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Exponents/723261: Evaluate using the order of operations. (3 + 6)² ÷ (2 X 8 - 13)
I am coming up with 27 as an answer. Is this right??
1 solutions

Answer 443084 by Alan3354(30983) About Me  on 2013-03-07 15:40:27 (Show Source):
You can put this solution on YOUR website!
(3 + 6)² ÷ (2 X 8 - 13)
= 9%5E2%2F%2816-13%29
= 81/3
= 27
=========
Looks right to me.
PS Use * (Shift 8) for multiply, not x.


�t�e�s�t/723262: I have a question. Which of the following is true of the roots of the equations: x^2-6x + 8=0 ? /p>
A. They are opposite in sign and equal.
B. They are opposite in sign and the larger root is positive.
C. They are opposite in sign and the larger root is negative.
D. They are both positive.
E. They are both negative.
1 solutions

Answer 443083 by Alan3354(30983) About Me  on 2013-03-07 15:33:50 (Show Source):
You can put this solution on YOUR website!
I have a question. Which of the following is true of the roots of the equations: x^2-6x + 8=0 ? /p>
A. They are opposite in sign and equal.
B. They are opposite in sign and the larger root is positive.
C. They are opposite in sign and the larger root is negative.
D. They are both positive.
E. They are both negative.
----------------
The product is +, so they have the same sign.
The x term is negative --> they're both negative.


Polygons/723211: find measure of an interior angle and an exterior angle of a regular hexagon
1 solutions

Answer 443074 by Alan3354(30983) About Me  on 2013-03-07 13:41:30 (Show Source):
You can put this solution on YOUR website!
find measure of an interior angle and an exterior angle of a regular hexagon
--------------
Ext angles = 360/n
Int angles = 180 - Ext


Polynomials-and-rational-expressions/723120: Question: Write each of the following as a polynomial in descending powers of its variable.
13 9x(x + 2) My answer: 9x^2+18
14 (9x + 1)(x + 2)
15 (x – 7)(x + 9)
16 (x - 5)(x + 5)
17 (4x – 1)2
18 (x3 + x)2
Note: It says use the "FOIL" for problems 14-18. But Im not sure how to do that! Help please? Thank you so much!

1 solutions

Answer 443039 by Alan3354(30983) About Me  on 2013-03-07 10:32:56 (Show Source):
You can put this solution on YOUR website!
Write each of the following as a polynomial in descending powers of its variable.
13 9x(x + 2) My answer: 9x^2+18
14 (9x + 1)(x + 2)
15 (x – 7)(x + 9)
16 (x - 5)(x + 5)
17 (4x – 1)2
18 (x3 + x)2
-----------------------
13 9x(x + 2) My answer: 9x^2+18 *** = 9x^2 + 18x
--------
14 (9x + 1)(x + 2)
FOIL is First, Outside, Inside, Last
= 9x^2 + 18x + x + 2
= 9x^2 + 19x + 2
-----------------
15 (x – 7)(x + 9)
= x^2 + 2x - 63
-------
You do the rest. email via the Thank You note for help or to check your work.
16 (x - 5)(x + 5)
17 (4x – 1^)2
18 (x3 + x^)2


logarithm/723059: Find a logarithm of 9.369
1 solutions

Answer 443034 by Alan3354(30983) About Me  on 2013-03-07 09:28:20 (Show Source):
You can put this solution on YOUR website!
Find a logarithm of 9.369
--------------
Use a calculator.


Square-cubic-other-roots/723110: how to solve the equation 8x square +1=3x
1 solutions

Answer 443032 by Alan3354(30983) About Me  on 2013-03-07 09:21:00 (Show Source):
You can put this solution on YOUR website!
how to solve the equation 8x square +1=3x
-------------
Use ^ (Shift 6) for exponents.
Get all the terms on one side, = 0.
8x^2 - 3x + 1 = 0
------
Use the quadratic equation.
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 8x%5E2%2B-3x%2B1+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%28-3%29%5E2-4%2A8%2A1=-23.

The discriminant -23 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -23 is + or - sqrt%28+23%29+=+4.79583152331272.

The solution is , or
Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+8%2Ax%5E2%2B-3%2Ax%2B1+%29




Trigonometry-basics/723113: Solve the exponential equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.)
7^−5t = 0.2
t=?
1 solutions

Answer 443031 by Alan3354(30983) About Me  on 2013-03-07 09:17:49 (Show Source):
You can put this solution on YOUR website!
7^−5t = 0.2
-----
log(7^−5t) = log(0.2)
-5t*log(7) = log(0.2)
t = -log(0.2)/(5*log(7))
t =~ 0.165


Exponents/722907: 12 to the 20th power divided by 12 to the 6th power.
1 solutions

Answer 442951 by Alan3354(30983) About Me  on 2013-03-06 20:46:32 (Show Source):
You can put this solution on YOUR website!
12 to the 20th power divided by 12 to the 6th power.
-------------
20 - 6 = 14
---
--> 12%5E14


Circles/722961: Write the standard form of the equation and the general form of the equation of the circle with radius r and center (h,k). Then graph the circle. r=5; (hk)=(-4,-3)
1 solutions

Answer 442950 by Alan3354(30983) About Me  on 2013-03-06 20:44:57 (Show Source):
You can put this solution on YOUR website!
Write the standard form of the equation and the general form of the equation of the circle with radius r and center (h,k). Then graph the circle. r=5; (hk)=(-4,-3)
-------------
%28x%2B4%29%5E2+%2B+%28y%2B3%29%5E2+=+5%5E2
You can expand it to get the general form.
-------------
To graph it, dl the FREE graph software at
http://padowan.dk
Use F6 and enter %28x%2B4%29%5E2+%2B+%28y%2B3%29%5E2+=+5%5E2


Travel_Word_Problems/722935: If you drive 220 miles in 5 hours what is your average speed?

1 solutions

Answer 442949 by Alan3354(30983) About Me  on 2013-03-06 20:40:26 (Show Source):
You can put this solution on YOUR website!
If you drive 220 miles in 5 hours what is your average speed?
------------
d = r*t
r = d/t


pythagorean/722946: 19² + b² = 35²

1 solutions

Answer 442948 by Alan3354(30983) About Me  on 2013-03-06 20:39:16 (Show Source):
You can put this solution on YOUR website!
19² + b² = 35²
------------
Do you have a question?


Triangles/722956: if ad=3 and db=24, find ac
1 solutions

Answer 442946 by Alan3354(30983) About Me  on 2013-03-06 20:36:44 (Show Source):
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if ad=3 and db=24, find ac
----------
There's no c in the given terms.


Numeric_Fractions/722940: How do I solve this?
5/6 x 18 1/12
And
4/5 x 15 1/8

Thanks

1 solutions

Answer 442945 by Alan3354(30983) About Me  on 2013-03-06 20:35:36 (Show Source):
You can put this solution on YOUR website!
How do I solve this?
5/6 x 18 1/12
And
4/5 x 15 1/8
----------------
Change the mixed numbers to fractions and multiply.


Polynomials-and-rational-expressions/722934: I am trying to solve this equation and desperately need help. (x to the 3rd power +2x second power minus 3x plus 2) divided by (x+1). Can you show me how to solve this one?
Thank you

1 solutions

Answer 442943 by Alan3354(30983) About Me  on 2013-03-06 20:34:21 (Show Source):
You can put this solution on YOUR website!
I am trying to solve this equation and desperately need help. (x to the 3rd power +2x second power minus 3x plus 2) divided by (x+1). Can you show me how to solve this one?
-------------
That's not an equation, so there's nothing to solve.


Polynomials-and-rational-expressions/722947: how do i solve this rational polynomial equation by grouping!?
x^2y - 9y = x^3
I know you set it equal to zero then I'm lost after that!

1 solutions

Answer 442942 by Alan3354(30983) About Me  on 2013-03-06 20:33:12 (Show Source):
You can put this solution on YOUR website!
how do i solve this rational polynomial equation by grouping!?
x^2y - 9y = x^3
I know you set it equal to zero then I'm lost after that!
==============
Polynomials are not solved.
Equations are solved.
This is 1 equation with 2 variables, x & y.
What do you want to solve for?
x or y?


test/722885: Find the slope if it exists of each of
these lines (a) X=-8 (b) Y=-9 (c) X=Y?
1 solutions

Answer 442922 by Alan3354(30983) About Me  on 2013-03-06 19:23:06 (Show Source):
You can put this solution on YOUR website!
Find the slope if it exists of each of
these lines
(a) X=-8
That's a line thru (-8,0)
x = -8 for all values of y
It's parallel to the y-axis, so its slope is infinite, or undefined.
-----------
(b) Y=-9
It's parallel to the x-axis thru (-9,0)
y doesn't change, so slope = zero
-----------
(c) X=Y?
y = x
In slope-intercept form that's y = 1x + 0
slope = 1


Equations/722896: Find the equation of the line passing through the point (-1,-4) that is parallel to the line -9+5y=6
So far I have 5y=-9+6 but I am not sure because there is no x.
1 solutions

Answer 442919 by Alan3354(30983) About Me  on 2013-03-06 19:14:20 (Show Source):
You can put this solution on YOUR website!
Find the equation of the line passing through the point (-1,-4) that is parallel to the line -9+5y=6
So far I have 5y=-9+6 but I am not sure because there is no x.
----------------
Sometimes there is no x.
5y=-9+6
5y = -3
y = -3/5
---
That's a line parallel to the x-axis thru (-3/5,0)
Its slope is zero.
All parallel lines have the same slope.
----
A line thru (-1,-4) with a slope of zero is y = -4
It's parallel to the x-axis.
y = -4 for all values of x.


Graphs/722895: y=2× + 1.

1 solutions

Answer 442918 by Alan3354(30983) About Me  on 2013-03-06 19:10:10 (Show Source):
You can put this solution on YOUR website!
y=2× + 1.
-----------
Do you have a question?


Travel_Word_Problems/722891: A plane is moving 300 miles Per hour. How far will the plane have gone in 2.5 hours?
1 solutions

Answer 442917 by Alan3354(30983) About Me  on 2013-03-06 19:09:28 (Show Source):
You can put this solution on YOUR website!
A plane is moving 300 miles Per hour. How far will the plane have gone in 2.5 hours?
----------
d = r*t


Volume/722890: What is the volume of a cylinder with a radius of 7 and a height of 20

1 solutions

Answer 442913 by Alan3354(30983) About Me  on 2013-03-06 19:05:11 (Show Source):
You can put this solution on YOUR website!
What is the volume of a cylinder with a radius of 7 and a height of 20
------------
Vol+=+pi%2Ar%5E2h cubic units


Linear-equations/722882: find the slope of the line through each pair of points (1,14) (-16,10)
1 solutions

Answer 442907 by Alan3354(30983) About Me  on 2013-03-06 18:58:15 (Show Source):
You can put this solution on YOUR website!
find the slope of the line through each pair of points (1,14) (-16,10)
-----------
Slope, m = diffy/diffx


Geometry_Word_Problems/722853: how can i express the shaded portion of a rectangle as a decimal?
1 solutions

Answer 442906 by Alan3354(30983) About Me  on 2013-03-06 18:57:29 (Show Source):
You can put this solution on YOUR website!
how can i express the shaded portion of a rectangle as a decimal?
------------------
Using numbers, with a decimal point.


Triangles/722848: Heron's formula can be used for the area of a triangle where a, b, and c are side lengths. Calculate the area of the triangle that has the side lengths of 5cm, 8cm, and 12cm. Leave answer in simplest radical form.

1 solutions

Answer 442904 by Alan3354(30983) About Me  on 2013-03-06 18:55:45 (Show Source):
You can put this solution on YOUR website!
Heron's formula can be used for the area of a triangle where a, b, and c are side lengths. Calculate the area of the triangle that has the side lengths of 5cm, 8cm, and 12cm. Leave answer in simplest radical form.
----------------
Why don't you do that?


Polynomials-and-rational-expressions/722872: We just started solving polynomials by grouping. My teacher said this is a baby step for quadratic equations but I don't really get it.
The problem I need help with is: 2a^2+3a+6a+a
We're supposed to group the first two and last two sets of numbers based on the greatest common factor.
I got this: a(2a+3)+a(6+1)
My teacher said the two groups of numbers in parentheses are supposed to match. Mine doesn't and I got confused. Please help!
1 solutions

Answer 442900 by Alan3354(30983) About Me  on 2013-03-06 18:54:08 (Show Source):
You can put this solution on YOUR website!
We just started solving polynomials by grouping. My teacher said this is a baby step for quadratic equations but I don't really get it.
The problem I need help with is: 2a^2+3a+6a+a
We're supposed to group the first two and last two sets of numbers based on the greatest common factor.
I got this: a(2a+3)+a(6+1)
My teacher said the two groups of numbers in parentheses are supposed to match. Mine doesn't and I got confused.
---------------
1st, polynomials are not solved. Equations are solved.
-----
I think you mean factoring by grouping.
2a^2+3a+6a+a
That has 3 a terms, I suspect a typo.
= 2a^2 + 10a
= 2a*(a + 5)


Linear-systems/722678: Graph 4x+18=-2x and define slope, x&y intercept.
I found: 4x=-2x-18=
4x+2x=-2x-18+2x
6x/6=-18/6
x=-3
But slope and y is 0, is this correct? How would I graph this? Thank you
1 solutions

Answer 442822 by Alan3354(30983) About Me  on 2013-03-06 11:58:55 (Show Source):
You can put this solution on YOUR website!
Graph 4x+18=-2x and define slope, x&y intercept.
I found: 4x=-2x-18=
4x+2x=-2x-18+2x
6x/6=-18/6
x=-3
But slope and y is 0, is this correct? How would I graph this?
--------------
The slope is not zero.
y can be zero, or any value.
--------------
x = -3 for all values of y.
To graph it, pick any values for y.
eg
(-3,0) and (-3,10)
Draw a line thru the 2 points.
-----
The line is parallel to the y-axis.
The slope is infinite, or undefined.
The x-intercept is -3, or (-3,0)
There is no y-intercept, it's parallel to the y-axis.


Subset/722677: N-10=11 do you add 10 to each side or subtract 10 from each side
1 solutions

Answer 442821 by Alan3354(30983) About Me  on 2013-03-06 11:52:33 (Show Source):
You can put this solution on YOUR website!
N-10=11 do you add 10 to each side or subtract 10 from each side
---------------
Try it, see what you get.


Travel_Word_Problems/722645: A car travels at an average speed of 64 miles per hour. How many miles does it travel in 3 hours and 15 minutes?
1 solutions

Answer 442820 by Alan3354(30983) About Me  on 2013-03-06 11:15:08 (Show Source):
You can put this solution on YOUR website!
A car travels at an average speed of 64 miles per hour. How many miles does it travel in 3 hours and 15 minutes?
----------------
3 hr 15 m = 3.25 hours
----
d = r*t


Rational-functions/722610: how to solve 4:5:9

1 solutions

Answer 442809 by Alan3354(30983) About Me  on 2013-03-06 09:14:01 (Show Source):
You can put this solution on YOUR website!
how to solve 4:5:9
---------------
It's a ratio.
Equations are solved. They have variables, often "x" and you solve for x.
Ratios have no variables and are not solved.


Numeric_Fractions/722454: please help me solve this equation :-14 + 8y = -14
1 solutions

Answer 442746 by Alan3354(30983) About Me  on 2013-03-05 21:51:21 (Show Source):
You can put this solution on YOUR website!
please help me solve this equation :-14 + 8y = -14
---------
Add 14 to both sides.
Divide by 8


Graphs/722463: table for y=.5(x-2)^2-4
1 solutions

Answer 442744 by Alan3354(30983) About Me  on 2013-03-05 21:50:23 (Show Source):
You can put this solution on YOUR website!
table for y=.5(x-2)^2-4
-----------
Pick values for x and find y


Linear_Equations_And_Systems_Word_Problems/722467: if a cell phone cost 100 dollars and is decreased by 400% then how much will the cell phone cost?
1 solutions

Answer 442743 by Alan3354(30983) About Me  on 2013-03-05 21:47:50 (Show Source):
You can put this solution on YOUR website!
if a cell phone cost 100 dollars and is decreased by 400% then how much will the cell phone cost?
----------------
That makes no sense.
The cost would be -$300.