3C+0
%288-7%29%288%2B5%29+%3C+0
%281%29%2813%29%3C0+
13%3C0
False, Region 3 is not part of the solution region.
.
.
Solution Region:(-5,7)
.
.
.
Graphical verification: Look for regions where the function is above the x-axis (y%3C0)
.
.
.



Polynomials-and-rational-expressions/363096: (-4c^2 + 3c+2)-(9c^2 +2)
1 solutions

Answer 258955 by Fombitz(13828) About Me  on 2010-10-28 16:19:47 (Show Source):


Money_Word_Problems/363102: How long will it take a $700 investment to be worth $800 if it is continuously compounded at 10% per year?
1 solutions

Answer 258954 by Fombitz(13828) About Me  on 2010-10-28 16:18:23 (Show Source):
You can put this solution on YOUR website!
800=700e%5E%280.1t%29
e%5E%280.1t%29=8%2F7
0.1t=ln%288%2F7%29%29
highlight%28t=10%2Aln%288%2F7%29%29 or approximately,
t=1.34 years


Graphs/362847: Use a system of equations to find the parabola of the form y=ax^2+bx+c that goes through the three given points.
(4,-54),(-2,-6),(-3,-19)

1 solutions

Answer 258950 by Fombitz(13828) About Me  on 2010-10-28 16:13:31 (Show Source):
You can put this solution on YOUR website!
y=ax%5E2%2Bbx%2Bc
.
.
.
a%284%29%5E2%2Bb%284%29%2Bc=-54
1.16a%2B4b%2Bc=-54
.
.
a%28-2%29%5E2%2Bb%28-2%29%2Bc=-6
2.4a-2b%2Bc=-6
.
.
a%28-3%29%5E2%2Bb%28-3%29%2Bc=-19
3.9a-3b%2Bc=-19
Subtract eq. 2 from eq. 1,
16a%2B4b%2Bc-4a%2B2b-c=-54%2B6
12a%2B6b=-48
4.2a%2Bb=-8
Subtract eq. 3 from eq. 1,
16a%2B4b%2Bc-9a%2B3b-c=-54%2B19
7a%2B7b=-35
5.a%2Bb=-5
Subtract eq. 5 from eq. 4,
2a%2Bb-a-b=-8%2B5
highlight%28a=-3%29
From eq. 5,
-3%2Bb=-5
highlight%28b=-2%29
Then from eq. 2,
4%28-3%29-2%28-2%29%2Bc=-6
-12%2B4%2Bc=-6
highlight%28c=2%29


Equations/362770: y+8=x^2+x+1.
Put the equation into standard form.
Find vertex and the x-intercept.
1 solutions

Answer 258945 by Fombitz(13828) About Me  on 2010-10-28 16:01:47 (Show Source):
You can put this solution on YOUR website!
y%2B8=x%5E2%2Bx%2B1
highlight%28y=x%5E2%2Bx-7%29
.
.
.
y=%28x%5E2%2Bx%29-7
y=%28x%5E2%2Bx%2B1%2F4%29-7-1%2F4
y=%28x%2B1%2F2%29%5E2-28%2F4-1%2F4
highlight%28y=%28x%2B1%2F2%29%5E2-29%2F4%29
.
.
Vertex:(-1%2F2,-29%2F4)
.
.
X-intercepts:
%28x%2B1%2F2%29%5E2-29%2F4=0
%28x%2B1%2F2%29%5E2=29%2F4
x%2B1%2F2=0+%2B-+sqrt%2829%29%2F2
highlight%28x=-1%2F2+%2B-+sqrt%2829%29%2F2%29


Equations/363091: 8u^9*2x^*4y^-8x^-5u^-4y
1 solutions

Answer 258944 by Fombitz(13828) About Me  on 2010-10-28 15:58:01 (Show Source):
You can put this solution on YOUR website!
8u^9*2x^*4y^-8x^-5u^-4y <--- You're missing an exponent after 2x.
Please re-post.


Quadratic_Equations/363193: f(x)=-30t^2+120t+0 how would you explain when f(x)=60
1 solutions

Answer 258943 by Fombitz(13828) About Me  on 2010-10-28 15:56:49 (Show Source):
You can put this solution on YOUR website!
f%28t%29=-30t%5E2%2B120t%2B0+
Find t when,
-30t%5E2%2B120t%2B0=60
30t%5E2-120t%2B60=0
t%5E2-4t%2B2=0
%28t%5E2-4t%2B4%29%2B2=4
%28t-2%29%5E2=2
t-2=0+%2B-+sqrt%282%29
highlight%28t=2+%2B-+sqrt%282%29%29


Expressions-with-variables/363192:
1 solutions

Answer 258941 by Fombitz(13828) About Me  on 2010-10-28 15:54:16 (Show Source):
You can put this solution on YOUR website!
Please re-post.


Expressions-with-variables/363195: how can you solve equations with variables on each sides.... how can you do in a easy way wich you can understand it
1 solutions

Answer 258940 by Fombitz(13828) About Me  on 2010-10-28 15:53:53 (Show Source):
You can put this solution on YOUR website!
Can you show an example of what you're thinking of?
It's easier than having us guess wrong.


Average/363194: (a+b/xy)/(a/xy)=
1 solutions

Answer 258939 by Fombitz(13828) About Me  on 2010-10-28 15:53:06 (Show Source):


Trigonometry-basics/363133: using the unit circle, find the value of the trigonometric function: sec 3π/2
1 solutions

Answer 258938 by Fombitz(13828) About Me  on 2010-10-28 15:51:09 (Show Source):


Trigonometry-basics/363137: using periodic properties of trigonometric function, find the exact value of the expression: 8π/3
1 solutions

Answer 258931 by Fombitz(13828) About Me  on 2010-10-28 15:25:26 (Show Source):


Triangles/363186: A triangle has a leg of 12 m and a hypotenuse of 13 m. Find the length of the other leg.

1 solutions

Answer 258929 by Fombitz(13828) About Me  on 2010-10-28 15:24:24 (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem,
H%5E2=A%5E2%2BB%5E2
13%5E2=12%5E2%2BB%5E2
B%5E2=169-144
B%5E2=25
highlight%28B=5%29m