Ok so to simplify 32^3/5, you will need to know the steps, so I'll tell u the step by step solution. ;D
So Step 1: You have to <span>Raise 32 to the 3rd power:
</span><span><span>1.1 </span> 32 = 2</span>⁵
(32)³ = (2⁵)³ = 2¹⁵
<span>the equation has ended on step 1, so now is:
</span><span> 2</span>¹⁵
<span>------
5
</span>
Now step 2:
Simplify it
(you can't simplify this equation but these is the steps you gotta do on other equations so I'm just giving an example.)
2¹⁵
------
5
So basically your final result is:
2¹⁵
------
5
=====End=====
Hope you understand it :D
-Skylor/Crystal
There are

ways of pairing up any 2 members from the pool of
contestants. Note that

so that

12 inches = 1foot
1yard = 3feet
6yards = 18feet
Rerange the question:
If edging cost $2.32 per 1foot stone, and you want a double layer of edging around your flower bed that is 18feet by 3feet. How much will edging you flower bed cost?
Perimter:
2(18+3)=42
And since you want to double it; double the perimeter too.
42(2)=84
2.32(84)=194.88
<span>I note that this problem starts out with "Which is a factor of ... " This implies that you were given several answer choices. If that's the case, it's unfortunate that you haven't shared them.
I thought I'd try finding roots of this function using synthetic division. See below:
f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation. Thanks.
Possible zeros of this poly are factors of 35: plus or minus 1, plus or minus 5, plus or minus 7. Use synthetic division; determine whether or not there is a non-zero remainder in each case. If none of these work, form rational divisors from 35 and 6 and try them: 5/6, 7/6, 1/6, etc.
Provided that you have copied down the function
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35 properly, this approach will eventually turn up 1 or 2 zeros of this poly. Obviously it'd be much easier if you'd check out the possible answers given you with this problem.
By graphing this function, I found that the graph crosses the x-axis at 7/2. There is another root.
Using synth. div. to check whether or not 7/2 is a root:
___________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------- ------------------------------
6 0 -4 10 0
Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial. Thus, (x-3.5), or (x-7/2), is a factor.
Answer:
2
Step-by-step explanation:
So we have the equation:

This is in the format point-slope form, where:

Here, m is the slope.
In our original equation, 2 replaces m.
Therefore, our slope is 2.