Answer:
![\huge\boxed{2 \sqrt{10}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B2%20%5Csqrt%7B10%7D%7D)
Step-by-step explanation:
When taking a square root and making it a radical, we need to list out it's factors and find which one we can take the square root of.
The factors of 40 are:
1, 2, 4, 5, 8, 10, 20, 40.
Out of these, we need to look for one that we can find the square root of.
We know that the square root of 4 is 2.
Therefore, we can make
into
.
The square root of 4 is 2. Therefore, we can put that outside the radical.
.
Hope this helped!
Answer:
$16
Step-by-step explanation:
Multiply $80 dollars by 20% or .2.
You should get $16.
A tip for the future is to move the decimal point to the left twice.
ie. 60%=0.6, 175%=1.75, 3%=0.03
14^(7x) = 17^(-8-x)
Take the log of both sides:
7x*log 14 = -(8+x)*log 17, or 7x^log 14 = -8*log 17 - x*log 17.
Grouping the x terms, we get x(7*log 14 + log 17)= -8*log 17
Then:
-8*log 17
x= -------------------------- (answer)
7*log 14 + log 17
If by 4x(2) you mean 4x to the power 2 or 4x^2...it can be solved in the following way
f(x)=4x^2-4x-3
=4x^2+2x-6x-3
=2x(2x+2)-3(2x+2)
=(2x-3)(2x+2)
Therefore x=3/2 or x=-2/2=(-1)
The answer is C. 7.1 feet.
I hope this helps.