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Quadratic_Equations/346128: How do I solve this quadratic equation?
x^2-5x-14=0
1 solutions

Answer 247497 by Fombitz(13828) About Me  on 2010-09-21 11:10:35 (Show Source):
You can put this solution on YOUR website!
Factor,
x%5E2-5x-14=0
%28x-7%29%28x%2B2%29=0
Two solutions:
x-7=0
highlight%28x=7%29
.
.
.
x%2B2=0
highlight%28x=-2%29


Graphs/346099: find the x-intercept: -2x^2-16x+24
1 solutions

Answer 247496 by Fombitz(13828) About Me  on 2010-09-21 11:09:13 (Show Source):
You can put this solution on YOUR website!
-2x%5E2-16x%2B24=0
x%5E2%2B8x-12=0
Use the quadratic formula,
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-8+%2B-+sqrt%28+8%5E2-4%2A1%2A%28-12%29+%29%29%2F%282%2A1%29+
x+=+%28-8+%2B-+sqrt%28+64%2B48+%29%29%2F2+
x+=+%28-8+%2B-+sqrt%28+112+%29%29%2F2+
x+=+%28-8+%2B-+4sqrt%28+7+%29%29%2F2+
highlight%28x+=+-4+%2B-+2sqrt%28+7+%29%29%29+
.
.
.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-2x%5E2-16x%2B24%29


test/346103: 1 over 25 parenthasis to the 1over 2 power....simplify
1 solutions

Answer 247495 by Fombitz(13828) About Me  on 2010-09-21 11:05:42 (Show Source):


Polynomials-and-rational-expressions/346111: Please help me solve ((( y^2+10y+25/y^2-9 * y+3/y+5 )))
1 solutions

Answer 247494 by Fombitz(13828) About Me  on 2010-09-21 11:04:53 (Show Source):


Vectors/346121:
1 solutions

Answer 247493 by Fombitz(13828) About Me  on 2010-09-21 11:02:32 (Show Source):
You can put this solution on YOUR website!
Please repost.


Complex_Numbers/346123: 2+8i/5+i
1 solutions

Answer 247492 by Fombitz(13828) About Me  on 2010-09-21 11:02:07 (Show Source):


Mixture_Word_Problems/346125: a chemist needs 110 milliliters of a 46% solution but has only 40% and 73% solutions available. Find how many mililiters of each that should be mixed to get the desired solution.
1 solutions

Answer 247491 by Fombitz(13828) About Me  on 2010-09-21 10:59:39 (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 40% solution.
Let B be the amount of 73% solution.
.
.
Total volume equation:
1.A%2BB=110
.
.
Concentration equation:
2.40A%2B73B=46%28110%29
From eq. 1,
A=110-B
Substitute into eq. 2,
40%28110-B%29%2B73B=46%28110%29
40%28110%29-40B%2B73B=46%28110%29
33B=6%28110%29
B=%286%2A110%29%2F%283%2A11%29
highlight%28B=20%29ml
Then from eq. 1,
A%2B20=110
highlight%28A=90%29ml


Vectors/346124: Solve the problem:
Find the inner product of the vectors <2,5> and <4, -2>. Then state whether the vectors are perpendicular or not.
1 solutions

Answer 247490 by Fombitz(13828) About Me  on 2010-09-21 10:55:44 (Show Source):
You can put this solution on YOUR website!
A:(2,5)
B:(4,-2)
.
.
.
A%2AB=2%2A4%2B5%28-2%29=8-10=-2
.
.
.
No, if they were perpendicular, the dot product would equal zero.


Finance/346122: Please help :c)
At an interest rate of 10%, what is present value of $1m to be received in:
150 years?
1 solutions

Answer 247489 by Fombitz(13828) About Me  on 2010-09-21 10:54:24 (Show Source):
You can put this solution on YOUR website!
1000000=P%281%2B0.1%29%5E150
1000000=P%281617717%29
P=0.62
62 cents invested at 10% for 150 years will yield $1,000,000.
Save your pennies.


Equations/346104: Subtract. Simplify if possible
20/y - 5 - 20/5 - y
1 solutions

Answer 247488 by Fombitz(13828) About Me  on 2010-09-21 10:51:50 (Show Source):


Age_Word_Problems/346107: 3(x-4)-7(x+2)=-2(x+18)
I have worked on this problem for about an hour I know that the - is messing me up but I cannot figure it out. the answer is 5 but I need to know the process so that I can apply to my other problems
thanks so much
1 solutions

Answer 247487 by Fombitz(13828) About Me  on 2010-09-21 10:50:15 (Show Source):
You can put this solution on YOUR website!
3%28x-4%29-7%28x%2B2%29=-2%28x%2B18%29
3x-12-7x-14=-2x%2B36
-4x-26=-2x%2B36
Take it from there and solve for x.
Also make a note on where you made your mistakes in your previous attempts for future problems.


test/346110: (-64)1/2 power
1 solutions

Answer 247485 by Fombitz(13828) About Me  on 2010-09-21 10:48:31 (Show Source):


test/346113: (10,000)1/4 power...simplify
1 solutions

Answer 247484 by Fombitz(13828) About Me  on 2010-09-21 10:47:15 (Show Source):


absolute-value/346120: How do I find the absolute value of this problem:
|5-12|
I had -7, but my teacher told me it was wrong.
1 solutions

Answer 247483 by Fombitz(13828) About Me  on 2010-09-21 10:46:14 (Show Source):
You can put this solution on YOUR website!
The absolute value function always delivers a non-negative answer.
abs%285-12%29=abs%28-7%29
abs%285-12%29=7


Geometry_proofs/346119: Given: l is parallel to m
Prove: the measurement of angle 4 + measurement of angle 5= 180 degrees
Show the statements and reason
1 solutions

Answer 247482 by Fombitz(13828) About Me  on 2010-09-21 10:45:24 (Show Source):
You can put this solution on YOUR website!
What's angle 4 and 5 in relation to lines l and m?
Or if you have a diagram you could post it online.


test/346115: (16apower4)power1/4
1 solutions

Answer 247481 by Fombitz(13828) About Me  on 2010-09-21 10:44:29 (Show Source):
You can put this solution on YOUR website!
To show exponentiation, use the caret ^.
Example,
x^2=x%5E2
(16a^4)^1/4=root%284%2C%2816a%5E4%29%29
(16a^4)^1/4=root%284%2C%2816%29%29%2Aroot%284%2C%28a%5E4%29%29
(16a^4)^1/4=2%2Aa
(16a^4)^1/4=2a


Matrices-and-determiminant/346098: I need to find the intersecting points of two equations: y=.15x and y=.2(x-20)and graph them. I have included my problem and what is expected. I'm lost.
Ok this is what I got :
You would set the two equations equal to each other and solve for x
.15x=.2(x-20) using the Elimination Method
Reorder the terms:
0.15x = 0.2(-20 + x)
0.15x = (-20 * 0.2 + x * 0.2)
0.15x = (-4 + 0.2x)
Solving
0.15x = -4 + 0.2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.2x' to each side of the equation.
0.15x + -0.2x = -4 + 0.2x + -0.2x
Combine like terms: 0.15x + -0.2x = -0.05x
-0.05x = -4 + 0.2x + -0.2x
Combine like terms: 0.2x + -0.2x = 0.0
-0.05x = -4 + 0.0
-0.05x = -4
Divide each side by '-0.05'.
x = 80
Simplifying
x = 80
Now that X = 80, I plugged it into the equation y=0.15x and got this:
y=0.15x
y=0.15(80)
y= 12
Now this is the question to my problem and I do not know how to get the answer. I have to graph this and show the intersection.
a teacher is looking for the best option in purchasing school supplies for a classroom. Where Company A is offering a discount for every dollar amount spent on school supplies and where Company B is offering a higher discount than Company A, but the discount for Company B is only offered for every dollar amount spent above $20.00. I will determine and explain which company will offer a better price based upon the dollar amount the teacher spends on school supplies.
Option 1- Company A will offer her a 15% discount on the total amount spent in the store.
Option 2- Company B will offer her a 20% discount on the remaining amount after the first $20 is spent.
Depict the situation graphically, using appropriate graphing software such as Excel or an online graphing utility.
Include the following in your graph:
• A depiction of each cost option on the same graph
• Clear labels of the cost to the hypothetical customer for both options on the graph
• The intersection of the cost options (if one exists)
I'm so lost. I do not know how to graph this. Please help if you can.
1 solutions

Answer 247480 by Fombitz(13828) About Me  on 2010-09-21 10:41:46 (Show Source):
You can put this solution on YOUR website!
First your answer is correct.
Now plotting.
y=0.15x
When x=0, y=0
when x=100,y=15
.
.
.
Plot the points and the line connecting them.
The x-axis is the amount of money you spend.
The y-axis is the discount you receive.
.
.
.

The red line is the savings from the Company A plan.
.
.
.
The Company B savings only begins at x=20.
So you have to spend at least $20 to receive any discount.
y=.2%28x-20%29
When x=20,+y=0
When x=100, y=0.2%28100-20%29=16
Plot those points and line.
.
.
.

The blue line is the savings from the Company B plan.
.
.
.
When does the Company B plan savings equal the Company A plan savings.
You already calculated that point.
.
.
.
When you spend $80, you get a savings from both plans of $12.
Plot that point too.
.
.
.

.
.
.
Once you pass that point ($80), Company B savings (blue line) are higher than Company A.
.
.
.
If you spend less than $80, Company A savings (red line) are higher than Company B.


Expressions-with-variables/345774: Kim and Dustin together have 96 cards, Dustin and Mike together have 93 cards, and Kim and Mike together has 81 cards. How many cards does each person have?
1 solutions

Answer 247478 by Fombitz(13828) About Me  on 2010-09-21 10:24:24 (Show Source):
You can put this solution on YOUR website!
1.K%2BD=96
2.D%2BM=93
3.K%2BM=81
Subtract eq. 3 from eq. 1,
K%2BD-K-M=96-81
D-M=15
Add that to eq. 2,
D-M%2BD%2BM=15%2B93
2D=108
highlight%28+D=54%29
Then from eq. 1,
K%2B54=96
highlight%28K=42%29
From eq. 3,
42%2BM=81
highlight%28M=39%29


Equations/346093: solve: sqrt(3-x)= -4
If you can could you also include you how you found the answer.
1 solutions

Answer 247477 by Fombitz(13828) About Me  on 2010-09-21 10:19:02 (Show Source):
You can put this solution on YOUR website!
sqrt%283-x%29=+-4
Square both sides.
3-x=16
x=3-16
highlight%28x=-13%29


Percentage-and-ratio-word-problems/346091: if you borrowed money at 15% simple interet after paying it off in one year your finally payoff was $1199.45 what was the original amount borrowed?
1 solutions

Answer 247476 by Fombitz(13828) About Me  on 2010-09-21 10:17:43 (Show Source):
You can put this solution on YOUR website!
P%2B%2815%2F100%29P=1199.45
1.15P=1199.45
P=1043
The original amount borrowed was $1043.


Rational-functions/346085: v/14 - v/49 = 1/14

solve
what is the solution for v?
1 solutions

Answer 247475 by Fombitz(13828) About Me  on 2010-09-21 10:16:30 (Show Source):
You can put this solution on YOUR website!
v%2F14+-+v%2F49+=+1%2F14
Multiply both sides by 2%2A7%2A7=98.
7v-2v=7
Now solve for v


Exponents/346089: divide and simplify
z^2 -81/ z divided by z-9/z+2 =
1 solutions

Answer 247474 by Fombitz(13828) About Me  on 2010-09-21 10:14:32 (Show Source):


Equations/346087: how many real solutions does x^4=7 have?
1 solutions

Answer 247473 by Fombitz(13828) About Me  on 2010-09-21 10:12:34 (Show Source):
You can put this solution on YOUR website!
2 real solutions, root%284%2C7%29 and -root%284%2C7%29
2 complex solutions, root%284%2C7%29i and -root%284%2C7%29i


Exponents/346086: What is the answer for this:
x^-2+y^-2/(xy)^-2

1 solutions

Answer 247471 by Fombitz(13828) About Me  on 2010-09-21 10:10:30 (Show Source):
You can put this solution on YOUR website!
You mean you want to simplify the expression?
.
.
.

%28x%5E%28-2%29%2By%5E%28-2%29%29%2F%28xy%29%5E%28-2%29=%28y%5E2%2Bx%5E2%29%2F%281%29
%28x%5E%28-2%29%2By%5E%28-2%29%29%2F%28xy%29%5E%28-2%29=highlight%28x%5E2%2By%5E2%29


test/345776: Please help solve a(x+b) = c; 2(x+1)=9
1 solutions

Answer 247470 by Fombitz(13828) About Me  on 2010-09-21 10:07:37 (Show Source):
You can put this solution on YOUR website!
I assume for x?
.
.
.
a%28x%2Bb%29+=+c
x%2Bb=c%2Fa
highlight%28x=c%2Fa-b%29
.
.
.
2%28x%2B1%29=9
x%2B1=9%2F2
x=9%2F2-1
x=9%2F2-2%2F2
highlight%28x=7%2F2%29


Exponential-and-logarithmic-functions/345656: 25^10x+8=(1/125)^4-2x
1 solutions

Answer 247469 by Fombitz(13828) About Me  on 2010-09-21 10:05:33 (Show Source):


Inequalities/345800: Solve and graph the following inequality:
5-(x-3),13
1 solutions

Answer 247468 by Fombitz(13828) About Me  on 2010-09-21 10:02:10 (Show Source):
You can put this solution on YOUR website!
Your inequality is incomplete.
Please repost.


Expressions-with-variables/345731: Find the LCM of 16x^2 y^5 z^4 and 21xy^3z^2
1 solutions

Answer 247467 by Fombitz(13828) About Me  on 2010-09-21 10:01:17 (Show Source):
You can put this solution on YOUR website!
16x%5E2y%5E5z%5E4=2%5E4x%5E2y%5E5z%5E4
21xy%5E3z%5E2=3%2A7%2Axy%5E3z%5E2
Now find the factors in common and the largest exponent in common.
xy%5E3z%5E2


Linear-equations/346082: How do I find the intersecting points of y=.15x and y=.2(x-20). do I set my problem up like .15x=.2(x-20)
1 solutions

Answer 247465 by Fombitz(13828) About Me  on 2010-09-21 09:58:58 (Show Source):
You can put this solution on YOUR website!
Yes, that's exactly how.
Then once you find x, use either equation to solve for y


Travel_Word_Problems/345703: An airplane flying at 450 miles/hr due south experiences a westerly wind of 75 miles/hr. What is the actual velocity?
1 solutions

Answer 247464 by Fombitz(13828) About Me  on 2010-09-21 09:58:13 (Show Source):
You can put this solution on YOUR website!
Let North be positive y, East be positive x.
The plane is traveling (0,-450).
The wind is blowing (-75,0).
The actual plane velocity is,
(0,-450)+(-75,0)=(-75,-450)
.
.
.
abs%28V%29=sqrt%2875%5E2%2B450%5E2%29
abs%28V%29=sqrt%285625%2B202500%29
abs%28V%29=sqrt%28208125%29
abs%28V%29=456mph
.
.
.
tan%28theta%29=75%2F450
theta=9.5degrees West of South.


Graphs/345691: find the slope for a line that passes through the points (-1,6) and (4,10).
1 solutions

Answer 247463 by Fombitz(13828) About Me  on 2010-09-21 09:51:54 (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=%2810-6%29%2F%284-%28-1%29%29
m=%2810-6%29%2F%284%2B1%29
Complete the calculation for the final answer.