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cubed root of -125??
(-5)(-5)(-5)=-125
therefore the cubed root of -125 is -5.
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7 (outside of)square root of 24 + square root of 90 - 8 square root of 54






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Please help me with square root problem. Thanks
3(square root of 2 over 3)






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please help me divide and write in scientific notation?
31.5*10^-15/3.5*10^-7
*
*

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subtract 3b^2+10b+4 from 10b^2+6b-9




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This has no solution, are you sure you typed it in right?
sqrt3x+6+3=0

As soon as you see that the answer to a sqrt is a negative number, you know that there is no solution. If you were to keep trying to solve it, you would get an extraneous solution.






Check the solution in the original equation.




False, therefore, there is no solution.
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simplify:
10sqrt7-sqrt28





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(p^3)^3/p^2
Rules we need:


:




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solve this problem
Rules to use:

In other words, anything raised to a negative power can be written as 1 over that thing to the positive power.

In other words, anything to the zero power is 1.
:






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If you were supposed to find the value of the polynomial if x were 5, then you did it right.
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Write a system of eguations that could be used to solve this problem:The math club sold 200 raffle tickets for a total of $110 at $0.50 for students and $0.75 for adults.
Let student tickets be:x
Let adult tickets be:y
An equation that represents the total amount of tickets sold is:
x+y=200
An equation that represents the amount of money earned is:
.50x+.75y=110
You now have a system of equations with two equations an two unknowns:
x+y=200
.50x+.75y=110
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Assume the following statements:
P= the termperature is 70 degrees
Q= It is raining
R= There is no wind
Find the following statement in symbolic form:
If there is no wind, then i is raining or the temperature is 70 degrees.
A. R --> (Q v ~P)
. R --> (Q v P)
C. (Qv ~P) <-->
D. None of the above.
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Write the equation of the line that passes through point (–5, –12) with a slope of 2
The formula to attack this problem is called the point slope formula (this is not the only way to do this though.)
, m=slope (x1,y1)=given point





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Write the equation of the line that passes through point (–5, –12) with a slope of 2
The formula to attack this problem is called the point slope formula (this is not the only way to do this though.)
, m=slope (x1,y1)=given point





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Convert the common base- 10 number "13" to a base-2 number
A. 111 base 2
. 1101 base 2
C. 8401 base 2
D. None of the above
Proof:




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Assume the following statements:
P= The temperature is 70 degrees
Q= It is raining
R= There is no wind
Find the following statement in word form: Q --> (~R conjunction ~P)
If it is raining then there is wind and the temperature is not 70 degrees.
This matches none of the possible answers. D
:
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Please help me solve this equation:
Factor:
Two numbers that multiply to give you the last term, +1, but add together to give you the middle term,-2 are -1 and -1.
(x-1)(x-1)=0

x-1=0
x-1+1=0+1
x=1
Proof:


0=0
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verify that cos(pi/2 + x)=-sinx
The sum formula that applies here is:

Another important thing to remember is and




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Given a line containing the points (1,3), (2,4), (3,5) determine the slope-intercept form of the equation, give one additional point on this line and graph function.
Equation of line in slope-intercept form:
show your work:
Use the slope formula to find the slope of the line:
(x1,y1)=(1,3) (x2,y2)=(2,4)



Use the point slope formula to find the equation of the line:
m=1 (x1,y1)=(1,3)




Check to make sure that the third point (3,5) is part of the line.


Ok, so all three points are colinear and the equation of their line is:

Give one additional point in (x,y) form that would fall on this line:
Let x be anything, 0 hasn't been used yet.


Another point on the line would be: (0,2)
Graph the function:
Plot the points and connect them and you'll have the following line:

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x divided by 64 + 1 divided by x all divided by 1 + 8 divided by x








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if F is one-to-one, find equation for its inverse
f(x)=(x-8)^2
This is not a one to one function. Here's one way you can tell.
Graph the function, it's a function if you can draw a vertical line anywhere and only hit the graph once, it's a one to one function if you can also draw a horizontal line anywhere and only hit the graph once.

It's a function because you can draw a vertical line anywhere and only hit the graph once, however, if you were to draw a horizontal line you could hit the graph twice, therefore, it's not one to one.
You can only find the inverse of the function if they limit the domain of the original function to something like x>8 or x<8.
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write the equation in standord form of the horizontal and veritcal lines that pass through the point.
17. (2,4) 18. (-5,4)

:
The equation of horizontal lines and vertical lines are special cases.
For horizontal lines all the points have the same y value, so the equation is y= whatever that number is.
For vertical lines the x values never change, so the equation is x= whatever that number is.
:
17. (2,4)
Horizontal line equation: y=4
Vertical line equation: x=2
:
18. (-5,4)
Horizontal line equation: y=4
Vertical line equation: x=-5
:
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Complete the ordered pairs so that each is a solution for the given problem: 3x+4y=12 (_,0),(8/3,_)
Ordered pairs are in alphabetical order (x,y)
For (_,0) let y=0 and solve for x.
3x+4(0)=12
3x+0=12
3x=12
3x/3=12/3
x=4 So the ordered pair is (4,0)
For (8/3,_) let x=8/3 and solve for y
3(8/3)+4y=12
8+4y=12
8-8+4y=12-8
4y=4
4y/4=4/4
y=1 So the ordered pair is (8/3,1)
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log x=4
solve for x
If there's no base, it is a common log
log[10] x=4 The 10 is a subscript
x=10^4
x=10,000
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Factor x^12-x^4-x^3+1
factor by grouping


The difference of squares a^2-b^2=(a+b)(a-b)
The difference of cubes a^3-b^3=(a-b)(a^2+ab+b^2)


This can be in a different order or like this:

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The measures of two complementary angles are 12q-9 and 8q+14. Find the measures of the angles.
Complementary angles add together to make 90 degrees.
(12q-9)+(8q+14)=90
12q-9+8q+14=90
20q+5=90
20q+5-5=90-5
20q=85
20q/21=85/20
q=17/4
One angle measures to be:
12(17/4)-9
3(17)-9
51-9=42 degrees
The other angle measures to be:
8(17/4)+14
2(17)+14
24+14=38 degrees
:
Sanity Check, do the angles add up to 90 degrees?
42+38=90 yes
:
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Two angles are supplementary. One angle measures 26degrees more than the other one. Find the measure of the two angles.
Supplementary angles add up to 180 degrees
If the other angle is: x
The one angle is x+26
Problem to solve:
x+(x+26)=180
x+x+26=180
2x+26=180
2x+26-26=180-26
2x=154
2x/2=154/2
x=77
The other angle is: x=77 degrees
The one angle is: x+26=77+26=103 degrees
:
Sanity Check, do the two angles add to be 180 degrees?
77+103=180 yes.
:
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Simplify and write answer without negative exponents
(2xy^2z^-3)^-2
----------------
(3x^-1yz^-2)^-1








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(2,1) and (-2,-4) find the equation of the line.
In order to find the equation of a line, you need a point and a slope.
We have two points, so we can find the slope with the slope formula: , m=slope, (x1,y1) and (x2,y2) are two given points.
(x1,y1)=(2,1) and (x2,y2)=(-2,-4)



Now you can use the point slope formula to find the equation of a line: , m=slope and (x1,y1) is a given point
(x1,y1)=(2,1) and m=5/4









Standard Form
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Solve for x
10^(2x-1)= e^(4x-3)

you can either take the common log, or the natural log of both sides. I chose natural log so that I didn't have to deal with e as a number.
ln(e)=1
distribute ln(10)
Get x's to one side of = sign.
get things without x's to the other side.

factor out the x's
divide by the coefficient of x

Put it in your calculator.

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Divide.
x^2 – 11x + 24/ x - 8




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